If cos theta = ½, what is csc theta? cot theta? NOTE: Enter the exact answers without using trigonometric functions for 0 ≤ theta ≤ π/2
Csc theta =
Cot theta =
Answers
If cos theta = ½, then sin theta = √(1 - cos^2 theta) = √(1 - ¼) = √(3/4) = √3/2 (using the Pythagorean identity).
Therefore, csc theta = 1/sin theta = 1/(√3/2) = 2/√3 = (2/√3) * (√3/√3) = 2√3/3.
To find the values of CSC theta and cot theta when cos theta = 1/2, follow these steps:
Step 1: Find sin theta
We know that cos² theta + sin² theta = 1, so we can solve for sin theta.
(1/2)² + sin² theta = 1
1/4 + sin² theta = 1
sin² theta = 3/4
sin theta = √(3/4) = √3/2
Step 2: Calculate csc theta
Csc theta is the reciprocal of sin theta.
Csc theta = 1/sin theta = 1/(√3/2) = 2/√3 = (2√3)/3
Step 3: Calculate cot theta
Cot theta is the reciprocal of tan theta and tan theta = sin theta/cos theta.
Cot theta = 1/tan theta = cos theta/sin theta = (1/2)/(√3/2) = 1/√3 = √3/3
So, csc theta = (2√3)/3 and cot theta = √3/3.
Also, cot theta = cos theta/sin theta = ½/(√3/2) = 1/√3 = (1/√3) * (√3/√3) = √3/3.
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Related Questions
What is the greatest common factor of −15x2y − 10xy3 5xy4? 5xy 5x2y4 5xy2 xy
Answers
the greatest common factor of the given expressions is -5xy.
To find the greatest common factor of the given expressions, we need to factor them first.
\(-15x^2y - 10xy^3 + 5xy^4 = -5xy(3x^2 + 2y^2 - y^3)\\5xy = 5xy(1)\\5x^2y^4 = 5xy^4(x^2)\\5xy^2 = 5xy^2(1)\)
xy = xy(1)
Now, we can find the common factors by taking the minimum exponent of each variable in the factors:
The common factors are:5xy
Therefore, the greatest common factor of the given expressions is -5xy.
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how to calculate the average Quality score across four agents
Answers
To calculate the average quality score across four agents, you need to add up the quality scores of all four agents and then divide by 4.
What is the average quality score?
. This figure is the impression-weighted average for the days you are now viewing in the report.
For example,
if agent A has a quality score of 80, agent B has a quality score of 90, agent C has a quality score of 85, and Agent D has a quality score of 75, then you would add up these scores (80 + 90 + 85 + 75 = 330) and divide by 4 to get an average quality score of 82.5.
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Mary's math certificate is 10 inches tall and 13 inches wide. Mary wants to put the certificate
in a fancy frame that costs $1.69 per inch. How much will it cost to frame Mary's math
certificate?
Answers
Answer:
$219.70
Step-by-step explanation:
First, you need to find the area of the certificate, which you can do by multiplying 10*13, since it is a rectangle. 10*13 is 130. Then, multiply 130 by the price per inch, which is $1.69. 130*1.69=219.7, which in financial terms would amount to $219.70.
what is 40 meters in 8 seconds?
Answers
5 meters/ 1 second because if you 40 and 8 you will get 5 and divided 8 by 8 and you get 1, you just divide the denominator by both numerator and denominator.
Answer:
5
Step-by-step explanation:
distance over time you divide
Work out the value of f in the following equation:
f sin 42° = 2.5
Give your answer to 2 d.p.
Answers
Answer:
f = 3.74
Step-by-step explanation:
f sin 42° = 2.5
f = 2.5 (sin 42° = 0.669)
sin 41°
= 3.736
= 3.74 (2.d.p.)
The value of f in the given equation is 3.74.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given equation is,
f sin 42° = 2.5
Dividing both sides of the equation by sin 42°,
f = 2.5 / sin 42°
f = 3.74
Hence the value of f is 3.74.
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which expression represents the phrase, one fifth the sum of 14 and a number? 15(14) x1 fifth left parenthesis 14 right parenthesis plus x15(14 x)1 fifth left parenthesis 14 plus x right parenthesis15 14 x1 fifth plus 14 plus x15x 14
Answers
The expression that represents the phrase "one fifth the sum of 14 and a number" is **(1/5)(14 + x)**.
To break it down, the phrase "one fifth" means dividing by 5, and "the sum of 14 and a number" means adding 14 to the number. Therefore, we start with the sum of 14 and x, which is (14 + x), and then multiply it by one fifth, which is (1/5). This gives us the expression (1/5)(14 + x), representing one fifth the sum of 14 and a number.
The other expressions you provided, such as 15(14) x 1 fifth (14) plus x and 15(14 x) 1 fifth (14 plus x) 15 14 x 1 fifth plus 14 plus x 15x 14, do not accurately represent the given phrase. It's important to correctly interpret the language used in the phrase and translate it into the appropriate mathematical expression.
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The student population at
a high school is 1,425 and
decreases by 3% each
year. What will the student
population be after 6
years?
Answers
Answer:
1,1685
Step-by-step explanation:
First, we have to find how much the population decreases each year (find 3% of the number 1,425):
\( \frac{1.425 \times 3\%}{100\%} = 0.04275\)
Now, that we know how much it decreases each year.
We have to multiply this number by 6 to find how much it will decrease after 6 years:
0,04275 × 6 = 0,2565
Now, subtract this number from the earlier number (1,425) to find the population after 6 years:
1,425 - 0,2565 = 1,1685
Answer:
the student population will be 1187 after 6 years
Step-by-step explanation:
The rate at which the population is decreasing is exponential. We would apply the exponential decay formula which is expressed as
\(A = P(1 - r)^t\)
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of decrease.
From the information given,
\(P = 1425\)
\(r = 3\% = \dfrac{3}{100} = 0.03\),
\(t = 6 \ \text{years}\)
Therefore,
\(A = 1425(1 - 0.03)^6\)
\(A = 1425(0.97)^6\)
\(A = 1187\)
Find the amount to which $800 will grow under each of these conditions: a. 8% compounded annually for 9 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ b. 8% compounded semiannually for 9 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ C. 8% compounded quarterly for 9 years. Do not round intermediate calculations. Round your answer to the nearest cent. d. 8% compounded monthly for 9 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ e. 8% compounded daily for 9 years. Assume 365-days in a year. Do not round intermediate calculations. Round your answer to the nearest cent. $ f. Why does the observed pattern of FVs occur?
Answers
The amount to which $800 will grow under each of the given conditions increases as the compounding period decreases.
The amount to which $800 will grow under each of these conditions is as follows:a) 8% compounded annually for 9 years
When compounded annually for 9 years at 8%, the formula is: Amount = Principal x [(1 + rate/n)^(n*t)]
Where: Principal = $800 Rate = 8% Time = 9 years
Compounded annually = n = 1 Amount = $1,447.91 (rounded to the nearest cent)
b) 8% compounded semiannually for 9 years Compounded semiannually for 9 years at 8%, the formula is:
Amount = Principal x [(1 + rate/n)^(n*t)]
Where: Principal = $800 Rate = 8% Time = 9 years Compounded semiannually = n = 2 Amount = $1,471.16 (rounded to the nearest cent)
c) 8% compounded quarterly for 9 years Compounded quarterly for 9 years at 8%, the formula is:
Amount = Principal x [(1 + rate/n)^(n*t)]
Where: Principal = $800 Rate = 8% Time = 9 years Compounded quarterly = n = 4 Amount = $1,491.03 (rounded to the nearest cent)
d) 8% compounded monthly for 9 years Compounded monthly for 9 years at 8%, the formula is: Amount = Principal x [(1 + rate/n)^(n*t)]
Where: Principal = $800 Rate = 8% Time = 9 years Compounded monthly = n = 12 Amount = $1,505.91 (rounded to the nearest cent)
e) 8% compounded daily for 9 years Compounded daily for 9 years at 8%, the formula is:
Amount = Principal x [(1 + rate/n)^(n*t)]
Where: Principal = $800 Rate = 8% Time = 9 years Compounded daily = n = 365Amount = $1,511.74 (rounded to the nearest cent)
The observed pattern of FVs (future values) occurs due to compounding. Compounding is the process of earning interest not only on the principal amount invested but also on the interest earned from the principal. This results in an increase in the interest earned and the future value of the investment. The more frequent the compounding, the higher the future value of the investment. Hence, the amount to which $800 will grow under each of the given conditions increases as the compounding period decreases.
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For which of these numbers would you most likely count rather than subitize?
A. 0
B. 1
C. 3
D. 5
Answers
A and B are typically subitized, which means that they can be immediately recognized without counting. C and D are more likely to be counted.
Counting is the process of determining the number of items in a set by successively adding one. Subitizing, on the other hand, is the ability to immediately recognize the number of items in a small set without counting. The capacity for subitizing is limited to small sets typically ranging from 1 to 5 items, depending on the individual's age and mathematical ability. The answer to this question would be option C, 3. For most individuals, recognizing the number of items in a set of 3 would require counting rather than subitizing, as 3 is at the upper limit of the typical range for subitizing.
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the area of rectangle is 297 sq cm if its length is increased by 3 cm and width decreases by 1 cm its area increased by 3 cm. sq. find the length and width of rectangle
Answers
The length and width of the rectangle are 12.5 cm and 22 cm, respectively.
Let L be the length of the rectangle, and W be the width of the rectangle, then we have that:
L x W = 297 sq cm 1.
If the length is increased by 3 cm and width decreased by 1 cm, then we have that:
(L + 3) x (W - 1) = 297 + 3 sq cm -......(2).
Expand equation 2, we have:
LW + 2L - W = 300 sq cm-.......(3)
We have two equations from 1 and 3:
LW = 297 sq cm LW + 2L - W = 300 sq cm 3.
Substitute equation 1 into equation 3.
297 + 2L - W = 300 sq cm
2L - W = 3 sq cm
2L - W = 3 sq cm
2L = W + 3 sq cm
L = (W + 3)/2 sq cm
W x (W + 3)/2 = 297 sq cm
W² + 3W - 594 = 0 (W + 27) (W - 22) = 0
Therefore, the width of the rectangle is either 22 cm or -27 cm. Since the width cannot be negative, we discard the value of -27 cm. Therefore, the width of the rectangle is 22 cm. Finally, let's calculate the length of the rectangle:
L = (W + 3)/2 sq cm L = (22 + 3)/2 sq cm L = 25/2 sq cm L = 12.5 sq cm
Therefore, the length and width of the rectangle are 12.5 cm and 22 cm, respectively.
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Determine the global extreme values of the (x,y)=11x−5yf(x,y)=11x−5y if y≥x−9,y≥x−9, y≥−x−9,y≥−x−9, y≤6.y≤6.
(Use symbolic notation and fractions where needed.)
Answers
The function $f(x, y) = 11x - 5y$ has a global maximum of $105$ at $(0, 6)$ and a global minimum of $-54$ at $(0, -9)$, the first step is to find the critical points of the function.
The critical points of a function are the points where the gradient of the function is equal to the zero vector. The gradient of the function $f(x, y)$ is: ∇f(x, y) = (11, -5)
```
The gradient of the function is equal to the zero vector at $(0, 6)$ and $(0, -9)$. Therefore, these are the critical points of the function.
The next step is to evaluate the function at the critical points and at the boundary of the region. The boundary of the region is given by the inequalities $y \ge x - 9$, $y \ge -x - 9$, and $y \le 6$.
The function $f(x, y)$ takes on the value $105$ at $(0, 6)$, the value $-54$ at $(0, -9)$, and the value $-5x + 54$ on the boundary of the region.
Therefore, the global maximum of the function is $105$ and it occurs at $(0, 6)$. The global minimum of the function is $-54$ and it occurs at $(0, -9)$.
The first step is to find the critical points of the function. The critical points of a function are the points where the gradient of the function is equal to the zero vector. The gradient of the function $f(x, y)$ is: ∇f(x, y) = (11, -5)
The gradient of the function is equal to the zero vector at $(0, 6)$ and $(0, -9)$. Therefore, these are the critical points of the function.
The next step is to evaluate the function at the critical points and at the boundary of the region. The boundary of the region is given by the inequalities $y \ge x - 9$, $y \ge -x - 9$, and $y \le 6$.
We can evaluate the function at each of the critical points and at each of the points on the boundary of the region. The results are shown in the following table:
Point | Value of $f(x, y)$
$(0, 6)$ | $105$$(0, -9)$ | $-54$$(x, x - 9)$ | $11x - 45$ for $x \ge 9$$(x, -x - 9)$ | $-5x + 54$ for $x \ge 9$$(x, 6)$ | $11x - 30$ for $-9 \le x \le 6$The largest value in the table is $105$, which occurs at $(0, 6)$. The smallest value in the table is $-54$, which occurs at $(0, -9)$. Therefore, the global maximum of the function is $105$ and it occurs at $(0, 6)$. The global minimum of the function is $-54$ and it occurs at $(0, -9)$.
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Which expression is equivalent to -36 minus 8?
Answers
Answer:
The answer is
-36-8= - 44
Rachel van Dressler earns 3% commission on all sales. What was her total sales amount if she earns a commission of $3652
Answers
Answer:
Van Dressler's total sales amount is $12,166.6666667
Step-by-step explanation:
3% = $365
365/3*100 =$12,166.6666667
What is the area of the rectangle with the width of 6x2 and length of 12x3
Answers
Answer: A=72x5
Step-by-step explanation:
The formula for the area of a rectangle is:
Area=length*width
here,
length=12x3
width=6x2
Putting these values in the formula for area gives-
Area= 12x3*6x2
simplifying the equation gives-
Area = (12*6)*(x3*x2)
we can multiply the constants and use the exponents rule to multiply the terms with power.
y^a* y^b = y^(a+b)
that provides us with-
Area = 72 *(x^(3+2))
Area = 72x5
what phonetic property or features distinguishes the set of sounds in set A from those in set B?
A. [p] [t] [k] [s] [f]
B. [b] [d] [g] [z] [v]
Place of Articulation
Manner of Articulation
There are no differences between these sets of sounds
Voicing
Answers
The phonetic property or features that distinguishes the set of sounds in set A from those in set B is Voicing.
What's voicingVoicing is the phonetic property or feature that distinguishes the set of sounds in set A from those in set B.
Voicing is the difference between sounds that are produced either with vibration of the vocal folds, which is voiced, or without such a vibration, which is voiceless.
The sets of sounds in set A include [p] [t] [k] [s] [f] while the sets of sounds in set B include [b] [d] [g] [z] [v].Voicing is a crucial feature in distinguishing the two sets of sounds.
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Anna baked 3 batches of cookies with c cc cookies in each batch. She then ate 8
cookies!
Answers
Answer:
there is no correct answer
Step-by-step explanation:
not enough information.
mya takes 2 hours to plant 50 flower bulbs. francis takes 3 hours to plant 45 flower bulbs. working together, how long should it take them to plant 150 bulbs?
Answers
Answer:
rate = work / time
For Mya, her rate is:
rate_Mya = 50 bulbs / 2 hours = 25 bulbs/hour
For Francis, his rate is:
rate_Francis = 45 bulbs / 3 hours = 15 bulbs/hour
Working together, their combined rate is:
rate_combined = rate_Mya + rate_Francis
rate_combined = 25 bulbs/hour + 15 bulbs/hour
rate_combined = 40 bulbs/hour
Now we can use the formula again to find the time it takes to plant 150 bulbs:
time = work / rate_combined
time = 150 bulbs / 40 bulbs/hour
time = 3.75 hours
So it would take Mya and Francis working together 3.75 hours (or 3 hours and 45 minutes) to plant 150 flower bulbs.
Step-by-step explanation:
A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 6 inches.
Answers
Step-by-step explanation:
Divide 6 by 0.5 to represent how many hours it takes to burn down the whole candle.
\(6 \div \frac{1}{2} = 6 \times \frac{2}{1} = 12\)
It'll take 12 hours to burn down the whole candle.
a) 4/15 + 2/5
its urgent pls
Answers
Answer:
10/15, or 2/3
Step-by-step explanation:
To get common denominator multiply 2/5 by three: 6/15
4/15 + 6/15 = 10/15
divide by 5: 2/3
Hey there!
4/15 + 2/5
≈ 4/15 + 6/15
≈ 4 + 6 / 15 - 0
≈ 10 / 15
≈ 10 ÷ 5 / 15 ÷ 5
≈ 2/3
Therefore, your answer is: 2/3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
what is 29/5 is equal to
Answers
Answer:
5 4/5 or 5.8
Step-by-step explanation:
convert 29/5 to 5 4/5
or
divide 29/5 is 5.8
Classified ads in a newspaper offered for sale 20 used cars of the same make and model. The output of a regression analysis is given. Assume all conditions for regression have been satisfied. Create a 95% confidence interval for the slope of the regression line and explain what your interval means in context. Find the 95% confldence interval for the slope. The confidence interval is (Round to two decimal places as needed.)
Answers
Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.
This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.
The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.
Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].
It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].
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what liner equation is represented by the table (-2,7) (1,4) (3,2) (6,-1)
Answers
The linear equation represented by the table (-2,7) (1,4) (3,2) (6,-1) is y = -x + 5. To find the linear equation represented by the table (-2,7) (1,4) (3,2) (6,-1), we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.
First, we need to find the slope, which is the change in y over the change in x between any two points. Let's choose the points (1,4) and (3,2):
slope = (y2 - y1) / (x2 - x1)
= (2 - 4) / (3 - 1)
= -2 / 2
= -1
Now that we have the slope, we can plug it in to the slope-intercept form and solve for b using one of the points. Let's use the point (1,4):
4 = (-1)(1) + b
b = 5
So the equation of the line is y = -x + 5.
To check our work, we can plug in the other points and make sure they all satisfy the equation:
-2 = (-1)(-2) + 5 (true)
7 = (-1)(-2) + 5 (true)
2 = (-1)(3) + 5 (true)
-1 = (-1)(6) + 5 (true)
Therefore, the linear equation represented by the table (-2,7) (1,4) (3,2) (6,-1) is y = -x + 5.
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Solve the quadratic equation x2=25/36.
What are the solutions of the equation x2=25/36?
Answers
Answer:
x is equal to positive 5/6 and negative 5/6
Step-by-step explanation:
To solve this, you simply need to take the square root of both sides:
\(x^2 = \frac{25}{36}\\\sqrt{x^2} = \sqrt{\frac{25}{36}}\\x = \pm \frac{5}{6}\)
Please help with this, will give brainliest.
Answers
Answer:
A) 4 cats
Step-by-step explanation:
let x = 16-y
substitute to get:
18(16-y) + 30y = 432
288 - 18y + 30y = 432
12y = 144
y = 12
x = 4
A compound inequality is graphed, and its graph consists of all real numbers. Which open sentence could have resulted in this solution set?
Group of answer choices
r > 3 or r > –2
r > 3 or r –2
r < 3 or r < –2
Answers
Answer:
r>3 or r >-2
Step-by-step explanation:
Given the similar pyramids pictured below.
The volume of pyramid 1 is 675 cm3 and its surface area is 504 cm2 If the volume of pyramid 2 is 3125 cm3 , what is its
surface area?
Answers
Answer:
1400 cm²
Step-by-step explanation:
The ratio of volumes of similar figures is the cube of the scale factor. Here, that is 3125/675 = sf³. That means the scale factor is ∛(3125/675) = 5/3.
The ratio of areas of similar figures is the square of the scale factor. Here, that is (5/3)² = 25/9.
The area of the larger pyramid is 25/9 times the area of the smaller one:
A = (25/9) × 504 cm² = 1400 cm²
The surface area of pyramid 2 is 1400 cm².
_____
Additional comment
You don't need to find the scale factor. You can jump directly to the fact that the surface area multiplier is the 2/3 power of the volume ratio.
If z = 2x2 - 3y with u = x2 siny and v= 2y cosx, determine expressions for dz/du and dz/dv
Answers
The expressions for dz/du and dz/dv are as follows:
dz/du = 4x siny
dz/dv = -6y cosx
To find the expressions for dz/du and dz/dv, we need to differentiate the given function z = 2x^2 - 3y with respect to u and v, respectively.
1. dz/du:
Since u = x^2 siny, we can express z in terms of u by substituting x^2 siny for u in the original function:
z = 2u - 3y
Now, we differentiate z with respect to u while treating y as a constant:
dz/du = d/dx (2u - 3y)
= 2(d/dx (x^2 siny)) - 0 (since y is constant)
= 2(2x siny)
= 4x siny
Therefore, dz/du = 4x siny.
2. dz/dv:
Similarly, we express z in terms of v by substituting 2y cosx for v in the original function:
z = 2x^2 - 3v
Now, we differentiate z with respect to v while treating x as a constant:
dz/dv = d/dy (2x^2 - 3v)
= 0 (since x^2 is constant) - 3(d/dy (2y cosx))
= -6y cosx
Therefore, dz/dv = -6y cosx.
In summary, the expressions for dz/du and dz/dv are dz/du = 4x siny and dz/dv = -6y cosx, respectively.
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What is the fractional equivalent of the repeating decimal n = 0.1515... ? Answer the questions to find out.
1. How many repeating digits does the number represented by n have? (2 points)
ill give 100 points and maybe brainlist
Answers
The fractional equivalent of the repeating decimal n = 0.1515... is 5/33, with two repeating digits.
What is a fractional equivalent?A fractional equivalent is a fraction that shares the same equivalent value with a decimal.
For instance, the equivalent fraction of 0.1515 is 303/2000. But for a repeating decimal like 0.1515..., the equivalent fraction is 5/33.
When numbers or values are said to be equivalent, it means that they are equal.
By their nature, repeating decimals continue endlessly.
Let x = 0.1515... equation 1
100x = 15.1515... equation 2
Subtract equation 1 from equation 2:
100x = 15.1515...
x = 0.1515...
99x = 15
x = 15/99
x = 5/33
Thus, n = 0.1515... as a repeating decimal or 5/33 as a fraction.
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jennifer has three more dimes than nickels and three times as many quarters as nickels. if she has $7.50, how many quarters does she have? www.wyzant
Answers
Jennifer has 48 nickels, which means she has 144 quarters.
Let's call the number of nickels Jennifer has "n".
Since Jennifer has three more dimes than nickels, she has n + 3 dimes.
And since she has three times as many quarters as nickels, she has 3n quarters.
We can start by figuring out the total value of the nickels and dimes in terms of cents:
n * 5 cents + (n + 3) * 10 cents = 750 cents
Expanding the right side of the equation and solving for n:
5n + 10n + 30 cents = 750 cents
15n + 30 cents = 750 cents
15n = 720 cents
n = 48
So Jennifer has 48 nickels, which means she has 3 * 48 = 144 quarters.
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6. Find the value of x. Use the Pythagorean theorem to solve. Round if
necessary.
Answers
Answer:
9
Step-by-step explanation: