Answer:
x=20
Step-by-step explanation:
\(\sf{\longrightarrow x = 20}\)
\(\begin{gathered}\rm{ \underline{ \underline{ \red{Given}}}}\begin{cases}\sf{m||n} & \\ \\\sf{a\:transvey\:l\:passes\: through\:m\:and\:n}& \\ \\ \sf{two \:angles = (7x-3)°\:and\:(6x+17)°}&\end{cases}\\\\\end{gathered} \)
⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀
➠ Using the property of adjacent angles and vertically opposite angles , we have :
\(\sf{\longrightarrow (7x-3)=(6x+17)}\)
\(\sf{\longrightarrow 7x-3-6x-17=0}\)
\(\sf{\longrightarrow 7x-6x-3-17=0}\)
\(\sf{\longrightarrow x-20=0}\)
\(\sf{\longrightarrow x=20}\)
⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀
Select the correct answer from each drop-down menu.
Consider right triangle ABC.
A triangle ABC has right angle at B is shown. Base AB has length labeled 40 units. Height BC has length labeled 9 units, and hypotenuse AC has length 41 units.
The sine and cosine ratios of the triangle are;
Sin A = 9/41
Cos A = 40/41
What are the sine and the cosine ratios?The sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. It is denoted by the symbol sin and can be calculated as:
sin(theta) = opposite / hypotenuse
The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. It is denoted by the symbol cos and can be calculated as:
cos(theta) = adjacent / hypotenuse
Sin A = 9/41
Cos A = 40/41
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Answer:
I got it right. Plato
Step-by-step explanation:
HELP PLS ILL GIVE U BRAINLEST OF U ANSWER THE QUESTION IN THE PIC CORRECT PLS ASAP PLS DONT GUESS PLS HELP
Answer: A
Step-by-step explanation:
Answer:
yeah is A
Step-by-step explanation:
What number can be added to -2 to get a sum of 0? A-2 B0 C 2
Answer:
C) 0
Step-by-step explanation:
-2+2=0
Please answer! Will give the brainliest!
Answer: K. 3
Step-by-step explanation:
There are 30 students in total. What I did is I added everything that was in the Venn diagram and subtracted that from 30.
\(12+5+10=27\)
\(30-27=3\)
Therefore, there are 3 students who didn't like either English or math.
I hope this helps! Pls give brainliest!! :)
HELP FAST! WILL VOTE BRAINLIEST!
Answer:
v = 5.0Step-by-step explanation:
\(v = \sqrt{ {u}^{2} + 2at} \)
when u = 1.6
a = 5.6
t = 2
Substitute the values into the above formula and solve for v
That's
\(v = \sqrt{ {1.6}^{2} + 2(5.6)(2) } \\ = \sqrt{2.56 +2(11.2) } \\ = \sqrt{2.56 + 22.4} \: \: \: \: \: \: \\ = \sqrt{24.96} \\ = 4.99599\)
We have the final answer as
v = 5.0 to one decimal placeHope this helps you
Desmond is 5 inches taller than Niki.
If we let
represent Niki's height in inches, write an algebraic expression for Desmond's height.
The algebraic expression for Desmond's height is x + 5.
write an algebraic expression for Desmond's height.If we let "x" represent Niki's height in inches, then Desmond's height can be represented by "x + 5", since Desmond is 5 inches taller than Niki.
So the algebraic expression for Desmond's height is x + 5.
What are algebraic expression?Algebraic expressions is consist of variables, numbers, and mathematical operations (such as addition, subtraction, multiplication, and division).
They can contain one or more variables and can be evaluated for different values of the variables.
For example, the expression 3x + 5y - 2z is an algebraic expression that contains three variables (x, y, and z) and three coefficients (3, 5, and -2) that are multiplied by those variables. Algebraic expressions are commonly used in algebra to represent mathematical relationships and solve problems.
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Given f(x)=2/x^2+3x-10, which of the following is true?
A. f(x) is positive for all x<-5
B. f(x) is negative for all x<-5
C. f(x) is positive for all x<2
D. f(x) is positive for all x>2
The only true statement about the domain of the given function is:
B. f(x) is negative for all x < -5
How to solve for the domain of the function?The domain of a function is defined as the set of values that we can possibly plug into our function. This set is the x values in a function such as f(x).
Now, we are given the function as:
f(x) = \(\frac{2}{x^{2} } + 3x - 10\)
When x < -5, we have:
f(-4) = \(\frac{2}{(-4)^{2} } + 3(-4) - 10\)
f(-4) = -21.875
This suggests that for all values below x = -5 will result in negative values
When x > 2
f(3) = \(\frac{2}{3^{2} } + 3(3) - 10\)
f(3) = -0.78
Thus, it will get positive for higher values but it can also be negative as seen here.
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Which is the best method to use in the following situation?
y=3x+2
y=-2x-4
A. Substitution
B. Transforming
C. Elimination
D. Graphing
Answer:
A Substitution
Step-by-step explanation:
Trust me were doing this in math
Equations definitions
Answer:
Step-by-step explanation:
MEAN - a). Finds the mean of a numerical data set.
MIN - f). Finds the lowest value of a data set.
COUNT - c). Counts the number of values input for a highlighted data set
MEDIAN - d). Finds the middle value of a numerical data set
MAX - e). Finds the greatest value for a data set
SUM - g). Adds all the numbers in a highlighted range together
MODE - b). Finds the number that occurs most often in a highlighted data set.
A cyclist starts from the point si = (7, 7, 4) at t = 0 and moves with a constant velocity of v → =(4, 5, 5) and cyclist motion can be depicted by the expression, s = si + vt which gives position vector of cyclist. Determine the distance travelled by the cyclist between t = 4 s and t = 23 s. (Distance is in meters)
A. 154.36 m
B. 157.36 m
C. 152.36 m
D. 155.36 m
Answer:
A. 154.36 m
Step-by-step explanation:
I got it "Correct"
Answer:
A. 154.36 m
Step-by-step explanation:
Have a great day
Given the following statement, what conclusion can be drawn using law of detachment?
If two angles are vertical, then they are congruent. Angles ABC and DBE are vertical.
Answer: Angles ABC and DBE are congruent
Which expression is equal to the one in the box?
(4- (-3))5 x
A. 15x
B. 4.(-3)5x
C. 45x .(-3)5x
D. 5x 4 (-3)
The correct answer is option B which is -4.(-3)5x.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
The expression will be solved as:-
E = ( 4 - ( -3 )) 5x
E = 4 (+3) ( 5x)
E = 12(5x)
E = 60x
Now we will check option B
E1 = -4(-3)5x
E1 = 12 (5x)
E1 = 60x
E = E1
Therefore the correct answer is option B which is -4.(-3)5x.
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During science class, groups measure out different volumes of vinegar. The line plot below shows the amount of vinegar used by 12 1212 groups, rounded to the nearest 1 2 mL 2 1 mLstart fraction, 1, divided by, 2, end fraction, start text, space, m, L, end text. 4 4 4 1 2 4 2 1 5 5 5 1 2 5 2 1 6 6 6 1 2 6 2 1 7 7 7 1 2 7 2 1 8 8 A line plot labeled 4 to 8 with tick marks every one-half unit labeled with a tick mark and number. Above tick mark four and one-half there is a column of two dots. Above tick mark 5 there is a column of three dots. Above tick mark six and one-half there is a column of two dots. Above tick mark 7, there is a column of two dots. Above tick mark seven and one-half, there is a column of three dots. What is the total amount of vinegar, in milliliters, used by the 3 33 groups that used the most? mL mL
Answer:
22 1/2
Step-by-step explanation:
For the layer you selected, the temperature ranges from the temperature at Earth's surface, _______, to _______. (1 point)
25°C to 45°C
Step-by-step explanation:
The company has 15 employees, who earn a total of $2,500 in salaries each working day. They are paid each Monday for their work in the five-day workweek ending on the previous Friday. Assume that December 31, 2019, is a Tuesday, and all 15 employees worked the first two days of that week. Because New Year’s Day is a paid holiday, they will be paid salaries for five full days on Monday, January 6, 2020.
Answer: Debit salaries expense 3920
Credit salaries payable 3920
Step-by-step explanation:
Note that the total amount that the company will pay to the employees on Monday, January 6, 2020, is approximately $1,166.69.
How to compute the aboveBased on the given information, we can calculate the total amount that the company will pay to the employees on Monday, January 6, 2020.
The company has 15 employees, and they earn a total of $2,500 in salaries each working day. Therefore, the daily salary per employee is $2,500 divided by 15, which is approximately $166.67.
From December 31, 2019, to January 6, 2020, there are a total of 7 days, including New Year's Day, which is a paid holiday.
The employees worked the first two days of that week (December 31 and January 1), which means they will be paid for those two days.
On January 6, 2020, the employees will be paid salaries for five full days, which includes the remaining three days of the previous week and the upcoming week.
To calculate the total amount paid on January 6, 2020, we add the salary for the two worked days and the salary for the five full days:
Total amount paid = (Salary per day * 2) + (Salary per day * 5)
= ($166.67 * 2) + ($166.67 * 5)
≈ $333.34 + $833.35
≈ $1,166.69
Hence, the total amount that the company will pay to the employees on Monday, January 6, 2020, is approximately $1,166.69.
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Marianna finds an annuity that pays 8% annual interest, compounded quarterly. She invests in this annuity and contributes $10,000 each quarter for 6 years. How much money will be in her annuity after 6 years? Enter your answer rounded to the nearest hundred dollars.
The amount of money in Marianna's annuity after 6 years will be approximately $300,516.
To calculate the amount of money in Marianna's annuity after 6 years, we can use the formula for compound interest on an annuity:
A = P * ((1 + r/n)^(n*t) - 1) / (r/n)
Where:
A = the final amount in the annuity
P = the regular contribution (each quarter) = $10,000
r = annual interest rate = 8% = 0.08
n = number of compounding periods per year = 4 (since it's compounded quarterly)
t = number of years = 6
Plugging in the values:
A = 10000 * ((1 + 0.08/4)^(4*6) - 1) / (0.08/4)
Calculating this expression:
A ≈ 10000 * ((1.02)^24 - 1) / 0.02
A ≈ 10000 * (1.601032449136241 - 1) / 0.02
A ≈ 10000 * 0.601032449136241 / 0.02
A ≈ 10000 * 30.05162245681205
A ≈ 300,516.22
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Answer:
304200
Step-by-step explanation:
To find the value of P6, use the savings annuity formula
PN=d((1+r/k)N k−1)r/k.
From the question, we know that r=0.08, d=$10,000, k=4 compounding periods per year, and N=6 years. Substitute these values into the formula gives
P6=$10,000 ((1+0.08/4)6⋅4−1)/(0.08/4).
Simplifying further gives P6=$10,000 ((1.02)24−1)/(0.02) and thus P6=$304,218.62.
Rounding as requested, our answer is 304200.
Find the area of the triangle having the indicated angle and sides. (Round your answer to one decimal place.)
B 128°, a 86, c = 37
The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.
To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:
Area = (1/2) * a * b * sin(C),
where a and b are the lengths of the two sides adjacent to the given angle C.
In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:
c² = a² + b² - 2ab * cos(C),
where C is the angle opposite side c. Rearranging the formula, we have:
b² = a² + c² - 2ac * cos(C),
b² = 86² + 37² - 2 * 86 * 37 * cos(128°).
By substituting the given values and calculating, we find b ≈ 63.8.
Now, we can calculate the area using the formula:
Area = (1/2) * a * b * sin(C),
Area = (1/2) * 86 * 63.8 * sin(128°).
By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.
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The marked price of an article is Rs. 2200, After allowing a certain percent of disc amount from the with 13% Value Added Tax (VAT) levied, the article is sold at Rs. 2063.38. Find discount percent
To sell the article at a price of Rs. 2063.38 after applying 13% VAT, a discount of approximately 6.21% is given on the marked price of Rs. 2200.
Let's break down the given information to solve for the discount percent:
1. The marked price of the article is Rs. 2200.
2. After allowing a certain percent of discount, the article is sold at Rs. 2063.38, including 13% VAT.
Let's assume the discount percent as 'x'. We can calculate the discounted price using the formula:
Discounted Price = Marked Price - (Discount Percent/100) * Marked Price
Substituting the given values, we have:
2063.38 = 2200 - (x/100) * 2200
Now, let's solve the equation to find the value of 'x':
2063.38 = 2200 - 22x
Rearranging the equation, we have:
22x = 2200 - 2063.38
22x = 136.62
x = 136.62 / 22
x ≈ 6.21
Therefore, the discount percent is approximately 6.21%.
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proportional relationships, math
The answer is yes, the equation represents a proportional relationship.
The reason is that a proportional relationship is best described as that in which the value of one variable depends on what happens to the other variable. Just like having one more child every year would mean spending more money on education, etc.
In a proportiona; relationship as shown in this question, y is the total cost of a pizza and each x (each topping) would determine how much is y. So requesting for 5 more toppings would result in 1.5 multiplied by 5, and requesting 10 more would result in 1.5 multiplied by 10. So as the amount of toppings (x variable) increases, the total cost (y variable) likewise would increase.
As x increases or decreases, the value of y would likewise increase or decrease. That makes this equation a proportional relationship
Julio is paid 1.1 times his normal hourly rate for each hour he works over 30 hours in a week. Last week he worked 45 hours and eamed $520.80. Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation how you know that your answer is reasonable. The earnings equation is $520.80 = Julio's hourly rate is $ per hour. This is reasonable because working 45 hours at a rate of $11 per hour is 45 - 11 = 45(10+1)=450 + 45 = |, and $ is dose to $520.80.
PLEASE ANSWER ASAP!!
Julio's hourly rate is going to be $14.4 per hour
What is the answer to 156 x 13
Answer:
2028
Step-by-step explanation:
156 x 13 = 2028
what are other ways i can get 626
Answer:
there is no question
Step-by-step explanation:
Circle 1 has center (−6, 2) and a radius of 8 cm. Circle 2 has center (−1, −4) and a radius 6 cm.
What transformations can be applied to Circle 1 to prove that the circles are similar?
Enter the scale factor as a fraction in simplest form.
The circles are similar because the transformation rule (_ , _) can be applied to Circle 1 and then dilate it using a scale factor of (_/_)
Answer
its scale factor is 4/3 and 0.75
Step-by-step explanation:
The radius of a circle is 3 centimeters. What is the length of a 45 arc
Answer:
2.36 miles
Step-by-step explanation:
radius, r = 3 miles
∅ = 45°
Length of an arc = ∅/360 * 2πr
= 45/360 * 2 * 3.14 * 3
= 2.36 miles
Hope this answer helps you :)
Have a great day
Mark brainliest
PLS HELP!! Write an equation for the function graphed above
y=
The trigonometric function equation obtained for the graph is y = 4 sec (πx) - 2.
What is trigonometric function?
Simply put, trigonometric functions also referred to as circular functions are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle.
The upper waver have a value of y = 2 and the lower waves have a value of y = -6.
Add the points and divide by 2 -
[2 + (-6)] / 2
(2 - 6) / 2
-4 / 2
-2
Therefore, the midline is y = -2.
The vertical asymptotes are drawn and they intersect the midline at certain points.
Then the sinusoidal function is drawn using the intersection point.
There is one period of sinusoidal function that is starting from x = 0 and goes upto x = 2.
This pattern tells that the function is of cosine.
Then the graph will be of trigonometric function secant .
The value of C = -2 , A = 4, D = 0
Here C is the midline value, A is the points above and below the midline, D is the horizontal shift and 2π/B is the period.
Now, 2π/B = 2
2B = 2π
B = π
Now, use the formula -
y = A cos (B(x - D)) + C
y = 4 cos (π(x - 0)) - 2
y = 4 cos (πx) - 2
y = 4 sec (πx) - 2
Now plot the graph for the obtained function.
The graph is same as given in the question.
Therefore, the function is y = 4 sec (πx) - 2.
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The area of a triangle can be found using the formula: Area 1/2 . base. height. Find the area of the triangle pictured below, where the measurements are given in meters (m) 8 m 13 m m2
Answer:
The area of the given triangle is 52 sq meters
Explanation:
Given that the area of a triangle can be found using the formula:
Area = 1/2 base . height.
The base of the give triangle is 13m, the height is 8m.
Using these,
Area = 1/2 * 13 * 8
= 52 square meters
Bob is flying his kite. He lets out 63 m of string and the wind takes his kite up to a point where the angle of elevation of the kite is 58 find the altitude of the kite to the nearest meter
The altitude of the kite is 53 meters.
Now, First, we need to identify the right triangle formed by Bob, the kite, and the ground.
Here, The angle of elevation of the kite is, 58 degrees
Which is opposite to the altitude of the kite that we need to find.
And, The length of the string is, 63 m
Which is the hypotenuse of the right triangle.
Hence, By Using trigonometry, we can use the sine function to solve for the altitude of the kite:
sin(58) = altitude / 63
Solving for the altitude, we get:
altitude = 63 x sin(58)
Altitude = 53 meters
Thus, the altitude of the kite is 53 meters.
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Help asappp I will PayPal you hahahahha
Answer:
The answer would be C
Step-by-step explanation:
q equals cube root of 64
because if you want to get rid of cube. you take cube root on both side
(q^3)^1/3= (64)^(1/3)
q=64^(1/3)
Due to gravity, an object falls 16t^2 feet in t seconds. You drop a rock from a bridge that is 75 feet above the water. Will the rock hit the water in 2 seconds?
Explain
If due to gravity, an object falls 16t^2 feet in t seconds. You drop a rock from a bridge that is 75 feet above the water. The rock will hit the water in 2 seconds?
How to find seconds the rock will hit the rock?Given data:
Object falls = 16t² feet in t seconds
Rock from a bridge = 75 feet above the water
So,
72 =16t²
t² = 72/16
t²= 4.5
t = √4.5
t = 2.12 seconds to hit the water
Therefore we can conclude that the rock will hit the water in 2 seconds.
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I need help please.