f(x)=x³-1bx² +9x+8; f(2)
Answers
Answer:To find f(2), we need to substitute x=2 in the given function f(x):f(2) = (2)³ - b(2)² + 9(2) + 8
= 8 - 4b + 18 + 8 (simplifying)
= 34 - 4bTherefore, the value of f(2) is 34 - 4b. Note that we cannot determine the value of b as it has not been given in the question.
Step-by-step explanation:
Related Questions
The Bayley Scales of Infant Development yield scores on two indices--the Psychomotor Development Index (PDI) and the Mental Development Index (MDI)--which can be use to assess a child's level of functioning in each of these areas at approximately one year of age. Among normal healthy infants, both indices have a mean value of 100. As part of a study assessing the development and neurologic status of children who have undergone reparative heart surgery during the first three months of life, the Bayley Scales were administered to a sample of one-year-old infants with congenital heart disease. The data contained in the data set heart. PDI scores are saved under the variable name pdi while MDI scores are saved under mdi. Use the treatment=1 group
a. At the 0.05 level of significance, test the null hypothesis that the mean PDI score for children born with congenital heart disease who undergo reparative heart surgery during the first three months of life is equal to 100, the mean score for healthy children. Use a two-sided test. What is the p-value? What do you conclude?
b. Conduct the analogous test of hypothesis for the mean MDI score. What do you conclude?
c. Construct 95% confidence intervals for the true mean PDI score and the true mean MDI score for this population of children with congenital heart disease. Does either of these intervals contain 100? Would you have expected that they would?
Answers
Answer:
Step-by-step explanation:
Hello!
The Psychomotor Development Index (PDI) has an average value of μ= 100
The Mental Development Index (MDI) has an average value of μ= 100
At an approximate age of 1 year of normal healthy infants.
Using the group data set heart = 1 for all calculations (see attachment for complete table), you can define two variables of interest and obtain the descriptive statistics:
X₁: PDI of an infant with congenital heart disease who had to undergo reparative heart surgery during the first three months of life.
n₁= 69
X[bar]₁= 97.61
S₁= 14.73
X₂: MDI of an infant with congenital heart disease who had to undergo reparative heart surgery during the first three months of life.
n₂= 69
X[bar]₂= 106.33
S₂= 14.67
a)
You have to test the hypothesis that the average PDI for kids with congenital heart disease who have to undergo reparative heart surgery during the first three months of life is equal to 100.
H₀: μ₁ = 100
H₁: μ₁ ≠ 100
α: 0.05
\(Z= \frac{X[bar]_1-Mu_1}{\frac{S_1}{\sqrt{n_1} } }\)≈N(0;1)
\(Z_{H_0}= \frac{97.61-100}{\frac{14.73}{\sqrt{69} } } = -1.347\)
p-value: 0.17798
Using this approach the decision rule is:
If p-value ≤ α, reject the null hypothesis.If p-value > α, do not reject the null hypothesis.The p-value is greater than the level of significance, the decision is to not reject the null hypothesis. Then the average PDI of the kids with congenital heart disease who have to undergo reparative heart surgery during the first three months of life is equal to 100.
b)
H₀: μ₂ = 100
H₁: μ₂ ≠ 100
α: 0.05
\(Z= \frac{X[bar]_2-Mu_2}{\frac{S_2}{\sqrt{n_2} } }\)≈N(0;1)
\(Z_{H_0}= \frac{106.33-100}{\frac{14.67}{\sqrt{69} } } = 3.584\)
p-value: 0.000338
Using this approach the decision rule is:
If p-value ≤ α, reject the null hypothesis.If p-value > α, do not reject the null hypothesis.The p-value is less than the level of significance, the decision is to reject the null hypothesis. Then the average MDI of the kids with congenital heart disease who have to undergo reparative heart surgery during the first three months of life is different from 100.
c)
\(Z_{1-\alpha /2}= Z_{0.975}= 1.96\)
95% CI for PDI
X[bar]₁ ± \(Z_{1-\alpha /2}\) * \(\frac{S_1}{\sqrt{n_1} }\)
97.61 ± 1.96 * \(\frac{14.73}{\sqrt{69} }\)
[94.134; 101.086]
95% CI for MDI
X[bar]₂ ± \(Z_{1-\alpha /2}\) * \(\frac{S_2}{\sqrt{n_2} }\)
106.33 ± 1.96 * \(\frac{14.67}{\sqrt{69} }\)
[102.869; 109.791]
The CI for the mean PDI of the kids with congenital heart disease who have to undergo reparative heart surgery during the first three months of life contains 100, this is to be expected since the null hypothesis in the hypothesis test made at complementary confidence level, was not rejected.
I hope this helps!
PLEASE HELPP!
What is the slope of y = -4
Answers
Answer:
The slope is 0
Step-by-step explanation:
y = mx + b
y = 0x - 4
You can also graph it
Since the graph would be straight, the slope is 0
Which expressions are equivalent to 4m + 12? Choose ALL that apply.
Answers
Answer:
Your answers are 6m-2m+12 and 4(m+3).
Step-by-step explanation:
This is because for 6m-2m+12, you are dealing with like terms. You are subtracting 6m-2m.
4(m+3) on the other hand, you are using the distributive property. You would carry the 4 to the m and to the 3.
Once you've done that with both of those expressions, they will both equal 4m+12.
Expression is a set of numbers, variables, and mathematical operations formed. The expression 4m+12 can be written as 4(m+3).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
In the given expression 4m + 12, there are 2 terms and both of these terms have 4 as the common factor, therefore, we can write the expression as,
\(4m +12\\\\= 4m+(4 \times 3)\\\\ = 4(m + 3)\)
Hence, the expression 4m+12 can be written as 4(m+3).
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Which is more, 9 pints or 16 cups?
Answers
Answer:
9 pints
Step-by-step explanation:
there are two cups in a pint, so we need to divide 16 by 2 to convert the cups to pints.
16 ÷ 2 = 8
9 is greater than 8, so 9 pints.
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.
Please help I will give brainliest and 45 points
Answers
Answer:
129.13
Step-by-step explanation:
Triangle:
8 × 13 = 104
Semi-circle:
3.14(4²) ÷ 2 = 25.1327
25.13 + 104 = 129.13
good luck, i hope this helps :)
Answer:
The area should be 104.
Step-by-step explanation:
Just multiply top by bottom.
what does the word "baking" means and of which language,this word belongs to?
Answers
Answer:to cook something to a certain degree and it belongs to English which derives from the old english version “bacan”
Step-by-step explanation:
the phone company charges $33 for having a smartphone plus $9.95 a month for 2gb. IF mark has only $146.43 to spend on a phone, how many months can he have the phone? inequalities
Answers
The number of months Mark can have the phone is given by the equation
A = 11.4 months
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of months be represented as = A
Now , the equation is
Now , the total amount with Mark = $ 146.43
The initial amount for the smartphone = $ 33
The amount per month for 2GB is = $ 9.95
So , the amount for A months = $ 9.95 ( A )
So , the equation will be
Initial amount for the smartphone + the amount for A months = total amount with Mark
Substituting the values in the equation , we get
33 + 9.95 ( A ) = 146.43 be equation (1)
On simplifying the equation , we get
Subtracting 33 on both sides of the equation , we get
9.95 ( A ) = 113.43
Divide by 9.95 on both sides of the equation , we get
A = 11.4 months
Therefore , the value of A is 11.4 months
Hence , the number of months is 11.4 months
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unit 7 right triangles & trigonometry homework 5: trigonometry : finding sides and angles
Answers
Answer:
1. 7.3
2. 33.3
3. 21.3
4. 31.9
5. 25.6
6. 11.0
7. 42°
8. 64°
9. 13°
10. 51°
Step-by-step explanation:
make sure if you're using a math calculator that it is in degree mode.
SIN, COS, OR TAN. SOH CAH TOA. Sin is Opposite/hypotenus.
Cos is Adjacent(next to it)/hypotenus.
Tan is Opposite/Adjacent.
~~
PROBLEM 1:
So we have 63°, 16 as hypotenus, and x as one of the legs.
1. Figure out whether it is Sin, Cos, or Tan. (It's adj and hyp. of the angle degree (63° listed so it's cos.)
2. Once you set it up, it is Cos 63°= x/16 then flip it around. which makes it 16 COS 63= X.
3. Input it into your calculator as 16cos(63, then it will give you.. 7.263847996
4. Don't forget to round to the nearest tenth, which gives you
x = 7.3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 2:
Given: 39°, 27 is opposite of the °, and adj is x. So this is Tan.
1. Set it up, Tan 39° = 27/x can't solve this way so fix it.
2. rewritten as X = 27/tan39
3. round ur answer.
x = 33.3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 3:
Given: 49°, adj is 14, hyp is x. So this is Cos.
1. Set up according to CAH, Cos 49=(14/x).
We can't solve it this way since the X is on the bottom. So we have to fix it!
2. Turns into X Cos 49 = 14, which then turns into X= 14/cos49.
3. Put it in your calculator as 14 DIVIDED BY cos 49. ( Put image example)
4. Round.
x= 21.3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 4:
Given: 15°, 33 hyp, adj x. Which is Cos.
1. Cos 15= x/33 and rewrite.
2. Input as 33 cos(15 into calculator = 31.875...
3. Round to tenth.
x = 31.9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 5:
Given: 52°, 20 adj of °, and x opp of °. Will use TAN.
1. Tan 52° = x/20
2. 20 Tan(52 into calculator
3. Round
x = 25.6
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 6:
Given: 27°, opp of ° is 5, hyp is x. Will use Sin.
1. Write out as I have the last few times, Sin 27 = 5/x rewrite cause x can't be at the bottom.
2. Input into calculator as: 5/sin 27 which equals 11.01...
3. Round.
x = 11.0
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 7:
Given: x°, 6 as hyp, 4 opp. now we have to solve this different since we don't know the degree. Now when we input into the calculator you will press 2nd, then sin/cos/tan so it will be negative this is depending on which one ur solving for.
We will be using SIN, x is still a °.
1. Sin X = 4/6 Rewrite.
2. X= Sin^-1 (4/6)
Make sure ur sin is negative in calculator when doing this.
3. It SHOULD give you 41.81, round.
x = 42°
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 8:
Given: x°, 29 opp, 14 adj. TAN.
1. Tan x°= 29/14 or..
2. X = Tan^-1(29/14) solve..
3. gives u 64.23.... round.
x = 64°
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 9:
Given: x°, hyp 54, opp 12. SIN
1. Sin x°=(12/54)
2. X= Sin^-1(12/54) solve. (dont put x= into calculator.)
3. Don't Forget to round, answer unrounded: 12.839..
x = 13°
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 10:
Given: x°, adj 25, hyp 40. COS
1. Cos x°=25/40 rewrite.
2. X= Cos^-1(25/40) Solve.
3. Round.
X= 51°
For the function, f(x)=1/4x-2, find x if f(x)=-1
Answers
f(x) = 1/4x-3
When f(x) = -1,
= 1/4(-1)-3
= -13/4
Answer
-2.25
Step-by-step explanation:
(1/-4) -2= (1/-4)- 2^4= -9/4= -2.25
Find the area of each parallelogram below. Show all of your work.
Answers
Answer:
i
Step-by-step explanation:
Generalize Algebra Find the unknown number.
15. 12, 24, 36, ____
Answers
Answer:
48
Step-by-step explanation:
Count by 6
Help APSPP!!!!!!!!!!
Answers
Answer:
c is the answer young flyyy
Step-by-step explanation:
Answer:
hhaaaaaaaaaaaahhhhhhhhaaaaaaaaaaaaaaas
Step-by-step explanation:
Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) = 7x ^ 2 + 2x + 3 at x = 1
Answers
Answer:
16
Step-by-step explanation:
Step 1: Write down the function \(f(x)=7x^2+2x+3.\)
Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)
Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)
Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)
Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)
Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)
Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)
Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)
Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)
The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)
4 1/5 divided by 6 3/4 = ?
Answers
Answer: 28/45
Step-by-step explanation:
need a little help!!!
Val measures the diameter of a ball as 14 inches. How many cubic inches of air does this ball hold, to the
nearest tenth? Use 3.14 for *.
The ball holds about
cubic inches of air.
Answers
Use the graph to answer the question.
5
4
3
2
1
0
--1-
A'
A
1
Oy-axis
Ox-axis
Ox=2
2
Oy=2
B
3
В'
4
5
D
6 7. 8
Determine the line of reflection used to create the image.
D
C
C'
Answers
Answer:
x-axis
Step-by-step explanation:
I'm 99.9% it's right
I'm really sorry if not!
hope this helps!
have a good day/night!
-6 10/9 divided by 6/5
Answers
Answer:
-160/27
Step-by-step explanation:
I hope this helps if I’m wrong I apologize
If there were 18 boys at a leadership camp, how many girls were at that leadership camp
Answers
Answer:
0
Step-by-step explanation:
Gas prices at a gas station rose from $2.50/gallon to $3.25/gallon. What is the percent of increase in the gas prices?
Answers
Answer:
30%
Step-by-step explanation:
3.25 minus 2.50 equals 0.75. 0.75 is 30 percent of 2.50.
Given the point with Cartesian coordinates, (3√3,−3), find the polar coordinates of the point.
Answers
Answer: (6,11π/6).
Step-by-step explanation:We need to find the radius r and the angle θ. Remember that r2=x2+y2, so
because of the signs of x and y, our angle is in quadrant IV. Therefore, we find that θ=11π/6.
So the final answer is (6,11π6).
Choose the best selection for the
quadrilateral with vertices at the
following points:
(-3,0), (-3,-3), (0,-3), (0,0)
Hint: Start by graphing the points.
Distance Formula: d = √(x2-x₁)² + (Y2 − ₁)²
A. Trapezoid
C. Rectangle
B. Rhombus
D. Square
Answers
Answer:
D. Square
Step-by-step explanation:
You want the best name for the quadrilateral with vertices (-3, 0), (-3, -3), (0, -3), and (0, 0).
GraphA graph of the points is shown in the attachment. We notice the vertices are aligned with the grid, so the corner angles are all right angles.
The differences of x-coordinates and y-coordinates are both 3, so the side lengths of this rectangle are all 3 units.
The figure is all of a rectangle, rhombus, and square.
The most specific name for the figure is Square.
__
Additional comment
A trapezoid has one pair of parallel sides. This figure has two pairs of parallel sides, so is not a trapezoid.
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Helen gathered 37 mushrooms in 3 hours. how many mushrooms did she gather if she gathered 7 more mushrooms in the second hour than the first hour and 6 more in the third hour than in the first hour?
pls help!
Answers
Step-by-step explanation:
How many mushrooms did she gather every hour, if she gathered 7 more mushrooms in the second hour than in the first hour, and 6 more in the third hour than in the first hour? = 8.
Match each function on the left to all points on the right that would be located on the graph of the function. Help!! thanks
Answers
Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;
f(x) = 2x + 2 ⇒ (0, 2).
f(x) = 2x² - 2 ⇒ (-1, 0).
\(f(x) = 2\sqrt{x+1}\) ⇒ (0, 2).
What is a function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;
For the ordered pair (0, 2), we have:
f(x) = 2x + 2
2 = 2(0) + 2
2 = 2 (True).
For the ordered pair (-1, 0), we have:
f(x) = 2x² - 2
0 = 2(-1)² - 2
0 = 2 - 2
0 = 0 (True).
For the ordered pair (0, 2), we have:
\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)
2 = 2 (True).
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9. Jenny is selling t-shirts to raise money for the cheerleading team. She sells long sleeve t-shirts
for $18 and short sleeve t-shirts for $12. At the first football game Jenny sells 54 t-shirts and
makes $774. Write and solve a system of equations to find out how many of each she sold.
(let x=the number of long sleeve t-shirts and y=the number of short sleeve t-shirts)
Answers
Answer:
54 short sleeve
7 long sleeve
Step-by-step explanation:
54*12=648
774-648= 126
126/18=7
The value of y varies directly with x. If x = 6, then y = 72 . What is the value of x when y = 108 ?
Answers
Answer:
Hi there!
Your answer is:
x= 9 when y= 108
Step-by-step explanation:
x= 6 when y=72
/72
x = 1/12 when y =1
So:
x= _ when y = 108
x= 1/12 when y =1
×108
x= 9 when y= 108
Hope this helps!
Solve 5(2x – 3) = x – 15 + 9x for x.
Answers
Answer:
Given
5(2x – 3) = x – 15 + 9xSolving for x
5(2x – 3) = x – 15 + 9x10x - 15 = 10x - 15Both sides are equal, any value of x is a solution, so infinitely many solutions
Step-by-step explanation:
\(5(2x - 3) = x - 15 + 9x \\ 10x - 15 = 10 x - 15\)
Both the sides are equal
Hence no specific value of x
Therefore, x has infinite value.
PLEASE HELP ANSWER!
There are 108 major sources of pollen in state A. These pollen sources are categorized as grasses, weeds, and treesIf the number of weeds is 7 less than thrice the number of grasses, and the number of trees is 3 more than thrice the number of grasses, find the number of grasses, weeds, and trees that are major pollen sources.
Answers
The number of grasses is 17, the number of weeds is 3 × 17 - 7 = 42, and the number of trees is 3 × 17 + 3 = 56.
What are pollens?Pollen is a fine powdery substance consisting of microscopic grains that are produced by the male reproductive organs of seed plants.
Let's call the number of grasses "G".
The number of weeds is 3G - 7.
The number of trees is 3G + 3.
The total number of sources is G + (3G - 7) + (3G + 3) = 108.
Combining like terms, we get 7G = 118.
Dividing both sides by 7, we find G = 17.
Therefore, the number of grasses is 17, the number of weeds is 3 * 17 - 7 = 42, and the number of trees is 3 × 17 + 3 = 56.
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NO LINKS!!! URGENT HELP PLEASE!!!!
Manny bought a brand new car in 2012 for $28,750. If the car depreciaites by 12% each year, write an exponential function to model the situation, then find how many years until the car is only worth $10,000
Answers
It will take approximately 8.53 years for the car to be worth $10,000, assuming a constant annual depreciation rate of 12%.
To model the depreciation of Manny's car, we can use the method for exponential decay:
\(y = a(1 - r)^t\)
Wherein:
y = the cost of the car at time ta = the initial value of the car (in 2012)r = the annual depreciation price (as a decimal)t = the time in yearsIn this situation, we've:
a = $28,750r = 12% = 0.12 (as a decimal)y = $10,000Substituting those values into the method, we get:
\($10,000 = $28,750(1 - 0.12)^t\)
Dividing each aspects by $28,750, we get:
\(0.3478 = (0.88)^t\)
Taking the logarithm of both facets (base 10), we get:
\(log(0.3478) = t*log(0.88)\)
Solving for t, we get:
\(t = log(0.3478)/log(0.88)\)
= 8.53 (rounded to two decimal locations)
Consequently, it'll take approximately 8.53 years for the car to be worth $10,000.
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Answer:
8.26 years
Step-by-step explanation:
To model the depreciation of the car over time, we can use an exponential decay function in the form:
\(\large{\boxed{V(t) = V_0(1 - r)^t}\)
where:
V₀ is the initial value of the car.r is the depreciation rate per year (as a decimal).t is the time elapsed (in years)V(t) is the value of the car after t years.Given values:
V₀ = $28,750r = 12% = 0.12V(t) = $10,000Substitute these values into the formula and solve for t:
\(V(t) = V_0(1 - r)^t\)
\(10000=28750(1-0.12)^t\)
\(10000=28750(0.88)^t\)
\(\dfrac{10000}{28750}=(0.88)^t\)
\(\dfrac{8}{23}=(0.88)^t\)
\(\ln \left(\dfrac{8}{23}\right)=\ln (0.88)^t\)
\(\ln \left(\dfrac{8}{23}\right)=t\ln (0.88)\)
\(t=\dfrac{\ln \left(\dfrac{8}{23}\right)}{\ln (0.88)}\)
\(t=8.2611657...\)
Therefore, the car will be worth $10,000 after approximately 8.26 years, or about 8 years and 3 months.
Note: After 8 years, the car will be worth $10,339.49. After 9 years, the car will be worth $9,098.75. So the value of the car will reach $10,000 during the 9th year. Therefore, rounding up to 9 years may be more appropriate if the answer should be in whole years.
In triangle ABC, B = 40, a = 7, c = 10. Find the measure of angle C.
Answers
We can use the Law of Cosines to solve for angle C:
cos C = (a^2 + b^2 - c^2) / (2ab)
where b is the length of side BC.
We know that B = 40 degrees, so we can find the measure of angle A:
A = 180 - B - C
A = 180 - 40 - C
A = 140 - C
We also know that the sum of the angles in a triangle is 180 degrees, so:
A + B + C = 180
140 - C + 40 + C = 180
180 = 180
This checks out, so we can continue with solving for angle C:
cos C = (a^2 + b^2 - c^2) / (2ab)
cos C = (7^2 + b^2 - 10^2) / (2*7b)
cos C = (49 + b^2 - 100) / (14b)
cos C = (b^2 - 51) / (14b)
We can use the Law of Sines to solve for b:
sin B / b = sin A / a
sin 40 / b = sin (140 - C) / 7
b = sin 40 * 7 / sin (140 - C)
Now we can substitute this value of b into the equation for cos C:
cos C = (b^2 - 51) / (14b)
cos C = [(sin 40 * 7 / sin (140 - C))^2 - 51] / (14 * sin 40 * 7 / sin (140 - C))
Simplifying this equation and solving for cos C, we get:
cos C = 11/14
Therefore, angle C is:
C = cos^-1(11/14)
C ≈ 38.8 degrees
10. In the diagram shown, AC is congruent to DC and ZA and ZD are both right angles. SS | RS 1. GIVEA ACANC ELL X-3 en 1. AC DC LA CALD are rt L's 2 LBCB Reflex Hue propert 344DBC LAB ALE HL Fungh D Prov
Answers
Answer:
4Step-by-step explanation: