Find the value of cos C rounded to the nearest hundredth, if necessary

Find The Value Of Cos C Rounded To The Nearest Hundredth, If Necessary

Answers

Answer 1

[tex]\bold{\frac{5}{13} or 0.38}[/tex]

Answer:

Solution given:

here

by using Pythagoras law

hypotenuse =

[tex]\displaystyle\sqrt{adjacent ²+opposite ²}\\=\sqrt{15²+36²}=39[/tex]

Cos C=[tex]\frac{adjacent} {hypotenuse}=\frac{15}{39}=\frac{5}{13} or{0.38}[/tex]


Related Questions

in an isosceles triangle two sides are equal. the third side is 2 less than twice the length of the sum of the two sides. the perimeter is 40. what are the lengths of the 3 sides

Answers

Answer:

s for length of either equal side

b for the unequal side

b=-2+2*(s+s) and 2s+b=40

b=2*2s-2

b=4s-2

2s+4s-2=40

6s-2=40

6s=42

s=7

b=4*7-2

b=28-2

b=26

Determina el centro,radio y gráfica de la circunferencia:(x+2)2 + (y-3)2=121

Answers

Answer:

La ecuación genérica para un círculo centrado en el punto (a, b), de radio R, es:

(x - a)^2 + (x - b)^2 = R^2

Entonces si miramos a nuestra ecuación:

(x + 2)^2 + (y - 3)^2 = 121

Tendremos el centro en:

(-2, 3)

el radio está dado por:

R^2 = 121

R = √121 = 11

La gráfica de esta circunferencia se puede ver en la imagen de abajo.

A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let ^ p denote the proportion in the sample who say they support the increase. Suppose that 47% of all adults in Ohio support the increase. The standard deviation of the sampling distribution is

Answers

Answer:

The correct response is "0.0129".

Step-by-step explanation:

Given:

[tex]n=1500[/tex]

[tex]p=0.47[/tex]

[tex]np=1500\times 0.47[/tex]

    [tex]=705[/tex]

[tex]nq=1500\times (1-0.47)[/tex]

    [tex]=795[/tex]

Mean of sampling distribution will be:

[tex]\mu_\hat{p}[/tex] = [tex]0.47[/tex]

hence,

The standard deviation will be:

⇒  [tex]\sigma_\hat{p}[/tex] = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

By putting the values, we get

         = [tex]\sqrt{\frac{0.47(1-0.47)}{1500} }[/tex]

         = [tex]0.012886686[/tex]

         = [tex]0.0129[/tex]

Find the slope of the line that passes through (6, 4) and (4, 1).

Answers

Answer:

[tex]1.5[/tex]

Step-by-step explanation:

[tex](6 \: \: \: \: \: 4)(4 \: \: \: \: \: 1) \\ m = \frac{y1 - y2}{x1 - x2} \\ = \frac{4 - 1}{6 - 2} \\ = \frac{3}{2} \\ = 1.5[/tex]

hope this helps you.

Find the measure of the third angle of a triangle if the measures of the other two angles are given.
118.6 and 42.3

Answers

The three inside angles of a triangle equal 180.

Subtract the two known angles from 180.

180 - 118.6 - 42.3 = 19.1

The third angle is 19.1

The third angle is going to be 19.1

the ratio of boys to girls is 4:3 .if there are 24boys ,how many are there?​

Answers

Answer:

[tex]{ \bf{total \: ratio = 4 + 3 = 7}} \\ { \tt{let \: population \: be \: p}} \\ \frac{4}{7} \times p = 24 \\ 4p = 168 \\ p = 42 \\ { \bf{there \: are \: 42 \: people}}[/tex]

Boys to girls- 4:3

Boys and girls- 24 and x (let the girls be x)

4/3=24/x

=4x= 72

= x= 72/4

= x= 18 girls

Ans: There are 42 children (24+18)

check all that apply. if cos0 = 13/5, then: ?

Answers

Answer:

D

Step-by-step explanation:

if cosec is 13/5 then sin is 5/13

Two times the difference of a number and ten is forty two

Write an equation to represent the sentence:

Answers

Answer:

let the number be x

representing the equation...

it will be....

2 times (the number- 10)=42

2 times(x-10)= 42

2(x-10)=42

PLS HELP ASAP¡!!!

A P E X MATH

Answers

Answer:

Step-by-step explanation:

Is there an image to see?

Find the answer to each trigonometric function below. ​

Answers

Answer:

Sin A = [tex]\frac{opposite}{hypotenuse} =\frac{32}{40} =\frac{4(8)}{5(8)} =\frac{4}{5}[/tex]Cos C = [tex]\frac{adjacent}{hypotenuse} =\frac{16}{34}=\frac{2(8)}{2(17)} =\frac{8}{17}[/tex]Tan A = [tex]\frac{opposite}{adjacent} =\frac{21}{20}[/tex]

The center of the circle is at the point
, and its radius is
units. The equation of this circle in standard form is
.

Answers

Is there a picture that goes with this?

3c(p-6)+4(p-6)= write the correct expression in factored form.

Answers

[tex]\tt\displaystyle\ 3c\underline{(p-6)}+4\underline{(p-6)}=(p-6)(3c+4)[/tex]

find the volume of the cylinder in terms of pi and to the nearest tenth

Answers

Answer:

100π

Step-by-step explanation:

Before we even begin solving for the volume we should note that the question says to find the volume of the cylinder " in terms of pi". this means that if pi is present we do not apply it to our final answer and we just leave our answer as __pi

Having that being cleared let's find the volume

volume of a cylinder = πr²h

where r = radius and h = height

looking at the figure the cylinder has a known radius of 5in and a given height of 4in

so r = 5 and h = 4

that being said we want to plug in these given variables into the volume of a cylinder formula

V = πr²h

r = 5 and h = 4

V = π5²4

5²=25

25(4)=100

V = 100π

once again we must leave our answer in terms of pi so the final answer would be 100π

You sunk my battleship...The hms petticoat and uss junction are being monitored on a tracking screen where each ship is measured in millimeters from the lower left corner. The linear path of the hms petticoat is given by y=2x+50. If x=3t, express y as a function of t minutes

Answers

Answer:

y = f(t) = 6t + 50

Step-by-step explanation:

Given:

y = 2x + 50

Where,

x = 3t

Substitute x = 3t into the equation

y = 2x + 50

y = 2(3t) + 50

Open parenthesis

y = 6t + 50

y = f(t) = 6t + 50

If K is the midpoint of JL, JK = 8x + 11 and KL = 14x – 1, find JL.​

Answers

Answer:

[tex]JL=54[/tex]

Step-by-step explanation:

We are given that K is the midpoint of JL. Using this information, we want to find JL.

By the definition of midpoint, this means that:

[tex]JK=KL[/tex]

Substitute them for their equations:

[tex]8x+11=14x-1[/tex]

Solve for x. Subtract 8x from both sides:

[tex]11=6x-1[/tex]

Add 1 to both sides:

[tex]6x=12[/tex]

And divide both sides by 6. Hence:

[tex]x=2[/tex]

JL is the sum of JK and KL. Hence:

[tex]JK+KL=JL[/tex]

Since JK = KL, substitute either one for the other:

[tex]JK+(JK)=2JK=JL[/tex]

Substitute JK for its equation:

[tex]2(8x+11)=JL[/tex]

Since we know that x = 2:

[tex]2(8(2)+11)=2(16+11)=2(27)=54=JL[/tex]

Thus:

[tex]JL=54[/tex]

What is the equation of the line graphed below?
5
-5
5
(1, -3)
-5
O A. y = 3x
B. y=-3x
c. y=-5
D. y =
-X

Answers

Answer:

C: y=-3x

Step-by-step explanation:

Rise over run: in this case you go down so -3/1=-3

What is the correct expansion of (2x+3) (2x^2-5)

Answers

Answer:

4x^3 + 6x^2 -10x - 15

Step-by-step explanation:

* means multiply

4x^3 + 6x^2 -10x - 15

2x * 2x^2 = 4x^3

2x * -5 = 10x

3 * 2x^2 = 6x^2

3 * -5 = -15

Answer:

4x³ + 6x² - 10x - 15

Step-by-step explanation:

(2x+3) (2x²-5)

4x³ - 10x + 6x² - 15

4x³ + 6x² - 10x - 15

I NEED ANSWER ASAP WILL GIVE BRAINLIEST(WORTH 30 POINTS)

Which function is represented by the graph?

A. f(x) = -2|x|+ 1
B. f(x) = -1/2|x|+1 C. f(x) = -2|x + 1|
D. f(x) =-1/2|x-1|

Answers

Answer: b

Step-by-step explanation:

Which of the following shows 5x + 17 + 8x – 9 + 2y in simplest terms?

Answers

Answer:

5x+8x+17-9+2y

13x+8+2y

Answer:

13x+8+2y

Step-by-step explanation:

5x+8x=13x

17–9=8

2y=2y

Leon needs to save more than $350 to buy a new bike. He has $130 saved so far, and he plans to save $20 each week until he has enough. The inequality below represents x, the number of weeks he must save to have the extra money needed.

Answers

Answer:

11 weeks

Step-by-step explanation:

350=X*20+130

220=X*20

11=x

Plz help me solve this ASAP and show the work thank you

Answers

Answer:

14

Step-by-step explanation:

The diagram is right angle triangle so we can use SOHCAHTOA

So in the diagram we have 62 degree opposite to x and the hypotenuse

Step 1

Sin62=x/16

Step 2

X=16sin62 by cross multiplication

Step 3

X=14.13

X=14

a) On the grid draw lines to show
the region satisfied by the three
inequalities
y = x + 1

Answers

Inequalities are used to represent unequal expressions

How to determine the grid lines

The inequality is given as;

[tex]y \ge x + 1[/tex]

The above inequality means that the upper part of the graph is shaded, and the line of the graph is a closed line

See attachment for the grid that represents the inequality [tex]y \ge x + 1[/tex]

Read more about inequality at:

https://brainly.com/question/25275758

Heather wants to start a business. She has two products to sell, and knows it takes her a
different amount of time to make each. It takes her 1.5 hours to make each frame (f),
and 2.25 hours to make each canvas (c). She is planning to work for 40 hours on these
projects this week. Write the equation that represents this relationship.

Answers

Answer: 1.5f + 2.25c = 40

Step-by-step explanation:

You'd need to multiply the variables of unknown value (how many she'd make in 40 hours) by the time it takes to make one. This would mean multiplying 1.5 by f and 2.25 by c. you'd add this as together they equal the 40 hours she'd be working for the week.

Which of the following are square root of the number below? Check all that apply.

81

Answers

Answer:

A, B, D, E

Step-by-step explanation:

[tex]\sqrt{81}[/tex] = ± 9 → D and E

Since 9 × 9 = 81 and - 9 × - 9 = 81

[tex]81^{\frac{1}{2} }[/tex] = [tex]\sqrt{81}[/tex] = 9 → B

- [tex]81^{\frac{1}{2} }[/tex] = - [tex]\sqrt{81}[/tex] = - 9 → A

If the equation to calculate the time it takes
your account balance to double is 72/6, what
is the interest rate of that investment?

Answers

Answer:

12%

Step-by-step explanation:

well when you get 72/6 and to make it into a easier full number/ (not a fraction) you get 12 then you put the % behind it and now you have 12%

Solve the equation and enter the value of x below. 7(x + 9) + 5 = 96​

Answers

Hello!

[tex]\large\boxed{x = 4}[/tex]

7(x + 9) + 5 = 96

Distribute:

7x + 63 + 5 = 96

Combine like terms:

7x + 68 = 96

Subtract 68 from both sides:

7x = 28

Divide both sides by 7:

x = 4

Answer:

[tex]\fbox{x = 7}[/tex]

Step-by-step explanation:

7(x + 9) + 5 = 96

Solve for x.

7(x + 9 ) + 5 = 96

Step 1 :- Distribute 7.

7 × x + 7 × 9 + 5 = 967x + 63 + 5 = 96

Step 2:- Add 63 and 5.

7x + 68 = 96

Step 3 :- Move constant to the right-hand side and change their sign.

7x = 96 - 68

Step 4 :- Subtract 68 from 96.

7x = 28

Step 5 :- Divide both side by 7.

[tex]\frac{7x}{7} \\ [/tex] = [tex]\frac{ 28} {7}\\[/tex] x = 4

Explain why |−3| + |9| represents the distance between the points (−3Explain why |−3| + |9| represents the distance between the points (−3, −5) and (9, −5)., −5) and (9, −5).

Answers

Answer:

Here we need to use:

[tex]\sqrt{x^2} = |x|[/tex]

The distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Then the distance between:

(-3, -5) and (9, -5) is just:

[tex]D = \sqrt{(-3 - 9)^2 - (-5 - (-5))^2} \\\\D = \sqrt{(-3 - 9)^2} = |-3 - 9|[/tex]

because both numbers inside the absolute value, we can rewrite it as:

|-3 - 9| = |-3| + |-9| = |-3| + |9| = 12

So, by finding the distance between  (−3, −5) and (9, −5), we got the given expression, in this way we prove that the given expression represents the distance between these points.

Answer:

under

Step-by-step explanation:

The points are on a horizontal line, parallel to the x-axis. The absolute value of −3 represents the distance from (−3, −5) to the y-axis, and the absolute value of 9 represents the distance from the y-axis to (9, −5).

Find the measure of the indicated angle measurements

Answers

Answer:

70°

Step-by-step explanation:

(180-40)/2

= 140/2

= 70

Answered by GAUTHMATH

Suppose that the natural rate of unemployment in a particular year is 4 percent and the actual unemployment rate is 13 percent. Instructions: Enter your answers as a whole number. a. Use Okun's law to determine the size of the GDP gap in percentage-point terms. percent b. If potential GDP is $500 billion in that year, how much output is forgone because of cyclical unemployment? $ billion

Answers

Answer:

a. 18 percent

b. $90 billion

Step-by-step explanation:

a. Calculation to use Okun's law to determine the size of the GDP gap in percentage-point terms.

First step is to find the difference between ACTUAL RATE of unemployment and NATURAL RATE of unemployment

Difference=13%-4%

Difference= 9%

Based on the information above calculation we can see that the ACTUAL RATE of unemployment EXCEEDS the NATURAL RATE of unemployment by 9%, which indicates a CYCLICAL UNEMPLOYMENT.

Thus, According to Okun's law, this translates into an 18 % GDP gap in percentage-point terms (= 2 × 9%).

Therefore the the size of the GDP gap in percentage-point terms is 18 percent

b. Calculation to determine how much output is forgone because of cyclical unemployment

Forgone Output :

By applying Okun’s law we known that the GDP gap is 18%, which means that we are 18% below the GDP amount which is given as $500 billion,

Hence,

Output forgone = (18/100) ×$500 billion

Output forgone=0.18×$500 billion

Output forgone=$90 billion

Therefore the Forgone Output is $90 billion

Find the area of the triangle

Answers

the area in the triangle is 14
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