find the measure of the angle theta

Find The Measure Of The Angle Theta

Answers

Answer 1

Answer:

A. 57.8°

Step-by-step explanation:

Reference angle = θ

Length of hypotenuse = 15

Length of adjacent side = 8

Recall, SOHCAHTOA.

Thus, apply CAH to find θ.

Cos θ = Adj/Hyp

Cos θ = 8/15

θ = Cos^{-1}(8/15)

θ = 57.7690474° = 57.8°


Related Questions

me pueden ayudar a resolver la ecuaciones​

Answers

A. -x=-22-38
-x=-60
Tú correcta respuesta es x=60

B. x+45
x=35-42
Tú correcta respuesta es x=-7

C. 18+x+-8=4
18+x-8=4
x+10=4
x=4-10
Tú correcta respuesta es x=-6

The diameter of one red blood cell is about 2.95E-4 of an inch. It would take about 5.35E12 red blood
cells laid end to end to span the circumference of the earth.
What would be the length of this chain of red blood cells?

Answers

Answer:

1.578 × 109 inches

Step-by-step explanation:

Multiply the diameter of one red blood cell by the number of red blood cells to determine the length of the chain.

First, write both numbers in scientific notation.

Now, multiply using the product property of exponents.

Since the first term of a number written in scientific notation must be greater than 1 and less than 10, rewrite 15.78 × 109 as 1.578 × 109.

So, the length of the chain of red blood cells would be about 1.578 × 109 inches long.

please help!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The Blue box is your answer

Step-by-step explanation:

Multiply 4, 8, and 7 and you get 224. The problem states that it should not be over 250, and 224 is not over 250. So the blue box is your best go.

T
|3x°
--
V
W
Find the measure of angles T and V.
mZT=
o
mZV=

Answers

Answer:

∠T = 67.5

∠V = 22.5

Step-by-step explanation:

Angles of a triangle rule: The angles of a triangle should add up to equal 180

That being said we create an equation to solve for x

180 = 3x + x + 90 ( there is a right angle indicated by the square at the bottom right of the triangle. A right angle has a measure of 90 degrees so that is where the 90 cam from )

Now that we've created an equation we want to solve for x

180 = 3x + x + 90

step 1 combine like terms

3x + x = 4x

now we have 180 = 4x + 90

step 2 subtract 90 from each side

180 - 90 = 90

now we have 90 = 4x

step 3 divide each side by 4

4x / 4 = x

90 / 4 = 22.5

we're left with x = 22.5

Now we want to find ∠T and ∠V

To do so we replace x in the given expressions with 22.5

for ∠V

∠V = x so ∠V = 22.5

for ∠T

∠T = 3x

* replace x with 22.5 *

3 (22.5) = 67.5

Hence ∠T = 67.5

Solve the given proportion 2/4 = 5/x

Answers

2/4 simplified is 1/2

1/2 = 5/x

1 * 5 = 5
— —
2 * 5 = 10

x= 10

The solution to the proportion 2/4 = 5/x is x = 10.

To solve the given proportion 2/4 = 5/x, we can cross-multiply and then solve for x.

Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and then multiplying the denominator of the first fraction with the numerator of the second fraction.

Using the given proportion:

2/4 = 5/x

Cross-multiplying:

2 * x = 4 * 5

Simplifying:

2x = 20

To isolate x, divide both sides of the equation by 2:

(2x)/2 = 20/2

Simplifying:

x = 10

Therefore, the solution to the proportion 2/4 = 5/x is x = 10.

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A deli that just opened was giving out free mini sandwiches. A sample of 50 likely customers was surveyed about which sandwich they preferred. The people surveyed included 12 people who said they preferred the roast beef sandwich. Based on this information, how many of the first 150 sandwich orders should the deli predict will be for roast beef?

Answers

Answer:

128

Step-by-step explanation:

How many pairs of opposite sides are parallel

Answers

One pair is parallel
1 of the sides are parallel

Parallel to y = 2x – 5
going through (-6, 1)?

Answers

Answer:

y=2x+13

Step-by-step explanation:

Gradient of parallel lines are equal and in the equation,y=2x-5, 2 represents the gradient.

Therefore the gradient of the other line will also be 2.

Introduce another point (x,y) and then equate using the gradient as follows:

y-1/x--6=2

y-1/x+6=2

Cross multiplication;

(y-1)=2(x+6)

y-1=2x+12

y=2x+12+1

y=2x+13

Points scored in a basketball game vary directly with shots taken. If a player scores 50 points and takes 40
shots, how many would she have scored if she takes 60 shots? (Round your answer down to the nearest point
scored)
Add Media
Signature

Answers

Answer:

She would have scored 75 points.

Step-by-step explanation:

Points scored in a basketball game vary directly with shots taken.

This means that this question can be solved by proportions, using a rule of three.

How many would she have scored if she takes 60 shots?

Using a rule of three:

50 points - 40 shots

x points - 60 shots

Applying cross multiplication:

[tex]40x = 50*60[/tex]

Dividing both sides by 40

[tex]x = 50*1.5 = 75[/tex]

She would have scored 75 points.

(10x - 4)=20
Question: What value of x makes the equation true

Answers

Answer:

x = 10.4

Step-by-step explanation:

1. Multiply each side by 5 to remove it as a fraction

2. it cancels out on the left leaving 10x - 4 = 100

3. Add 4 to each side canceling it out on the left and leaving 10x = 104

4. Divide each side by 10 to get x by itself

5. 10x/100 = 104/10

6. x = 10.4

Find the surface area of the cylinder. Round your answer to the nearest hundredth and include units. Show your work on a piece of paper. *
1 point

Answers

Answer:

A = 414.69 km^2

Step-by-step explanation:

A = 2 π r h + 2 π r^2

A = 2(30)(pi) + 2(36)(pi)

A = 132pi

A = 414.69 km^2

Kathy bought 5 pencils for the price of $6.30. Which equation represents r, the cost, in dollars, of each pencil?
A.r=6.30+5
B.r = 6.30÷5
C.r=6.30×5
D.r=6.30−5

Answers

9514 1404 393

Answer:

  B.  r = 6.30÷5

Step-by-step explanation:

The cost per pencil is found by dividing the cost by the number of pencils.

Here, the cost is $6.30 and the number of pencils is 5. Then the cost per pencil (r) is ...

  r = 6.30 ÷ 5

A chemist has 30% and 40% solutions of acid available. How many liters of each solution should be mixed to obtain 65 liters of 32% acid solution?

liters of 30% acid
liters of 40% acid

Answers

Answer:

30 = 80 %

40= 20 %

Step-by-step explanation

I'm sorry for not writing how to do it but it's something like if 30 = 100 then if we had 40 occupying 20 percent of that acid then we will get 32 percent

The number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Let x be 30% solution of acid and y be 40% solution of acid.

Total quantity of solution is 65 liters.

Now, x+y=65 ----------(i)

Number of liters of solution should be mixed to obtain 65 liters of 32% acid solution.

So, the equation is 30% of x+40% of y=32% of 65

0.30x+0.40y=0.32×65

0.30x+0.40y=20.8 ----------(ii)

From equation (i), x=65-y

Substitute x=65-y in equation (ii), we get

0.30(65-y)+0.40y=20.8

19.5-0.30y+0.40y=20.8

0.10y=20.8-19.5

0.10y=1.3

y=1.3/0.1

y=13

Substitute y=13 in equation (i), we get x=52

Therefore, the number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.

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The question is down below.
AB=

Answers

Answer:

Step-by-step explanation:

This time we use the sin identity.

I am too lazy to write it out again but the answer is 6.97

One angle of a right triangle measures 60°. What is the measure of the other acute angle?

Answers

Answer:

30 degrees

Step-by-step explanation:

triangles have 180 degrees

right triangles have a right angle which is 90 degrees

180-90=90

90-60=30

Answer:

30 degrees

Step-by-step explanation:

A triangle has three sides that should add up to 180.

Since it is a right triangle a side has to be 90°.

90°+60°+_30°_ = 180°

How would the imaginary number 7/2i be written as a complex number?

Answers

Answer:3.5? i’m not sure sorry

hope that kinndaaaa helps if xxo

Step-by-step explanation:

The representation of (7/2)i in complex number will be 0 + (7/2)i thus option (C) will be correct.

What is a complex number?

Complex numbers are helpful in finding the square root of negative numbers.

If we solve x² + 1 = 0 ⇒ x = √(-1) which is called as iota(i).

The general form of a complex number is a + ib where the first part a called real and the ib is called imaginary.

The complex number is written as a + ib where a is said to be the real part while bi is the imaginary part.

As per the given (7/2)i here real part is missing thus, put a = 0

0 + (7/2)i will be the correct.

Hence "The representation of (7/2)i in complex number will be 0 + (7/2)i".

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anna's rug has sides lenghts of 4 feet and 9 feet what is the area of anna's rug

Answers

Answer:

36 feet :P

Step-by-step explanation:

4x9=36 habe a wonderful day love

Answer:

0.44. ??

Step-by-step explanation:

What is the length of the diagonal of a cube with a side length of 5 cm? Round to the nearest tenth.

O 7.1
O 8.7
O 21.3
O 26.7

Answers

Answer:

8.7

Step-by-step explanation:

formula

d = sqrt(s^2 + s^2 + s^2)

d = sqrt(3*5^2)

d = sqrt(75)

d = 8.7

Where did I get the formula? If the cube sits on one of its faces then the diagonal of that face is sqrt(s^2 + s^2) = sqrt(2s^2)

Now to get the third s^2, you have to realize the the diagonal you calculated in the previous remark is one of the legs for the cube's corner to corner diagonal. The other leg is the height squared which is also s^2.

Answer:

hello love! your answer is 8.7cm :)

Step-by-step explanation:

i got it right on edge !

pleaseee???? anyone? need helpp

Answers

Answer:

x=9

Step-by-step explanation:

Thats your answer

Find the area of the circle. Round your answer to the nearest hundredth. 3 in

Answers

Answer:

28.27 or 28 rounded up.

Answer:

7.07 in²

Step-by-step explanation:

Diameter = 3 in ( shown in figure )

Radius = 1/2( diameter) = 1/2 (3) = 1.5 in

Area of a circle = πr²

Area = (3.14)(1.5)²

Area = (3.14)(2.25)

Area = 7.065 in

Area = 7.07 in² ( round off)

Complete the statements to determine the amount of BTUs needed to properly cool Arthur's apartment.

The total volume of the apartment is
ft3.

An hourly rating of 2.5 BTUs per cubic foot is required, so
.

Arthur needs an air conditioner that will provide
BTUs to properly cool his apartment.

Answers

Answer:

1. 2,160ft^3

2. multiply the total volume by 2.5

3. 5,400 BTUs

Step-by-step explanation:

hope this helps

What is the value of this expression when X equals 8? 4X -6+ X +3

Answers

Answer:

32-6+8+3

37

Step-by-step explanation:

Answer:

32 - 6 + 8 + 3 = 37

Step-by-step explanation:

Since we have the x-value, we can plug it in.

4(8) -6 +(8) +3

32 - 6 + 8 + 3

26 + 11

37

Сумма пяти последовательных натуральных нечетных чисел равна 9975 Найдите эти числа

Answers

yeah is there a language filter on here ? orr

What is the length of side x and y? *????????????????????????

Answers

i uploaded the answer here just tap this link rq



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Select the correct answer. Consider functions fand g. f(x) = -3x^2 + 4x + 4 g(x) = x(-7x – 7) Which expression is equal to f(x) + g(x)? A. 4x2 – 3x + 4 B. -10r2 + 41 – 3 C. -10,2 – 3x + 4 D. –332 – 3x - 3 ​

Answers

Answer:

Correct Answer:

Option (B) -10r2 + 41 - 3

Step-by-step explanation:

#platolivesmatter

Hope this helped :)

Comment for more help, I respond very fast ;)

The expression is equal to f(x) + g(x) is  -10x^2 - 3x + 4, the correct option is C.

What is an expression?

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

The expression  f(x) = -3x^2 + 4x + 4 g(x) = x(-7x – 7)

Now,

To find f(x) + g(x), you can add the two functions term by term. This gives you:

f(x) + g(x) = (-3x^2 + 4x + 4) + (x(-7x – 7))

f(x) + g(x) = -3x^2 + 4x + 4 - 7x^2 - 7x

f(x) + g(x) = -10x^2 - 3x + 4

Therefore, by the given expression the answer will be -10x^2 - 3x + 4.

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What is c/6=9 equals to

Answers

c = 54

!!!_!£((£2((2)1)1)1

A rectangle has an area of 18 square centimeters. Which of the following could be the rectangle's length and width? (Area = equals length × times width)

Answers

Answer:

Step-by-step explanation:

any  combination that has as result 18

18 x1

9 x2

6x3

The area of a rectangle is 600 square meters. The width is 30 meters. What is the length?

Answers

Answer:

why is brainlys tutor system not free anymore

Step-by-step explanation:

I really need to know all of a sudden it's not free anymore

Answer:

A=L×W

600=L×30

600/30=L

L=20

therefore the length is 20m

Find Equivalent Expression 1/2 (4x + 4)

Answers

Answer:

2x+2

Step-by-step explanation:

1/2(4x)+1/2(4)=2x+2

Create a unique parabola in the pattern f(x) = ax2 + bx + c. Describe the direction of the parabola and determine the y-intercept and zeros.

Answers

Use the quadratic function f(x) = -x^2 - 6x. The parabola faces downward with y -intercept (-3,9) and zeros (-6,0) and (0,0). See the attached graph.
The axis of symmetry will serve as a ladder through the coaster at x = -3.
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