Answer the questions relating to the bar graph in the image.

Using the tangent ratio below:

[tex] \large \boxed{tan A = \frac{opposite}{adjacent} }[/tex]

Therefore, the tangent ratio for a right triangle is:

[tex] \large{tanA = \frac{8}{12} }[/tex]

For this part, use the arctan to find the measure of A.

[tex] \large{arctan( \frac{8}{12} ) = A} \\ \large{arctan( \frac{8}{12} ) = 33.69 \degree}[/tex]

Therefore measure of A is 33.69, round to the nearest tenth as we get 33.7 degrees.

Answer

Furthermore, the question mentions the nearest tenth, that means the b and e choice should be cleared out.

Let me know if you have any doubts regarding the trigonometric ratio.

Answer:

-2

Step-by-step explanation:

If given lines are parallel, their slope must be equal. Therefore, the slope of the red line is also -2.

Answer:

sinC = [tex]\frac{4\sqrt{41} }{41}[/tex]

Step-by-step explanation:

We require to find the side DE before finding sinC

Using Pythagoras' identity in the right triangle

DE² + CE² = CD²

DE² + 5² = ([tex]\sqrt{41}[/tex] )²

DE² + 25 = 41 ( subtract 25 from both sides )

DE² = 16 ( take the square root of both sides )

DE = [tex]\sqrt{16}[/tex] = 4 , then

sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{DE}{CD}[/tex] = [tex]\frac{4}{\sqrt{41} }[/tex] , rationalise the denominator

sinC = [tex]\frac{4}{\sqrt{41} }[/tex] × [tex]\frac{\sqrt{41} }{\sqrt{41} }[/tex] = [tex]\frac{4\sqrt{41} }{41}[/tex]

Answer:

b.

[tex]V = \pi \cdot \int\limits^a_b {\left([f(x)]^2 - [g(x)]^2} \right) \, dx[/tex]

(c)

[tex]V = \pi \cdot \int\limits^3_1 {\left([arcos(y - 2)]^2 - [arcsine(x)]^2 - (-1)^2} \right) \, dx[/tex]

Step-by-step explanation:

b. The volume of solid formed is given by the washers formula as follows;

[tex]V = \pi \cdot \int\limits^a_b {\left([f(x)]^2 - [g(x)]^2} \right) \, dx[/tex]

Therefore, we have, the integral expression whose solution is the volume formed by rotating 'R', about the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on the interval, 0 ≤ x ≤ π, V is given as follows;

[tex]V = \pi \cdot \int\limits^\pi_0 {\left([2 + cox(x)]^2 - [csc(x)]^2} \right) \, dx[/tex]

(c)  We have;

x = arcos(y - 2), x = arcsin(1/y)

At x = 0, y = 2 + cos(0) = 3

csc(0) = ∞

At x = π, y = 2 + cos(π) = 2 + -1 = 1

csc(π) = ∞

Therefore, we get;

[tex]V = \pi \cdot \int\limits^3_1 {\left([arcos(y - 2)]^2 - [arcsine(x)]^2 - (-1)^2} \right) \, dx[/tex]

B) An equation that involves integral expressions whose solution is the volume of the solid generated when R is revolved around the x-axis is;

[tex]V = \pi \int\limits^\pi _0 ({[2 + cos(x)]^{2} - [csc(x)]^{2}}) \, dx[/tex]

C) An equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the line x= -1 is;

[tex]V = \pi \int\limits^\pi _0 ({[cos^{-1} (y - 2)]^{2} - [sin^{-1}(x)]^{2} - (-1)^{2} }) \, dx[/tex]

B) The volume of solid formed is gotten from applying the washers formula;

[tex]V = \pi \int\limits^a_b ({[f(x)]^{2} - [g(x)]^{2}}) \, dx[/tex]

This means that the integral expression whose solution is the volume formed by rotating R about the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on the interval, 0 ≤ x ≤ π, V is expressed as;

[tex]V = \pi \int\limits^\pi _0 ({[2 + cos(x)]^{2} - [csc(x)]^{2}}) \, dx[/tex]

C) From answer above, we have;

x = cos⁻¹(y - 2), x = sin⁻¹(1/y)

Now,

At x = 0; y = 2 + cos(0) = 3

csc(0) = 1/0 = ∞

Also,

At x = π; y = 2 + cos(π)

y = 2 + (-1)

y = 1

Also, csc(π) = ∞

Thus, we have;

[tex]V = \pi \int\limits^\pi _0 ({[cos^{-1} (y - 2)]^{2} - [sin^{-1}(x)]^{2} - (-1)^{2} }) \, dx[/tex]

Read more about finding the integral volume of solid at; https://brainly.com/question/21036176

6,000 + 700 + 30 + 8 is the expanded from.

Answer:

Step-by-step explanation:

20000000000+3000000000+900000000+60000+8000+400+7

Answer:

6/5

Step-by-step explanation:

2x+3=ky

ky=2x+3

y=(2x+3)/k

y=2x/k + 3/k - > equation 1

y=mx + c - >equation 2

Comparing equation 1 and 2,

2/k=m

2/k=5/3

6/5=k

k=6/5

Answer:

A. i think

Step-by-step explanation:

Answer:

4, -16, 64, -256

the common ratio is -4

Step-by-step explanation:

Answer:

soryyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Step-by-step explanation:

iiiiiiiiiiiiiiiiiiii neeeeeeeeeeeeeeeeeeeed pointsssssssssssssssssssssssssssssssssss.

Answer:

y = 1/4x

Step-by-step explanation:

y = amount of cubic feet = 15 cubic feet

x = time taken = 60 seconds

y = kx

Where,

k = constant of proportionality

y = kx

15 = k * 60

k = 15/60

k = 1/4

The equation

y = kx

Where

k = 1/4

Becomes,

y = 1/4x

Answer:

Y=7

Step-by-step explanation:

the 7 is the y value. the y value is = 7 when x =2

Answer:

True

Step-by-step explanation:

A system of equations can be solved by Translating the system of equations into a matrix by following theses steps

write out the resulting answer in form of equations.

Step-by-step explanation:

Answer:

D. 4 And 8

#Carryonlearning

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

everything can be found in the picture

Answer:

1/2

Step-by-step explanation:

These two triangles are similar, so there is a scale factor. The heights and the bottom sides of each triangle are similar, figure A has a bottom length of 6, and figure B has a bottom length of 3. To get from A to B, you multiply by 1/2. So the scale factor is 1/2.

Answer:

B

Step-by-step explanation:

An experiment is a study carried out in a controlled environment where the person undertaking the research hopes to understand cause and effect between the independent and dependent variables. An example of a experiment is the palovian experiment

The independent variable is the variable that the person carrying out an experiment changes or manipulates. the independent variable usually have a direct effect on the dependent variable

The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable

Observational study is the study where the researcher observes and measures cause and effect between independent and dependent variables without trying  to control or influence the population

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Answer:

3(3x - 10)(9x² + 30x + 100)

Step-by-step explanation:

Given

81x³ - 3000 ← factor out 3 from each term

= 3(27x³ - 1000 )← a difference of cubes which factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

27x³ - 1000

= (3x)³ - 10³

= (3x - 10)((3x)² + (3x)(10) + 10²)

= (3x - 10)(9x² + 30x + 100)

Then

81x³ - 3000 = 3(3x - 10)(9x² + 30x + 100) ← in factored form

Answer:

5/7 is the answer to your question

Answer:

Step-by-step explanation:

1)

9:10

+ 0:45

9:55      

so at 9:55 she finished her eating.

2)

  10:25

- 2:15

8:10

so test started at 8:10

3)

9:15

-7:30

2:15    

si games duration was 2;15

4)

2:40

+25

3:05

 se reached home at 3:05

Answer:

Equation : x + 40° + 91° + 53° = 180°

All angles in a triangle add up to 180°

The value of x is -4.

Now,

x + 40 + 91° + 53° = 180° ( ▼ Sum of three

angle of triangle is 180°)

x + 184 = 180

x = 180 - 184

▲ x = - 4

This is a Right answer....

Mark me as brainliest...

I hope you understand...

Answer:

Set 2

Step-by-step explanation:

First find the median of each set (the median being the number in the middle):

(1) { 4,7,10,13,16} = 10

(2) {8,9,10,18,19} = 10

(3) {8,9,10,11,12} = 10

(4) {1,2,10,11, 12} = 10

Then find the mean of each set (the mean being average of all the numbers, to find the average add up all the numbers and divide by the amount of numbers):

(1) { 4,7,10,13,16} = 10

(2) {8,9,10,18,19} = 12.8

(3) {8,9,10,11,12} = 10

(4) {1,2,10,11, 12} = 7.2

the answer being 12.8 since 12.8 is greater than 10

(4) {1,2,10,11, 12}

Answer:

Solution given:

1:

{ 4,7,10,13,16}

n=5

median={n+1)/2th term=6/2=3th term=10

mean=sum/n={ 4+7+10+13+16}/{5}=10

(2)

{8,9,10,18,19}

n=5

median={n+1)/2th term=6/2=3th term=10

mean=sum/n={8+9+10+18+19}/{5}=12.8

3) {8,9,10,11,12}

n=5

median={n+1)/2th term=6/2=3th term=10

mean=sum/n={8+9+10+11+12}/{5}=10

(4) {1,2,10,11, 12}

n=5

median={n+1)/2th term=6/2=3th term=10

mean=sum/n={1+2+10+11+13}/{5}=7.4

In above

1: mean=median

2:mean>median

3:mean=median

4:mean<median

so median is greater than mean is in 4th one.

(4) {1,2,10,11, 12}

Answer:

7.5 as an improper fraction in its simplest form would be 15/2

Answer:

it is 12

Step-by-step explanation:

for n= 36 divided by 3.

Answer:

Height = 6000 m

Step-by-step explanation:

[tex]Volume = length \times breadth \times height \\\\480000 = 10 \times 8 \times height\\\\480000 = 80 \times height\\\\height = \frac{480000}{80} = 6000 \ m[/tex]

Answer:

The answer is 3y - 10x - 27

Answer:

2,457

Step-by-step explanation:

The thousands place is when you move four spaces to the left starting from the first number. In this case, that number was seven, and to round, you need to round it up or down depending if the number to the left of the 4th number is greater or less than 5. In this case, that number was 3, so that 3 and the rest of the remaining numbers turn into 0's, making the rounded number 2,457.

I hope this information was of any use to you.

Answer:

2,457,000

Hope that this helps!

Well you can't really solve it but it's false.

It's should be -8.8 < 2.3

> means "is greater than"

< means "is less than"

Answer:

F. -16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle g(x) = -\frac{x^2}{4}[/tex]

Step 2: Evaluate

Step-by-step explanation:

The area of a circle = pi r^2

d = 2r Divide by 2 to get the radius

r = d/2

The diameter = 2.8 cm

r = d/2

r = 2.8/2

r = 1.4

The area of the circle = pi * r^1

The area of the circle = 3.14 * 1.4^2

The area of the circle = 6.1544

But you are working with a semic circle

The area of a semicircle is 1/2 that of a circle

Area of semicircle = 1/2 6.1544 = 3.0772 =3.08 when rounded