Find the VOLUME of this figure.

Answer:

To do this question, you need to put the numbers in least to greatest. Greatest to least will not work and will be incorrect.

It will be:

-3, -1, 0, 1, 5, 6, 7, 8, 10, 13

Now you have to cancel each number out from each end.

You will get the numbers:

5, and 6.

You have to find the average of this so:

5 + 6 = 11

11 ÷ 2 = 5.5

So the answer is 5.5.

Answer:

5.5

Step-by-step explanation:

First you would rearrange the numbers from smallest to biggest or vice versa then you cancel out equal number of numbers on both sides until you get to the middle. If it's an even amount of numbers, like 10, then there will be two in the middle instead of one so in that case you would add the two of them and then divide by two.

For example, -3, -1, 0, 1, 5, 6, 7, 8, 10, 13

you would cancel out until you get to the middle which would leave you with 5 and 6 so you add them and divide by two to get 5.5.

Answer:

1 13/16 gallons

1.8125 gallons

Step-by-step explanation:

convert the measures that are not in gallons to gallon

1 pint = 1/8 gallon

4 x 1/8 = 1/2

1 cup =1/16 gallon

5 x 1/16 = 5/16

0.3125

1 quart = 1/4

1/4 x 2 = 1/2

Add these figures togehter

1/2 + 5/16 + 1/2 + 1/2 = 29 / 16 = 1 13/16 gallons

Answer:

The temperature is: 14.5 degrees

Step-by-step explanation:

Given

[tex]T = 4 \cos(30(t - 8)) + 16[/tex]

Required

The temperature at 4:15

We have:

[tex]t = 4:15[/tex]

Convert to hours

[tex]t = 4+\frac{15}{60}[/tex]

[tex]t = 4+0.25[/tex]

[tex]t = 4.25[/tex]

So:

[tex]T = 4 \cos(30(t - 8)) + 16[/tex]

[tex]T = 4 \cos(30(4.25 - 8)) + 16[/tex]

[tex]T = 4 \cos(30(-3.75)) + 16[/tex]

Open bracket

[tex]T = 4 \cos(-112.5) + 16[/tex]

[tex]T = 4 *-0.3826 + 16[/tex]

[tex]T = -1.5304 + 16[/tex]

[tex]T = 14.4696[/tex]

Approximate

[tex]T = 14.5^o[/tex]

Answer:

21

Step-by-step explanation:

Answer:

use waymath but type it the other way around

Step-by-step explanation:

Answer:

1) it's a circle, (4x + 12)² + (2y - 2)² = 64

2) it's a circle, (x + 4)² + (y - 3)² = 40

3) it's a parabola, (x + 3)² = -4(y - 1)

Step-by-step explanation:

Equation of a circle: (x - h)² + (y - k)² = r²

factorize the equation:

1) => 16x² + 96x + 144 + 4y² - 8y + 4 + 84 = 144 + 4

=> (4x + 12)² + (2y - 2)² = -84 + 144 + 4

=> (4x + 12)² + (2y - 2)² = 64 (equation of the circle)

Graph the circle using the radius and the center.(& compass for drawing circles)

=>(4x - (-12))² + (2y - 2)² = 8²

    (x  -   h   )² +  (y   - k)² = r²

Center: (h, k)  => (-12, 2)

Radius: √r²   => √64 = 8

2) => x² + 8x + 16 + y² - 6y + 9 - 15 = 16 + 9

=> (x + 4)² + (y - 3)² = 15 + 16 + 9

=> (x + 4)² + (y - 3)² = 40 (equation of the circle)

Graph the circle using the radius and the center.(& compass for drawing circles)

=> (x  - (-4)  )² +  (y - 3)² = 40

    (x  -   h   )² +  (y  - k)² = r²

Center: (h, k)  => (-4, 3)

Radius: √r²   => √40 ≈ 6.32

Equation of a parabola facing down: (x - h)² = 4a(y - k)

3) => x + 6x + 9 = -4y - 5 + 9

=> (x + 3)² = -4y + 4

=> (x + 3)² = -4(y - 1) (equation of the parabola)

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

=> (x - (-3))² = 4 × -1(y - 1)

    (x -  h  )² = 4 ×  a(y - k)

Vertex: (h, k)  =>  (−3,  1)

Focus:  (h, k + a)  => (-3, 1 + (-1)) => (−3,  0)

Axis of Symmetry:  x = h  => x  =  −3

Directrix:  y = k - a  => y = 1 - (-1) => y  =  2

x     |    y

−5    |   0

−4    |   3/4  

−3    |    1    

−2    |  3/4

−1     |    0

(graphs in the pictures below)

Answer:

51

Step-by-step explanation:

90-39 = 51

Answer: 8 inches by 6 inches

Step-by-step explanation:

Answer:

[tex]\displaystyle cos\theta = \frac{2\sqrt{13}}{13}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

[Right Triangles Only] SOHCAHTOA

[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

a = 8

b = 12

c

Step 2: Solve for c

Step 3: Define Pt. 2

Identify variables

Angle θ

Adjacent leg = 8

Hypotenuse = 4√13

Step 4: Find

Answer:

Solution given;

In right angled triangle with respect to θ

perpendicular: opposite side: [P]=12

base:adjacent:[b]=8

hypotenuse [h]=?

cosθ=?

According to the Pythagoras law

h²=p²+b²

h²=12²+8²

h=[tex] \sqrt{208}[/tex]

h=[tex] 4\sqrt{13}[/tex]

Now

we have

Cos θ=[tex]\frac{adjacent}{hypotenuse}[/tex]

Cos θ=[tex]\frac{8}{4\sqrt{13}}[/tex]

by rationalising it

Cos θ= [tex] \frac{2\sqrt{13}}{\sqrt{13}×\sqrt{13}}[/tex]

Cos θ= [tex] \frac{2\sqrt{13}}{13}[/tex]

is a required answer.

Answer:

y = 7.75x

Step-by-step explanation:

Steven earns extra money babysitting.

Step 1

Let us find the amount he earns per hour based on the charges given in the question.

a) He charges $31.00 for 4 hours

4 hours = $31

1 hour = x

Cross Multiply

4x = $31

x = $31/4

x = $7.75

b) And $46.50 for 6 hours.

6 hours = $46.50

1 hour = x

Cross Multiply

6x = $46.50

x = $46.50/6

x = $7.75

This means, Steven earns $7.75 per hour.

Step 2

Let

x represent the number of hours Steven babysit

y represent the amount he charges.

Therefore, an equation to represent the relationship is written as:

y = $7.75 × x

y = 7.75x

[tex] \huge\boxed{ \boxed{\mathrm{ \underline{Answer}࿐ }}}[/tex]

The given triangle is a right angled triangle,

so let's apply trigonometry here :

Now,

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

7 x 4 = 28

28 x 1/2(dividing by 2) = 14, 14 x 2(two triangles) = 28

4 x 5 = 20(area of square in the middle)

5 x 8 = 40(area of square on one side), 40 x 2 = 80(area of squares on both sides)

Now lets add the given areas:

28 + 20 + 80 = 128 square is your answer.

Answer:

9

Step-by-step explanation:

the median is 9 and to keep it the same you put 9

Hope this helps!!!

Answer:

A = 10.5 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 7 and h = 3 , then

A = 0.5 × 7 × 3 = 10.5 cm²

Answer:

A = 10.5 cm²

Step-by-step explanation:

hope this helps

Answer: 6

Step-by-step explanation: The answer is 6

Answer:

km is a unit of distance

and si unit of distance is meters.(m)

1 km = 10³ m

•°• 2 km = 2 × 10³ m

in SI unit 2km = 2 × 10³ m or 2000 m

Answer:

Step-by-step explanation:

15 - x = 3x + 3

15 - x = 3•x + 3

4x = 12

x = 3

Sorry, I change the b and a into x's if that's fine with you.

Answer:

b = 6 sqrt(2)

Step-by-step explanation:

Since this is right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

3^2 + b^2 = 9^2

9+b^2 = 81

b^2 = 81-9

b^2 = 72

Take the square root of each side

sqrt(b^2) = sqrt(72)

b = sqrt(36*2)

b = 6 sqrt(2)

Answer: C. How many mountain ranges are in the U.S.

Step-by-step explanation:

A statistical question first of all has to have a quantitative response i.e., answers should be in numbers.

The only two questions here that would yield a numeric answer are options C and D.

Furthermore, a statistical question has variability in it which means that the answer is based on multiple observations not just one. The observations in option C are mountain ranges and as the question requires finding out details about multiple mountain ranges, this is a statistical question.

This is opposed to option D which addresses issues surrounding just one mountain.

Answer:

C. a+bi

I took the test

The area of the crust that will cover the top of the pie is 50.24 square inches.

A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.

For the given situation,

The baking pan is in the shape of a circle.

The diameter of a baking pan = 8 inches

So, the radius of a baking pan,r = [tex]\frac{diameter}{2}[/tex]

⇒ [tex]r=\frac{8}{2}[/tex]

⇒ [tex]r=4[/tex]

The area of the crust that will cover the top of the pie is

[tex]A=\pi r^{2}[/tex]

we know that the value of π is 3.14.

On substitute the above values,

⇒ [tex]A=(3.14)(4)^{2}[/tex]

⇒ [tex]A=(3.14)(16)[/tex]

⇒ [tex]A=50.24[/tex]

Hence we can conclude that the area of the crust that will cover the top of the pie is 50.24 square inches.

Learn more about circles here

https://brainly.com/question/16125353

#SPJ2

Answer:

[tex]g {}^{ - 1} (x) = 2 \sqrt[3]{x - 16} [/tex]

choose (2)

Answer:

use this formula ot find area of rectangl 2l +2w

Answer:

4pi or 12.57

Step-by-step explanation:

Area = pi * radius^2

Area = pi * 2^2

Area = pi * 4

Area = 4pi or 12.57

Happy Pride Month!

Part 1:

You can solve the pair of equation graphically by writing the y-intercepts which are (0,-1) and (0,-5) Then follow the slopes of each line till the intercept. The slopes are up 2 over 1 and up 4 over 1 respectivily

Part 2:

When you graph these you get the answer of (2,3)

x is 2 and y is 3

Have a good day!

Answer:

i remember doing this but i forgot the answers

Step-by-step explanation:

sorry :(

Answer:

0,0 means the origin so put place it on the origin.

Answer:

x = 12

Step-by-step explanation:

67+42+6x-1=180

108+6x=180

6x=72

x=12

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]g(x) = - 5x - 1 \\ x = 2 \\ [/tex]

Substitute the value of 'x' in the polynomial g(x) = - 5x - 1.

[tex]g(2) = - 5(2) - 1 \\ g(2) = - 10 - 1 \\ g(2) = - 11[/tex]

✐ The correct answer will be ⇻ C) g(2) = -11.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

Its A  g(2) = 2

Step-by-step explanation:

g(2) This means that x is 2, so you can plug in 2 for "x" in the equation

Answer:

BA = 12 cm

Step-by-step explanation:

BC = 5 because it is an isosceles triangle.

Then we use the Pythagorean Theorem on triangle ABD that [tex]\sqrt{13^{2} - 5^{2} }[/tex]= BA

That means that [tex]\sqrt{169 - 25} = \sqrt{144} = 12 = BA[/tex]

The answer is 12 cm