a rectangle is translated by the rule (x.y) --> (x-3, y+6). What will be the measure of each interior angle of the new rectangle.

Answer:

314.2 cm³

Step-by-step explanation:

Volume of a cone [tex] = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

The volume of the cone

[tex] = \frac{1}{3} \times \pi \times {5}^{2} \times 12[/tex]

[tex]= 314.15926...[/tex]

= 314.2 cm³ (rounded to the nearest tenth)

Answer: 314

Step-by-step explanation:

Step-by-step explanation:

[tex]here \: is \: your \: solution \\ \\ base \: = 4 \: cm \\ \\ height \: = 6 \: cm \\ \\ area \: of \: traingle = (1 \div 2) \times base \times height \\ \\ area \: = (4 \times 6) \div 2 \\ \\ area = 12 \: cm.sq \\ \\ hope \: it \: helps[/tex]

Answer: a

Step-by-step explanation:

Answer:

  (f•g)(5)=   [tex]\frac{309}{44}[/tex]

Step-by-step explanation:

f(x) =1/2x + 7

g (x) = 6x -8

f(g(5))

f(22)=[tex]\frac{1}{2x}[/tex]+7

      = [tex]\frac{1}{44}[/tex]+7

      =[tex]\frac{309}{44}[/tex]

Answer:

216 cubic inches

Jena's large jewelry box is 132 inches³ bigger than her small cube jewelry box.

What is a cube?

A cube is a three dimensional figure. All of it's sides are equal in length and all the planes of it are perfect square.

Given, length of the each side of Jena's small jewelry box = 2 inches.

Therefore, the volume of the small jewelry box is = 2³ inches³ = 8 inches³.

Again, length of the each side of Jena's small jewelry box are 7 inches, 5 inches, and 4 inches.

Therefore, the volume of the small jewelry box is = (7 × 5 × 4) inches³ = 140 inches³.

Hence, the difference = (140 - 8) inches³ = 132 inches³.

Learn more about cube here: https://brainly.com/question/21270685

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9514 1404 393

Answer:

  -6, -5, -4, -3

Step-by-step explanation:

Integers greater than -7 include ... -6, -5, -4, ....

Integers less than or equal to -3 include ... -3, -4, -5, ....

The set of integers in the range -7 < n ≤ -3 is ...

  {-6, -5, -4, -3}

Answer:

Air is made up of 78.09% nitrogen, 20.95% oxygen, 0.93% argon, 0.04% carbon dioxide, and other gases in smaller amounts. All these elements are made of atoms. Atoms make up every living and non-living thing in this universe, air included.

Answer:

[tex]y = \frac{384}{9}[/tex]

Step-by-step explanation:

Given

[tex]y\ \alpha\ x^2[/tex] --- direct variation

[tex](x,y) = (3,24)[/tex]

Required

y when x = 4

[tex]y\ \alpha\ x^2[/tex]

Express as an equation

[tex]y = kx^2[/tex]

Substitute: [tex](x,y) = (3,24)[/tex]

[tex]24 = k*3^2[/tex]

[tex]24 = k*9[/tex]

Solve for k

[tex]k = \frac{24}{9}[/tex]

To solve for y when x = 4, we have:

[tex]y = kx^2[/tex]

[tex]y = \frac{24}{9} * 4^2[/tex]

[tex]y = \frac{24}{9} * 16[/tex]

[tex]y = \frac{24 * 16}{9}[/tex]

[tex]y = \frac{384}{9}[/tex]

Answer:

Students 1 & 4

Step-by-step explanation:

An expression has NO equal sign, EQUATIONS have equals.

2 & 3 have equals which makes then equations.

~R3V0

Answer:

A. 4,5,8

Step-by-step explanation:

Answer: X= y^2

Step-by-step explanation:

Answer:

[tex] - \frac{2}{4 } = - \frac{16}{32} [/tex]

[tex] - \frac{6}{8} = - \frac{24}{32} [/tex]

[tex] - \frac{13}{32} = [/tex]

remains the same

Answer:

60 foxes

Step-by-step explanation:

8*7.2 = 57.6

57.6 + 1.9 = 59.9

I think you should round 59.9 up to 60.

so the answer is 60 foxes.

Answer:

3,0

Step-by-step explanation:

Answer:

Every day Dajuan will paint 14.5 square feet of the wall.

Step-by-step explanation:

Since Dajuan is painting a mural on a rectangular wall, which measures 14.5 feet long and 10 feet wide, and so far, his mural covers 60% of the wall, and Dajuan will paint the remaining part of the wall over the next four days, painting the same amount of the wall, in square feet, on each of those four days, to determine how much of the wall, in square feet, will Dajuan paint on each of the next four days, the following calculation must be performed:

((14.5 x 10) x 0.4) / 4 = X

(145 x 0.4) / 4 = X

58/4 = X

14.5 = X

Therefore, every day Dajuan will paint 14.5 square feet of the wall.

350 / 70 = 5km2

5x30 = 150km2

The answer is: 150km2

Answer:

Step-by-step explanation:

I love u

Answer:

56  hardwood     80  pine bark

Step-by-step explanation:

H = hardwood    B= pine bark

B +H = 136

B = (136-H)

4.25 H + 3.75 (136-H) = 538

4.25H + 510 - 3.75H = 538

0.5 H = 28

1H = 56   (56 Hardwood)

136-56= 80  

56x 4.25 + 80 x 3.75 = 538

$238 + $300 = $538

Answer:

A

Step-by-step explanation:

Answer:

Natalie is 13 years old, while Fred is 28 years old.

Step-by-step explanation:

Given that if you add Natalie’s age and Fred’s age, the result is 41, and if you add Fred’s age to 3 times Natalie’s age, the result is 67, to find how old Fred and Natalie are, the following calculation must be performed:

N + F = 41

3N + F = 67

(67 - 41) / 2 = N

26/2 = N

13 = N

13 x 3 + F = 67

39 + F = 67

F = 67 - 39

F = 28

28 + 13 = 41

Therefore, Natalie is 13 years old, while Fred is 28 years old.

Answer:

B

Step-by-step explanation:

y-intercept is where x is zero, so we must look at where the y-iterceot is crossed

Answer:

Option A.

Step-by-step explanation:

Function f:

For x between -1 and 2, the values of f(x) increase, which means that f(x) is increasing.

Function g:

[tex]g(x) = -18(\frac{1}{3})^x + 2[/tex]

Between -1 and 2:

[tex]g(-1) = -18(\frac{1}{3})^{-1} + 2 = -18*3 + 2 = -54 + 2 = -52[/tex]

[tex]g(0) = -18(\frac{1}{3})^{0} + 2 = -18*1 + 2 = -18 + 2 = -16[/tex]

[tex]g(1) = -18(\frac{1}{3})^{1} + 2 = -18*\frac{1}{3} + 2 = -6 + 2 = -4[/tex]

[tex]g(2) = -18(\frac{1}{3})^{2} + 2 = -18*\frac{1}{9} + 2 = -2 + 2 = 0[/tex]

Both are increasing.

However, g starts with a lower value, and finishes with a higher value, which means that function g increases at a faster average rate, and the correct answer is given by option A.

Answer:

Hello!

Here are the coordinates and a picture example!

Original coordinates: -3, -5

New coordinates: 3, -5

Hope that helps!

Answer:

C

Step-by-step explanation:

The answer is c because when 2, -1 is plugged into the equation, you get

.5(2) - 2(-1) >/= 3

when solved -

1 + 2 >/= 3 -

3 >/= 3

and this is in the solution set because three is equal than or greater to three

Answer: 11.2$

Step-by-step explanation:

Answer:

[tex]n \leqslant 4[/tex]

Step-by-step explanation:

[tex] - 3n - 5 \geqslant - 17[/tex]

[tex] - 3n \geqslant - 12[/tex]

[tex] \frac{ - 3n}{ - 3} \leqslant \frac{ - 12}{ - 4} [/tex]

[tex]n \leqslant 4[/tex]

Answer:

C. 162.5 sq ft.

Step-by-step explanation:

Given the following data;

S.A of smaller cylinder, S1 = 65 ft²

Ratio = 2:5 = 2 + 5 = 7

Let the total surface area be x.

S1 = 2/7 * x = 65

S1 = 2x = 65 * 7

S1 = 2x = 455

x = 455/2

x = 227.5 ft²

To find the surface area of the larger cylinder;

S2 = 5/7 * 227.5

S2 = 1137.5/7

S2 = 162.5 ft²

Given:

The polynomial are:

[tex]ax^3-3x^2+4[/tex]

[tex]2x^3-5x+a[/tex]

If the above polynomial divided by (x-2) then they leave remainder p and q respectively.

[tex]p-2q=4[/tex]

To find:

The value of a.

Solution:

According to the remainder theorem, if a polynomial f(x) is divided by (x-c), then the remainder is f(c).

If the polynomial [tex]ax^3-3x^2+4[/tex] is divided by (x-2), then the remainder is p. So.

[tex]a(2)^3-3(2)^2+4=p[/tex]

[tex]8a-12+4=p[/tex]

[tex]8a-8=p[/tex]

If the polynomial [tex]2x^3-5x+a[/tex] is divided by (x-2), then the remainder is q. So.

[tex]2(2)^3-5(2)+a=q[/tex]

[tex]16-10+a=q[/tex]

[tex]6+a=q[/tex]

It is given that,

[tex]p-2q=4[/tex]

[tex](8a-8)-2(6+a)=4[/tex]

[tex]8a-8-12-2a=4[/tex]

[tex]6a-20=4[/tex]

Add 20 on both sides.

[tex]6a=4+20[/tex]

[tex]6a=24[/tex]

[tex]a=\dfrac{24}{6}[/tex]

[tex]a=4[/tex]

Therefore, the value of a is 4.