what is the correct answer​

Answer:

3. 120

4. 1331

Step-by-step explanation:

Answer:

31793 cm^3

Step-by-step explanation:

Equation

Volume = [tex]\pi[/tex] * r^2 * h

Givens

d = 2*r

d  = 30

r = 15

h = 45

[tex]\pi[/tex] = 3.14

Solution

V = 3.14 * 15^2 * 45

V = 31793 rounded.

Answer:

39.8 cm^2

Step-by-step explanation:

area of triangle

base = 5 cm

height = 12 cm

are of triangle = base *height / 2

=5*12/2

=60/2

30 cm^2

area of semi circle

diamtere = 5

radius = diameter/2

=5/2

=2.5

area of semi circle = πr^2/2

=3.14*2.5^2/2

=19.625/2

=9.8125 cm^2

are of the figure = are of triangle + area of semicircle

=30 + 9.8125 cm^2

=39.8125 cm^2

=39.8 cm^2   (after converting to the nearest tenth)

Answer:

[tex] {( \cos2A - \cos2B) }^{2} + {( \sin2A + \sin2 B }^{2}\\ = ( - 2\cos2A \cos2B + { \cos {}^{2} 2A } + \cos {}^{2} 2B) + (2 \sin2A \sin2B + \sin {}^{2} 2A + \sin {}^{2} 2B)\\ \\ { = - 2( \sin2A + \sin 2 B - \cos2 A - \cos2B) }\\ \\ { = - 2( - 4 \sin( A + B) \cos(A + B) } \\ \\ = {\tt{double \: angle \: of \: sine}}\\ \\ { = 2 \times 2(2 \sin (A + B) \cos(A + B)) }\\ \\ { = 4 \sin2(A + B)}[/tex]

Answer: 620 cm2

Step-by-step explanation:

The base of the prism is a rectangle with 24 cm x 10 cm, so the base area is:  B = 24 * 10 = 240 cm2

The cross section is a triangle with base = 24 cm and height = 5 cm, so its area is:  C = 24 * 5 / 2 = 60 cm2

The sides are rectangles with 10 cm x 13 cm, so their area is:  D = 10 * 13 = 130 cm2

The total surface area is:  S = B + 2C + 2D = 240 + 2*60 + 2*130 = 620 cm2

Answer:

The answer is "3"

Step-by-step explanation:

[tex]\to f(7)=f(5 + 2)=1+f(5)\\\\\to f(5)=f(3+2)=1+f(3)\\\\\to f(3)=f(1+2)=1+f(1)=1+0=1\\\\[/tex]

Therefore

[tex]\to f(7)=1+f(5)=1+1+f(3)=2+1+f(1)=2+1+0=3[/tex]

Answer:

Just replace the variable "x" with "5":

f(5) = 2×5 + 4 = 14

Answer: f(5) = 14

Step-by-step explanation:

Answer:

Coordinate of points = (7 , 0)

Step-by-step explanation:

Given:

Equation of slope;

y – y1 = m(x – x1)

Equation of slope;

y = 3(x – 7)

Find:

Coordinate of points

Computation:

By comparing

y - 0 = 3(x - 7)

So,

y1 = 0

m = 3

x1 = 7

Coordinate of points = (7 , 0)

Answer:

4 lbs

Step-by-step explanation:

1/4 x 4 =1

1/2 x 2= 1

3/8 + 3/8 + 5/8 + 5/8 =16/8

16/8 =2

1+1+2=4

Answer:

[tex](f \circ g)(-8) = 16[/tex]

Step-by-step explanation:

The given function are;

f(x) = x² - 3·x - 12, and g(x) = -x - 12

[tex](f \circ g)(x) = f(g(x))[/tex]

Therefore;

[tex](f \circ g)(-8) = f(g(-8))[/tex]

g(-8) = -(-8) - 12 = 8 - 12 = -4

∴ f(g(-8)) = f(-4) = (-4)² - 3×(-4) - 12 = 16

Therefore;

[tex](f \circ g)(-8) = f(g(-8)) = 16[/tex]

Cubic stack would mean all the sides are the same length.

The length of the side is given as 3 yards.

Volume = 3^3 = 3 x 3 x 3 = 27

Volume = 27 cubic yards.

3.1 x 22 1/2 = 69.75 rounded is 70

Answer:

$450

Step-by-step explanation:

Answer:

3^12

Step-by-step explanation:

(3^2)^6

6 * 2 = 12

3^12

Calculator check: (3^2)^6 = 531441

3^12 = 531441

Answer:

3^12

Step-by-step explanation:

We know that a^ b^c = a^(b*c)

3^2^6 = 3^(2*6) = 3^12

Step-by-step explanation:

Let,

the telephone pole be AB

the wire be AC

therefore AB=24

AC=26

By using Pythagora's theorem

(AC)² =(AB)² + (BC)²

(26)² =(24)² + (BC)²

676 = 576 + (BC)²

(BC)²= 676 - 576

(BC)²=100

BC =✓100

BC. =10

Therefore, the base of the telephone pole is set 10m far

Answer:

La medida del polígono que es igual al radio de la circunferencia es el segmento de recta comprendido entre el centro geométrico del polígono y cualquiera de sus vértices, cuyo nombre es también radio.

Step-by-step explanation:

La medida del polígono que es igual al radio de la circunferencia es el segmento de recta comprendido entre el centro geométrico del polígono y cualquiera de sus vértices, cuyo nombre es también radio.

Answer:

A two-column proof uses a table to present a logical argument and assigns each column to do one job, and then the two columns work in lock-step to take a reader from premise to conclusion.

Step-by-step explanation:

Basically in simple terms, one side is the statements, and the otherside is the reasoning

Answer:

10.3 units

Step-by-step explanation:

coordinate points are

T(2, -2) =(x1 , y1)

W(-7, 3) =(x2 , y2)

distance formula = [tex]\sqrt{(x2 -x1)^2 + (y2 -y1)^2}[/tex]

=[tex]\sqrt{(-7-2)^2 + {3-(-2)}^2[/tex]

=[tex]\sqrt{(-9)^2 + (3+2)^2[/tex]

=[tex]\sqrt{81 + 5^2[/tex]

=[tex]\sqrt{81 + 25[/tex]

=[tex]\sqrt{106[/tex]  

=10.29563014

=10.3 (after converting it to the nearest tenth)

Answer:

Surface area = 162 m^2

Step-by-step explanation:

Below is the given values:

Length of cuboid = Height of cuboid

The volume of the cuboid = 108 m^3

The breadth of the cuboid = 12 m

Now use the volume formula:

Volume = area of one surface × height

Volume = (L x B) * H

(L x 12) * H = 108       (L = H)

L x 12 x L = 108

L^2 = 108/12

L = 3 m

Thus length and height is = 3m

Surface area = 2 (L x B + b x h + L x h)

Surface area = 2 (3 x 12 + 12 x 3 + 3x 3)

Surface area = 162 m^2

Given:

The parent function is:

[tex]f(x)=2^x[/tex]

The other function is:

[tex]g(x)=2f(x)[/tex]

To find:

The statement that describes a key feature of function g.

Solution:

We have,

[tex]f(x)=2^x[/tex]

[tex]g(x)=2f(x)[/tex]

Using these two functions, we get

[tex]g(x)=2(2)^x[/tex]

Putting [tex]x=0[/tex], we get

[tex]g(x)=2(2)^{(0)}[/tex]

[tex]g(x)=2(1)[/tex]

[tex]g(x)=2[/tex]

The y-intercept of the function g at (0,2). So, option A is correct and option B is incorrect.

We know that [tex]g(x)\to 0[/tex] as [tex]x\to -\infty[/tex] and it will never intersect the line [tex]y=0[/tex]. It means the horizontal asymptote of the function g is

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

Answer:

x=19,0

y=0,-38/3

Step-by-step explanation:

Answer:

x = 4, y = -10

Step-by-step explanation:

-x - 6 - y = 0

-x - y = 6

2x - 3y = 38, -x - y =6

2x - 3y = 38

2x = 3y + 38

Divide both sides by 2

x = 1/2(3y+38)

Multiple 1/2 times 3y + 38

x= 3/2 y + 19

-(3/2y + 19) -y =6

-3/2y - 19 - y = 6

-5/2y -19 = 6

-5/2y = 25

y = -10

x = 3/2(-10) + y

x = -15 + 19

x = 4

x = 4, y = -10

Answer:

Talisa is 62 inches tall

Step-by-step explanation:

tan = opp/adj

tan60 = opp/36

36 * tan 60 = opp

use calculator

opp = 62.353829072479583

Rounded

Talisa is 62 inches tall

Answer:

(3) 8

Step-by-step explanation:

Note that ∆ADE is similar to ∆ABC. As such, the ratios of their legs are equal. Also note that AD = AB + BD.

BC/AB = DE/AD

BC/10 = 12/(10 + 5) = 12/15 = 4/5

or

BC = 10(4/5) = 8

Answer:

[tex]\frac{4}{7}\times\frac{13}{9} = \frac{52}{63}[/tex]

Step-by-step explanation:

Given

See attachment for model

Required

Determine [tex]\frac{4}{7}\times\frac{13}{9}[/tex] from the model

The model is represented by:

[tex]\frac{4}{7}\times\frac{13}{9} = \frac{4}{7}\times\frac{9}{9} + \frac{4}{7}\times\frac{4}{9}[/tex]

To get: [tex]\frac{4}{7}\times\frac{9}{9}[/tex], we consider the first partition

The number of shaded box is 63 ---- this represents the denominator

The total boxes shaded at the bottom is 36 ---- this represents the numerator

So, we have:

[tex]\frac{4}{7}\times\frac{9}{9} = \frac{36}{63}[/tex]

To get: [tex]\frac{4}{7}\times\frac{9}{9}[/tex], we consider the first partition

The number of shaded box is 63 ---- this represents the denominator

The total boxes shaded at the bottom is 16 (do not count the gray boxes) ---- this represents the numerator

So, we have:

[tex]\frac{4}{7}\times\frac{4}{9} =\frac{16}{63}[/tex]

The equation becomes:

[tex]\frac{4}{7}\times\frac{13}{9} = \frac{4}{7}\times\frac{9}{9} + \frac{4}{7}\times\frac{4}{9}[/tex]

[tex]\frac{4}{7}\times\frac{13}{9} = \frac{36}{63} + \frac{16}{63}[/tex]

[tex]\frac{4}{7}\times\frac{13}{9} = \frac{36+16}{63}[/tex]

[tex]\frac{4}{7}\times\frac{13}{9} = \frac{52}{63}[/tex]

Answer:

A = 6π

Step-by-step explanation:

Expression for the area of a sector is given by,

A = [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]

For θ = 240° and r = 3,

By substituting these values in the given expression,

A = [tex]\frac{240}{360}(\pi) (3)^{2}[/tex]

   = [tex]\frac{240\times 9}{360}\pi[/tex]

   = 6π

Therefore, A = 6π is the answer.

Answer:

4 2/3 + 1 3/4 = 6 5/12

This is because the z coordinate is -4. So we move down 4 units on the z axis. The z axis is basically a vertical pole planted in the ground, and the xy plane is the flat floor.

It's a bit tricky to visualize so try to imagine that you're in this 3D space personally.

Or you could imagine that something like z = -4 means you are in basement level 4 of a building (say a parking garage) and something like z = 6 means you're on the 6th floor above the ground.

Answer:

x = 10

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

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

Distribute

8x-8 = 6x+12

Subtract 6x from each side

8x-8 -6x = 6x+12-6x

2x-8 = 12

Add 8 to each side

2x-8+8 = 12+8

2x=20

Divide by 2

2x/2 = 20/2

x = 10

Answer:

x must be 10

Step-by-step explanation:

The two angles shown are "vertical angles" and are thus equal.

So 8(x - 1) = 6(x + 2), or (after carrying out the indicated multiplication):

8x - 8 = 6x + 12, or

2x = 20

Then x must be 10.

Answer:

y=4x + 3/4

Step-by-step explanation: