Find the surface area of the prism.

Answer:

30 mm

Step-by-step explanation:

There are 4 sides to this parallelogram. Two of the sides have 3 mm as the length and the other two have 12 mm.

         2 (3 mm) + 2 (12 mm)

         = 6 mm + 24 mm

         = 30 mm

Answer:

30

Step-by-step explanation:

Since the long side that is blank is the same length of 12 and the short side is the same length of 3.

12+12=24

3+3=6

24+6=30

Answer:

1. 1.55π,

2. 16π,

3. 2.45π,

4. ( About ) 5.56π,

5. 13.7π

6. ( About ) 1.78π

Step-by-step explanation:

1. Let us keep the answer in terms of π, for the simplicity;

Area of Circle ⇒ π * r^2 = π * ( 3 )^2 = 9π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

62 / 360 = Area of sector / 9π,

62 * ( 9π ) = 360 * Area of sector,

558π = 360 * Area of sector,

Area of sector; 1.55π

2. Area of Circle ⇒ π * r^2 = π * ( 8 )^2 = 64π,

Area of sector ⇒ 1 / 4 * 64π = 16π,

Area of sector; 16π

3. Area of Circle ⇒ π * r^2 = π * ( 3 )^2 = 9π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

98 / 360 = Area of sector / 9π,

98 * ( 9π ) = 360 * Area of sector,

882π = 360 * Area of sector,

Area of sector; 2.45π

4. Area of Circle ⇒ π * r^2 = π * ( 4 )^2 = 16π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

125 / 360 = Area of sector / 16π,

125 * ( 16π ) = 360 * Area of sector,

2000π = 360 * Area of sector,

Area of sector; ( About ) 5.56π

5. Area of Circle ⇒ π * r^2 = π * ( 6 )^2 = 36π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

137 / 360 = Area of sector / 36π,

137 * ( 36π ) = 360 * Area of sector,

4932π = 360 * Area of sector,

Area of sector; 13.7π

6. Area of Circle ⇒ π * r^2 = π * ( 2 )^2 = 4π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

160 / 360 = Area of sector / 4π,

160 * ( 4π ) = 360 * Area of sector,

640π = 360 * Area of sector,

Area of sector; ( About ) 1.78π

Answer:

$629.75

Step-by-step explanation:

2,939.12 (Monthly net pay) - 1379 (Mortgage) - 302 (Food) - 448.37 (Car) - 230 (Gas) = 629.75 (Subtotal)

Answer:

circumference of the cake board = 109.9 cm

Step-by-step explanation:

diameter of cake = 30cm

diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm

radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm

radius of cake board = 17.5 cm

circumference of a circle = 2 × π × r    (where π = 3.14)

circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm

Therefore the circumference of the cake board = 109.9 cm

Answer:

35pi

Step-by-step explanation:

brainliest maybe?

Answer:

Step-by-step explanation:

4 ft

Answer:

Step-by-step explanation:

4 ft

brainliest pls i need it :,)

Answer

i can't see the image can you post it again.

Step-by-step explanation:

Answer:

29 + 64 =x which is 93 for question 2

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

In any triangle, the sum of the measures of the angles is 180 degrees.

(5x + 5) + (x + 16) + (2x + 7) = 180

Combine like terms.

8x + 28 = 180

8x = 152

x = 19

Answer:

16

Step-by-step explanation:

Answer:

A. 525.42 inches^3

B. 175.91 mm

Step-by-step explanation:

a. Here we are asked to calculate the volume of the cone given the radius and the height of the cone.

Mathematically, the volume of the cone can be calculated using the formula below;

V = 1/3 * π * r^2 * h

where r is the radius which is 5.1 inches and h is the height of the megaphone = 19.3 inches

Plugging these values, we have;

V = 1/3 * 3.14 * 5.1^2 * 19.3 = 525.42 inches^3

b. Here we are tasked with calculating the height given the value of the volume and the radius.

mathematically, the formula to use is

V = 1/3 * π * r^2 * h

where V = 356,456.2136 cubic millimeter and r is 44mm

plugging these values we have

356,456.2136 = 1/3 * 3.14 * 44^2 * h

h =( 1,069,368.6408)/6,079.04

h = 175.91 mm

Answer:

The solution is 2.5. The problem can be solved using the proportion:  

2

4

=

x

5

Step-by-step explanation:

I hope it makes since =)

Answer:

x = −1, x = 1, and x = - 3

Step-by-step explanation:

hello :

if : x=1      1^3 + 3×1^2 − 1 − 3 =1+3-1-3 =4-4=0......true

if : x=-1     (-1)^3 + 3×(-1)^2 +1− 3 =-1+3.+1-3.=0...true

if : x=3      (-3)^3 + 3×(-3)^2 + 3 − 3 =-27+27+3-3.=0.....true

Answer:

Yes

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

i think 14:6 is correct but im not too sure

Answer:

[tex]\frac{7}{3}=\frac{7n}{3n}[/tex]

n ∈ Z

[tex]\frac{7*(-5)}{3*(-5)}=\frac{7*(-2)}{3*(-2)}=...=\frac{7*8}{3*8}=...=\frac{7*1256}{3*1256}...etc[/tex]

Answer:

[tex]\sqrt{x^{2}-7[/tex]

Step-by-step explanation:

Negative exponents flip the fraction, fraction exponents imply a radical to the denominator's degree, so flip the fraction and take the square root of what is in parentheses

We know that :

[tex]\bigstar \ \ \boxed{\mathsf{a^{-1} = \dfrac{1}{a}}}[/tex]

[tex]\mathsf{Given \ question \ is : \dfrac{1}{(x^2 - 7)^{\frac{-1}{2}}}}[/tex]

Using the above formula, we can write it as :

[tex]\implies \mathsf{\dfrac{1}{\dfrac{1}{(x^2 - 7)^{\frac{1}{2}}}}}[/tex]

[tex]\implies \mathsf{(x^2 - 7)^{\frac{1}{2}}}[/tex]

[tex]\implies \mathsf{\sqrt{x^2 - 7}}[/tex]

Answer:y=4

Step-by-step explanation:

2(5y-2)=12+6y

10y-4=12+6y

4y-4=12

4y=16

y=4

Answer:

the answer is 16/97

Answer:~0.9998

Step-by-step explanation: cos T = side adj. to angle t / the hypotenuse

Cos t = 56/65 ~ 0.998

Answer:

7/6

Step-by-step explanation:

sum of 1/2 & 8/12 = 1/2 + 8/12

= 7/6

Answer:

Factor:

9x2 – 64

=(3x+8)(3x−8)

3x – 8

Answer:

i believe the perimeter is 36 im sorry if its not correct

Step-by-step explanation:

simple adding

Answer:

(b) 15/50

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

There are 25+15+10 = 50 small balls.

Of those, 15 are blue.

Probability of taking a blue ball:

15/50

This means that (b) is the correct answer.

Answer:

work is shown and pictured

Answer:

10 and 2

Step-by-step explanation:

10+2=12

10 is even

2*2=4  10-4+6

Hope this helps ! :)

Answer:

496000$

Step-by-step explanation:

Answer:

C. 2512

Step-by-step explanation:

First,you do

3.14 x 10 x 8

25 12 cubic centimeters

By using the formula for the volume of a cylinder, we will see that the volume of the mug is 502.4 cm^3

For a cylinder of radius R and height H, the volume is:

V = pi*R^2*H

In this case, we know that H = 10cm, and the diameter is 8cm, then the radius is half of that:

R = 8cm/2 = 4cm

Replacing that in the volume equation we get:

V = 3.14*(4cm)^2*10cm = 502.4 cm^3

So the correct option is B.

If you want to learn more about volume, you can read:

https://brainly.com/question/1972490

Answer:

1/4 or .25

Step-by-step explanation:

8x =2

Divide by 8 on both sides

8x=2

__. ___

8.     8

x = 2/8=1/4 or .25

Answer: x equals 1/4 or 25% or 0.25

Answer:

2.5

Step-by-step explanation:

2/3 *(3+3/4)=2.5

Answer:

[tex]\frac{5}{2}[/tex] or [tex]2\frac{1}{2}[/tex] or 2.5

Step-by-step explanation:

[tex]\frac{2}{3}*3\frac{3}{4}[/tex]

Convert [tex]3\frac{3}{4}[/tex] to an improper fraction. You can do this by multiplying the whole number by the denominator and add the numerator; all of this over the same denominator.

[tex]3\frac{3}{4}=\frac{3*4+3}{4} =\frac{12+3}{4} =\frac{15}{4}[/tex]

Now work it out.

[tex]\frac{2}{3}*\frac{15}{4}=\frac{30}{12}=\frac{15}{6}=\frac{5}{2}[/tex]

In case you need a mixed number as the answer, we can convert from improper fraction to mixed number.

5/2=2

4

----

1

the 2 after the equal sign is the big number, the 1 is the numerator and the 2 before the equal sign in the denominator.

[tex]2\frac{1}{2}[/tex]

Answer:

36

Step-by-step explanation:

12x3=36

Lxwxh

Axh

Answer:

18,6,108

Step-by-step explanation:

edge2020