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Answer:

A prism is a three-dimensional solid figure with two parallel faces, called bases, that are congruent polygons, and lateral flat faces which are rectangles in a right prism, and are parallelograms in an oblique prism.

Sample response: A triangular prism has a 3-sided base and 3 lateral faces. A rectangular prism has a 4-sided base and 4 lateral faces. The number of sides of the base of a prism is equal to the number of lateral faces of the prism.

 Step-by-step explanation:

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Answer: [tex]432\pi \text{ cubic centimeters}[/tex] or [tex]1356.48\text{cubic centimeters}[/tex]

Step-by-step explanation:

Volume of right circular cylinder = [tex]\pi r^2 h[/tex]

Given: Radius = 6 centimeters

Height = 12 centimeters

Then, the volume of this cylinder = [tex]\pi (6)^2 \times (12)= 432\pi \text{ cubic centimeters}[/tex]

Hence, the volume of this cylinder = [tex]432\pi \text{ cubic centimeters}[/tex]

At [tex]\pi=3.14[/tex]

The volume of this cylinder[tex]=432\times3.14=1356.48\text{cubic centimeters}[/tex]

Answer:

47/9

Step-by-step explanation:

5*9 = 45 +2 = 47

Answer:

The key features needed to determine if these two linear functions intersect would be their y-intercept and their slopes. We need this information because it would allow us to graph these two linear functions, and if we can graph them, we can see if these lines intersect. 

Step-by-step explanation:

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Given:

A line passes through the points (9,9) and [tex](x_2,-1)[/tex].

The slope of the line is [tex]\dfrac{5}{6}[/tex].

To find:

The value of [tex]x_2][/tex].

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The line passes through the points (9,9) and [tex](x_2,-1)[/tex]. So, the slope of the line is:

[tex]m=\dfrac{-1-9}{x_2-9}[/tex]

[tex]m=\dfrac{-10}{x_2-9}[/tex]

It is given that the slope of the line is [tex]\dfrac{5}{6}[/tex].

[tex]\dfrac{5}{6}=\dfrac{-10}{x_2-9}[/tex]

[tex]5(x_2-9)=-10(6)[/tex]

[tex]5x_2-45=-60[/tex]

[tex]5x_2=-60+45[/tex]

[tex]5x_2=-15[/tex]

Divide both sides by 5.

[tex]x_2=-\dfrac{15}{5}[/tex]

[tex]x_2=-3[/tex]

Therefore, the value of [tex]x_2[/tex] is [tex]-3[/tex].

Answer:

35

Step-by-step explanation:

The measure of an inscribed angle whose endpoints are points S and T will be 35°.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The central angle is double the angle at the periphery that was subtended by the same chords.

The central angle of arc ST is 70°.

The measure of an inscribed angle whose endpoints are points S and T is given by the half of the central angle of arc ST. Then we have

Inscribed angle = 70° / 2

Inscribed angle = 35°

The measure of an inscribed angle whose endpoints are points S and T will be 35°.

More about the circle link is given below.

https://brainly.com/question/11833983

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Answer:

(-5, 2)

Step-by-step explanation:

The answer is where the two lines intersect

Water is the Adjacent of this right triangle. 350 yards is the length of the Hypotenuse. We have given angle B, 40 degrees.

_________________________________________________________

According to SOH CAH TOA, we use CAH (cosineΘ = adjacent/hypotenuse).

cosine40 = x/350

[multiply both sides by 350]

350 · cosine40 = x

[put calculator in degree mode]

x ≈ 268 yards

So, the distance across the water from sailboat to the island is 268 yards.

_________________________________________________________

Let's use pythagorean theorem since we already know the adjacent and hypotenuse to find the opposite (opposite is also known as height).

a^2 + b^2 = c^2

a^2 + (268)^2 = (350)^2

a^2 + 71824 = 122500

a^2 = 122500 - 71824

a^2 = 50676

[square both sides]

[tex]\sqrt{a^2}[/tex] = [tex]\sqrt{50676}[/tex]

a = [tex]\sqrt{50676}[/tex]

a ≈ 225

So, the height, opposite, of the lighthouse is 225 yards.

_________________________________________________________

Answer:

4.90

Step-by-step explanation:

Answer:

24x - 36y + 48

Step-by-step explanation:

12 (2x - 3y + 4)

Distribute the term outside of the parenthesis, multiply each term inside the parenthesis by the term outside of the parenthesis.

(12)(2x) - (12)(3y) + (12)(4)

24x - 36y + 48

Answer:

Step-by-step explanation:

Where are the expressions?

Answer:

9/20

Step-by-step explanation:

45/100.

5 is a common factor so simplified = 9/20

Answer: 6

Step-by-step explanation:

Answer:

∠6

Step-by-step explanation:

Answer:

50 \sqrt[]{2} feet

Step-by-step explanation:

Given the vertices  (1, 5) and (11, 15) for the corners labeled with red stars, the diagonal of the square C will be the length of the line joining the two vertices.

Using the Distance Formula:

Since 1 Square Unit = 25 Square Feet

1 Unit =5 feet

Therefore, the length of the diagonal

Answer:

Given the vertices  (1, 5) and (11, 15) for the corners labeled with red stars, the diagonal of the square C will be the length of the line joining the two vertices.

[tex]50 \sqrt[]{2} feet[/tex]

Step-by-step explanation:

Using the Distance Formula:

Since 1 Square Unit = 25 Square Feet

1 Unit = 5 feet

Therefore, the length of the diagonal is, [tex]50\sqrt{2} feet[/tex]

Answer:

B

Step-by-step explanation:

When flipping, the y-levels of E' and F' do not change, meaning that as they are transferred across the y-axis, they keep their parallel to the original points.

Answer: 30%

Step-by-step explanation:

Answer:

the answer is .24

Step-by-step explanation:

when you multiply 0.1 x 2.4 it equals out to .24

0.1 x 2.4= .24

Answer: -2x^2-12x-17

Step-by-step explanation:

-2(x+3)^2+1 Original equation

-2(x^2+3x+3x+9)+1 factor (x+3)(x+3)

-2x^2-12x-18+1 Multiply the factored part by -2

-2x^2-12x-17 Combine like terms

Answer:

64 degrees.

Step-by-step explanation:

We are given that angle QRP is 32 degrees.

We are also given that angle PRS is 84 degrees.

Add those two angles to get the measure of angle QRS.

measure of angle QRS= 116 degrees.

Same-side interior angles are supplementary

So,

116+ angle PQR= 180

subtract both sides by 116.

PQR=64

Therefore the measure of angle PQR is 64 degrees.

I hope this helps

Answer:

Step-by-step explanation:

Parallel lines have the same slope.

Point-slope equation for line of slope 3 that passes through (1,-2):

y+2 = 3(x-1)

Answer:

254.34 ft^2

Step-by-step explanation:

The equation for area of a circle is π*r^2, where r is the radius of the circle. So we do 3.14*9^2 for the answer

Answer:

254.34 ft

Step-by-step explanation:

radius (9)

multiply it by itself (9x9)

so then you get 81

then the two radius squared (81) is multiplied by pi (3.14)

Answer:

Part 1: It is not a valid conclusion to say that track and field sports are more popular than soccer based on the survey. The survey was taken at a track and field event so the people that were surveyed are probably biased.

Part 2: A better way of determining which sport is more popular is by counting how many people show up to each event and comparing the results.  

Step-by-step explanation:

1. -6u= -29-7

-6u÷-6= -36÷-6

u= 6

2. 6m= -23-1

6m÷6= -24÷6

m=-4

3. 4d=37-5

4d÷4=32÷4

d=8

Answer:

4. -6u+7=-29

-6u=-29-7

-6u=-36

-6u=-36

(divide both sides by-6 )

-6u/-6=-36/-6

u=6.

5. 6m+1=-23

6m=-23-1

6m=-24

divide-24 by 6

m=-4

6. 5+4d=37

4d=37-5

4d=32

divide by 4

d=8

Answer:

14000

Explaination:

spwithvat = sp without vat + 13% of sp without vat

let, sp without vat be x.

sp with vat= x + 13% of x.

or, 13447 = x + 13/100 × x

or, 1344700 = 113x

or, x= 1344700/113

x = 11900

Let, mp be y.

sp with vat = mp - 15% of mp

or, 11900 = y - 15/100 × y

or, 1190000 = 85y

or, y= 1190000/85

y= 14000

Step-by-step explanation:

Angle 1 2 and 3 are angles that are in a triangle and all the angles in a triangle always add up to 180

so <1 +<2 +<3=180

Hope that helps :)

Answer:

The answer is " x = - 1 "

Step-by-step explanation:

[tex]9t^{2}[/tex] - 54t + 81 = 36t + 180

^ The you solve the equation

t = 11, t = - 1

^ and then verify the solution

t = - 11 ( False ), t = -1 ( True )

Answer = t = -1

Answer:

B

Step-by-step explanation:

it is a function but not a line

Answer:

b) a nonlinear function

Step-by-step explanation:

it's exponential so it's a nonlinear function.

i hope this is right. p.s. if it helps i really need brainliest :)