Everythings in the picture!

Given:

The base of the prism is a right triangle with legs 1 m and 2 m.

The height of the prism is 17 m.

To find:

The volume of the given prism.

Solution:

The area of a triangle is:

[tex]Area=\dfrac{1}{2}\times base\times height[/tex]

So, the area of base of the prism is:

[tex]Area=\dfrac{1}{2}\times 1\times 2[/tex]

[tex]Area=1[/tex]

Now, the volume of the prism is:

[tex]V=Bh[/tex]

Where, B is the base area and h is the height of the prism.

Substituting [tex]B=1,h=17[/tex], we get

[tex]V=(1)(17)[/tex]

[tex]V=17[/tex]

The volume of the prism is 17 cubic m. Therefore, the correct option is (d).

If the teacher isn't putting the names back in the hat then it would be 1/21 if she is then 1/23

Answer:

(x - 3)(x - 12)

Step-by-step explanation:

Assuming you require to factor the expression

x² - 15x + 36

Consider the factors of the constant term (+ 36) which sum to give the coefficient of the x- term (- 15)

The factors are - 3 and - 12, since

- 3 × - 12 = + 36 and - 3 - 12 = - 15 , then

x² - 15x + 36 = (x - 3)(x - 12) ← in factored form

Answer:

B (or top right)

Step-by-step explanation:

The equation is written using the y = mx + b format.

m = slope

b = y-intercept

Answer:

Step-by-step explanation:

hello : x = -0.75

[tex]\mathbb{ANSWER:}[/tex]

[tex]\sf \frac{-3-\sqrt{2} }{3\sqrt{17} }[/tex]

[tex]\sf = \frac{-3-\sqrt{2} }{3\sqrt{17} } \cdot \frac{\sqrt{17} }{\sqrt{17} }[/tex]

[tex]\sf = \boxed{\sf \frac{-3\sqrt{17} - \sqrt{34} }{51} }[/tex]

Answer:

6 gallons and 2 pints

Thank for posting the pic, it makes sense now!

Answer:

A, f = 4

Step-by-step explanation:

f + 8 ≤ 12

-8       -8

f ≤ 4

Answer:

The answer is 4

Step-by-step explanation:

this is because the line under the greater than symbol can also mean equal since it has a line under it 8 + 4 = 12 = 12

Answer:

1050 ways

Step-by-step explanation:

Total Number of red balls = 5

Total Number of blue balls = 5

Total Number of white balls = 7

Number of red balls selected = 3

Number of blue balls selected = 4

Number of red balls selected = 5

Using the multiplication and combination relation :

nCr * nCr * nCr

Red balls = 5C3

Blue balls = 5C4

White balls = 7C5

Using calculator:

5C3 * 5C4 * 7C5 = 10 * 5 * 21

(10 * 5 * 21) = 1050 ways

Answer:

36 problems correctly

Step-by-step explanation:

48*.75

Answer:

36

Step-by-step explanation:

Step-by-step explanation:

a. false

b.true

c.false

d. false

Answer:

a. False

b. True

c. True

d. False

Step-by-step explanation:

The formula for the area of a trapezoid treats the distance between the parallel sides as the height. Doing this lists the height as 4m.

You can separate a trapezoid into a rectangle with a width of 3 and a height of 4, as well as a right triangle with a width of 2 and a height of 4.

This expression is the written out portion of separating the trapezoid into a triangle and rectangle.

(3 * 4) represents the rectangle and (1/2 * 2 * 4) represents the triangle.

The area as found by the accurate expression in part C is 16.

Answer:

110°

Step-by-step explanation:

Since angle B is 30° and the ratio of a to b is 2:1, multiply 30 by 2 to get the measure of angle a = 60°.

Since angles a is 60° And the ratio of a to c is 3:1, divide 60 by 3 to get the measure of angle c = 20°.

add them up:

60 + 30 + 20 = 110°

Answer:

Step-by-step explanation:

8 exponent 2 + 2 = 64 + 2 = 66

Answer:

8^2+2

=8*8+2 [8^2=8*8]

=64+2

=66

Step-by-step explanation:

The square of a number is equal to the number my multiplied by itself 2 times i.e. n*n=n^2. Using BODMAS (Brackets of Division, Muliplication, Addition and Subtraction), we should multiply 8 first, then add 2 to it.

Answer:

the total number of boxes being loaded is 1,200 trucks

Step-by-step explanation:

Given that

There are 48 boxes that should be loaded onto a truck

And, still it is required to lead 96% of the boxes onto the truck

We need to find out the total number of boxes that should be loaded

So

Since 48 boxes represent the 4% of the boxes that are loaded

So,

The total number of boxes would be

= 48 × 100 ÷ 0.04

= 1,200 trucks

Hence, the total number of boxes being loaded is 1,200 trucks

Answer:A≈50.27in²

Step-by-step explanation:

Answer:a symbol, usually a letter, used to represent a number.

Step-by-step explanation:

a math process (like adding, subtracting, multiplying, or dividing)

Answer:

this pdf is not downloading .

no idea what to do now .

can you give question on comments

Answer:

x = number of wheelbarrow = 40

y = number of wagon = 30

Step-by-step explanation:

Let

x = number of wheelbarrow

y = number of wagon

x + y = 70 (1)

x + 4y = 160 (2)

subtract (1) from (2) to eliminate variable x

4y - y = 160 - 70

3y = 90

y = 90/3

y =30

Substitute y = 30 into (1)

x + y = 70 (1)

x + 30 = 70

x = 70 - 30

x = 40

x = number of wheelbarrow = 40

y = number of wagon = 30

Answer:

200

Step-by-step explanation:

Answer:

10k+15/5

Step-by-step explanation:

Answer:

|-5| > |3|

because the absolute value of -5 is five which is greater than 3

Answer:

B.

Step-by-step explanation:

Answer:

56.25 π cm^2

Step-by-step explanation:

The circumference of a circle is given by C = 2 π r

15 π = 2 π r

Divide each side by π

15 = 2r

Divide by 2

15/2 = 2r/2

7.5 = r

We want to find tha area

A = π r^2

A = π (7.5)^2

A = π 56.25

A = 56.25 π

Answer:

Step-by-step explanation:

173-10+3(25+1)=241

238-9=229

238-7=231

118-7=111

118-9=109

Given:

The equation is:

[tex]3x-8y=k[/tex]

It cuts the x-axis and y- axis at the point A and B respectively.

The area of ∆AOB =12 sq.units.

To find:

The value of k.

Solution:

We have,

[tex]3x-8y=k[/tex]

Substituting [tex]x=0[/tex] to find the y-intercept.

[tex]3(0)-8y=k[/tex]

[tex]0-8y=k[/tex]

[tex]y=\dfrac{k}{-8}[/tex]

[tex]y=-\dfrac{k}{8}[/tex]

Substituting [tex]y=0[/tex] to find the x-intercept.

[tex]3x-8(0)=k[/tex]

[tex]3x-0=k[/tex]

[tex]x=\dfrac{k}{3}[/tex]

Area of a triangle is:

[tex]A=\dfrac{1}{2}\times base\times height[/tex]

The height of the ∆AOB is [tex]OB=\dfrac{k}{8}[/tex] because distance cannot be negative and the base of the ∆AOB is [tex]OA=\dfrac{k}{3}[/tex]. So, the area of the ∆AOB is:

[tex]A=\dfrac{1}{2}\times \dfrac{k}{8}\times \dfrac{k}{3}[/tex]

[tex]A=\dfrac{k^2}{48}[/tex]

It is given that, the area of ∆AOB = 12 sq.units.

[tex]\dfrac{k^2}{48}=12[/tex]

[tex]k^2=576[/tex]

[tex]k=\pm \sqrt{576}[/tex]

[tex]k=\pm 24[/tex]

Therefore, the value of k is either 24 or -24.

Answer:

58 percent is one of them

Step-by-step explanation:

105 freshman divided by 180 students total

1.) 3x

2.) area

3.) six

4.) 3/2

:)

Answer:

The height of the pyramid can be represented as

3x

The

area

of an equilateral triangle with length

The area of the hexagon base is

six

The volume of the pyramid is

3/2

Step-by-step explanation:

Answer:   6  1/8

Step-by-step explanation:

Each x on the line represents one piece of string that long. For example, since there is one x at 1/8, she cut one piece of string 1/8 ft long. So you take all the values and add them up:

1/8+2/4+2/4+2/4+2/4+5/8+3/4+3/4+7/8

then find a common denominator (so make everything over 8)

1/8+4/8+4/8+4/8+4/8+5/8+6/8+6/8+7/8    =      41/8

when you divide this, you will get 5 1/8

since theoriginal problem says she still has 1 foot leftover, you add one to get the total value when she started.

So, Emma had 6 1/8 ft string originally