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Answer:

33.75

Step-by-step explanation:

The volume of a right triangle prism is 33.75 cubic feet which is 5 feet tall.

It is given that the prism is 5 feet tall whose base is a right triangle with leg lengths of 3/2 feet and 9 feet.

It is required to find the volume of the prism.

It is defined as a three-dimensional space enclosed by an object or thing.

We have 5 feet tall prism ie.

height of the prism h = 5 feet

and base b = 3/2 feet

and length = 9 feet

We know the volume of the right triangle prism is given by:

[tex]\rm V = \frac{b\times h\times l }{2}[/tex]

Putting the values of b, h, and l, we get:

[tex]\rm V =\frac{\frac{3}{2} \times 5\times 9}{2}[/tex][tex]\rm V = \frac{3 \times 5\times 9}{2\times2} \Rightarrow \frac{135}{4}[/tex]

V = 33.75 cubic feets

Thus, the volume of a right triangle prism is 33.75 cubic feet which is 5 feet tall.

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Answer:

A

angle 1 + angle 4 is equal to 180

if angle 4 = 127, angle 1 must equal 53

Step-by-step explanation:

Answer:

-2x-6

Step-by-step explanation:

Distribute -2x -2(3) = -2x-6

Volume = base area x tall

base area = π x (1.8in)²

base area = 10.179 in²

Volume = 10.179 in² x 6.7 in

Volume = 68.198 in³

the volume is 68.198 in³

Answer:

[tex]n^{2}[/tex]

Step-by-step explanation:

1, 4, 9, 16

1=[tex]1^{2}[/tex]

4=[tex]2^{2}[/tex]

9=[tex]3^{2}[/tex]

16=[tex]4^{2}[/tex]

so, the fifth term is [tex]5^{2}[/tex] = 25

Answer:asdjf;alksjdf;oajfeowijf;askf;oiasjef;awejf;oaisejf;awe;ifo

Step-by-step explanation:

Answer: 75.108

Step-by-step explanation:

1 gallon is 8.3454 lb so multiply by 9 to get the answer

8.345*9= 75.105 lbs

So there are 75 lbs in 9 gallons

Answer:

4

Step-by-step explanation:

To find the y-intercept, plug 0 in for 'x' and solve for 'y'.

y = -0 + 4

y = 4

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the inequalities.

==> -2z +10z -7 > = 2z -9z -4

=> 8z - 7 >= -7z -4

=> 8z +7z >= -4+7

=> 15z >= 3

=> z >= 3/15

===>

[tex]z \: \geqslant \frac{1}{5} [/tex]

Answer:

x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

24−4x=2x

24+−4x=2x

−4x+24=2x

Step 2: Subtract 2x from both sides.

−4x+24−2x=2x−2x

−6x+24=0

Step 3: Subtract 24 from both sides.

−6x+24−24=0−24

−6x=−24

Step 4: Divide both sides by -6.

−6x /−6  = −24 /−6

x=4

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the linear equations.

==> 24-4x=2x

==> 24 = 2x+4x

==> 24 = 6x

===> x = 24/6

===> x = 4

Answer:

4

Step-by-step explanation:

To find the side length of the original triangle:

24/3=8 (because it is an equilateral triangle).

Because the triangle is dilated by a factor of 0.5 and the triangle is equilateral, the side lengths of the new triangle is

8*0.5=4

Answer: Each classmate got 9 pencils

Step-by-step explanation: if you divide 8 from 75, you get 9 pencils for each classmate and 3 for Jessica to keep.

The number which will give 72  as its 45%  will be 160 .

Given,

72 is 45% of which number .

Here,

Let the number be x .

Now forming the equation to ger the desired value of x .

45 % of x = 72

45/100 of x = 72

9/20 of x = 72

x/20 = 8

x = 160 .

Thus the number whose 45% is 72 is 160 .

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Answer:

15

Step-by-step explanation:

9/6=x/10

why? they segments are similar

Answer:

40+8w=0

8w=-40

w=-40/8

w=-5

Answer:

It's 60 in

Step-by-step explanation:

P = 4s

P = 4 x 15

P = 60 in

Given:

The given statement is "A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle."

To find:

Whether the given statement in true or false.

Solution:

Area of circle is

[tex]A=\pi r^2[/tex]

Where, r is the radius of the circle.

Let [tex]r_1[/tex] be the radius of the original circle. So, the area of the circle is

[tex]A_1=\pi (r_1)^2[/tex]

The circle is dilated by a scale factor of 1.5 to create a new circle. So, the radius of the new circle is:

[tex]r_2=1.5r_1[/tex]

The area of the new circle is

[tex]A_2=\pi (r_2)^2[/tex]

[tex]A_2=\pi (1.5r_1)^2[/tex]

[tex]A_2=2.25\pi (r_1)^2[/tex]

[tex]A_2=2.25A_1[/tex]

The area of the new circle is 2.25 times the area of the original circle.

Therefore, the given statement is false.

Answer:

38

Step-by-step explanation:

180-42

Answer:

38

Step-by-step explanation:

A + 142 = 180 {Linear pair}

         A = 180 - 142

        A = 38

Answer:

15x^2+5x^3+9

Step-by-step explanation:

(7x^2+8x^2)+5x^3+9

15x^2+5x^3+9

Answer:

120ft

Step-by-step explanation:

8 x 3 x 5

Answer: Annual Income Is $192000

Step-by-step explanation:

firstly know one month income we divide by 48000 by 3

= 16000

we know one month income 16000

than we for know annual income we multiply by 12

16000×12 =192000

annual income is $192000

Answer:

One property of rectangles is that the diagonals of rectangles bisect each other, meaning 2 of JN is equal to JL.

We can form an equation off of this, 2(x+3) = 3x + 1 and then solve for x    

2(x+3)= 3x + 1                     First, distribute the 2 to each term in x+3,

the result should be:

2x + 6 = 3x+ 1          then subtract 2x from both sides

-2x        -2x

the result should be :

 6 = x + 1             subtract 1 from both sides

-1         -1

the result should be x=5

plug that into the equations and JN= 5+3, JL=15+1

The two correct options are

NM = 8  ( both of the diagonals are equal to eachother )

JL = 16

Answer:

a square

Step-by-step explanation:

a square is a parallelogram whose sides are all the same length

Answer:

square

Step-by-step explanation:

a square has 4 sides with all the same length

Answer:

haha i know this riddle

Step-by-step explanation:

there is a guy and he has had a son, and his son has also had a son, so there are technically 3 guys, but 2 fathers and 2 sons

Step-by-step explanation:

When you divide by a number, you basically are multiplying by the reciprocal

The reciprocal of 2 is 1/2

4/10 ÷ 2 = 4/10 × 1/2 = 2/10

4/10 × 1/2 = 2/10

Using a number line,

Start at 4/10 and move down by 2 until you reach 0

Start at 4/10 and move up by 1/2 from 0 until you reach 4/10

(Count the number of humps)

Both will be the same

Answer:

Must save 8 weeks or more to purchase the bike.

Step-by-step explanation:15*w >= 120 where W is the number of weeks.

w >= 120/15 = 8

You need to save $15 every week for the next 8 weeks in order to purchase the bike.

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given is that you save $15 per week to purchase a bike that costs $120.

Assume that you need [w] weeks to save $120 for the bike.

Amount earned per week [A] = $15

Amount earned in [w] weeks [W] = $15w

Money needed [R] = $120

The inequality can be written as -

[W] ≥ [R]

We can write it as -

15w ≥ 120

Solving the inequality, we get -

15w/15 ≥ 120/15

w ≥ 8

Therefore, you need to save $15 every week for the next 8 weeks in order to purchase the bike.

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Answer:

1

Step-by-step explanation:

Two ordered pairs that can be seen are (0,1) and (1,2)

Using delta y/ delta x,

(2-1)/(1-0) = slope

slope = 1/1

slope = 1

Answer:

slope = 1

Step-by-step explanation:

To find the slope of the line, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], in which [tex]m[/tex] represents the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, while the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point.

Thus, locate two points on the line. We can see that the line intersects (-1,0) and (0,1), thus we can use them for the formula. (Any other two points that are also on the line will also work.) Substitute their x and y values into the appropriate places in the formula and solve:

[tex]m = \frac{(1)-(0)}{(0)-(-1)}\\m = \frac{1-0}{0+1} \\m = \frac{1}{1} \\m = 1[/tex]

Thus, the slope is 1.