What is the volume of this right prism? 1200 in³ 1800 in³ 2040 in³ 3600 in³ Right triangular prism. The height of the prism is labeled as 15 in. The base of the prism is a triangle with the base labeled as 30 in., the height labeled as 8 in., and the other 2 sides of the triangle labeled as 17 in.

Please help asap!!!

Answer:

B

Step-by-step explanation:

x² + 9x

to complete the square

add ( half the coefficient of the x- term )² to x² + 9x

= x² + 2([tex]\frac{9}{2}[/tex] )x + ([tex]\frac{9}{2}[/tex] )²

= x² + 9x + [tex]\frac{81}{4}[/tex] ← the value of c

= (x + [tex]\frac{9}{2}[/tex] )² ← a perfect square

Answer:

Step-by-step explanation:

Complementary angles are angles that add up to 90°.

We have C and D as complementary.

Their sum is:

Substitute values and solve for x:

Answer:

x = 7

Step-by-step explanation:

Complementary angles are two angles that sum up to 90°. In this case, we are given that ∠C and ∠D are complementary. This means that the sum of ∠C and ∠D is equivalent to 90°.

⇒ ∠C + ∠D = 90°

⇒ 8x + 5x - 1 = 90°                                                          [∠C = 8x; ∠D = 5x - 1]

⇒ 13x - 1 = 90°

⇒ 13x = 90 + 1

⇒ 13x = 91

⇒ 13x/13 = 91/13

⇒ x = 91/13 = 7

Answer:

option C

Step-by-step explanation:

y = -x + 7

Hope this helps you

Answer:

Step-by-step explanation:

So this is a cylinder

R= 8.75in

h=43.12in

So it will be = 3.14x8.75²x43.12

=> 3.14x76.5625x43.12

3.14x 3301.375

i think it is correct

.

stay safe

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have a nice TIME

Answer:

0.0816

Step-by-step explanation:

Given:

Let O = Students taking an online class

Let B = Students prefer watching baseball to football

Therefore,

P(O) = 1200/5000 = 0.24

P(B) = 1700/5000 = 0.34

If events O and B are independent,

⇒ P(O ∩ B) = P(O) · P(B)

                   = 0.24 × 0.34

                   = 0.0816

Answer:

  D.  $8 per hour

Step-by-step explanation:

The rate of pay is found by dividing the pay by the number of hours it is for.

  $40/(5 h) = $8/h

The worker gets paid $8 per hour.

This can go on forever, we can then establish the recursive formula which states:

t(2)=t(1)+d

t(3)=t(2)+d, but t(2)=t(1)+d

t(3)=t(1)+d+d

t(3)=t(1)+2d

t(4)=t(1)+3d

Apply Pythagorean theorem

Again

Answer:

2√5

Step-by-step explanation:

The given pyramid is composed of two right angle triangles. Notice the triangles of the pyramid share a common side. With the help of it, we can figure out x

recall Pythagoras theorem

[tex] {a}^{2} + { b }^{2} = {c}^{2} [/tex]

here,

To find:

now plug in the value of a and c in the formula respectively:

[tex] {4}^{2} + { b }^{2} = {10}^{2} \\ \implies {b}^{2} = {10}^{2} - {4}^{2} \\ \implies {b}^{2} = 84 \\ \implies \boxed{ b_{1} = 2\sqrt{21}}[/tex]

here,

Utilizing Pythagoras theorem yields:

[tex] {x}^{2} + { 8}^{2} = {(2\sqrt{21})}^{2} \\ \implies {x}^{2} = {(2\sqrt{21})}^{2} - {8}^{2} \\ \implies {x}^{2} = 20\\ \implies \boxed{ x= 2\sqrt{5}}[/tex]

and we're done!

Answer:

The base of this triangle is 2 units wide

Step-by-step explanation:

Your explanation is in the picture shown below!!!

The magnitude and the direction of the vector formed by (4, 6) and (-2, 1) are [tex]\sqrt{85}[/tex] (approx. 9.2 units) and 49.4° north of west. (Correct choice: C)

First, we need to determine the expression of [tex]\overrightarrow {RS}[/tex] by vector sum:

[tex]\overrightarrow{RS} = S(x,y) - R(x,y)[/tex]

[tex]\overrightarrow{RS} = (-2, 1) - (4, -6)[/tex]

[tex]\overrightarrow {RS} = (-6, 7)[/tex]

The magnitude and the direction of the vector are determined by Pythagorean theorem and inverse trigonometric functions, respectively:

[tex]\|\overrightarrow{RS}\| = \sqrt{(-6)^{2}+7^{2}}[/tex]

[tex]\|\overrightarrow{RS} \| = \sqrt{85}[/tex]

θ = tan⁻¹ (7/-6)

θ ≈ 130.601°

The magnitude and the direction of the vector formed by (4, 6) and (-2, 1) are [tex]\sqrt{85}[/tex] (approx. 9.2 units) and 49.4° north of west. (Correct choice: C) [tex]\blacksquare[/tex]

To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/13322477

Answer:

The pairs of lines that do not intersect or meet at any point are called parallel lines. These lines lie on the same plane but do not intersect. The line segments or rays that lie on the same plane but do not intersect are also parallel.

Step-by-step explanation:

Answer

A parallel line is a position of two lines on a plane that does not have a point of intersection even though the two lines are extended.Geometrically, parallel lines will never meet each other because they have the same slope (gradient). Parallel lines do not have to be the same length

Answer:

1.77 Tones = 1770 Kilograms

Step-by-step explanation:

Multiply the value of the tone by 1000 to get KG

1.77 x 1000 = 1770

Step-by-step explanation:

How to rethink the way you choose people in a group is to figure out if they like you or not. Don't chose people that do not like you because they will not work well with you. Pick the people you feel will help you succeed in the group. And sometimes the people you pick in your group aren't even your friend, but they can help you succeed by staying on task and focusing on the task at hand.

Step-by-step answer:

If there are 40% students that are girls , and the rest are 250 boys. Then that must mean there are 60% boys. Because that is the compliment.

i)

Because we know that 60% of the people in the group are boys, and that the amount of boys amounts to 250, we can model an equation like this.

[tex]Total * 0.6 = 250[/tex].

[tex]Total = 250/0.6[/tex]

[tex]Total = 417[/tex]

There are 417 students

ii)

Because we know that the total amount is 417, we can find the amount of girls there are by multiplying the total by the percentage.

[tex]417 * 0.4 = 167[/tex]

There are 167 students that are girls.

Answer:

18.5

Step-by-step explanation:

37 divided by 2 is 18.5

Answer:

$168.75

Step-by-step explanation:

In the morning you'll have a time of about 4 hours.

In the afternoon you'll have 8.5 hours.

You take these and add them together 4 + 8.5 = 12.5

Then you take your sum and multiply it by the wage you make per hour 13.50 x 12.5 = $168.75

Answer:

Option C :- 7.5x + 8.1

Step-by-step explanation:

Let's simplify step-by-step.

4.5x+3.1−(−3x−5)

Distribute the Negative Sign:

=4.5x+3.1+−1(−3x−5)

=4.5x+3.1+−1(−3x)+(−1)(−5)

=4.5x+3.1+3x+5

Combine Like Terms:

=4.5x+3.1+3x+5

=(4.5x+3x)+(3.1+5)

=7.5x+8.1

Answer:

=7.5x+8.1

Answer:

A. credit card

Step-by-step explanation:

When using a credit card, the bank is paying for you. Overtime through bills you will pay that amount back usually with interest.

Answer:

Step-by-step explanation:

Calculate the area of the larger and smaller rectangle and subtract the smaller from the larger.

The formula of an area of a rectangle a x b:

A = a · b

Smaller rectangle 5 x 7:

As = 5 · 7 = 35

Larger rectangle (2 + 5) x (7 + 3) → 7 x 10:

Al = 7 · 10 = 70

The area of the shaded region:

A = Al - As

substitute:

A = 70 - 35 = 35

Answer:

7

Step-by-step explanation:

do what is in the parenthesis first then multiply then add

Answer:

$125 you will end up w/ $5125

Step-by-step explanation:

Answer:

Jada fills her aquarium with water at a constant rate of 5cm/minute for 2 minutes. She then stops the water from running for 1 minute. After that, she started to fill the aquarium at a constant rate of 10cm/minute for another 2 minutes. After 5 minutes, she reduces the water running at a rate of 5cm for 2 minutes. After 7 minutes, she turns off the water and the water is at 25cm.

Answer:

3.8 + 9?

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

The measure of the inscribed angle is half of measure of the intercepted arc .

Find the half of 192.

192/2 = 96

The inscribed angle is 96°.

Create an equation and solve for x.

31x + 3 = 96

31x + 3 - 3 = 96 - 3

31X = 93

31x/31 = 93/31

x = 3

Answers:

1) [tex]\sf \boxed{1} \ x^2 + \boxed{2} \ x -24[/tex]

2) [tex]\sf \boxed{2} \ x^2+ \boxed{-1} \ x-15[/tex]

3) [tex]\sf \boxed{6} \ x^2+\boxed{19} \ x+10[/tex]

4) [tex]\sf \boxed{2} \ x^2+\boxed{-11} \ x+5[/tex]

solving step wise:

1)

2)

3)

4)

#1

#2

#3

#4

[tex]x+y = 5~~...(i)\\\\2x-y = 1~~...(ii)\\\\\text{From (i):}\\\\x+y = 5\\\\\implies x = 5-y~~~.....(iii)\\\\\text{Substitute equation (iii) in equation (ii):}\\ \\2(5-y)-y = 1\\\\\implies 10 - 2y -y = 1\\\\\implies 3y = 9\\\\\implies y = \dfrac 93 = 3\\\\\text{Substitute y= 3 in equation (iii):}\\\\x= 5-3 = 2\\\\\text{Hence,}~ (x,y) = (2,3)[/tex]

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(2,3)

Equation Form:

x = 2, y = 3

Step-by-step explanation:

Answer:

142 cm squared

Step-by-step explanation:

the formula used was 2(lw + wh +lh)

where l is length

w is width

and h is height

Answer:

142

Step-by-step explanation:

5 x 3 = 15 Times by 2 = 30

7 x 5 = 35 Times by 2 = 70

7 x 3 = 21 Times by 2 = 42