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2 years ago

What is the volume of the triangular prism below?

Mathematics

1 answer:

RoseWind [281]2 years ago

3 0

B is the correct answer

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X/w = z/y². solve for y

jek_recluse [69]

Answer:

Step-by-step explanation:

We can simplify (cross multiply) to get $xy^2=wz$

Then we easily simplify to get $y=\sqrt{\frac{wz}{x}},\:y=-\sqrt{\frac{wz}{x}};\quad \:w\ne \:0,\:x\ne \:0$

8 0

3 years ago

Find the value of x.

hichkok12 [17]

<h3>Angles sum up to:</h3><h3>( n - 2 ) × 180 = ( 5 - 2 ) × 180 = 3 × 180 = 540</h3>

$x + 4x + 4x + 135 + 135 = 540$

$9x + 270 = 540$

$9x = 540 - 270 \\ 9x = 270$

$x = \frac{270}{9} = 30$

8 0

1 year ago

A school is arranging a field trip to the zoo. The school spends 635.85 dollars on passes for 43 students and 2 teachers. The sc

aalyn [17]

Answer:

$22.67

Step-by-step explanation:

The school spends 635.85 dollars on passes for 43 students and 2 teachers, then the school spends

$\$635.85 :(43+2)=\$14.13$ per person.

The school also spends 367.22 dollars on lunch for just the students, so the school spends

$\$367.22 :43=\$8.54$ per person.

In total, a pass and lunch for each student was spent

$\$14.13+\$8.54=\$22.67$

7 0

3 years ago

Please help. I don’t understand and don’t know what do to.

Bingel [31]

9514 1404 393

Answer:

Step-by-step explanation:

The triangles are said to be similar. (ΔNPQ ~ ΔRSQ) That means corresponding sides have the same ratio:

NP/RS = NQ/RQ = PQ/SQ = 24/32 = 21/28 = 3/4

This ratio, or scale factor, also applies to the perimeters of the two triangles.

perimeter NPQ / perimeter RSQ = 3/4

Using the given expressions for the perimeters, we have ...

(7x +2)/(10x -4) = 3/4

We can solve this equation in the usual way to find the value of x. Then we can use that value to find the perimeter of ΔNPQ.

4(7x +2) = 3(10x -4) . . . . . multiply both sides by 4(10x -4)

28x +8 = 30x -12 . . . . . eliminate parentheses

20 = 2x . . . . . . . . . . . add 12-28x to both sides

10 = x . . . . . . . . . . . divide both sides by 10

The perimeter of ΔNPQ is ...

7x +2 = 7(10) +2 = 72

The perimeter of triangle NPQ is 72 units.

7 0

3 years ago

What is the angular velocity of a point that rotates through

ivann1987 [24]

Answer:

Option A

Step-by-step explanation:

Angular velocity of an object is defined by,

Angular velocity (w) = $\frac{\triangle \theta}{\triangle t}$

Here, Δθ = Change in angle of rotation

Δt = Duration or time

In this question Δθ = $\frac{7\pi }{2}$ radians and Δt = 24 seconds

Therefore, angular velocity = $\frac{\frac{7\pi }{2} }{24}$

= $\frac{7\pi }{48}$ radians per second

Option A is the answer.

6 0

3 years ago