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diamong [38]
3 years ago
15

Find the volume of the triangular prism described below.

Mathematics
1 answer:
Luda [366]3 years ago
8 0

The volume of the prism 121.6 cube in.

Step-by-step explanation:

Given,

The base is right angle triangle whose two sides are equal.

So,

Base (b) = 8 in

Another side of right angle triangle (l) = 8 in

Height (h) of the prism = 3.8 in

To find the volume of the prism.

Formula:

V = \frac{1}{2}bhl

Now,

V = \frac{1}{2}×8×8×3.8 cube in

= 121.6 cube in.

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The area of the region between the lines y = x + 6, x = 1 and y = 0 is:
Ilya [14]

9514 1404 393

Answer:

  B.  49/2 units squared

Step-by-step explanation:

The area is that of a triangle 7 units wide and 7 units high. Its area is given by the formula ...

  A = 1/2bh

  A = (1/2)(7 units)(7 units) = 49/2 units squared

8 0
4 years ago
Solve for y<br> 5/8y = -1
dedylja [7]

Answer:

y = -8/5

Step-by-step explanation:

Step 1: Write equation

5/8y = -1

Step 2: Solve for <em>y</em>

  1. Divide both sides by 5/8: y = -8/5

Step 3: Check

<em>Plug in y to verify it's a solution.</em>

  1. Substitute: 5/8(-8/5) = -1
  2. Multiply: -40/40 = -1
  3. Divide: -1 = -1
6 0
3 years ago
Una escuela compró varios ejemplares del libro A, que cuesta $200.00, y del libro B, que cuesta $150.00. Compró en total 120 lib
erma4kov [3.2K]

Responder:

Copias del libro A = 50

Copias del libro B = 70

Explicación paso a paso:

Costo por libros A = 200

Costo por libro B = 150

Sea el número de libros A = x

Número de libros B = y

Número total de libros comprados = 120

Costo total = 20,500

x + y = 120 - - - (1)

200x + 150y = 20500 - - - (2)

De 1)

x = 120 - y

Sustituya x = 120-y en (2)

200 (120 - años) + 150y = 20500

24000 - 200y + 150y = 20500

24000 - 50y = 20500

-50 años = 20500 - 24000

-50y = - 3500

y = 70

x = 120 - y

x = 120 - 70

x = 50

3 0
4 years ago
A flagpole broke in a storm. It was originally 81 feet tall. 28 feet are still sticking straight out of the ground, where it sna
Nina [5.8K]
Hidden right triangle
28 feet tall (1 leg)
the piece that fell over is the hypotonuse
last leg is what we need to find

81-28=53


a²+b²=c²
a and b are legs and c is the hypotonuse

given
on leg is 28 and the hypotonuse is 53
th othe leg is b
28²+b²=53²
784+b²=2809
minus 784 from both sides
b²=2025
sqrt both sides
b=45

answer is 45ft
4 0
3 years ago
Read 2 more answers
How many angles are alternate interior angles with angle 9?
Svetradugi [14.3K]

Answer:

Angle 7 and angle 15

Step-by-step explanation:

  • <em>Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.</em>

Alternate interior angles with angle 9 are:

<u>Transversal s, parallel lines are t and u,</u>

  • Angle 9 is in pair with angle 7

<u>Transversal u, parallel lines are s and r,</u>

  • Angle 9 is in pair with angle 15

8 0
3 years ago
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