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lapo4ka [179]
2 years ago
12

A toy is shaped as a triangular prism. The toy has a

Mathematics
1 answer:
Anettt [7]2 years ago
4 0

Answer:

\huge\boxed{\sf h = 6.75 \ in.}

Step-by-step explanation:

<u>Given Data:</u>

Base area = A_{B} = 108 in.²

Volume = V  = 729 in.³

<u>Required:</u>

Height = h = ?

<u>Formula:</u>

V=A_{B}h

<u>Solution:</u>

For h, rearranging formula:

\displaystyle h = \frac{V}{A_{B}} \\\\h =\frac{729 \ in.^3}{108 \ in.^2} \\\\h = 6.75 \ in.\\\\\rule[225]{225}{2}

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Three forces of 300 N in the direction of N30E, 400N in the direction of N60E and
andreyandreev [35.5K]

Split up each force into horizontal and vertical components.

• 300 N at N30°E :

(300 N) (cos(30°) i + sin(30°) j)

• 400 N at N60°E :

(400 N) (cos(60°) i + sin(60°) j)

• 500 N at N80°E :

(500 N) (cos(80°) i + sin(80°) j)

The resultant force is the sum of these forces,

∑ F = (300 cos(30°) + 400 cos(60°) + 500 cos(80°)) i

… … …  + (300 sin(30°) + 400 sin(60°) + 500 sin(80°)) j N

∑ F ≈ (546.632 i + 988.814 j) N

so ∑ F has a magnitude of approximately 1129.85 N and points in the direction of approximately N61.0655°E.

4 0
2 years ago
Ryan spent $26.32 on 8 gallons of gas. How much would he spend for 20 gallons?
nalin [4]
$65.80

$26.32/8=$3.29 for a gallon
$3.29 x 20 = $65.80.

Hope this helps
4 0
2 years ago
Read 2 more answers
|2x| ≤ x + 3
r-ruslan [8.4K]

Answer:

[-1,3]

Step-by-step explanation:

|2x|<x+3

calculate the absolute value

2*|x|<x+3

move < to left

2*|x|-x<3

split into possible cases

2x-x<3, x<0

2*(-x)-x<3, x<0

solve inequalities

[0,3]

[-1,0]

find union

[-1,3]

3 0
3 years ago
Read 2 more answers
What is the value of the xX coordinate that is 9 units to the left and 3 units up from (2, –8)?
stiv31 [10]

Answer:

(-6, -5)

Step-by-step explanation:

If you go left 9 times from 2, it goes to -6. Ex: 2, 1, 0, -1, -2, -3, -4, -5, -6. The same goes for 3 units up from -8.

8 0
2 years ago
Find the equation of the plane through the point p=(5,5,4)p=(5,5,4) and parallel to the plane 5x+2y−z=−6.
Anna35 [415]
The unit normal for the given plane is <5,2,-1>.
The equation of the plane parallel to the given plane passing through (5,5,4) is therefore
5(x-5)+2(y-5)-1(z-4)=0
simplify =>
5x+2y-z=25+10-4=31

Answer: the plane through (5,5,4) parallel to 5x+2y-z=-6 is 5x+2y-z=31
7 0
3 years ago
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