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mixas84 [53]
3 years ago
7

Can someone help me with this

Mathematics
1 answer:
VladimirAG [237]3 years ago
8 0

Answer:

  A) 24 ft³

Step-by-step explanation:

The area of the right triangle base is ...

  A = (1/2)(3)(4) = 6 ft²

The volume of the triangular prism is the product of the area of its base (6 ft²) and its height (4 ft).

  V = Bh = (6 ft²)(4 ft) = 24 ft³ . . . . matches choice A

_____

<em>Comment on the triangle</em>

You know the 3-4-5 triangle is a right triangle, because you have seen those numbers many times in relation to the Pythagorean theorem. If you don't know that, then you can check to see by using the Pythagorean theorem:

  5² = 3² +4²

  25 = 9 + 16 . . . . . true; so the triangle is a right triangle

In any event, there are other means for finding the area of the triangle based on the lengths of its sides. You will get the same area result.

Using Heron's formula, s = (a+b+c)/2 = (3+4+5)/2 = 6.

  A = √(s(s -a)(s -b)(s -c)) = √(6(3)(2)(1)) = √36 = 6 . . . . area of base triangle

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P: 2,012
Hunter-Best [27]

El volumen que queda entre la esfera y el cubo es:  30.49cm^3

<h3>¿Como calcular el volume sobrante?</h3>

El volumen sobrante será simplemente la diferencia entre el volumen del cubo y el volumen de la esfera.

Para el cubo que tiene una arista de 4cm, el volumen es:

V = (4cm)^3 = 64 cm^3

Para la esfera con un diametro de 4cm, el radio es:

R = 4cm/2 = 2cm

Y el volumen será:

V' = (4/3)*3.141592654*(2cm)^3 = 33.51 cm^3

El volumen que queda entre la esfera y el cubo es:

V - V' = 64 cm^3 - 33.51 cm^3 = 30.49cm^3

Sí quieres aprender más sobre volumenes:

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5 0
11 months ago
Please help! Help is appreciated! :)
-Dominant- [34]
Your answer to the question is A
4 0
3 years ago
What percent of 30,000 equals 22,500
Brrunno [24]
Divide 22,500 by 30,000 and multiply by 100 as follows:
\frac{22500}{30000}\times100=75%
4 0
3 years ago
Find the sum of the two matrices:
romanna [79]

Answer:

[[5,2],[[4,1],

[3,0]]+[6,7]]

=

[[9,3],

[9,7]]

Step-by-step explanation:

you add 5+4,2+1,6+3,7+0

7 0
3 years ago
Read 2 more answers
Determine whether the quadrilateral is a parallelogram justify your answer.
Kay [80]
SOLUTION:
From the figure, all 4 angles are congruent. Since each pair of opposite angles are congruent, the quadrilateral is a parallelogram by Theorem 6.10.
8 0
3 years ago
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