Answer:
212
Step-by-step explanation:
I hope this helps you!
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
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<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
Answer: 176m^2
Step-by-step explanation:
The smaller rectangle is taking up space among the larger one. So in order to find the area of this shaded region, you need to subtract that smaller one from the larger one.
12 x 15 = 180
1 x 4 = 4
180 - 4 = 176m^2
Answer:
x=7/8
Step-by-step explanation:
x/8+3=10
x/8=7
x=7/8
The ratio of apple and cranberry juice is 4:5
The price of 1 pint of apple juice is $0.45
The price of 1 pint of cranberry juice is $0.08
from the ratio given, the price amount of apple juice in the mixture will be:
4/5×0.45=$0.36
the price amount of cranberry juice in the mixture will be:
1/5×0.08=$0.016
the price of the mixture will be given by:
0.36+0.016
=$0.376
