Answer:
the volume of the triangular prism is 1,185.6 in³
Step-by-step explanation:
To find the volume of these triangular prism, we will, first, find the area of the triangle then multiply by the length
Area of triangle = 
× b×h
From the diagram ,the height of the triangle is given to be 10.4 in and the base is given to be 12 in.
We will now proceed to insert the values into the formula;
Area of triangle = × b×h
= × 12×10.4
= × 124.8
=62.4
Area of triangle is 62.4 in²
From the diagram is given to be 19 in
Volume of triangular prism = area of triangular prism × l
=62.4 in² × 19 in
=1,185.6 in³
Therefore the volume of the triangular prism is 1,185.6 in³
part of the whole painting is gold colored.
<u>Solution:</u>
Given that , In art class, Arthur has created a triangle painting 
of his painting is purple.
He decided he wants to Paint 
of the purple area gold
We have to find what fraction of the whole painting will be painting?
Now, part of whole painting is purple
And, part of the purple area is gold ⇒ part of the part of whole painting is gold
Hence, part of the whole painting is gold colored.
6.4 rounded to the nearest whole number will be 6.
if the decimal was 5 or larger, it would’ve been 7.
Answer:
x = 8
Step-by-step explanation:
40 + 6x + 2 = 90 {Complementary angles}
Combine like terms
40+ 2 + 6x = 90
42 +6x = 90 {Subtract 42 form both sides}
6x = 90 - 42
6x = 48 {divide both sides by 6}
6x/6 = 48/6
x = 8
Answer:
12 inches
Step-by-step explanation:
To solve you have to set up a ratio. Because both buildings are being shrunk the exact same amount, you just have to account for the size difference from the miniature and real life. The ratio is 21:3 and 84:x. To find x you just have to cross multiply and solve.
The equation comes out to be 252 = 21x
Divide both sides by 21 to get x.
252/21 = 12
The size of the 84 foot building as a model is 12 inches.
