Answer:
90 sq inches
Step-by-step explanation:
The lateral area is the side area of the pyramid. In this case, there are 3 sides because the base is a triangle. Since the base is an equilateral triangle, all sides are of equal dimensions. So, the sides of the pyramid are also all of the same size, area.
We then just have to figure out the area of one of the side triangles, then multiply it by 3 to get the total lateral area of that pyramid.
We know how to calculate the area of a triangle: A = (b * h)/2
In this case, b = 5 in, h = 12 in. So,
TA = (5 * 12)/2 = 60 / 2 = 30
Each side triangle has an area of 30 sq inches.
LA = 3 * TA (since there are 3 sides)
LA = 3 * 30 = 90 sq inches
Answer:
the first one that looks like a star
Step-by-step explanation:
because the shape on the base is a pentagon for the pyramid, and look for another pentagon in the middle of the images in the anwser choice and you find the first one is correct
Acute is a angle of some sort I believe.
Answer:
2.86 quarts ( approx )
Step-by-step explanation:
Given,
The initial quantity of the Mr. Gittleboro's radiator that contains 30% antifreeze = 10 quarts,
Let x quarts of pure antifreeze replaced x quarts of Mr. Gittleboro's radiator to bring it up to a required 50% antifreeze,
So, the quantity of 30% antifreeze radiator after drained off x quarts = (10-x) quarts
Also, the quantity of final antifreeze radiator 50% antifreeze = 10 quarts
Thus, we can write,
30% of (10-x) + 100% of x = 50% of 10
30(10-x) + 100x = 500
300 - 30x + 100x = 500
300 + 70x = 500
70x = 200
x = 2.85714285714 quarts ≈ 2.86 quarts