Answer:
2880
Step-by-step explanation:
The base is made up of two triangles and a square, if that makes sense. Finding the area of a triangle is (base x height)/2.
The base of the tiny triangle is 4 because there is 8 inches extra to the 10 inch square. <u>10 x 4 = 40.</u>
Now we have a 10 by 10 square: <u>10 x 10 = 100. </u>
So, the area of the trapezoid is 140. There are two trapezoids in this prism, so both bases are 280.
The surface area of the sides are solved by <u>12 x 50 = 600. </u>Together, the sides equal 1200.
The top is solved by <u>10 x 50 = 500.</u>
The bottom is solved by <u>18 x 50 = 900.</u>
Add them all together: 280 + 1200 + 500 + 900 = 2,880
Carlita was either sipping the hot chocolate while she was out, or else
approximating the numbers. The exact number she reported is not
possible. To see why, I'll do it strictly by the math:
Robins = 5 times
Cardinals = 1 time
Total birds = 6 times
6 times = 25 birds
Divide each side by 6 : 1 time = 25/6 = 4-1/6 birds
Robins = 5 times = 20-5/6 of them
Cardinals = 1 time = 4-1/6 of them
Total: (20-5/6) + (4-1/6) = 25 birds.
How many more robins than cardinals = (20-5/6) - (4-1/6) = 16-2/3 more.
The math works out fine. But if the numbers she reported are true,
then some of what she saw was partial birds ... legs, or feathers,
things like that. Eeeew. I don't want to talk about it.
Answer:
84 cm^2
Step-by-step explanation:
Area of triangle + area of rectangle
Area of triangle = 1/2*l*b
= 1/2*8*3= 12 cm^2
Area of rectangle = l*b
= 12*6 = 72 cm^2
Total area= 72+12
= 84 cm^2
Answer:
<u>x = √51</u>
Step-by-step explanation:
The given figure is a <u>right triangle</u>.
<u>Using the Pythagorean Theorem to find x</u>
- (Altitude 1)² + (Altitude 2)² = (Hypotenuse)²
- (7)² + x² = (10)²
- 49 + x² = 100
- x² = 51
- <u>x = √51</u>
