Answer:
360 cm^2
Step-by-step explanation:
Find the area of each face of the triangular prism.
Imagine the triangular prism as its net, it is composed with 2 triangular faces (these are tye bases of the prism) and 3 rectangular faces.
Areas of the 2 triangular bases (they are similar triangles):
1/2 x 8 cm x 6 cm = 24 cm^2
24 x 2 = 48 cm^2
Area of the rectangular face:
8 x 13 = 104 cm^2
Area of another rectangular face:
6 cm x 13 cm = 78 cm^2
Area of another rectangular face:
13 cm x 10 cm = 130 cm^2
Add up all the areas of all faces:
48 + 104 + 78 + 130 = 360
So the SA is 360 cm^2
Answer:
12.9 yd
Step-by-step explanation:
It helps if you draw a triangle. Draw a horizontal segment. That is the ground. Now at the left end start a new segment that goes up to the right at approximately 15 degrees until it its other endpoint directly above the right endpoint of the horizontal segment. Connect these two endpoints. The vertical side on the right shows the height of the kite. The hypotenuse is the string.
For the 15-deg angle, the height of the triangle is the opposite leg, and the string is the hypotenuse. The trig ratio that relates the opposite leg tot he hypotenuse is the sine.
You have to round it to the nearest hundreds
1. Let hardcover books = X
Paperback books would be 4x -3 ( 3 less than 4 times)
Now you have:
X + 4x-3 = 447
Simplify:
5x - 3 = 447
Add 3 to each side:
5x = 450
Divide both sides by 5:
x = 450/5
x = 90
He has 90 hardcover books.
2. 300 miles / 25 miles per gallon = 12 gallons of gas.
12 gallons x $$ per gallon = $48 dollars
3. Subtract base pay from total:
1916 - 800 = 1,116 worth of commissions.
Divide commissions by percentage:
1116 / 0.09 = $12,400 total sales.
4.
Find the median of the heights: 65-50 = 15. 15/2 = 7.5
Median = 50+7.5 = 57.5
The equation would be |h-57.5| < 7.5
