C= 45
All interior angles of a triangle add to 180. 90+45=135. 180-35=45
a= 45
The top angle of the triangle and a make 90 degrees together. 90-45=45
b= 135
Angle a and b together make 180 (they are supplementary). 180-45=135
The length is 32 feet, the width is 10 feet, and the area is 320 feet squared.
EXPLAIN
19.2 divided by 3 is 6.4.
6.4•5=32.
6 divided by 3 is 2.
2•5=10
The room is 32 ft by 10 ft
32•10=320 ft
The area is 320 ft squared
I hope this helped <3
Answer:
$450. The amount Antonio bought the tv for was $450.
Step-by-step explanation:
If all the tv's are 30%, multiple 30 by the price of the tv he wants, giving you 45000. Then, divide by 100 because a percent is out of a hundred, giving you $450
Formula:
(30x1500)/100
Answer:
D) 43.1
Step-by-step explanation:
What we want to do here is find the total volume of the box in cubic inches, then divide it by the number of apples inside. This will tell us how big one apple is in cubic inches.
Box One:
20×13×12 = 3120
3120÷72 apples = 43.3 inches³
Box Two:
12×12×12 = 1728
1728 ÷ 40 = 43.2 inches³
Box Three:
20×10×6 = 1200
1200÷28 = 42.8 inches³
Take those three numbers and find their mean. Add them up and divide by three. You will get 43.1 inches ³.
Answer:
g(x) = 7x² − 56x + 115
Step-by-step explanation:
f(x) = 7x²
This parabola has a vertex of (0, 0).
To shift f(x):
f(x) − k = 7(x − h)²
where h is the horizontal shift and k is the vertical shift.
We want the new vertex to be (4, 3), so we want to shift f(x) 4 units to the right and 3 units up.
g(x) − 3 = 7(x − 4)²
This is in vertex form. We want to write it in standard form. So simplify:
g(x) − 3 = 7(x² − 8x + 16)
g(x) − 3 = 7x² − 56x + 112
g(x) = 7x² − 56x + 115
