Answer:
Step-by-step explanation:
Use Pythagoras’ theorem
square of hypotenuse = sum of squares of two other sides
let the missing side be d
30^2 = 20^2 + d^2
600 = 400 + d^2
d^2 = 200
d = square root of 200
d = 14.142 cm
Step-by-step explanation:
Multiply $78 by by 65/100 to determine the original price.
78 can be put over 1.
<u>Multiply</u><u>:</u>

<u>Simplify by dividing the numerator and denominator by 100:</u>

The original price was $50.70.
Answer:
$10 + $10 + $1 + 25¢ + 5¢
or
$20 + $1 + 25¢ + 5¢
Step-by-step explanation:
Each one must pay $21.30
Answer:
14. 2384 in²
15. 291.8 in²
Step-by-step explanation:
14. The total surface area consists of the area of two equal triangles and three rectangles.
The area of each triangle is
, which is
. The area of both triangles combined is 336 in².
The area of each of the slanted rectangles is base x height, which is 25x32=800 in². The area of both rectangles combined is 1600 in².
The area of the base rectangle is 14x32=448 in².
Therefore, to find the total surface area, you add the area of each side together: 336+1600+448=2384 in².
15. The equation for the surface area of a cylinder is
.
The radius (r) is 4.6 in and the height (h) is 9.1 in.
Therefore, the surface area is:
in²
Answer:
As shown in picture, this circle has radius 1.5 and passes (0, 1.5)
=> According to the general form of equation of circle that has radius r and passes (a, b): (x - a)^2 + (y - b)^2 = r^2, we have:
x^2 + (y - 1.5)^2 = 1.5^2
<=>
x^2 + (y - 1.5)^2 = 2.25
Hope this helps!
:)