Answer: Todd used 27 black tiles.
Step-by-step explanation:
Let x represent the number of black tiles that Todd used.
Todd uses 21 white tiles & some black tiles to make a mosaic. This means that the total number of white and black tiles that Todd used is 21 + x
Each tile has an area of 3 square centimeters. This means that the total area covered by the white tiles is
21 × 3 = 63 square centimeters
Also, the total area covered by the black tiles is
3 × x = 3x square centimeters
The mosaic has a total area of 144 square centimeters. This means that
3x + 63 = 144
3x = 144 - 63
3x = 81
x = 81/3 = 27
Answer:
-12
Step-by-step explanation:
a(b - c)
b = 3, c = -3 and a = -2
-2( 3- -3)
-2(3+3)
-2(6)
-12
Hi there!
In order to solve, we need to use the formula for the area of a circle, and the angle given to find the area of the sector. Then, subtract the area of the triangle to find the area of the segment. We would use the equation : A = x/360 (pi * r^2) - 1/2(b * h). We need to plug in 90 for the angle measurement, 8 for the radius, and 8 for both the base and height.
WORK:
A = 90/360 (pi * 64) - 1/2(64)
A = 1/4(64pi) - 32
A = 16pi - 32 = ~ 18.3ft^2
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
<h2>-3 ; 3</h2>
Step-by-step explanation:
4x² - 36 = 0 ⇌ (2x)² - 6² = 0 ⇌ (2x - 6)(2x + 6) = 0 ⇌ 2x - 6 = 0 or 2x + 6 = 0
⇌ x = 3 or x = -3
