Answer:
Step-by-step explanation:
3x2.25=6.75
4x4=16
16+6.75=22.75
X^2 - 8x-9=0
D = b^2- 4*a*c = 64- 4* (-9) = 64+36=100 =10^2
X1 = (8-10)/2 = -1
X2= (8+10)/2= 9
Answer: 108 ft³
Step-by-step explanation:
V= 4/3πr³
Facts:
Pi= 3
Diameter = 6
Step1; find the radius
Diameter is the length acaross the whole circle, but the radius is just 1/2 the circle. Therefore, if the diameter is 6, then the radius can be found by finding 1/2 of 6.
1/2 of 6= 1/2x6= 3.
R= 3
Step 2: Plug in the numbers (into the formula)
PEMDAS
(exponents go first)
(then multiply from left to right)
V= 4/3πr³
V= 4/3x3x3³
V= 4/3x3x (3x3x3)
V= 4/3x3x27
V= (4/3x3) x 27
V= 12/3x27
V= 4x27
V= 108
<u><em>Volume= 108 ft³ </em></u>
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Hope this helps :)) Also brainliest would be appreciated, i worked pretty hard on this thanks! :)
Answer:
Y = 32.7°
Step-by-step explanation:
We will apply the Cosine law in the given triangle XYZ,
x = 90 ft
y = 55 ft
z = 50 ft
We have to find the measure of angle Y.
y² = x² + z² - 2xzCosY
(55)² = (90)² + (50)² - 2(90)(50)cosY
3025 = 8100 + 2500 - 9000.cosY
9000.cosY = 10600 - 3025
cosY = 
= 0.84167
Y = 
Y = 32.68 ≈ 32.7°
Therefore, measure of angle Y = 32.7°
