Factor the equation. Remember the value should add to the b value and multiply to the c value.
x^2-x-12= 0
(x-4)(x+3)=0
Use the zero product property to find roots
x-4=0
x=4
x+3=0
x=-3
Final answer: x=-3, x=4
Answer:
a) 84π b) 109.2π
Step-by-step explanation:
The formula to find this is v=πr^2h/3
r=d/2. so the radius (r) is 6 because you have to divide the diameter (12) by 2. and the height is 7. so, 6^2=36 and 36x7=252.
252/3=84
and because the question is asking for the EXACT value, you need to just put the pi symbol next to it. Final answer for a is 84π
B) you need to find 30% of 84, which is 25.2 and add it to 84, and you will get 109.2! Final answer is 109.2π.
<h2>First Question:</h2><h3>Given: </h3>
2 km = 1 cm
<h3>To Find:</h3>
The length of the road of 15 km.
<h3>Solution:</h3>
2 km = 1 cm
1 km = 1/2 = 0.5 cm
15 km = 0.5 × 15 = 7.5
<h2>Answer: </h2>
The length of the road is <u>7.5 cm</u>.
Therefore, <u>Option D. 7.5 cm</u> is correct.
The sum of the opposite interior angles is equal to the exterior angle.
So,
∠CAB + ∠ACB = ∠CBD
x + 40 + 3x + 10 = 6x
4x + 50 = 6x
2x = 50
x = 25°
∠CAB = x + 40 = 25 + 40 = 65°
Hence, the answer is D.
Answer: 9 so the fraction would be 9/24
