Answer:
Option (A) is the correct answer.
Step-by-step explanation:
Now, 
∴
= 
= 
=
Therefore option (a) is the correct answer.
Step-by-step explanation:
quarter circle means that you just find the are and then divide it by 4.
hence,
(3.14 × 8²) ÷ 4 = answer
the answer is 50.24 cm²
hope this helps.
Cylinder Volume = <span><span>¼ • </span><span>π • d² • height</span></span>
<span>
12,464.27 = .25 * PI * 23^2 * height
height = </span><span>12,464.27 /</span><span> .25 * PI * 23^2 </span>
height = 12,464.27 /<span> .25 * PI * 529
</span>height = 12,464.27 / <span><span><span>415.4756284373
</span>
</span>
</span>
<span>
</span><span>height = 30 mm
The vertical cross-section would be 23 mm * 30 mm =
690 SQUARE millimeters (NOT cubed as the answer says).
answer is C
</span>
Step-by-step explanation:
3a²-7a−6
Factor the expression by grouping. First, the expression needs to be rewritten as 3a
2
+pa+qa−6. To find p and q, set up a system to be solved.
p+q=−7
pq=3(−6)=−18
Since pq is negative, p and q have the opposite signs. Since p+q is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product −18.
1,−18
2,−9
3,−6
Calculate the sum for each pair.
1−18=−17
2−9=−7
3−6=−3
The solution is the pair that gives sum −7.
p=−9
q=2
Rewrite 3a
2−7a−6 as (3a
2−9a)+(2a−6).
(3a 2−9a)+(2a−6)
Factor out 3a in the first and 2 in the second group.
3a(a−3)+2(a−3)
Factor out common term a−3 by using distributive property.
(a−3)(3a+2)
Answer:
y is one x is two and line y is 1
