Answer:
x=10/-3, 4/5
Step-by-step explanation:
f(x) = (10 - 3x)(4 - 5x)
10-3x=0
-3x=-10
x=10/3
4 - 5x = 0
-5x = -4
x = 4/5
(a) The lateral surface area of the prism is 720 sq units and the total surface area is 752 sq units.
(b) The lateral surface area of the cone is 136π sq units and the total surface area is 200π sq units.
(c) The lateral surface area of the cylinder is 242π sq units and the total surface area is 484π sq units.
<h3>
Lateral surface area of the prism</h3>
L.S.A = Ph
where;
- P is perimeter of the base
- h is height of the prism
h² = 17² - 8²
h² = 225
h = 15
L.S.A = (3 x 16) x 15 = 720 sq units
<h3>Total s
urface area of the prism</h3>
T.S.A = PH + 2B
T.S.A = 720 + 2(16) = 752 sq units
<h3>
Lateral surface area of the cone</h3>
L.S.A = πrt
where;
- t is the slant height = 17
r² = 17² - 15²
r² = 64
r = 8
L.S.A = π(8)(17) = 136π sq units
<h3>
Total surface area of the cone</h3>
T.S.A = πrt + πr²
T.S.A = 136π sq units + π(8)²
T.S.A = 200π sq units
<h3>
Lateral surface area of the cylinder</h3>
L.S.A = 2πrh
where;
- r is the radius of the cylinder = 11
- h is height of the cylinder = 11
L.S.A = 2π(11 x 11) = 242π sq units
<h3>Total
surface area of the cylinder</h3>
T.S.A = 2πrh + 2πr² = 2πr(r + h)
T.S.A = 2π(11)(11 + 11)
T.S.A = 484π sq units.
Thus, the lateral surface area of the prism is 720 sq units and the total surface area is 752 sq units.
- the lateral surface area of the cone is 136π sq units and the total surface area is 200π sq units.
- the lateral surface area of the cylinder is 242π sq units and the total surface area is 484π sq units.
Learn more about surface area here: brainly.com/question/76387
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They are in agreement. All of the expressions provided are equivalent. Chris says that 14.6 percent of the world's oranges are grown in Florida. Then, Mary Beth says that 292 out of 2000 oranges are grown in Florida. If we compare the two, 292 is actually 14.6 percent of 2000. So they are saying the same thing. Allison says that 0.146 of the oranges are grown in Florida. 0.146 is actually 14.6 percent as a decimal, so if we change it back into a percent, she is saying that 14.6 percent of oranges are grown in Florida. Sound familiar? They are all in agreement.<span />
Answer:
y=3/2x+4
Step-by-step explanation:
1.find the slope
y2-y1/x2-x1
-5-1/-6-(-2)
-5-1/-6+2
-6/-4
3/2
slope (m) is 3/2
2.y-y1=m(x-x1)
y-1=3/2(x-(-2))
y-1=3/2(x+2)
y-1=3/2x+6/2
y=3/2x+6/2+1
y=3/2x+8/2
y=3/2x+4
