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Degger [83]
3 years ago
11

The height of a triangle is 2cm more than the base of the height is increased by 2cm while the base remains the same the new are

a becomes 85.5cm^2 find the base and height of original triangle
Mathematics
1 answer:
san4es73 [151]3 years ago
4 0

Answer:

Remember that a triangle's area is bh/2, where

b = base

h = height

So. You start with a triangle of base b and height h, add 2 to the height, and get a triangle of area 82.5.

b(h+2)/2 = 82.5

b(h+2) = 165

What you want to do from here is test the b and h from the choices given, and figure out which b and h satisfy this.

(a) If b=13 and h=15, b(h+2) = 221 nope.

(b) If b=9 and h=11, b(h+2) = 117 nope.

(c) If b=11 and h=13, b(h+2) = 165 that's it!

Step-by-step explanation:

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I need help on questions 48 49 and 50 and u need to find the surface area of the 3 polyhedras please and thank you!
White raven [17]

48. The surface area of a cylinder is given by

... A = 2πr² + 2πrh = 2πr(r+h)

For r = 13 mi and h = 7 mi, this becomes

... A = 2π(13 mi)(13 mi + 7 mi) = 520π mi²

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49. The surface area of a rectangular prism is

... A = 2(LW + H(L+W))

For L = 20 m, W = 10 m, H = 7 m, this becomes

... A = 2((20 m)(10 m) + (7 m)(20 m + 10 m)) = 2(200 m² + 210 m²) = 820 m²

The surface area of the prism is 820 m².

50. The formula is the same as for problem 48.

For r = 10 m and h = 13 m, this becomes

... A = 2π(10 m)(10 m + 13 m) = 460π m² ≈ 1445 m²

The surface area of the cylinder is 460π m² ≈ 1445 m².

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When calculations are repetitive, it is convenient to let a calculator or spreadsheet do them.

7 0
3 years ago
What is the distance between the points (-12, 11) and (-18, 17), to the<br> nearest tenth? *
Basile [38]

Answer:

8.5 units

Step-by-step explanation:

The distance between two points is given by

d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

Taking points (-12, 11) and (-18, 17) as the first and second points respectively then

d=\sqrt{(-18--12)^{2}+(17-11)^{2}}

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Rounded off to nearest tenths

d=8.5 units

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3 years ago
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