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maxonik [38]
3 years ago
11

Find the height of a prism whose volume is 108 cm3 and the area of the base is 15 cm2.

Mathematics
1 answer:
cluponka [151]3 years ago
7 0

Answer:17

Step-by-step Experlation: The volume is 108 cm. 3,2,15.a square prism with a base edge of 9.5 inches and a height of 17 ... amount for a landowner

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Consider the 30°-60° right triangle shown whose hypotenuse is equal to one. Clearly this triangle is half of an equilateral tria
Bad White [126]

Answer:

Step-by-step explanation:

Given triangle ABC is a right triangle.

m∠ACB = 60°

m∠CAB = 30°

m(AC) = 1 unit

A). Shorter side of the given triangle = Side BC

By applying cosine rule,

cos(∠C) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(60°) = \frac{BC}{AC}

BC = \frac{1}{2}(AC)

BC = \frac{1}{2}

Length of the shorter side = 0.5 units

B). Longer side of the given triangle = side AB

By applying Pythagoras theorem in the given triangle,

AC² = AB² + BC²

1² = AB² + (\frac{1}{2})^2

1 = AB² + \frac{1}{4}

AB = \sqrt{1-\frac{1}{4}}

AB = \sqrt{\frac{3}{4}}

AB = \frac{\sqrt{3} }{2}

Length of the longer side = \frac{\sqrt{3}}{2}

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3 years ago
Please help me! <br> Will give brainlst :)
tigry1 [53]

Answer:

9. the measure of DEF is 103°

10. the measure of DEG is 77°

11. 90°

Step-by-step explanation:

it's pretty simple, just take into consideration that the final measure of all the angles of a triangle must be 180°

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Answer:gbbg

Step-by-step explanation:hhhhh

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3 years ago
There are 36 people at work. 3/8 are working, 1/3 are slouching, and the rest aren't even at work. What is the fraction of the p
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Find the sum of the geometric series 1 - 4/5 + (4/5)² - (4/5)³ + ... - (4/5)²⁹
masha68 [24]

Answer:

Step-by-step explanation:

Given,

1st term (a) = 1

Common ratio (r) = -4/5

last term (l) = - (4/5)^{29}

Now,

Sum (S) = (lr- a)/(r - 1) =[(4/5)³° - 1]/(-9/5)

             = -0.99876206/-1.8

             = 0.5548678111

Sorry bro couldn't get answer in fraction.

3 0
3 years ago
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