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brilliants [131]
3 years ago
11

Some help please? 20 points !!

Mathematics
2 answers:
drek231 [11]3 years ago
6 0
Answer:

72m^3

Explanation:


drek231 [11]3 years ago
4 0

Answer:

72m^3

Step-by-step explanation:

l x w x h

l = 2

w = 9

h = 4

2 x 9 x 4 = 72

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The perimeter of a triangle is 510 feet and the sides are in the ratio of 11:16:24. Find the area of the triangle
Nutka1998 [239]

If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.

So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.

This means that the perimeter is

11x+16x+24x = 51x feet long. But we know that this is 510 feet, so we have

51x = 510 \implies x = \cfrac{510}{51} = 10.

So, the three sides are 110, 160 and 240 feet long.

To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if s is half the perimeter of the triangle whose sides are a,b,c, the area A is given by

A = \sqrt{s(s-a)(s-b)(s-c)}

In our case, s = 255, a = 110, b = 160, c = 240 so the formula becomes

A = \sqrt{255(255-110)(255-160)(255-240)} = \sqrt{255(145)(95)(15)} = \sqrt{52689375} \approx 7258.74

5 0
3 years ago
F represents the fee (in dollars) for climbing d meters.
Grace [21]

Answer:

$12

Step-by-step explanation:

when d = 0,  F = 110

when d = 100, F = 110 + (0.12 x 100) = 122

when d = 200, F = 110 + (0.12 x 200) = 134

etc.

Therefore, increase in price for every 100 meters climbed = 134 - 122 = 122 - 110 = 12

3 0
3 years ago
If you pick a gumball at random, put it back, and then pick another gumball at random, what is the probability of picking a blue
Fynjy0 [20]
Hi there!

It depends on how many colors of gumballs there are and how many gumballs there are in total. With those, we can set the fraction to each gumball color.

Hope this helps!
6 0
3 years ago
Read 2 more answers
Choose the explicit and recursive formulas for the geometric sequence 45, 135, 405, 1215, 3645, .... PLEASE HELP ASAP
sesenic [268]

Answer:

Option (B)

Step-by-step explanation:

Given sequence is 45, 135, 405, 1215, 3645..........

Since it's a geometric sequence,

Common ratio of each successive term to the previous term

r = \frac{135}{45}=3

First term of the sequence 'a' = 45

Explicit formula of a geometric sequence will be,

a_n=a(r)^{n-1}

a_n=45(3)^{n-1}

Recursive formula of this sequence will be,

a_n=3(a_{n-1}), a_1=45

Therefore, Option (B) will be the answer.

3 0
3 years ago
A recipe calls for 3 cups of sugar and 9 cups of water. How many cups of water should be used with 12 cups of sugar?
Yuki888 [10]

Answer:

36

Step-by-step explanation:

3 0
3 years ago
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