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Mathematics

1 answer:

Jet001 [13]2 years ago

8 0

Answer:

answer below:)

Step-by-step explanation:

sin C= $\frac{opposite side}{hypotenuse side}$ = $\frac{7}{25}$

cos C= $\frac{adjacent side}{hypotenuse side}$ = $\frac{24}{25}$

tan C= $\frac{opposite side}{adjacent side}$ = $\frac{7}{24}$

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The sum of three consecutive even numbers is 48. what is the largest of these numbers?

shutvik [7]

Let's name the three consecutive even numbers n, n+2, and n+4. We know that their sum will be divisible by 2 because they are all even, so we can set x = n/2, and say that x + x+1 + x+2 = 48/2 = 24. Then, we can solve for 3x + 3 = 24, 3x = 24-3 = 21, and x = 21/3 = 7.
Final answer: n/2 = 7, so n = 14, so n+4 (the greatest number) is 14+4 =
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Step-by-step explanation:

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I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ

Dmitrij [34]

Answer:

$V = \frac{450L - 6 L^{3} }{10}$

Step-by-step explanation:

The volume of a cuboid can be determined simply by the formula: V= LWH

(where: L is length, H is height and W is width).

In this particular case the base is a square, which means the length and width are equal. Hence we can modify the equation of volume:

$V = L^{2} H$

Now we need to find the value of H in terms of L. For this we can develop the equation for cost incurred in building the storage shed. We find the area of each side of the cuboid, and then we multiply it by cost per square feet to find the total cost incurred; as shown below:

Area:

Base: $L$ × $L = L^{2}$