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Sveta_85 [38]
3 years ago
10

This blue triangle has a perimeter of 66 cm. Write an equation and solve for x.

Mathematics
1 answer:
enot [183]3 years ago
4 0
8x - 4 + x + 5(2) + 6x = 66
15x - 4 + 10 = 66
15x + 6 = 66
15x = 60
x = 4
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The length of a rectangle is 1 foot less than twice the width. If the area is 45 ft2, find the length and width.
STatiana [176]
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Rectangle area = length(l)x width(w)

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8 0
3 years ago
Find an antiderivative F(x) with F′(x) = f(x) = 6 + 24x^3 + 18x^5 and F(1)=0.
7nadin3 [17]

Answer:

The antiderivative is F(X) = 6x + 6x^4 + 3x^6 - 15.

Step-by-step explanation:

Antiderivative F(x)

This is the integral of F^{\prime}(x)

So

F′(x) = f(x) = 6 + 24x^3 + 18x^5

Then:

F(x) = \int (6 + 24x^3 + 18x^5) dx

F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K

F(x) = 6x + 6x^4 + 3x^6 + K

F(1)=0

F(X) = 0 when x = 1. We use this to find K.

F(x) = 6x + 6x^4 + 3x^6 + K

0 = 6 + 6 + 3 + K

K = -15

Thus

The antiderivative is F(X) = 6x + 6x^4 + 3x^6 - 15.

7 0
3 years ago
For a normal distribution what percentage of data falls within one standard deviation of the mean
3241004551 [841]

Answer:

For a normal distribution 68% of data falls within one standard deviation from mean on both sides of mean

Step-by-step explanation:

A normal distribution's graph is a bell shaped curve that is completely described by its mean and standard deviation. Standard deviation is measured in terms of distance from mean.

34% of data is covered in one standard deviation from mean on one side.

Therefore, for a normal distribution 68% of data falls within one standard deviation from mean on both sides of mean ..

8 0
4 years ago
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Step-by-step explanation:

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5 0
3 years ago
Mary invests £12000 in a savings account. The account pays 1. 5% compound interest per year. Work out the value of her investmen
mestny [16]

Answer:

The value of Mary's investment after two years = £12362.7

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4 0
2 years ago
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