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Alexxx [7]
3 years ago
13

Maths question pls answer

Mathematics
2 answers:
irakobra [83]3 years ago
8 0

Answer:

81cm²

Step-by-step explanation:

Formula for area of a square with given perimeter: A=\frac{1}{16}P^2

We are given the perimeter of 36 cm.

A=\frac{1}{16}36^2\\\\ A=\frac{1}{16}1296\\\\A=81

The area should be 81cm².

Vitek1552 [10]3 years ago
3 0

Answer:

81

Step-by-step explanation:

We need to know the sides of the square so 36÷4=9

Area of a square = Side x side

Area of square = 9x9=81

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How to solve number 4
s2008m [1.1K]
Find the first semicircle area
Area semicircle can be determined by dividing the full area of circle by 2.
The first semicircle radius is 5 cm
semicircle area = 1/2 circle area
semicircle area = 1/2 × π × r²
semicircle area = 1/2 × 3.14 × 5²
semicircle area = 1/2 × 3.14 × 25
semicircle area = 39.25 cm²

Find the second semicircle area
Because the dimension of the second semicircle is congruent to the first semicircle, they have similar area measurement, 39.25 cm².

Find the quarter circle area
The area of quarter circle can be determined by dividing the full area of a circle by 4.
q circle = 1/4 × area of circle
q circle = 1/4 × π × r²
q circle = 1/4 × 3.14 × 10²
q circle = 1/4 × 314
q circle = 78.5 cm²

To find the entire area, add the area above together
area = first semicircle + second semicircle + q circle
area = 39.25 + 39.25 + 78.5
area = 157

The area of shaded region is 157 cm²
4 0
3 years ago
Evelyn went shopping with half of her monthly allowance. She spent $39.95 on a dress and 3/7 of the remainder on some accessorie
Gnoma [55]

Answer:

Evelyn monthly allowance is $187.

Step-by-step explanation:

Let the monthly allowance be 'x'.

Given:

Money taken with for shopping = \frac{x}{2}

Money spent of dress = $39.95

Also Given:

3/7 of the remainder on some accessories.

Money spent on accessories is equal to \frac{3}{7} times Difference of monthly allowance and Money spent of dress.

framing in equation form we get;

Money spent on accessories = \frac{3}{7}\times(\frac{x}{2}-39.95)

Also Given:

Money left after shopping = $30.60

Now we know that;

Money taken with for shopping is equal to sum of Money spent of dress and Money spent on accessories and Money left after shopping.

framing in equation form we get;

\frac{x}{2}=39.95+\frac{3}{7}(\frac{x}{2}-39.95)+30.60\\\\\frac{x}{2}=39.95+\frac{3x}{14}- 17.12 +30.60

Combining like terms we get;

\frac{x}{2}-\frac{3x}{14}=39.95-17.12+30.60\\\\\frac{x}{2}-\frac{3x}{14}= 53.43

Now we will make denominator common using L.C.M

\frac{x\times 7}{2\times7}-\frac{3x\times1}{14\times1}= 53.43\\\\\frac{7x}{14}-\frac{3x}{14}= 53.43\\\\\frac{7x-3x}{14}=53.43\\\\\frac{4x}{14}=53.43\\\\4x=53.43\times14\\\\x= \frac{53.43\times14}{4} = \$187

Hence Evelyn monthly allowance is $187.

3 0
4 years ago
- Given a test statistic of t= 3.018 of a left-tailed test with n= 13, use a 0.01 significance level
alina1380 [7]

Using the t-distribution, it is found that the correct option is:

0.005 < P-value < 0.01, reject the null hypothesis.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean of a given population is equal to 85, that is:

H_0: \mu = 85

We have a left-tailed test, hence, at the alternative hypothesis, it is tested if the mean of the population is less than 85, that is:

H_1: \mu < 85

<h3>What is the decision?</h3>

The test statistic is of t = -3.018.

Using a t-distribution calculator, with test statistic t = -3.018, 13 - 1 = 12 df and a significance level of 0.01, it is found that the p-value for a left-tailed test is of 0.0051.

The p-value is <u>less than 0.01</u>, hence the null hypothesis is rejected and the correct option is:

0.005 < P-value < 0.01, reject the null hypothesis.

More can be learned about the t-distribution at brainly.com/question/16313918

5 0
2 years ago
A notebook costs $4.50 plus sales tax . After sales tax , the notebook is $4.86. What is the sales tax rate?
UkoKoshka [18]

Answer:

8%

Step-by-step explanation:

0.36/4.50=0.08=8%

6 0
3 years ago
Read 2 more answers
A company makes $300 each month selling its products to the public. The company has $435 in its bank account. How many months of
Nookie1986 [14]
300$ 1 month
435$ x months
X= 435 x 1/300
X=1.45 months
4 0
3 years ago
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