All categories

2 years ago

please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)

Mathematics

1 answer:

Mumz [18]2 years ago

7 0

<h3>Answer: 8.9</h3>

========================================================

Explanation:

Check out the diagram below.

a = 6.3 inches
b = 6.3 inches
c = unknown hypotenuse

Use the Pythagorean Theorem to find the length of c.

$a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{(6.3)^2 + (6.3)^2}\\\\c = \sqrt{39.69+39.69}\\\\c = \sqrt{79.38}\\\\c \approx 8.9095\\\\c \approx 8.9\\\\$

The distance from one corner to the opposite corner is about 8.9 inches.

You might be interested in

Mischa wrote the quadratic equation 0=-x^2+4x-7 in standard form. If a = -1, what is the value of c in her equation?

gayaneshka [121]

The correct answer
C= -7

8 0

3 years ago

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe

kherson [118]

Answer:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.03$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We don't have a prior estimation for the proportion $\hat p$ so we can use 0.5 as an approximation for this case

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

5 0

3 years ago

A prism with a triangular base has a volume of 432 cubic feet. The height of the prism is 8

Rashid [163]

Answer:

9 feet

Step-by-step explanation:

Given:

A prism with a triangular base has a volume of 432 cubic feet.

The height of the prism is 8.

The triangle base has a base of 12 feet.

Question asked:

The height of the triangular base of the prism = ?

solution:

Volume of triangular prism = $Area of triangle \times height$

$432 = Area of triangle \times8$

Dividing both side by 8

$54 = Area of triangle$

$54 =$ $\frac{1}{2} \times base \times height$

$54 = \frac{1}{2} \times12\times height\\54 = \frac{12}{2} \times height$

Multiplying both side by 2

$108 = 12 \times height$

Dividing both side by 12

$9 = height$

Thus, height of the triangular base of the prism is 9

3 0

3 years ago

Caleb wants to work as a dog walker. One client offers him $10 per day to walk his dog Puff, and wants Caleb to walk Puff every

aksik [14]

Answer:

he will earn more from walking Puff

Step-by-step explanation:

if he is walking Puff for ten dollars 7 days a week, thats 70 dollars.

the other dog would get him 60 dollars a week.

8 0

3 years ago

A particular metal alloy a has 20% iron and another alloy b contains 60% iron. how many kilograms of each alloy should be combin

Veronika [31]

Let t and s represent the masses of 20% and 60% alloys respectively.

t+s=80, s=80-t

(0.2t+0.6s)/80=0.52 multiply both sides by 80

0.2t+0.6s=41.6, now using s=80-t in this equation gives us:

0.2t+0.6(80-t)=41.6 perform indicated multiplication on left side

0.2t+48-0.6t=41.6 combine like terms on left side

-0.4t+48=41.6 subtract 48 from both sides

-0.4t=-6.4 divide both sides by -0.4

t=16, since s=80-t

s=64

So 16kg of 20% alloy is mixed with 64kg of 60% allow to make 80kg of a 52% alloy.

5 0

4 years ago