Mathematics, 02.03.2020 19:26, jaidyn3mccoy6

Susie school is due west of her house into south of her friend Alana‘s house. The distance between the school and Alana‘s house is 5.6 miles in the straight line distance between Susie's house in Alanna‘s house is 8.7 miles. How far is Susie's house from school?

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answered: tilsendt

$\huge\boxed{\sqrt{44.33}\ \text{miles}\ (\approx 6.66\ \text{miles})}$

(See the attached diagram.)

We know one leg of a right triangle as well as its hypotenuse. We need to find the other leg using the Pythagorean Theorem.

The Pythagorean Theorem states that $a^{2}+b^{2}=c^{2}$ , where and are the legs and is the hypotenuse.

Insert the known values into the equation. The distance between Susie's house and the school will be represented by .

$5.6^{2}+b^{2}=8.7^{2}$

Convert the decimals to fractions.

$(\frac{28}{5})^{2}+b^{2}=(\frac{87}{10})^{2}$

To raise a fraction to a power, raise both the numerator and the denominator to that power.

$\frac{784}{25}+b^{2}=\frac{7569}{100}$

Multiply both sides of the equation by 100 .

$3136+100b^{2}=7569$

Subtract 3136 from both sides.

100b^2=7569-3136

Subtract.

$100b^{2}=4433$

Divide both sides by 100 .

$b^{2}=44.33$

Take the square root of both sides.

$b=\boxed{\sqrt{44.33}\approx6.66}$

Susie school is due west of her house into south of her friend Alana‘s house. The distance between t

answered: tragesserj

Susie's house is 6.9 miles from school

Step-by-step explanation:

The distance between Susan's house, her school and Alana‘s house forms a right angle triangle. In the right angle triangle, the distance between Alana's house and the school represents the hypotenuse of the right angle triangle while the opposite and adjacent sides are the distances between Susie's house and her school and as well as the distance between Susie's house and Alana's house.

To determine the distance between Susie's house and her school h, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore

8.7² = 5.6² + h²

h² = 75.69 - 31.36 = 44.33

h = √44.33

h = 6.9 miles

answered: Guest

it could be 1,3 and more others to create a cylinder.

step-by-step explanation:

answered: Guest

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;