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?

Answers: 1

Show answers

Answers

Answer from: 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

Answer from: 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

Answer from: Quest

mr. flanders’ class sold 47 doughnuts and mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

$\left\{\begin{array}{l}x+y=85\\1.35x+1.08y=104.49\end{array}\right.\rightarrow \left\{\begin{array}{l}x=85-y\\1.35(85-y)+1.08y=104.49\end{array}\right.$

$114.75-1.35y+1.08y=104.49,\\ \\114.75-104.49=1.35y-1.08y,\\ \\10.26=0.27y,\\ \\y=38,\\ \\x=85-38=47.$

Answer from: Quest

Bis the correct answer

Another question on Mathematics

Mathematics, 21.06.2019 16:20

Which mathematical statements are true? 1) if 3 is an odd number, then 3 times 3 is an even number. 2) if 6 is less than 7, then 4 is greater than 7. 3) six is divisible by 3, and 10 is a multiple of 2. 4) the average of the data is greater than the largest value in the data, or it’s less than the largest value in the data. 5) the slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value. 6) if an equilateral triangle has equal angles, then all its angles will measure 45°.

Answers: 3

Answer

Mathematics, 21.06.2019 22:50

Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.

Answers: 1

Answer

Mathematics, 21.06.2019 23:30

How do you write 600 as a product of its prime factors (index! )

Answers: 1

Answer

Mathematics, 21.06.2019 23:30

Can someone me with my math problem pls my teacher is on my back about this