The school is located 0.5 miles east of Raoul's house. The library is located 1.2 miles south of the school. What is the distance between Raou
house and the library?
miles
Answers
Answer:
1.7 miles
Step-by-step explanation:
Pythagoras' Theorem sets the relation between three sides of a right-angled triangle. The distance between Raoul's home and the library is 1.3 miles.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|² = |AB|² + |BC|²
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
The school is located 0.5 miles east of Raoul's house. The library is located 1.2 miles south of the school. Therefore, the distance between the home and the library is the hypotenuse of the triangle formed.
AC² = AB² + BC²
AC² = 0.5² + 1.2²
AC = 1.3 miles
Hence, the distance between Raoul's home and the library is 1.3 miles.
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Related Questions
Between 1998 and 2018, inflation for prices of goods and services has been about 51%. Suppose a salon charged $18 for a basic haircut in 1998 and has been raising prices by a steady percentage each year to keep up with inflation.
What is the price of a haircut at the salon in 2008? Explain or show your reasoning.
In 2003, the salon charged $19.95 for a basic haircut. Find the cost of the basic haircut in 2013. Explain your reasoning.
Answers
9514 1404 393
Answer:
$22.12$24.51Step-by-step explanation:
For some growth factor f each year, the growth factor over 20 years is given as ...
f^20 = 1 +0.51 = 1.51
Then the growth factor in 10 years is ...
f^10 = (f^20)^(1/2) = √1.51 ≈ 1.22882
__
a) In the 10 years between 1998 and 2008, the price of a basic haircut would rise to ...
$18 × 1.22882 ≈ $22.12 . . . price in 2008
__
b) In the 10 years between 2003 and 2013, the price of a basic haircut would rise to ...
$19.95 × 1.22882 ≈ $24.51 . . . price in 2013
The expression ( x − 12 ) is a factor of x 2 + p x − 48 . What is the value of p ?
Answers
Answer:
p = -8
Step-by-step explanation:
Since, (x - 12) is a factor, then;
x - 12 = 0
x = 12
substitute the value of x in the equation
[tex]x^{2}[/tex] + px - 48 = 0
[tex](12)^{2}[/tex] + 12p - 48 = 0
144 + 12p -48
12p = -144 + 48
12p = -96
p = -8
So that,
[tex]x^{2}[/tex] +-8x - 48 = 0
[tex]x^{2}[/tex] -12x + 4X- 48 = 0
([tex]x^{2}[/tex] -12x) + (4X- 48)
X(X - 12) + 4(X - 12)
(X - 12) (X + 4)
Therefore, p = -8 and (X - 12) (X + 4) are factors of the equation.
1. The Royals softball team played 125 games and won 60 of them. What percent of the games did they lose? A. 48% B. 52% C. 65% D. 75%
Answers
Answer:
52% or B.
Step-by-step explanation:
How many pounds are in 3000 ounces?
Answers
Answer:
187.5 pounds are in 3000 ounces
Step-by-step explanation:
The answer will be 187.5 pounds
Monthly Salary = $325
Commission = 4.5%
Sales = $1,200
How much money made?
Answers
Multiply commission percentage by sales and add to the salary.
1200 x 0.045 = 54
325 + 54 = 379
Total made = $379
I'll give 15 points for this question
Answers
Answer:
4. Is 6 eggs
5. Is 7 eggs
Step-by-step explanation:
pls answer I give brainliest
Answers
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
please mark brainiest
Help ASAP
Liz sewed a quilt with an area of 900 square inches. The length of the quilt is 30 inches. What is the perimeter of the quilt? Enter your answer in the box below.
inches
Answers
Answer:
The answer is 120 inches
Step-by-step explanation:
900 is the area the area of a rectangle is A=lw
So 900=30w
900/30=w
30=w
multiply 30 by 4 to get the perimeter
What is the slope of the equation y = 12x - 19?
Answers
Answer:
12 is the slope.
Step-by-step explanation:
This is because in the equation y = mx + b, m is the slope.
Hope this helps!
help. answer is not D
Answers
Answer:
It would be C or B
Step-by-step explanation:
can't be A because A is 0 and there is no way you could be able to draw 0 lines so it would most likely be C
Linear Review: Billy Bob recently purchased solar panels for his home. After 5 months he still owed 2850. He makes a $30 payment each month towards his loan. Build a model. Write an explanation for slope and y-intercept. How many months will it take Billy Bob to finish making payments.
Answers
Answer:
Step-by-step explanation:
B) The first step is to calculate the monthly payment using a present value (PV) of $59,000 , monthly interest rate of 7.60 /12 = 0.633333 %, and 60 periods, which = $1185.04 ; the second step is to add $50 to this monthly payment giving the new monthly payment of $1235.04 ; the last step is to calculate the time required to pay off the loan = 57.0740 months.
a boat used 1/24 of a gallon of gas to drive 1/3 of a mile.At this rate how many miles can the boat go using 1 gallon of gas.
Answers
The answer is:
8 miles
Brainliest +thanks
1/3z-2=0 write in statement
Answers
Answer:
1 is divided by 3z with difference 2
3. Marcus and Judy are picking apples. At the end of the day, Marcus has a apples. Judy has 5 times as many apples as Marcus. Which expression represents the number of apples Judy has in terms of a?
Group of answer choices
a-5
5a
5+a
5/a
Answers
Answer:
A-5
Step-by-step explanation:
Farell has a gift card with a 45 balance he bought some bags of chips that cost 2.50 each after his perchase his gift card balance was 32.50 write and solve the equation to find how how many bags of chips x he bought
Answers
Answer:
He bought 5 bags of chips
Step-by-step explanation:
Here, we want to calculate the number of bags of chips bought
The amount used on the balance is;
45-32.5 = 12.5
Let the number of chips bought be n
Since each chip cost 2.5 each;
The amount of chips bought will be 2.5 * n = 2.5n
This is same as 12.5
Thus;
2.5n = 12.5
n = 12.5/2.5
n = 5
Which transformation will carry a regular octagon onto itself?
Answers
Answer:
you have to move it to an adjacent side. hope this helped have a nice day:)
2.1/(x+ 1 4/5)=3/10x
what is x?
please help
Answers
Answer:
x=0.3
Step-by-step explanation:
I’ll mark u brainliest if u answer this question!!.!!!!!!!!!-!!:):):)
Answers
Answer:
a)60 per week
b) 6 weeks
Step-by-step explanation:
a)
[tex]240/4=60[/tex]
b)
[tex]349\leq 60x\\349/60\leq 60x/60\\5.82\leq x[/tex]
Question 9 of 10
Which vector is the sum of vectors ä and ?
Б
Answers
Answer:
its c
Step-by-step explanation:
what is x:
3 + 12x = 63
Answers
Answer:
X=5
Step-by-step explanation:
3+12x=63
Subtract 3 from both sides
12x=60
Divide both sides by 12
X=5
Answer:
Ummm... Ok... Answer: X = 187 / 39 OR X = 4.794872
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
/3 + 1 2 = 63
3(x/3 + 12x) = 3.63
Simplify
Distribute Cancel multiplied terms that are in the denominator Combine like terms Multiply the numbers37x = 189
Divide both sides of the equation by the same term
37x = 189
37x / 37 = 189 / 37
Simplify
Cancel terms that are in both the numerator and denominatorx = 187 / 39
OR
x = 4.794872
Find the 50th term of the following arithmetic sequence.
13, 22, 31, 40,
---
Answers
Answer:
454
Step-by-step explanation:
The formula for this arithmetic sequence is: 9n+4
1st term: 9(1)+4 = 13
2nd term: 9(2)+4 = 22
3rd term: 9(3)+4 = 31
4th term: 9(4)+4 = 40
.
.
.
50th term: 9(50)+4 = 450+4
= 454
which choice is equivalent to the expression below ^-216
Answers
Answer:
B. 6i√6
General Formulas and Concepts:
Algebra II
Imaginary Numbers: √-1 = iStep-by-step explanation:
Step 1: Define expression
√-216
Step 2: Simplify
Factor: √-1 · √216Simplify: i · 6√6Multiply: 6i√6Max had $22. His mother gave him $15 more. How much does Max have
now? Click on the number line that shows the right answer.
Answers
Answer:
D (The one on the very bottom)
Step-by-step explanation:
If he started with 22 and went fifteen up, the arrow should be pointing to the right to show an increase in the amount of money Max has.
22+15=37
Answer:
4.
Step-by-step explanation:
22 + 15 = 37
hope it helps
60 students in a school election 45% voted for aliyah. how many votes did aliyah get?
Answers
Answer:
27
Step-by-step explanation:
60 times .45 equals 27
At King Kong High School, the average weight of senior boys is 168 lbs. with a standard deviation of 7 lbs. The average weight for senior girls is 117 lbs. with a standard deviation of 5 lbs. Suppose a new distribution is created by adding the boys' weights and the girls' weights together. Assuming that the weights for boys and girls are independent, which of the following is true?
I. The mean of this new distribution is 168 + 117.
II. The standard deviation of this new distribution is 5+ 7.
III. The variance of this new distribution is 52 + 72
A) I only
B) II only
C) I and II only
D) I and III only
E) I, II, and III
Answers
Answer:
I and III only. Got it correct on Stats test.
Thus, the mean of this new distribution is 168 + 117 and the standard deviation of this new distribution is 5+7. Therefore, option C is the correct answer.
Given that, at King Kong High School, the average weight of senior boys is 168 lbs.
What is standard deviation?Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.
Here, a new distribution is created by adding the boys' weights and the girls' weights together.
So, the new average weight of senior boys and girls
= 168+117
= 285 lbs
The new standard deviation is 5+7
= 12 lbs
Thus, the mean of this new distribution is 168 + 117 and the standard deviation of this new distribution is 5+7. Therefore, option C is the correct answer.
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Anyone it is almost due help
Answers
Answer: I not super sure, but I think you are supposed to put the equations on each side of the table. Your end result should be 2x to the second -5x-3.
Step-by-step explanation:
answer both and I will give brainiest and 50 points.
Describe the location of the point in coordinate space.
(–7, 9, –2)
From the origin, move 7 units back, 9 units left, and 2 units down.
From the origin, move 7 units back, 9 units right, and 2 units up.
From the origin, move 7 units forward, 9 units right, and 2 units down.
From the origin, move 7 units back, 9 units right, and 2 units down.
Describe the location of the point in coordinate space.
(–2, 8, –4)
From the origin, move 2 units back, 8 units left, and 4 units down.
From the origin, move 2 units forward, 8 units right, and 4 units down.
From the origin, move 2 units back, 8 units right, and 4 units up.
From the origin, move 2 units back, 8 units right, and 4 units down.
Answers
Answer:
1. From the origin, move 7 units back, 9 units right, and 2 units down.
2. From the origin, move 2 units back, 8 units right, and 4 units down.
Hope this helps :)
56 = ?×?×?×? i want to know what number ecual yo 56 by multiplying it 4 times to get your answer
Answers
Answer:
4 * 14 = 56
Step-by-step explanation:
56/2 = 28
28/2 = 14
14/2 = 7
7/7 = 1
56 = 2 * 2 * 2 * 7
56 = (2 * 2) * (2 * 7)
56 = 4 * 14
Find the Volume of the shape
Answers
Step-by-step explanation:
V = πr²*(h/3)
diameter = 6, r=3
V = π*9*(24/3)
= 81π
which is approximately
254.5 in³
Y=-2/5x-4 find slope and y intercept
Answers
Answer:
slope= -2/5
y intercept is (0,-4)
Step-by-step explanation: