As part of your exercise routine, you jog around the neighborhood block which is shaped like a right triangle. Your street, the hypotenuse of the triangle, is 850 feet long. If the total distance around your block is 2000 feet, what are the distances of the other two streets that enclose your block?

Answers

Answer 1

Answer:

The other distances are 400 ft and 750 ft.

Step-by-step explanation:

a + b + c = 2000

a + b + 850 = 2000

a + b = 1150     Equation 1

a^2 + b^2 = c^2

a^2 + b^2 = 850^2

a^2 + b^2 = 722,500     Equation 2

a + b = 1150

a^2 + b^2 = 722,500

a = 1150 - b

(1150 - b)^2 + b^2 = 722,500

1,322,500 - 2300b + b^2 + b^2 = 722,500

2b^2 - 2300b + 600,000 = 0

b^2 - 1150b + 300,000 = 0

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-(-1150) \pm \sqrt{(-1150)^2 - 4(1)(300,000)}}{2(1)} [/tex]

[tex] x = \dfrac{1150 \pm \sqrt{1,322,500 - 1,200,000}}{2} [/tex]

[tex] x = \dfrac{1150 \pm \sqrt{122,500}}{2} [/tex]

[tex]x = \dfrac{1150 \pm 350}{2}[/tex]

[tex] x = \dfrac{1500}{2}~~~or~~~x = \dfrac{800}{2} [/tex]

x = 750   or   x = 400

Answer: The other distances are 400 ft and 750 ft.


Related Questions

Mr. Johnston supports a young tree by using a stake and a string forming a right angle with the ground. View the di
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What is the length of the string? Round to the nearest tenth.
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Answer: Hey! The answer is 68.48 (rounded)

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

-4x - 7 > 1

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[tex] \sqrt{325 \times 325} [/tex]

Answers

Answer:

your answer will be 325

Step-by-step explanation:

thanks...

Answer:

325 is your answer kaul

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#Captainpower

Draw fraction strips to add 1/4 and 1/6 Write an equation.

Answers

Answer:

fraction strips would just be;

1 box split into 12 parts because 12 is the common denominator, and 1/4 is equal to 3/12, so you would shade in 3 of the parts, and then 1/6 = 2/12, so you would shade in 2 parts. In the end, you should have a box (or rectangle) with 12 parts, and only 5 of those parts should be shaded in.

The equation would be as follows:

1/4+1/6 = 3/12+2/12 = 5/12

Hope this helped!! :)

The organizers of the concert arranged 390 chairs in a row so that there were 18 chairs in the first row and 42 chairs in the last row, and the number of chairs in the rows forms an arithmetic progression. How many chairs were placed in rows, and how many chairs in each subsequent row are more than the previous one?

Answers

Answer:

4

Step-by-step explanation:

Kind hearts, help me out with this one please? I'm talking about number 3...​

Answers

Answer:

91

Step-by-step explanation:

suppose there are x number of residents.

x²=8281

so, x=√8281=91

What is the distance between -2 and 3 on a number line?
A ++++++++
-5 -4 -3 -2 -1 0 1 2
+
3 4 5
a. 5
b. -1
c. 1
d. -5
Show work

Answers

A.5 ..........................

HELPPPPP PLZZZZZZZZZ​

Answers

Answer: 14

Step-by-step explanation:

10.5 / 3 = 3.5

4 x 3.5 = 14

what is the factor of 360​

Answers

Answer:

The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.

Answer:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 and 360, making a total of 24 divisors. 360 is a highly composite number.

Step-by-step explanation:

23 × 32 × 5


Find the product of (x - 3)2

Answers


(
x

3
)
2
=
(
x

3
)
(
x

3
)
From here we can just FOIL; first, outer, inner, last. Multiply the first term in the first bracket (x), by the FIRST term in the second bracket (x), giving us
x
2
. Then, we multiply the outermost term on the left side by the OUTERmost on the right side, giving us

3

x
, equal to

3
x
. We then multiply the INNERmost terms together, which are again -3 and
x
, giving us

3
x
again. Finally we multiply the LAST term in the first bracket by the last term of the second, giving us

3


3
, or 9. Then, we simply write these out, in order:
x
2

3
x

3
x
+
9
Collect like terms:
x
2

6
x
+
9
And you're done!

Answer:

2x - 6

Step-by-step explanation:

Use distributive property.

(x - 3)2 = 2x - 6

Gasoline costs $3.37 per gallon. Mary's father puts 9i gallons in the tank of his car. How much will the gasoline cost?

Answers

9 gallons of gasoline would cost 30.33

9 x 3.37=30.33 you just have to multiply the gas by the gallons and then that will give you your answer

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Answers

Answer: 170

Step-by-step explanation:

t r is 90 and 82 and it = 172 just round that and you have 170

PART A: APPLICATION (10 marks)
1. Tom weighs six kilograms less than twice Jerry's weight. If the sum of their weights is 102
kilograms, how much does each person weigh? You can choose to solve by substitution or
elimination for this question. Show your work for full marks.
(5 marks)
Let T

Answers

Answer:

Jerry's weight is 36kg and tom's weight is 66kg

Step-by-step explanation:

According to the given condition:

Let,tom's weight =x

Jerry's weight=y

So,

X=2y-6 ---(1)

X+y=102-----(2)

Put value of x from eq 1 in 2

2y-6+y=102

3y-6=102

3y=102+6

3y=108

Y=108/3=36

Jerry's weight is 36.

Put value of y in eq 1

X= 2(36) -6

X=72-6

X=66

So, Tom's weight is 66kg

Hugo is buying DVDs that cost $15 each. He has a coupon for $5 off his
total purchase. Write an equation to find c the total amount he will spend on
any number of DVDs d. Then use the equation to find the amount he will
spend if he buys 6 DVDs.

Answers

Answer: 85

Step-by-step explanation: 15 × 6= 90 - 5=  85

Your decisions now will have no effect on health later on ?*

True or
False

Answers

Answer:

True!

Step-by-step explanation:

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Answers

1 is   D 10,8

2 is B 10, 3

1) (10,8)

2) (10,3)

Do you want me to explain how I got it?

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MDentyne Cinnamon Fire Sugar Free Gum contains 40% fewer calories than
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Answers

Answer:

3 calories

Step-by-step explanation: 100%-40%=60% .6*5=3 calories

Answer:

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Step-by-step explanation:

Use the Rational Root theorem to determine the factors of x^3 - 2x^2 - 13x - 10 given that one factor is (x + 1)

Answers

Answer:

The correct option is;

D. (x - 5)·(x + 2)·(x + 1)

Step-by-step explanation:

The Rational Root theorem is expressed mathematically as follows;

[tex]Possible \ rational \ roots = \dfrac{Factors \ of \ the \ constant \ term}{Factors \ of \ the \ leading \ coefficient}[/tex]

The given polynomial is presented as follows;

x³ - 2·x² - 13·x - 10

A factor of the polynomial = (x + 1)

The factors of the constant term, -10 = -10, -5, -2, -1, 10, 5, 2, and 1

The factors of the leading coefficient, (the coefficient of the variable having the highest degree or power, x³) = 1

Given that (x + 1) is a known factor, the other two factors are either (x + 5) and (x - 2) or (x - 5) and (x + 2)

The option, that combines (x + 1) and the other two factor combination is (x - 5)·(x + 2)·(x + 1)

∴ The solution which meets the condition is (x - 5)·(x + 2)·(x + 1)

We check;

(x - 5)·(x + 2)·(x + 1)  = x³ - 2·x² - 13·x - 10

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A.60ft2
B.80ft2
C.64ft2
D.24ft

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Answers

Answer:

area of trapezoid =1/2 h(s1+s2)=1/2×8(6+10)=4×16

=64 ft²

option C.64ft2 is your answer

Answer:

[tex]\Large \boxed{\sf 64 \ ft^2}[/tex]

Step-by-step explanation:

Area of trapezium/trapezoid formula:

[tex]\displaystyle \frac{(a+b)\times h}{2}[/tex]

Substitute the values and evaluate

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EVERYONE THAT HAS WATCHED GINNY AND GEORGIA PLEASE GO REVEIW THE SHOW AND GIVE IT 5 STARS. WE NEED A SEASON 2 ..

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Answers

Answer:

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Step-by-step explanation:

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Answers

-5
-4
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1
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Answers

Answer:

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Step-by-step explanation:

the line croses through the x,y axis

Answer:

Slope: 2/3

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Thanks for asking tho

I hope your day has been great

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

20*0.65 equals to 13, so shade 13 of them

If x=2 and y=12 evaluate the following expression:y/x

Answers

I think you just do 12/2 which is 6
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Work:
(12)
——
(2)

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Answers

Answer:

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Step-by-step explanation:

Please help! The question and answer choices are attached.

Answers

A is the correct answer
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