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nordsb [41]
3 years ago
10

What is the length of the hypotenuse?

Mathematics
2 answers:
aniked [119]3 years ago
7 0

Answer:

c = 85 yards.

Step-by-step explanation:

Since this is a right triangle, we can use Pythagorean Theorem to solve for c.

a^2+b^2=c^2\\51^2+68^2=c^2\\2601+4624=c^2\\7225=c^2\\\sqrt{7225}=c\\85=c

klasskru [66]3 years ago
3 0

Answer:

85 yd

Step-by-step explanation:

As this is a right triangle, we can use the Pythagorean Theorem to find the length of the hypotenuse:

(51 yd)^2 + (68 yd)^2 = c^2, or:

(2601 + 4624) = c^2 = 7225

Then the length of the hypotenuse, c, is √7225 yd = 85 yd

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the graph shows your budget and the total cost of x gallons of gasoline and a car wash you want to determine the possible amount
Yuki888 [10]

Answer:

Part a) The budget is $40

Part b) The cost of one gallon of gasoline is $3.55 and the cost of the car wash is $8

Part c) x \leq 9.01\ gal

Part d) see the explanation

Step-by-step explanation:

The complete question in the attached figure

Part a) What is your budget?  

The budget is given by the equation

y=40

therefore

The budget is $40

Part b)  How much does a gallon of gasoline cost? how much does a car wash cost?

Let

y ------> the cost of a gallon of gasoline plus the cost of a car wash

x -----> the amount of gasoline in gallons

we have

y=3.55x+8

In this problem

For x=0

y=3.55(0)+8=8

The y-intercept is the cost of the car wash

so

The cost of the car wash is $8

Find the cost of one gallon of gasoline

we know that

The slope of the linear equation is

m=$3.55 per gallon

therefore

The cost of one gallon of gasoline is $3.55

Part c) Write an inequality that represent the possible amounts of gasoline you can buy

we have

3.55x+8 \leq 40

Solve for x

3.55x \leq 40-8

3.55x \leq 32

x \leq 9.01\ gal

Part d) Use the graph to estimate the solution of the inequality in part c)

we have the system

y=40

y=3.55x+8

The solution of the system is the intersection point both graphs

Looking at the graph the intersection point is about (9,40)

That means ----> The maximum amount of gasoline you can buy with the budget is about 9 gallons

7 0
3 years ago
Please help!!!! solve for x showing EACH STEP<br> please!!
brilliants [131]

cant see the pic

please type out the question

so that i can help u

7 0
3 years ago
Read 2 more answers
I NEED HELP AS SOON AS POSSIBLE
Xelga [282]
The answer is D. 200m = 2cm. That's because to get from meters to centimeters, you need to multiply by 100. 200 * 100 is not 2, therefore D is the answer. 
8 0
3 years ago
Read 2 more answers
For pmalachi for answering my question
Nikolay [14]
I’m very confused lol.
5 0
3 years ago
What is the product?<br> 3x [-6 -11<br> 1-14 -9]
Alla [95]

Answer:

9.99

Step-by-step explanation:

8 0
3 years ago
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