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3 years ago

If the legs of a right triangle have length of 6 inches and 8 inches, what is the length of the hypotenuse in inches?

Mathematics

2 answers:

Andrews [41]3 years ago

5 0

Use the pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

6^2 +8^2 = c^2

36+64 = c^2

100 = c^2

10=c

Choice C

Ksju [112]3 years ago

3 0

C. 10

Hope this helps:)

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write an equation of a line that is perpendicular to the given line and that passes through the given point (4,-6); m=3/5

tresset_1 [31]

Answer:

$y=-\frac{5}{3} x-\frac{42}{5}$

Step-by-step explanation:

Given the slope and another point, simply plug them into the point-slope formula to find your y-intercept.

$y-y1=m(x-x1)\\y-(-6)=\frac{3}{5} (x-4)\\y+6=\frac{3}{5} x-\frac{12}{5} \\y=\frac{3}{5} x-\frac{42}{5}$

Now that we've found your y-intercept, we have the original equation. To find the perpendicular equation, you need the opposite reciprocal of your slope.

To find the 'opposite,' change your slope's sign. Since your slope is positive $\frac{3}{5}$ , the opposite is $-\frac{3}{5}$ .

To find the 'reciprocal,' flip your fraction. This will make your slope $-\frac{5}{3}$ .

Your final equation is:

$y=-\frac{5}{3} x-\frac{42}{5}$

7 0

3 years ago

Nick made his histogram showing the number of sport caps each of his friends own.

pickupchik [31]

Answer:

A. 7

Step-by-step explanation:

2 or 3 caps = 13

6 or 7 caps = 6

13 - 6 = 7

- hope this helps! -

3 0

2 years ago

maple syrup worth $6.00 a gallon and corn syrup worth .80 cents a gallon are used to make a mixture worth $2.36 a gallon. How ma

WITCHER [35]

maple syrup = x

corn syrup = 50-x

6x + 0.8(50-x)=2.36*50

6x+40-0.8x=118

5,2x=78

x= 15 gallons of maple syrup

50-15 = 35 gallons of corn syrup

4 0

3 years ago

The amount of money in Mark's bank account after x months is given by the function

Murrr4er [49]

Y=mx+b
Mx is the rate of change
B is your starting point
Started with 1000, A
-200 is the rate of change, D

4 0

3 years ago

On average, 240 customers arrive at a bank every morning (8AM - noon), but they do so randomly (i.e., not exactly every minute).

arlik [135]

Answer:

3.4 minutes

Step-by-step explanation:

Every morning there are expected 240 customers who arrive at bank for the customer service. There are on average 240 customers arriving to the bank every morning. There are total 5 bank tellers and they take average 3 minutes to help customer. The average time each bank teller spends on satisfying a customer will be calculated using the linear model,

Using wait time calculator:

Average service time / standard deviation

Ce = 3/1.5 = 2

The spent time on a customer is 3.4 minutes.

7 0

3 years ago