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Elan Coil [88]
3 years ago
7

Find the diagonal of a rectangular frame which measures 77 in. by 36 in.

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0

Answer:

85

Step-by-step explanation:

think about the diagonal of the frame, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (77, and 36) and now we have to solve fro the hypotenuse (or the diagonal). so use pythagorean theorem :

77^2 + 36^2 = c^2

7225 = c^2

c = 85

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72=8×9 times as many
Alexeev081 [22]

Answer:

9x8=72

Step-by-step explanation:

Your welcome

4 0
3 years ago
She worked a total of 15 hours. If she makes $15 per hour tutoring and $9 per hour at the grocery store and made a total of $159
Ugo [173]

Answer:

11 hours she worked at the grocery store

Step-by-step explanation:

assuming,

the number of hours worked at tutoring = x

the number of hours worked at grocery store = y

which means,

the amount she made at tutoring = x* $15

the amount she made at grocery store = y*$9

we have 2 equations

<em>total number of hours</em>

1) x+y= 15  

<em>total amount she earned</em>

2) x* $15+ y* $9= $159

From equation 1

x+y= 15  

x=15-y

<em>we replace this x value in equation 2</em>

x* $15+ y* $9= $159

(15-y)* $15+ y* $9= $159

(15*15)- 15y+9y=159

225-6y=159

225-159=6y

66=6y

66/6=y

<u>11=y</u>  <em>the number of hours she worked at grocery store. </em>

<em>we place y=11 in our derived x equation</em>

x=15-y

x=15-11

<u><em>x=4 </em></u><em>the number of hours she worked at tutoring. </em>

3 0
3 years ago
How many different four lettered codes can be formed if the first letter must be an S or a T
emmainna [20.7K]

Answer:

27,600

Step-by-step explanation:

We use the following formula:-  

Number of permutations of r from n

= nPr

= n! / (n-r)!

I am assuming you don't allow repeated letters in the 4 letter codes.

Take S as the first letter. Then we have 3 letters extra out of 25 letters.

Using the above formula the possible ways of doing this is

25! / (25 - 3)!

25! / 22!

= 25*24*23

= 13800.

The same number is obtained if the first letter is a T.

So the answer is 2*13800

= 27,600

8 0
3 years ago
Which linear function represents the table?
NemiM [27]

Answer:  C) y = -7x + 7

Step-by-step explanation:

The formula produces the same numbers that appear on the table.  

<u>x</u>   <u>y calculated</u>

6       -35

-2        21

-1         14

1            0

-6        49

4 0
2 years ago
A bus driver drives a bus 72 miles. the bus uses 6 gallons of gas to make the trip. how many miles can the bus travel with just
pentagon [3]
Do 72 divided by 6 to get 12 so the answer is D
6 0
3 years ago
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