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4 years ago

How do I solve this using the Pythagorean theorem and leaving it in radical form ?

Mathematics

1 answer:

scoray [572]4 years ago

7 0

If the legs of a right triangle are a and b and the hypotnuse is c then
a²+b²=c²

so we are given
the legs are x and √7
and the hypotnuse is √19
so

x²+(√7)²=(√19)²
x²+7=19
minus 7 both sides
x²=12
sqrt both sides
x=√12
x=√(4*3)
x=(√4)(√3)
x=2√3

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The data set below provides the monthly rent (in dollars) paid by 5 tenants. 879 , 920 , 940 , 950 , 990 Suppose the rent for on

MrRa [10]

Answer:

Mean before the rent changes = $935.8

Mean after the rent changes = $970.8

Step-by-step explanation:

Mean = sum of all data values / number of data values in a given data set

✔️Data set consisting of the rents of 5 tenants: 879 , 920 , 940 , 950 , 990

Mean before the rent changes = (879 + 920 + 940 + 950 + 990)/5 = 4,679/5 = 935.8

Mean before the rent changes = $935.8

✔️If one of the tenants rent changes from $940 to $1,115, the new data set would be:

879 , 920 , 1,115 , 950 , 990

Mean after the rent changes = (879 + 920 + 1,115 + 950 + 990)/5 = 4,854/5 = 970.8

Mean after the rent changes = $970.8

4 0

3 years ago

3x + 10 = 5(x – 17) how do i solve this? any easy examples?

Andreas93 [3]

Answer:

x= 95/2 or x=47.5 or 47 1/2

Step-by-step explanation:

3x + 10 = 5(x - 17)

First Step:

multiply and combine the right side (parentheses)

5 times x = 5x 5 times -17 = -85

3x + 10 = 5x -85

Second Step:

Add like terms ----> which is: 3x and 5x -----10 and -85

BUT since you only want one x on one side, you combine x first.

3x + 10 = 5x -85

-5x -5x

-2x + 10 = -85

NOW

Third Step: Add the integers---> 10 and -85

you want to get 10 on the same side as the -85, so you subtract it from BOTH sides.

which brings you:

-2x + 10 = -85

-10 -10

NOW that we've subtracted -10 from -85 it's technically just adding 85 and 10 then putting a negative sign on it.

so now we have:

-2x = -95

Step Four:

divide -2 from each side to get X alone

-2x = -95

-2 -2

ANSWER:

x=47.5

6 0

3 years ago

Pleaseeeee helppppp will mark you as brainlist

forsale [732]

Answer:

The length of the hypotenuse is 91.7

Step-by-step explanation:

To Solve this we first need to distribute the x to the base and side of the triangle, 6(13) + 5 = 83 & 3(13) = 39

Now we use pythagorean theorem, A squared + B squared = C squared.

83 squared = 6889

39 squared = 1521

Now add them up

6889 + 1521 = 8410

Now since it is C squared, we need to find the square root to get C.

The square root of 8410 = 91.7060521 or to round the tenth, 91.7

(っ◔◡◔)っ ♥ Hope It Helps ♥

8 0

3 years ago

Look at the image below for the question !!!!!!

Semenov [28]

Answer:

136 cm2

Step-by-step explanation:

6*2=12 12*2=24

6*7=42 42*2=84

7*2=14 14*2=28

Add.

24+84+28=136

I hope this helps!

4 0

3 years ago

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

ZanzabumX [31]

Answer:

1in :4mi

Step-by-step explanation:

4 0

3 years ago