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3 years ago

EERS

Mathematics

1 answer:

Doss [256]3 years ago

6 0

Answer:

Step-by-step explanation:

Your formatting is unclear. Do you mean (54⁴)? or (5⁴)⁴ ?

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Pls only answer if yk it ill give correct one BRAINLIEST!!

Dmitry [639]

Answer:

X=10, x=4

Step-by-step explanation:

first, divide 14 by 2, and square it; giving you

x^2-14x+(7)^2=-40

Because 7^2 is 49, you have to add 49 to the other side; giving you

x^2-14x+(7)^2=9

Then factor the left side; giving you (x-7)^2=9

Take the square root of both sides, giving you

(x-7)^2= plus or minus 3

Then solve to get two solutions, 10 and 4

8 0

3 years ago

a garden is in the shape of a square with a perimeter of 60 feet. the garden is surrounded by two fences. one fence is around th

Anon25 [30]

Answer: The total cost of the fences=$165.6

Step-by-step explanation:

Let a = the length of the side if the square.

The perimeter of the square is 60 ft

4a = 60ft

divide both sides by

4a = 60/4

a = 15 ft

The garden is surrounded by two fences, one fence is around the perimeter of the garden, whereas the second fence is 3 feet from the first fence on the outside

Expand to get:

4*a + 4(a + 2*3)

Replace a with 15 to get:

= 4*15 + 4(15 + 6) 60 + 4(21) 60+84

= 144ft

The cost of the fence is $1.15 per foot

The cost of 144 ft fence will be:

= 144*1.15

= $165.6

Learn more about event correlation here: brainly.com/question/1333555

#21165

7 0

1 year ago

Samantha ran on a fitness track for 20 min, and then walked for 15 min. Her running rate was 230 ft per minute faster than her

Mnenie [13.5K]

Answer:

560 ft/min

Step-by-step explanation:

Let r represent Samantha's running rate in feet per minute. Then r-230 is her walking rate. We can use the relation ...

distance = speed × time

to write an equation for the total distance Samantha went.

20r + 15(r -230) = 16150

35r - 3450 = 16150 . . . . eliminate parentheses, collect terms

35r = 19600 . . . . . . . . . . add 3450

r = 560 . . . . . . . . . . . . . . divide by the coefficient of r

Samantha ran 560 feet per minute.

5 0

3 years ago

What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth

EleoNora [17]

Check the picture below.

so... you can pretty much see how long RS and QT are, you can just count the units off the grid.

now, let's find QR's length

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&Q&(~ 8 &,& 8~) 
% (c,d)
&R&(~ 14 &,& 16~)
\end{array}~~ 
% distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
QR=\sqrt{(14-8)^2+(16-8)^2}\implies QR=\sqrt{6^2+8^2}
\\\\\\
QR=\sqrt{36+64}\implies QR=\sqrt{100}\implies QR=10$

and let's also find the length for ST

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&S&(~ 20 &,& 16~) 
% (c,d)
&T&(~ 22 &,& 8~)
\end{array}~ 
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
ST=\sqrt{(22-20)^2+(8-16)^2}\implies ST=\sqrt{2^2+(-8)^2}
\\\\\\
ST=\sqrt{4+64}\implies ST=\sqrt{68}\implies ST=\sqrt{4\cdot 17}
\\\\\\
ST=\sqrt{2^2\cdot 17}\implies ST=2\sqrt{17}$

so, add the lengths of all sides, and that's the perimeter of the trapezoid.