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4 years ago

In a right triangle whose area is 12, each leg is as long as the side of a certain square. What is the area of the square?

2 answers:

6 0

Since the legs are as long as the side of a single square, the legs are congruent.

A = bh/2, but b = h, so

A = b^2/2

b^2/2 = A

b^2/2 = 12

b^2 = 24

b = sqrt(24)

The legs of the right triangle have length sqrt(24).

A = s^2 = (sqrt(24))^2 = 24

Answer: The area of the square is 24.

kakasveta [241]4 years ago

4 0

The area of a Square is 144 because 12x12 is 144 and if both sides are 12 then that equals 144.

Hope this helps!

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You are mixing two kinds of candy to make 10 pounds of a mixture worth $5.50 per pound. One kind is $6 per pound and the other i

Feliz [49]

Answer:

5.60 pounds each

Step-by-step explanation:

This is the dry mixture problem.

Let x = the number of pounds of the first type of candy

Therefore, number of pounds of second type of candy = 10-x

Value of first candy + value of second candy = value of mixture

Value of any candy = cost per pound of candy * weight of candy

Thus:

4x + 6(10 - x) = 5.60(10)

4x + 60 - 6x = 56

-2x + 60 = 56

-2x = -4

x = -4/-2

x = 2

Therefore, the number of pounds of first type of candy = 2 pounds

The number of pounds of second type of candy = 10 - 2 = 8 pounds

Check

$4(2) + $6(8) =

8 + 48 = $5.60(10)

$56 = $56

6 0

3 years ago

Factor completely x^2+11x+24

Juliette [100K]

Answer:

$(x+8)(x+3)$

Step-by-step explanation:

$x^2+11x+24\\\\=(x+s_1)(x+s_2)\\\\and\:we\:have\:that\\\\s_1+s_2=11\\\\s_1s_2=24\\\\so\:by\:guessing\:we\:can\:say:\\\\s_1=8\\\\s_2=3\\\\=(x+8)(x+3)$

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3 years ago

A pilot takes a taxi from the airport to a hotel. The taxi driver charges a 2.50 initial charge +2.65 per mile. Which equation c

Jlenok [28]

Answer:

Step-by-step explanation:

It has an initial charge of 2.50 dollars so you have to pay that before you calculate your miles which is 2.65x. X = the amount of miles you plug into the equation.

3 0

3 years ago

Read 2 more answers

Select the equation that most accurately depicts the word problem. The perimeter of a rectangle is 68 inches. The perimeter equa

BabaBlast [244]

you don't list the options but it should look something like this:

68=2L+2(9)

8 0

3 years ago

Help! Please and thank you (:

ohaa [14]

I thought we finished all of these :-)

Points to look at:
It is shaded above and has a dashed line >
The slope is positive.
The y-intercept is positive.

These equations are different because they aren't set up the same as before. You first have to get them in the y = form.
Some of them we don't have to do all the way because we know that when we divide by a negative the inequality sign will switch and we need a greater than sign (>).
A. y <
B. y <
C. y > 3/7x + 3 > Positive slope and positive y-intercept.
D. y > 3/7x - 3 Letter c

5 0

3 years ago