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Svetach [21]
2 years ago
7

Amy has a triangle with side lengths of 6 and 8. What is the length of the hypotenuse.

Mathematics
1 answer:
Alex787 [66]2 years ago
8 0

Hello There!

The length of the hypotenuse is 10.

We know what 2 sides are 6 and 8.

To find the third side we use the formula a^2 + b^2 = c^2

So we multiply 6 by 6 which equals 36 and then multiply 8 by 8 which equals 64.

Next we add 64 and 36 together and we get 100.

Next, we square root 100 and get 10.

10 is the length of the hypotenuse.

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The fountain is made up of two semicircles and a quarter circle. Find the perimeter and the area of the fountain. Round the peri
Andrej [43]
FOUND THE COMPLETE QUESTION IN ANOTHER SOURCE.ATTACHED IMAGE.
 For this case what we have is the following:
 For the two semicircles we can model it as a complete circle.
 We have to then:
 
 Perimeter: 
 P = 2 * pi * r
 or
 P = pi * d
 Where,
 r = radius
 d = diameter
 Therefore the perimeter is:
 P = 10 * pi
 For the largest circle we have:
 radius = 10
 Perimeter:
 P '= 2pi10
 P '= 20pi
 1/4 since 1/4 circle:
 P '' = 20pi / 4 = 5pi
 Then, the total perimeter of the source is:
 Pt = P + P '' = 10pi + 5pi = 15pi
 Pt = 15 * (3.141592)
 Pt = 47.1239
 round
 Pt = 47.1 ft

 Area:
 The total area will be:
 A = A (two semicircles) + A (quarter big circle)
 A = (pi / 4) * (d ^ 2) + (1/4) * pi * r ^ 2
 A = (pi / 4) * ((10) ^ 2) + (1/4) * pi * (5) ^ 2
 A = 98.17477042 feet ^ 2
 Round:
 A = 98.2 feet ^ 2

 Answer: 
 Perimeter of the source: 
 Pt = 47.1 ft 
 Area of the source: 
 A = 98.2 feet ^ 2

5 0
2 years ago
A scientist has saline solutions with concentrations of 4% and 14% . He wants to mix some of each solution to get 65 milliliters
Komok [63]
Let volume of 4% solution = x and of 14% be y

them x + y = 65........(1)    also  using the actual weights of  salt:-

0.04x + 0.14y  =  65*0.06 = 3.9

multiplying the above equation by  -25 we have

-x - 3.5y = -97.5    adding this to equation (1)

--2.5y = -32.5
y= 13 

and x = 65 - 13 = 52

so we need 13 mls of the 14%,  and 52 mls of the 4% solution.
8 0
2 years ago
PLEASE HELP!! DUE SOON!!
ryzh [129]

Answer:

Do you still need help??

Step-by-step explanation:

5 0
3 years ago
Through: (-1.-5). slope - 3 what is the slope intercept form of the equation ​
Margaret [11]

Answer:

y= -3x+2

Step-by-step explanation:

y - ( - 5) =  - 3(x - ( - 1)) \\ y + 5 =  - 3x  - 3 \\ y =  - 3x + 2

4 0
3 years ago
1.1.34
mart [117]
I don’t think this question can be solved without the measurements of the box. If you could re-upload this question with a picture of the box or with the measurements that would be great :)
4 0
3 years ago
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