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alexgriva [62]
3 years ago
12

Find the length of the leg. If your answer is not an integer, leave it in simplest radical form

Mathematics
1 answer:
Setler [38]3 years ago
7 0

Step-by-step explanation:

{14}^{2}  = 2 {a}^{2}  \\ 2 {a}^{2}  = 196 \\  {a}^{2}  = 98 \\  a = \sqrt{98 }  =  \sqrt{49 \times 2}  \\  =  7 \sqrt{2}

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The wind force f on a sail varies jointly as the area a of the sail and the square of the wind speed w.
blondinia [14]

Answer:

  122.5 lbs

Step-by-step explanation:

The relation between force, wind speed, and area can be written ...

  f = ks²a

for some wind speed s and area a.

__

The constant of proportionality, k, can be found from the given data.

  64.8 = k(18²)(500) . . . force in pounds, area in square feet, speed in mph

  k = 64.8/(324×500) = 0.0004

__

Using the equation with the second set of data, we have ...

  f = 0.0004(35²)(250) = 122.5 . . . . pounds

The force on the 250 square foot sail would be 122.5 pounds.

4 0
2 years ago
A machine can make 56 parts in 4 hours.It can also make 70 parts in 5 hours. Write an equation that relates the number of parts
ira [324]

Answer:

126 parts in 9 and a half hours

Step-by-step explanation:

56 parts in 4 hours

that means 56 parts in 240 mins

9 hours and 30 minutes in minutes is 570 minutes

56m parts:240 mins

                 540 mins

to get to 540 from 240, you multiply by 2.25.

you can work this out by doing 540 divided by 240

now, multiply 56 by 2.25.

the answer is 126 parts

5 0
3 years ago
When you went to sleep, the temperature was −2.8°C.
galben [10]

D

The larger the number the warmer it is

7 0
3 years ago
The courtyard outside East Middle School is in the shape of a rectangle and half-circle.
Nadya [2.5K]

Answer:

The correct option is the third one counting from the top. (5892 m^2)

Step-by-step explanation:

First, we need to remember that:

For a rectangle of length L and width W, the area is:

A = L*W

For a circle of diameter D, the area is:

A = pi*(D/2)^2

Where pi = 3.14

In the image, we can see a rectangle and half a circle, the total area of the image will be equal to the area of the rectangle plus the area of the half circle.

In the image, we can see a rectangle of length L = 100m and width W = 50m

Then the area of the rectangle is:

A = 100m*50m = 5000m^2

And we can see that for the half-circle the diameter is D = 50m

Note that the area of a half-circle is half of the area of a complete circle, then the area of that half-circle is:

A = (1/2)*(3.14*(50m/2)^2) = 981.25 m^2

If we add these two areas we get:

Total area =  5000m^2 + 981.25 m^2 = 5981.25 m^2

If we round it up, we get:

Total area = 5982 m^2

The correct option is the third one counting from the top.

8 0
3 years ago
Help me please please please​
Helen [10]
1. 0.75
2. 0.54
3. 0.1875
4. 0.25
5. 016
3 0
3 years ago
Read 2 more answers
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