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Karo-lina-s [1.5K]
2 years ago
6

What is the value of m in the equation below when j = 24 and n = 3? j = 2mn A. –2 B. 4 C. 6 D. 8

Mathematics
1 answer:
pochemuha2 years ago
3 0

Answer:

B.4

Step-by-step explanation:

Plug in the numbers. it will be 24=2m(4) since u plug in 24 for j and 3 for n. 24=2m(3). This will be 24=6m. Divide by 6. m=4

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Please help with this question asap
stepladder [879]

Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared

In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well.  (180 - 90 -45 = 45)

This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.

So we can say that length of leg1 = x, and the length of leg2 also equals x

Now let's use pythagoras' theorem:

leg1 = x

leg2 = x

hypotenuse = 16

x^2 + x^2 = 16^2

      2x^2 = 16^2

      2x^2  = 256

        x^2 = 128

        x = √(128)

        x = 8√2

3 0
3 years ago
What 's the radius of a circle with an area of 64 square feet
SVEN [57.7K]

Answer:

5.09 ft

Step-by-step explanation:

Use the formula 4πr^2 = 64

6 0
3 years ago
A person is on the outer edge of a carousel with a radius of 20 feet that is rotating counterclockwise around a point that is ce
lubasha [3.4K]
<h2>Answer:</h2>

\boxed{(5(-\sqrt{2}+\sqrt{6}),5(\sqrt{2}+\sqrt{6}))}

<h2>Step-by-step explanation:</h2>

The origin of the coordinate system is the center of the circle. So we have an angle that measures 5\pi/12=75^{\circ}. so the x-coordinate and y-coordinate can be found, by using trigonometry as follows:

x=20cos(5\pi/12)=5\sqrt{6}-5\sqrt{2} \\ \\ Arranging:\\ \\x=5(-\sqrt{2}+\sqrt{6}) \\ \\y=20sin(5\pi/12)=5\sqrt(6)+5\sqrt{2} \\ \\ Arranging:\\ \\y=5(\sqrt{2}+\sqrt{6})

Finally, the exact value of the position of the rider after the carousel rotates 5\pi/12 radians is:

\boxed{(5(-\sqrt{2}+\sqrt{6}),5(\sqrt{2}+\sqrt{6}))}

3 0
2 years ago
Solve using the quadratic formula 5x^2-4x=2
Alexus [3.1K]

Answer: x= ±(√30) / 5

Step by step:




8 0
3 years ago
Solve the equation 4n = 9
aliina [53]

Answer:

n = 9/4 = 2.250

Step-by-step explanation:

Rearrange:     4*n-(9)=0

Solve:  4n-9 = 0

     4n = 9

       n = 9/4 = 2.250

answer:     n = 9/4 = 2.250

6 0
3 years ago
Read 2 more answers
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