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3 years ago

Find the missing length of the triangle. If necessary, round your answer to the nearest tenth

Mathematics

1 answer:

maksim [4K]3 years ago

3 0

Answer: 26

Step-by-step explanation:

a² + b² = c² Use Pythagorean Theorem to find the missing length, a & b are the side of a right triangle, and c is the hypotenuse of the right triangle.

10² + 24² = x² In this triangle, the x was the hypotenuse, which is c, plug 10 and 24 into a and b.

100 + 576 = x²

676= x²

rewrite as

x² = 676

√x² = √676 [solve the square root from both side]

x = 26

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3 years ago

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3 years ago

Write an equation of the circle with center (-7, 4) and radius 8.

Stels [109]

answer

(x+7)^2 + (y-4)^2 = 64

set up equation

the equation of a circle is (x - h)^2 + (y - k)^2 = r^2

where h is the center x coordinate and k is the center y coordinate

values

from the point (-7,4) we know that h = -7 and k = 4

since the radius is 8, r^2 = 8^2 = 64

plug in values

now that we have all the values, we plug them into (x - h)^2 + (y - k)^2 = r^2

(x - h)^2 + (y - k)^2 = r^2

(x - (-7))^2 + (y-4)^2 = 64

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3 years ago

If a swimmer swims 85.4 yards in 5 minutes, how many meters will he/ she swim in 70 seconds

DaniilM [7]

Distance swam in 5 minutes = 85.4 yards

Since, 1 min = 60 seconds and 1 yard = 0.91 meter

5 minutes = $5 \times 60 = 300$ seconds

85.4 yards = $85.4 \times 0.91 = 77.7$ meters

So, Distance swam in 300 seconds = 77.7 meters

Now, we will use unitary method to determine the distance swam in 70 seconds.

Distance swam in 1 second = $77.7 \div 300$ = 0.26 meter

So, Distance swam in 70 seconds = $70 \times 0.26$

= 18.2 meters

Therefore, the swimmer took 70 seconds to cover the distance of 18.2 meters.

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3 years ago