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Illusion [34]
2 years ago
6

Find the missing side round your answer to the nearest tenth

Mathematics
1 answer:
grigory [225]2 years ago
7 0

Answer:

x ≈ 14.7

Step-by-step explanation:

Assuming the triangle is right then use Pythagoras' identity.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 15² = 21²

x² + 225 = 441 ( subtract 225 from both sides )

x² = 216 ( take the square root of both sides )

x = \sqrt{216} ≈ 14.7 ( to the nearest tenth )

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A large cheese pizza costs $7.50. Diego has $40 to spend on pizzas. How many large cheese pizzas can he afford? Explain or show
ololo11 [35]

Answer:

5 pizzas

Step-by-step explanation:

He will have $2.50 left over after he buys the 5 pizzas. Hope this helps! Brainliest is appriciated.

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Pleas help me with this
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Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14
Mumz [18]

Answer:

Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})

Step-by-step explanation:

The equation of the curve is

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So, differentiating we get

Y'=\frac{7}{\sqrt{1-49x^2} }

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is  x = \sqrt{\frac{1}{7} }

Then slope would accordingly be

Y'=\frac{7}{\sqrt{1-49/49} }

= ∞

For, x = \sqrt{\frac{1}{7} }, Y = sin^{-1}(7/7)= \pi/2

Equation of tangent line, in the point slope form, would be Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})

4 0
3 years ago
The International Space Station orbits at an altitude of about 250 miles about Earth’s surface. The radius of Earth is approxima
Hatshy [7]
In this case we are dealing with the pythagorean theorm involving right angled triangles. This theorm states that a^2 + b^2 = c^2 which means the square of the hypotenuse (side c, opposite the right angle) is equal to the square of the remaining two sides.

In this case we will say that a = 3963 miles which is the radius of the earth. c is equal to the radius of the earth plus the additional altitude of the space station which is 250 miles; therefore, c = 4213 miles. We must now solve for the value b which is equal to how far an astronaut can see to the horizon.

(3963)^2 + b^2 = (4213)^2
b^2 = 2,044,000
b = 1430 miles.

The astronaut can see 1430 miles to the horizon.
8 0
3 years ago
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