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2 years ago

Which of the following is a right triangle?

Mathematics

2 answers:

natali 33 [55]2 years ago

8 0

Answer:

Step-by-step explanation:

the right choice is C

you use c^2=a^2+b^2

where the largest side is the hypotenuse

brilliants [131]2 years ago

3 0

Answer:

a triangle with sides measuring 20, 21, and 29

Step-by-step explanation:

As, √(20)²+(21)² = √400+441 = √841 = 29

The longest side is taken as the hypotenuse. So 29 is the hypotenuse. Which by using Pythagoras' theorem gives us 29 ( h=√b²+p² )

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astraxan [27]

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2 years ago

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lapo4ka [179]

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3 years ago

If f(x)=2x−3 and g(x)=4x+5, what is (f⋅g)(x)?

ludmilkaskok [199]

Answer:

(f⋅g)(x)=8x^2−2x−15

Step-by-step explanation:

To find the expression (f*g)(x), multiply f(x) into g(x) using the distribution property.

(f*g)(x) = (2x - 3)(4x + 5) = 8x² - 12x + 10x - 15 = 8x² - 2x - 15

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3 years ago

The city wants to build a football field. Each wheelbarrow full of dirt covers an area of. Determine how many wheelbarrows full

lesya692 [45]

Answer: $5x^{2}+45x$

Step-by-step explanation:

1. First, you must calculate the area of the football field. It is a rectangle, therefore, multiply the lenght by the width to calculate the area:

$Area=lenght*width\\Area=(10x^{2}+90x)5x^{2}\\Area=50x^{4}+450x^{3}$

2. Then, divide this area by the area covered by a wheelbarrow full of dirt.

$x$ : number of wheelbarrows full of dirt needed for the field.

$x=\frac{50x^{4}+450x^{3}}{10x^{2}}=5x^{2}+45x$

6 0

3 years ago

Which angle forms a y-coordinate on a unit circle of /~3/2 (square root of 3 over 2)

mixer [17]

Answer:

$\theta=60\degree$

$\theta=\frac{\pi}{3}$

Step-by-step explanation:

We want to find the angle which forms a y-coordinate of $\frac{\sqrt{3} }{2}$

on the unit circle.

The y-coordinate on the unit circle is given by $\sin(\theta)$ .

This implies that $\sin(\theta)=\frac{\sqrt{3} }{2}$

$\Rightarrow \theta=\sin^{-1}(\frac{\sqrt{3} }{2})$

$\Rightarrow \theta=60\degree$

$\theta=\frac{\pi}{3}$

3 0

3 years ago