I need some math help

Mathematics

1 answer:

Naya [18.7K]2 years ago

7 0

Answer:

21 miles

Step-by-step explanation:

This is a two part problem, first, use triangle BAC to get your Angle A.

Angle A = 23.6

Length AB = 2√305

Now plug in your Angle A and find Angle B which is 66.4

The sum of all the angles in a triangle is 180

23.6+90+B=180

Then find Length AD

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin(B) = opp/hyp

sin(B) = 48 / AD

AD = 48/sin(66.4)

AD = 52.3

Now find last side DE of the triangle using the Pythagorean theorem.

DE^2 + AE^2 = AD^2

DE^2 = AD^2 - AE^2

DE^2 = 52.3^2 - 48^2

DE = 20.97

You might be interested in

A polyhedron with two parallel congruent faces called bases connected by parallelogram faces is called a...

lisov135 [29]

Answer:

right prism

Step-by-step explanation:

If the faces are rectangles, then this prism is called a "right prism"

4 0

2 years ago

Jose wants to rewrite 24+9 using the greatest common factor and the distributive property. Which expression should he write?

Reil [10]

First get the factors of 24: 2*2*2*3Then the factors of 9: 3*3 Comparing the factors, the GCF is 3 Then you can rewrite the expression: 3*8 + 3*3 At this point, I'm not sure whether what you mean is really distributive property or not since this case is more of a factoring. 3*(8+3)

4 0

2 years ago

A skateboarder starting from rest accelerates down a ramp at 2 m/s for 2 s. What is the final speed of the skateboarder

Sedaia [141]

Initial speed of the skateboard (u) = 0 m/s (Starts from rest)

Acceleration of the skateboard (a) = 2 m/s²

Time taken by the skateboard (t) = 2s

By using equation of motion, we get:

$\bf \longrightarrow v = u + at \\ \\ \rm \longrightarrow v = 0 + 2 \times 2 \\ \\ \rm \longrightarrow v = 4 \: m {s}^{ - 1}$