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3 years ago

In the triangle below, determine the value of a.

Mathematics

1 answer:

makkiz [27]3 years ago

4 0

Answer:

Step-by-step explanation:

This is classic right triangle trig. Side a, our unknown, is adjacent to angle C which is a given. You always have to use a given angle and side to find a missing side, so we have to figure out how the two givens are related to our unknown. Side a is adjacent to angle C, and we are also given the hypotenuse. We know side a is not the hypotenuse since the hypotenuse is ALWAYS the side across from the 90 degree angle. The tan ratio of angle C will give us a way to have only one unknown.

tan 43 = a/26 and

26 tan 43 = a

Use your calculator now to find the missing side.

a = 24.2 units long

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What are the partial products for 43 x 17

Lelechka [254]

The partial products would be 10 multiply 40, 10 multiply 3, 7 multiply 40, and 7 multiply 3.

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3 years ago

The length of a rectangular swimming pool is twice as long as its width. If the perimeter of the pool is

Nitella [24]

The perimeter of a rectangle is the sum of its sides, which are two widths and two lengths:

$p=w+w+l+l$

Since the length is twice the width, we have $l=2w$ , and the formula for the perimeter becomes

$p=w+w+2w+2w=6w$

So, we have

$6w=120 \iff w=\dfrac{120}{6}=20$

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3 years ago

Which of the binomials below is a factor of this trinomial?

Leokris [45]

Answer:

x+5 is the factor..

Step-by-step explanation:

xsquare + (8+5)x + 40

or, xsquare +8x+5x+40

or, x(x+8)+5(x+8)

(x+5)(x+8)

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4 years ago

An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A.

vova2212 [387]

Answer:

10 ounces of milk and 50 ounces of orange juice

Step-by-step explanation:

Let the amount of milk be x ounces and the amount of orange juice be y ounces.

1. An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A. Then x ounces of milk contain 20x milligrams of calcium and 60x micrograms of vitamin A.

2. An ounce of orange juice contains 40 milligrams of calcium and 10 micrograms of vitamin A. Then y ounces of orange juice contain 40y milligrams of calcium and 10y micrograms of vitamin A.

<u>Calcium:</u>

20x milligrams in milk

40y milligrams in orange juice

2,200 milligrams in total

Hence,

$20x+40y=2,200$