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2 years ago

Find the measure of angle A (Please provide work)

Mathematics

1 answer:

sdas [7]2 years ago

3 0

Kind of angle is 1?
acute angle-an angle between 0 and 90 degrees.

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A stick 43 inches long is broken into two pieces, so that one piece is twice as long as the other. How long are the two pieces?

allsm [11]

Answer:

One piece is $\frac{43}{3}$ inches and another piece is $\frac{86}{3}$ inches

Step-by-step explanation:

Let smaller piece length be $s$

Let larger piece length be $l$

Since total of two pieces is 43, we can write:

$s+l=43$

Also, one piece is twice as long as the other (so longer piece is definitely twice as the short piece), we can write:

$l=2s$

Substituting equation 2 into equation one, we can solve for s:

$s+l=43\\s+(2s)=43\\3s=43\\s=\frac{43}{3}$

Thus longer piece is:

$l=2s=2(\frac{43}{3})=\frac{86}{3}$

3 0

2 years ago

54 ft = ____ yd 9. 11 L ≈ ____ qt 10. 80 g = ____ kg i need help with this

Alexxandr [17]

Answer:

54 ft = 18 yd 9. 11 L ≈ 11.6236 qt 10. 80 g = 0.08 kg

Step-by-step explanation:

3 0

2 years ago

What is the value of x? A. 52/3 B.3/4 C.17 D. 52/7

MrRa [10]

Answer:

Step-by-step explanation:

look at the x and y axis

5 0

2 years ago

A swimming pool holds 480,000 liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe

sweet-ann [11.9K]

The answer is 96 min, here is why:

x / 240 + x / 160 = 1
2x + 3x = 480 
5x = 480 
x = 96 min

(Drainage rate of first pipe = 480000/240 = 2000 l/min 
Drainage rate of second tube = 480000/160 = 3000 l/min 
Combined drainage rate = 5000 l/min 
Time to drain = 480000/5000 = 96 min. )

8 0

2 years ago

An aeroplane at an altitude of 200m observes the angle of depression of opposite points on the two banks of a river to be 45 and

blagie [28]

Answer:

84.5 m

Step-by-step explanation:

It is often helpful to draw a diagram for word problems involving geometric relationships. One for this problem is shown below.

The mnemonic SOH CAH TOA reminds you of the relationship between sides of a right triangle:

Tan = Opposite/Adjacent

Here we're given angles of depression measured from the horizontal (as shown in the diagram), but it is more convenient to use angles measured from the vertical. In particular, ∠BAO is the complement of 60°, and its tangent is the ratio OB/OA:

tan(30°) = OB/OA

OB = (200 m)·tan(30°) ≈ 115.47 m . . . . . . multiply by OA, use OA=200 m

Likewise, we have ...

OC = (200 m)·tan(45°) = 200 m

Then the width of the river is the difference between these values:

BC = OC -OB = 200 m - 115.47 m = 84.53 m

4 0

3 years ago