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kodGreya [7K]
3 years ago
11

The equation tan(55) = 15/b can be used to find the length of line AC.what is the length of line AC round to the nearest 10th 3.

0in 9.8in 10.5n 12.8i
Mathematics
2 answers:
umka21 [38]3 years ago
8 0

Answer:

C

Step-by-step explanation:

ed2020

Nadusha1986 [10]3 years ago
7 0

Answer:

10.5 in

Step-by-step explanation:

Given

tan(55) = \frac{15}{b}

Required

Find length AC

The question is not detailed enough; so, I'll assume that b represents line AC.

Having said that;

We start by multiplying both sides by b

tan(55) = \frac{15}{b}

b * tan(55) = \frac{15}{b} * b

b * tan(55) =15

Divide both sides by tan(55)

\frac{b * tan(55)}{tan(55)} = \frac{15}{tan(55)}

b = \frac{15}{tan(55)}

Find tan(55)

b = \frac{15}{1.42814800674}

b = 10.5031130731

b = 10.5  <em>(Approximated)</em>

<em />

Length AC is 10.5

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Step-by-step explanation:

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8.10÷4.50= 1.8 pounds.

Hope this helped.

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6 0
2 years ago
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The cost price of a box and a pen is Rs 80 The box is sold at 10% profit and the pen is sold at 20% loss. If the selling price o
uysha [10]

Answer:

61.84%

Step-by-step explanation:

Let the cost of the box be x. Since the price of the box and the pen is Rs 80, the pen's price can be represented as 80 - x. The box is sold at a ten percent profit, and an added ten percent is equal to 1.1. Therefore, the price the box sells at is 1.1(x). A 20% loss is the same a keeping 80% or multiplying by 0.8. This means the pen sold at 0.8(80 - x). Now, we are given the box went for Rs 28 more than the pen, so we can create an equation:

1.1x = 0.8(80 - x) + 28

We can simplify and solve:

1.1x = 64 - 0.8x + 28

1.9x = 92

x = 92/1.9

x = 920/19

The cost of the box after the increase would be 1.1(920/19) and the pen would be 0.8(80 - 920/19).

The sum of these two can be written as a percent x of 80.

80x = 0.8(80 - 920/19) + 1.1(920/19)

80x = 64 - 0.8(920/19) + 1.1(920/9)

80x = 64 - 0.3(920/19)

80x = 64 - 276/19

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4 0
3 years ago
In the given right triangle find the missing length 24m 10m c
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A large container holds 8 gallons of water. After 56 minutes the container only has 1 gallon of water left. At what rate is the
Korvikt [17]

Answer:

The rate at which water leaking is \frac{1}{8} gal/min.

Step-by-step explanation:

Given:

A large container holds 8 gallons of water.

After 56 minutes the container only has 1 gallon of water left.

Now, to find at what rate is the water leaking.

So, water leaked from the container = 8 gallons - 1 gallon = 7 gallons.

Time taken for leakage = 56 minutes.

<em>Now, to get the rate:</em>

\frac{Gallons\ of\ water\ leaked}{Time\ taken\ for\ leakage}

=\frac{7 gallons}{56 minutes}

=\frac{1 gallon}{8 minutes}

The rate = \frac{1}{8} gal/min.

Therefore, the rate at which water is leaking is \frac{1}{8} gal/min.

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3 years ago
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