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3 years ago

can someone help me with this problem, please? Solve the triangle. Round decimal answers to the nearest tenth.

Mathematics

1 answer:

Novay_Z [31]3 years ago

3 0

Answer:

A is about 37.6 degrees

B is about 38.4 degrees

a is about 15.7 units

Step-by-step explanation:

Using the law of sines, you know that:

$\dfrac{\sin 104}{25}=\dfrac{\sin B}{16}$

$B\approx 38.4^{\circ}$

Since all of the angles of a triangle add up to 180 degrees, angle A must be 180-104-38.4=37.6 degrees.

Finally, for side a:

$\dfrac{\sin 104}{25}=\dfrac{\sin 37.6}{a}$

$a\approx 15.7$

Hope this helps!

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Explanation:

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3 years ago

On a recent trip to the convenience store, you picked up 3 gallons of milk, 6 bottles of water, and 8 snack-size bags of chi

SVETLANKA909090 [29]

Answer:

The answers to the question are as follows

A bottle of water costs $2.00

A gallon of mik cots $4.10 and

A bag of chips costs $1.00

Step-by-step explanation:

To solve the question, it is important to note that it is a word problem hence we read the question carefully to clearly understnd and be able to interprete the message from any perspective

We list out the variables as follows

Number of gallons of milk = 3

Number of bottles of water = 6

Number of chips bags = 8

Bill before tax = $32.30

Price of a bottle of water = twice the price of a bag of chips

Price of a gallon of mlk = $ 2.10 + price of a bottle of water

Therefore in order to find out how much each item costs let us call the price of bottle of water $x say

This means that the price of a bag of chips = x/2 and

The price of a gallon of milk = x + $2.10

Therefore we have by multiplying the prices of the items to their respective quantities and summing up

$(6x + 3(x+2.1)+ 8 x/2) = $32.3

This gives by expanding the values 6x+3x+6.3+4x =32.3

13x+6.3 =32.3

13x = 32.3 - 6.3 = 26

Dividing both sides by 13 gives

x = $2.00

This means that a bottle of water costs $2.00

A gallon of mik cots $2.00+$2.10 = $4.10

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3 years ago

Paul can install a 300 hundred square foot hardwood floor in 18 hours. Matt can install the same floor in 22 hours. How long wou

Vadim26 [7]

ANSWER

Paul and Matt will take
$9.9 \: \: hours$
to install the floor working together.

EXPLANATION

First, calculate Paul's rate, which is

$= \frac{1}{18}$

Next, calculate Matt's rate, which is,
$= \frac{1}{22}$

Let us assume that, Paul and Matt took
$x \: hours$
to do the work together.

Then, the rate of working together is,

$= \frac{1}{x}$

Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.

$\frac{1}{18} + \frac{1}{22} = \frac{1}{x}$

Simplify the left hand side

$\frac{11 + 9}{198} = \frac{1}{x}$

$\frac{20}{198} = \frac{1}{x}$

We reciprocate both sides to get (You could have also done cross multiplication).

$\frac{198}{20} = \frac{x}{1}$

$x = 9.9 \: hours$