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Softa [21]
3 years ago
12

Anyone can help me with math for solving for a side in the right triangles for khan academy

Mathematics
1 answer:
Elden [556K]3 years ago
6 0

Answer:

7.45

Step-by-step explanation:

We are given a right triangle with one side length known and an angle know so we can use some trigonometry.

You need to find the hypotenuse so you are going to use either sine or cosine.

Since the adjacent from the angle is given (SOH-CAH-TOA) we can use cosine so,

cos(20) = 7/h

=>h = 7/cos(20)

=> 7.44924

=> 7.45

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About 5 times.........
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3 years ago
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A boat that can travel 18 mph in still water can travel 21 miles downstream in the same amount of time that it can travel 15 mil
svlad2 [7]

Hey there! I'm happy to help!

We see that if the river isn't moving at all the boat can move at 18 mph (most likely because it has an engine propelling it.)

We want to set up a proportion where our 21 miles downstream time is equal to our 15 miles upstream time so we can find the speed. A proportion is basically showing that two ratios are equal. Since our downstream distance and upstream distance can be done in the same amount of time, we will write it as a proportion.

We want to find the speed of the river. We will use r to represent the speed of the river. When going downstream, the boat will go faster, so it will have a higher mph. So, our speed going down is 18+r. When you are going upstream, it's the opposite, so it will be 18-r.

\frac{distance}{speed} =\frac{21}{18+r} = \frac{15}{18-r}

So, how do we figure out what r is now? Well, one nice thing to know about proportions is that the product of the items diagonal from each other equals the product of the other items. Basically, that means that 15(18+r) is equal to 21(18-r). This is a very nice trick to solve proportions quickly. We see that we have made an equation and now we can solve it!

15(18+r)=21(18-r)

We use the distributive property to undo the parentheses.

270+15r=378-21r

We subtract 270 from both sides.

15r=108-21

We add 21 to both sides.

36r=108

We divide both sides by 36.

r=3

Therefore, the speed of the river is 3 mph.

You also could have noticed that 18mph to 21 mph is +3, and 18mph to 15 mph -3 in -3 mph, so the speed of the river is 3 mph. That would have been a quicker way to solve it XD!

Have a wonderful day!

3 0
3 years ago
What is the area of the trapezoid in the coordinate plane?​
Marina CMI [18]

Answer:

36 unit^2

Step-by-step explanation:

the area of the rectangular portion = 8 x 3 = 24 unit^2

the area of the triangular portion = 1/2 x 8 x 3 = 12 unit^2

total area of the trapezoid = 36 unit^2

3 0
3 years ago
A bag contains 15 marbles. The probability of randomly selecting a green marble is One-fifth. The probability of randomly select
dsp73

Given:

Total number of marbles = 15

Probability of randomly selecting a green marble = \dfrac{1}{5}.

Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble = \dfrac{2}{25}.

To find:

The number of blue marbles.

Solution:

Let the number of blue marbles be x.

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

P(Blue)=\dfrac{x}{15}

It is given that,

P(Green)=\dfrac{1}{5}

Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is \dfrac{2}{25}. So,

P(Green)\times P(Blue)=\dfrac{2}{25}

\dfrac{1}{5}\times \dfrac{x}{15}=\dfrac{2}{25}

\dfrac{x}{75}=\dfrac{2}{25}

Multiply both sides by 75.

\dfrac{x}{75}\times 75=\dfrac{2}{25}\times 75

x=2\times 3

x=6

Therefore, the number of blue marbles in the bag is 6.

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3 years ago
Which of the following is a true proportion
Kisachek [45]
The second one, your welcome
6 0
3 years ago
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