Solve for an angle in right triangles
1 answer:
The angle of B is 56.2 degrees
<em><u>Solution:</u></em>
Given is a right angled triangle ABC
From given figure,
AB = 9
CB = 5
We have to find the angle of B
Let the angle of B be
By definition of cosine,
Here, adjacent = CB and hypotenuse = AB
Therefore,
Taking cos inverse on both sides,
Thus the angle of B is 56.22 degrees
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We will see that the cost of filling the tank is $38.88, and at the final of the trip she will have 4 gallons on the tank.
<h3>How much costs to fill the tank?</h3>
a) The car holds 18 gallons, and it has 1/5 of the tank remaining.
Then in the tank there are:
(1/5)*18 = 3.6 gallons.
Then we need 18 gal - 3.6 gal = 14.4 gal
And each gallon costs $2.70, then to fill the tank, Miss Kito needs:
(14.4)*$2.70 = $38.88
b) Now we know that the car travels 26 miles per gallon, and she needs to travel a total distance of 364 miles.
Then she needs:
To travel that distance, and the car holds 18 gallons, so at the end of the trip, she will have 4 gallons of gasoline in her car.
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Answer:
The model swing should be <u>2.75 cm</u> high.
Step-by-step explanation:
Given:
A 168-cm tall person is 2 cm in Ming’s model.
If the actual swing is 231 cm high.
Now, to find how high should his model swing be.
Let the model swing be
So, 168 cm tall person is equivalent to 2 cm.
Thus, 231 cm actual swing is equivalent to model swing.
Now, we get the height of the swing in the model by using cross multiplication method:
<em>By cross multiplication:</em>
⇒
<em>Dividing both sides by 168 we get:</em>
⇒
Therefore, the model swing should be 2.75 cm high.