To solve this problem you must apply the proccedure shown below:
1. You have the following information given in the problem:
- <span>The angle of elevation from Madison to the top of the Statue of Liberty is 79 degrees.
- Madison is standing 58.2 feet from its base.
-Madison is 5 feet tall.
2. Therefore, you have:
Sin</span>α=opposite/hypotenuse
<span>
Sin(79°)=x/58.2
x=(58.2)(Sin(79°))
x=57.13 ft
3. Now, you can calculate the height of the Statue of Liberty, as below:
height=x+5 ft
height=57.13 ft+5 ft
height=62.13 ft
4. Therefore, as you can see, the answer is: 62.13 ft
</span>
Answer:
From the first bag the probability is 5 out of 15 or 1/3 simplified
The second bags probability is 4 out of 9
All the bags combined the probability is 9 out of 24
Step-by-step explanation:
The probability should be set up by putting the blue marbles as the numerator and the sum of all the marbles combined for the denominator
With everything said all you have to do is figure out the two steps an you’re good to go
For numbers 15-17, we need to remember that two of a triangle's angles are always acute and the third angle will allow us to classify the triangle based on its angles. now that we know this, let's look at #15. the first two angles listed are acute, and the third is an obtuse angle, therefore it is an obtuse triangle. on #16 we have three acute angles, so it is an acute triangle. #17 has two acute angles and a right angle so it is a right triangle.
on numbers 21-23, we need to know that a triangle with all congruent sides is called equilateral, a triangle with two equal sides is isosceles, and a triangle with no equal sides is called scalene. #21 shows two equal sides so it is an isosceles triangle. #22 has three equal sides so it is an equilateral triangle. #23 has no equal sides so it is scalene. hope this helped! :)
Answer: 55 degrees
Step-by-step explanation:
180-125=55
125 and m make a half a turn which equals 180
Answer:
That day 51 child tikets were sold
Step-by-step explanation:
To do this problem we have to make 2 equations, one that represents the number of entries and the other that represents the money
x = child tickets
y = adult tickets
x + y = 132
x * $5.20 + y * $9.00 = $994.20
First we have to solve for the x in the first equation
x + y = 132
x = 132 - y
Now we replace the x with (132 - y) in the second equation
x * $5.20 + y * $9.00 = $994.20
(132 - y) * 5.20 + y * 9.00 = 994.20
686.4 - 5.2y + 9y = 994.2
-5.2y + 9y = 994.2 - 686.4
3.8y = 307.8
y = 307.8/3.8
y = 81
We replace y with its value in the first equation
x = 132 - y
x = 132 - 81
x = 51
That day 51 child tikets were sold
