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:
Matt will need 10176 square quilts to cover the wall
Step-by-step explanation:
To answer this perfectly, we will have to first convert everything to the same unit.
dimensions of the quilt squares = 3 inches
Length of the wall = 1 yard = 36 inches
Breadth of the wall = 212 feet = 2544 inches.
The next step, is to find the area of the wall that Matt is covering.
Area of wall = length X breadth = 36 X 2544 =
We will also find the area of the square quilts. This is given as length X length = =
to get the number of square quilts that will cover that area, we will have to divide the area of the wall by the area of the quilts
= 91584 /9 = 10176 quilts
Matt will need 10176 quilts to cover the wall
The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept
The equation of the given line is expressed as
3x - 6y = 30
Rearranging it so that it will look like the slope intercept form, it becomes
6y = 3x - 30
Dividing both sides by 6, it becomes
6y/6 = 3x/6 - 30/6
y = x/2 - 5
Looking at the equation, slope, m = 1/2
If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2
To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute
x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes
- 9 = 1/2 * 4 + c
- 9 = 2 + c
c = - 9 - 2
c = - 11
By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be
y = x/2 - 11
Answer:
The acceleration of the car will be 400 m/s².
Step-by-step explanation:
The acceleration of the car can be found using Newton second law:
Where:
F: is the net force = 200 N
m: is the mass = 500 g
a: is the acceleration =?
Then, the acceleration will be:
Therefore, the acceleration of the car will be 400 m/s².
I hope it helps you!