To find the y-intercept: replace x with 0
to find the x-intercept: replace y with 0
x-int:
0 = 10x - 32
32 = 10x
x = 3.2
(3.2, 0)
y-int:
y = 10(0) - 32
y = -32
(0, -32)
Answer:
Step-by-step explanation:
The formula for the area of a rectangle:
Insert the known values:
Solve for w. Isolate the variable by dividing both sides by 15:
w is equal to 12, so the width of the rectangle is 12 cm.
:Done
90 and 91 are relatively prime, the way they can be relatively prime is to have no factors in common-
90- 2x3x3x5
91- 7x13
Answer: 359 ft
<u>Step-by-step explanation:</u>
Whenever you have a problem like this, you must first make an assumption that the building (in this case the lighthouse) is perpendicular to the ground (or sea). This allows you to create a right triangle (see attached image).
The angle of depression is the angle from an imaginary perpendicular line passing through the top of the building. Since that imaginary line is parallel to the ground (or sea), you can use alternate interior angles to place that angle in the triangle.
NOTE: BOTH angle of elevation and angle of depression are placed in the lower corner of the triangle. Don't let the names confuse you!
Now you can use trigonometry to solve ....
In the given problem, we have the side OPPOSITE of the given angle (24°) and need the side ADJACENT to the angle, so we will use tan to solve for x.
Answer:
1/9
Step-by-step explanation:
There are three places and three people.
Times them together for the total outcomes:
1/3 x 1/3= 1/9