Answer:
Step-by-step explanation:
SOHCAHTOA
Sine is opposite over hypotenuse
Cosine is adjacent over hypotenuse
Tangent is opposite over adjacent
In this context, opposite means the side opposite of the angle. Adjacent means the side that is touching the angle. And the hypotenuse is the longest side, which is usually visually obvious.
3.) tan(25) = x/31
Use a calculator for tan(25), then multiply both sides by 31 to get your x value.
x = 14.5
4.) cos(48) = 17/x
Use a calc to do 17/cos(48) to get the x value
x = 25.4
5.) sin(theta) = 17/18
Divide 17/18, then take the inverse sine of both sides with a calculator to get the theta value
theta = 70.8 degrees
6.) tan(theta) = 31/42
Divide 31/42, then take the inverse tangent of both sides with a calc.
theta = 36.4 degrees
7.) Your best bet is to draw a picture. For my case, Im going to imagine it. The angle is 35 degrees and the hypotenuse is 300 feet. The question is asking for the opposite of the angle. This calls for sine.
sin(35) = x/300
x = 172.1 feet
For the A parts just make all the second numbers negative example: if it were 5,1 make it (5,-1) and for the B part make all the first numbers a negative example: if it were 5,1 make it (-5,1)
Answer:
Step-by-step explanation:
Given:
trap door = 130 square feet.
1st item: 6ft 5in wide & 8ft 9in long
⇒ (6ft * 12 in) + 5 in & (8ft *12 in) + 9 in
⇒ 77inches by 105 inches
⇒ 8,085 square inches
2nd item: 13ft 4in wide & 7ft 8in long
⇒ (13ft * 12in)+ 4 in & (7ft *12in) + 8 in
⇒ 160 inches by 92 inches
⇒ 14,720 square inches
3rd item: 5ft 6in wide & 12ft 4in long
⇒ (5 ft * 12in) + 6 in & (12ft * 12in) + 4in
⇒ 66 inches by 148 inches
⇒ 9,768 square inches
130 square feet convert to square inches.
130 sq. ft * 144 sq.in/sq.ft = 18,720 sq. in
18,720 sq. in / 160 inches = 117 inches
Length = 160 inches ; Width = 117 inches
Perimeter = 2(160 + 117)
P = 2(277)
P = 554 inches
Answer:
It is a linear function because its graph contains the points (0,5), (1,8), (2,11), which are on a straight line.
Answer:
(-3, 2)
Step-by-step explanation:
If we are dealing with vertical movement up/down, we manipulate the x-axis.
If we are dealing with horizontal movement left/right, we manipulate the y-axis.
We are trying to move the point right 4 units (horizontal movement) and down 4 units (vertical movement).
(1, -2) → (1 - 4, -2 + 4) → (-3, 2)
