Answer:
The statement is false
Step-by-step explanation:
we know that

The tangent function will be positive when the sine function and the cosine function have the same sign
so
In the first quadrant the tangent function is positive
In the third quadrant the tangent function is positive
so
The statement is false
First, you need to distribute the right side of the equation : 8n - 2
Now the equation is : 20 - 7n = 8n - 2
Add 2 to both sides : 22 - 7n = 8n
Add 7n to both sides : 22 = 15n
Divide both sides by 15 : ( I had to round this one) 1.5 = n
Answer:
do 365+365
Step-by-step explanation:
Answer:
Part a) <1=72°
Part b) <2=108°
Part c) <3=72°
Part d) <4=108°
Step-by-step explanation:
step 1
Find the measure of angle 1
we know that
<1+108°=180° -----> by supplementary angles
so
<1=180°-108°=72°
step 2
Find the measure angle 2
we know that
<2=108° -----> by corresponding angles
step 3
Find the measure angle 3
we know that
<3=<1-----> by corresponding angles
so
<3=72°
step 4
Find the measure angle 4
we know that
<4=108° -----> by alternate exterior angles
The roof is made up of two mirred right triangles which are congruent. We can find the width by finding the width of one of the triangles then doubling the answer to get the width of the entire roof.
We are given that the slope (rise over run) is 5/12 which means that for every 5 feet of height there is 12 feet of width. We can use this ratio to find the width of one triangle given the height of 8 by setting up the following proportion:
5/12 = 8/x
Solve for x by cross multiplying:
5x = (12)(8)
x = (12)(8)/5
x = 19.2 feet
Multiply by 2 to get the entire width:
(19.2)(2) = 38.4 feet
The answer is 38.4 feet