Answer:
129 and 51 degrees.
Step-by-step explanation:
Drawing a diagonal gives us a triangle with the opposite side = 12.4 and the adjacent side = 26.
tan x = 12.4 / 26
x = 25.497 degrees.
The other angle will be 90 - 25.497
= 64.503 degrees.
One of the diagonal angles is 180 - (2*25.497)
= 129 degrees
and the other is 180 - 129 = 51 degrees.
Answer:
A
Step-by-step explanation:
<u>Slope- intercept </u><u>form</u>
y= mx +c, where m is the slope and c is the y-intercept.
The given equation is in the slope-intercept form and hence we can easily identify its slope by looking at the coefficient of x.
y= 2x +7
slope= 2
Parallel lines have the same slope, thus the slope of the parallel line is also 2.
Substitute m= 2 into the general equation:
y= 2x +c
Substitute a pair of coordinates into the equation to find the value of c:
When x= 3, y= 11,
11= 2(3) +c
11= 6 +c
c= 11 -6
c= 5
Therefore the equation of the line is y= 2x +5.
Answer:
For every hour she earns 12$
Step-by-step explanation:
If your question looks like the picture, then the answer above is the right answer. If it's not, oh well, show the picture next time!
Answer:
The actual length of the helicopter is <u>23 feet</u>.
Step-by-step explanation:
Given:
On a scale drawing, a helicopter is 2.3 feet long.
The scale on the drawing shows a ratio of 1 foot to 10 feet.
Now, to find the actual length of the helicopter.
Let the actual length of helicopter be 
.
On scale drawing length of helicopter = 2.3 feet.
The scale on the drawing shows a ratio = 1:10.
Now, as ratios are given so by setting proportion we solve it:
<em>By cross multiplying we get:</em>
⇒ 
⇒ 
⇒ 
Therefore, the actual length of the helicopter is 23 feet.
G(x)=-2x-4
f(x)=15+0.75x
the common solution Q is their intersection-> calculate x by setting them equal:
-2x-4=15+0.75x
-2x-(3/4)x=19
-(11/4)x=19
x=-4*19/11
x=-76/11
calculate y:
f(-76/11)=15+(3/4)*(-76/11)
=15+(-3*19/11)
=15+(-57/11)
=15+-5-(2/11)
=10-(2/11)
=108/11
so the solution is a) (-76/11, 108/11)
