This is the concept of trigonometry, the distance from the foot of the ladder will be given by:
tan theta=[opposite]/[adjacent]
opposite=17 ft
adjacent=x ft
theta=37°
thus
tan 37=17/x
x=17/tan 37
x=22.56 ft
=22.6 ft (to the nearest 10th of a foot)
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~
Assuming that the sum of all the angles must equal 180°
180 - (27+10) = k
180 - 37 = k
k = 143°
The <em><u>correct answer</u></em> is:
D) Closed circle on 8, shading to the right.
Explanation:
First we must solve the inequality:
x - 3 ≥ 5
Add 3 to each side:
x - 3 + 3 ≥ 5 + 3
x ≥ 8
To graph this, we want a circle on 8 Since it is "greater than or equal to," 8 is included in the solution set. This means the circle will be closed.
Since it is "greater than," we want the numbers to the right of 8 on the number line.
This means the inequality will be a closed circle and shaded to the right.
9514 1404 393
Answer:
F. x ≤ -5
Step-by-step explanation:
Translating the diagram to more conventional symbols, we have ...
4x +12 ≤ -8
4x ≤ -20 . . . . . . . subtract 12 from both sides
x ≤ -5 . . . . . . . . . divide both sides by 5
Answer: 1/10 or 0.1
Step-by-step explanation:
-(-7 - 4x) = -2(3x - 4)
7 + 4x = -6x + 8
* subtract 7 from both sides
4x = -6x + 1
* Add 6x to both sides
10 x = 1
* Divide both sides by 10
x = 1/10 or 0.10
