Answer:
23.6 ft
Step-by-step explanation:
Sketch a right triangle representing this situation. The length of the hypotenuse is 26 ft and the angle of elevation from ground to top of ladder is 65°. The "opposite side" is the reach of the ladder, which we'll call x.
Then:
opp
- sin 65° = ----------
- 26 ft
or (26 ft)(sin 65°) = opp side = height off the ground of top of ladder.
Evaluating this, we get:
(26 ft)(0.906) = 23.56 ft, or, rounded off, 23.6 ft
The ladder reaches 23.6 ft up the side of the building.
Answer:
w = 31
Step-by-step explanation:
To find the value of w:
We know that the three angles in a triangle add to 180 degrees
w + w + (4w-6) =180
Add like terms
6w-6 = 180
Add 6 to each side
6w -6+6 =180+6
6w = 186
Divide each side by 6
6w/6 = 186/6
w = 31
Answer:
A. 0.0625
B. 0.1089
C. 0.81
D. 0.0196
Step-by-step explanation:
The proportion of variance is shared by the two correlated variables is given as the r².
Therefore,
For A. r = 0.25
Proportion of variance is shared by the two correlated variables = 0.25²
= 0.0625
For B. r = 0.33
Proportion of variance is shared by the two correlated variables = 0.33²
= 0.1089
For C. r = 0.90
Proportion of variance is shared by the two correlated variables = 0.90²
= 0.81
For D. r = 0.14
Proportion of variance is shared by the two correlated variables = 0.14²
= 0.0196
A trapezoid<span> is a quadrilateral with one pair of parallel sides, and the </span>formula for<span> the area of a </span>trapezoid<span> is 1/2 times (base 1 + base 2) times height</span>
