Answer:
the base of the tree from a stake anchoring the wire is 18.7 ft long
Step-by-step explanation:
A guy wire for a tree is 20 ft. long, making a 21 degree angle with the ground.
It forms a right angle triangle. the hypotenuse of the triangle is 20 ft
The adjacent side of the given angle 21 degree is the base of the tree from a stake
Let x be the base length




the base of the tree from a stake anchoring the wire is 18.7 ft long
Answer: |p-72% |≤ 4%
Step-by-step explanation:
Let p be the population proportion.
The absolute inequality about p using an absolute value inequality.:
, where E = margin of error,
= sample proportion
Given: A poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% .
|p-72% |≤ 4%
⇒ 72% - 4% ≤ p ≤ 72% +4%
⇒ 68% ≤ p ≤ 76%.
i.e. p is most likely to be between 68% and 76% (.
Two acute angles are formed by the bisector, 45 degrees each.
The fraction of the girls signed up to play outfield is 
<em><u>Solution:</u></em>
Given that Two fifths of the girls in school signed up to play softball
An equal number of girls signed up to play pitcher, infield and outfield
So there are 3 equal groups formed from two fifth
This means that we could divide the 2/5 initial group into 3 equal smaller groups for each play pitcher, infield and outfield
Therefore, fraction of the girls signed up to play outfield is found by dividing
by 3

Thus fraction of the girls signed up to play outfield is 
Answer:
Part 1) 
Part 2) The length of the hypotenuse is 6 units
Step-by-step explanation:
Part 1) we know that
In the right triangle of the figure
----> by SOH (opposite side divided by the hypotenuse)
solve for y

Remember that

substitute


Part 2)
Let
h ----> the length of the hypotenuse
we know that
In the right triangle of the figure
----> by SOH (opposite side divided by the hypotenuse)

Remember that

substitute

