Answer:
Step-by-step explanation:
Hello there!
<u>Algebra 1</u>
The first thing we should find is the missing angle
Because this is a right triangle we can solve it using the Pythagorean Theorem
The Pythagorean theorem states that the sum of the two legs squared equal the hypotenuse squared
the formula... 
where a and b = legs and c = hypotenuse
we are given two legs so we plug in a and b and solve for c
so we can conclude that the missing side length ( or z) equals 25
now to solve for the angles
<u>Trigonometry</u>
We can solve for y using sin
sin = opposite side divided by the hypotenuse
the opposite of y is 7 and the hypotenuse is 25
so we set up an equation 
now we solve for y
then we round to the nearest hundredth
so we can conclude that angle labeled y = 16.26
<u>basic geometry</u>
Remember all of the angles in a triangle add up to equal 180 so we can find x by subtract the known angles from 180
180 - 90 - 16.26 = 73.74 so we can conclude that x = 73.74
Answer:
64
Step-by-step explanation:
Given that an advisor to the mayor of a large city wants to estimate, within 3 minutes, the mean travel time to work for all employees who work within the city limits.
Let X be the random variable denoting the time for employees to travel within city limit
Std dev of X 
For 95% confidence interval Z critical 1.96 is used because population std dev is known
Margin of error 
i.e. 
where n is the desired sample size.
Simplify to get
Hence atleast 64 employees should he poll
Answer:
the son is 2
man is 26
+10 yrs
son=12
man=36
Step-by-step explanation:
Let the son's age be x.
Then the father's age is 13x.
In ten years their ages will be (x+10) and (13x+10).
(13x+10)=3(x+10)
13x+10=3x+30
10x=20
x=2
The son is 2 years old.
Answer:
80°
Step-by-step explanation:
Angle CBD = 100°
Angle ABC = 180° - 100° = 80°
Angles on a straight line add up to 180°.
Angle ABC and angle EFB are corresponding angles, so they are equal.
= 80°
Given the diameter of the circular garden, the area of the garden is 28.36 yd².
<h3>What is the
area of the
garden?</h3>
The area of a circle is expressed as; A = πr²
Given that;
- Diameter d = 6yd
- Radius r = d/2 = 6yd/2 = 3yd
- Area A = ?
A = πr²
A = 3.14 × (3yd)²
A = 3.14 × 9yd²
A = 28.36 yd²
Given the diameter of the circular garden, the area of the garden is 28.36 yd².
Learn more about circles here: brainly.com/question/11952845
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