Answer:
question 20 ) 19.1 feet
question 21) 24 clips
Step-by-step explanation:
<h2><u>Question 20:</u></h2><h3><u>Circumference of a circle </u></h3>formula:
therefore we can find the radius (r) , also include the circumference of 60 feet.
where
2 * 3.14 * r = 60
r =
r = 9.554....
<h3>to find the diameter we can use the formula :</h3><em>diameter = radius * 2</em>
diameter = 9.554 * 2
diameter = 19.108
to 3 sf
<h3><u>diameter = 19.1 feet </u></h3><u />
<h2><u>Question 21</u></h2>large binder clips each cost $ 1.50
amount for purchases is $ 36.00
therefore the number of clips bought can be regarded as (x)
the formula would be :
1.50 * x = 36
x = 36/1.5
<u>x = 24</u>
<u></u>
<h3><u>hence the mom bought 24 binder clips</u></h3>Answer:
Z-score = 1.18
Step-by-step explanation:
The z-score measures how many standard deviations from the mean a data is
Therefore the z score is the quotient between the difference between a value and the mean and the standard deviation
Where
μ is the mean, x is a data of the population and is the standard deviation
In this case
Then the z-score is
Answer:
Y = 32.7°
Step-by-step explanation:
We will apply the Cosine law in the given triangle XYZ,
x = 90 ft
y = 55 ft
z = 50 ft
We have to find the measure of angle Y.
y² = x² + z² - 2xzCosY
(55)² = (90)² + (50)² - 2(90)(50)cosY
3025 = 8100 + 2500 - 9000.cosY
9000.cosY = 10600 - 3025
cosY =
= 0.84167
Y =
Y = 32.68 ≈ 32.7°
Therefore, measure of angle Y = 32.7°