Step-by-step explanation:
circumference of jj's basketball = 29.6 inches
Circumference of basket = 3.14 * 10 = 31.4 inches
Because
circumference of jj's basketball < Circumference of basket
Therefore ball will go through the basket.
Answer
x = 7.5
Explanation
This is a case of similar triangles.
Similar triangles have bigger triangles which have sides which are multiples of smaller triangles sides.
We know that the adjacent side of the bigger triangle is 6 and for the smaller triangle it’s 4 so the constant factor by which the sides of the small triangle are multiplied to obtain the sides of the large triangle is
6/4 = 3/2
Since we know the hypotenuse of the smaller triangle is 5.
Multiply this by 3/2 to get the hypotenuse of the bigger triangle
3/2 • 5 = 7.5
Hope this helped
Here is the solutions for 3-11
The business owner should be told to angle a spotlight mounted on the roof at the angle of =39°
<h3>Calculation of angle</h3>
The distance of the flagpole from the building = 55ft
The building has the height of = 45ft
The flagpole has the height of = 25ft
The angle can be calculated using the formula;
Tan θ = opposite/adjacent
Where opposite= 45ft
adjacent = 55ft
Tan θ = 45/55 = 0.82
θ = Tan–¹0.82
θ = 39°
Learn more about angles here:
brainly.com/question/25716982
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Answer:
About 95% of households have an income over $54,550
Step-by-step explanation:
95% is a probability of around 0.95
So we start by calculating the z-score with a probability of 0.95
We can use the standard normal distribution table for this
the z-score is -1.645
Mathematically;
z-score = (x-mean)/SD
-1.645 = (x-71,000)/10,000
10,000 * -1.645 = x-71,000
-16450 = x - 71000
x = 71,000 - 16450
x = 54,550
