Step-by-step explanation:
<h2>a).</h2>
To find the area of the circle we must first find the radius using the formula
radius = diameter / 2
From the question
diameter = 21 ft
The radius is
21/2 = 10.5 ft
Area of a circle = πr²
where r is the radius
Area = π(10.5)²
= 110.25π
<h3>= 346.36 cm²</h3>
<h2>b).</h2>
Circumference of a circle = πd
where d is the diameter
Circumference = π(21)
<h3>= 65.97cm</h3>
Hope this helps you
Using the formula for the surface area of a rectangular prism, the surface area of the composite solid is: C. 162m²
<h3>What is the Surface Area of a Rectangular Prism?</h3>
Surface area of a rectangular prism = 2(wl+hl+hw)
Surface area of the composite shape = surface area of the larger prism + surface area of the smaller prism - area of the face both prisms are joined together
Surface area of the larger prism = 2(wl+hl+hw) = 2(2×3 + 9×3 + 9×2) = 102 m²
Surface area of the smaller prism = 2(wl+hl+hw) = 2(2×8 + 2×8 + 2×2) = 72 m²
Area of the face both prisms are joined together = 2(l×w) = 2(3 × 2) = 6 m²
Surface area of the composite shape = (102 + 72) - 12 = 162m²
Learn more about surface area of rectangular prism on:
brainly.com/question/1310421
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Answer:
f(-15) = -60
Step-by-step explanation:
Plug in -15 for x:
f(x) = 4x; f(-15) = 4(-15)
Multiply. Note that when you multiply one negative and one positive number together, your answer will be negative.
4 * -15 = -60
-60 is your answer.
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Answer:
So, its better to buy larger bag
Step By Step Explanation:
Let
Smaller bag hold = x ounces
Price of x ounce in smaller bag = $ y
Price of 1 ounce in smaller bag =
....(1
Larger bag will hold = x + 10 ounces
Price of x+10 ounces in larger bag = y + 1.5
Price of 1 ounce in larger bag =
...(2
Now equation 1 tells that 1 ounce in smaller costs
, and equation 2 tells in ounce in larger bag costs
.
Now as we can see, we can get equation 2 from equation 1 by increasing numerator by 1.5 and denominator by 10. In this case denominator has increased more than numerator so the value of overall fraction
would be less than
. It means our larger bag has less price per ounce.
So, its better to buy larger bag
If you would like to know about how long was the rope before Chris cut it and you would like to round each length to the nearest tenth to estimate the total length of the original piece of rope, you can calculate this using the following steps:
11.36 meters = 11.4 meters
13.46 meters = 13.5 meters
11.4 + 13.5 = 24.9 meters
Result: The rope was 24.9 meters long (before Chris cut it) - rounded to the nearest tenth.