One twelfth of the circle is 30 degrees. how many radians is one twelfth of the circle
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Which is the best definition of the radius of a circle? A. The distance around the outside of the circle B. The distance across the middle of the circle C. The Point at the center of the circle D. The distance from the center to any point on the circle
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And even though you haven't asked to be shown how to do it,
I'll go ahead and do that too:
Call the speed of the boat (through the water) 'B'.
Call the speed of the current (the water) 'C'.
When the boat is going 'up' the river, against the current,
his speed past the riverbank is (B - C).
When the boat is going 'down' the river, the same way as the current,
his speed past the riverbank is (B + C).
The problem says it took him 5 hours to travel 60 km against the current.
Distance = (speed) x (time)
60 km = (B - C) x (5 hours)
The problem also says it took him 3 hours to return.
The distance to return is the same 60 km.
The other direction is the same direction as the current,
so his speed on the return is (B + C).
Distance = (speed) x (time)
60 = (B + C) x (3)
Now we have two equations, so we can find 'B' and 'C'.
5B - 5C = 60
3B + 3C = 60
Multiply each side of the first equation by 3, and
multiply each side of the second equation by 5:
15B - 15C = 180
15B + 15C = 300
Add the second equation to the first one:
30B = 480
B = 480/30 = 16 km per hour.
Subtract the second equation from the first one:
-30C = -120
C = -120/-30 = 4 km per hour.
The speed of the boat through the water (B) is 16 km per hour.
The speed of the water past the riverbank is 4 km per hour.
Check:
-- When the boat is going along with the current, his speed past the riverbank
is (16 + 4) = 20 km per hour. In 3 hours, he covers (3 x 20) = 60.
-- When the boat is going against the current, his speed past the riverbank
is (16 - 4) = 12 km per hour. In 5 hours, he covers (5 x 12) = 60 km.
yay !
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Width = 55 yards
Length = 165 yards
Maximized area = 9075 sq yd
Step-by-step explanation:
Here, the total length of fencing available = 390 yd
Let L = length of the side parallel to river
W = width of other 3 sides.
So, total fencing L + 3 W = 390 yd
or, L = 390 - 3 W
Now, Area of the field = L x W
= (390 - 3 w) (W)
or, A = -3 W² + 330 W
The maximum value of above function is at W =
So, W = 55 yards
Now, L = (390 - 3 (55) ) = 165 yards
Now, maximized area = L x W
= 55 x 165 = 9075 sq yds
b.prism
c.pyramid eliminate
d.sphere?
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The formula for volume of a cone = 1/3 π r² h
The formula for volume of a cylinder = π r² h
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(a) The volume of the brick is 650 cubic centimeters (cm³), and the surface area is 490 square centimeters (cm²).
(b) The painter should base paint quantity on surface area (490 cm²).
(c) To find concrete needed, use volume (650 cm³).
(a) To find the volume and surface area of the rectangular prism-shaped brick, we can use the following formulas:
Volume (V) = Length × Width × Height
Surface Area (SA) = 2(LW + LH + WH)
Given the dimensions of the brick:
Length (L) = 13 cm
Width (W) = 5 cm
Height (H) = 10 cm
Now, let's calculate:
Volume (V) = 13 cm × 5 cm × 10 cm = 650 cubic centimeters (cm³)
Surface Area (SA) = 2(13 cm × 5 cm + 13 cm × 10 cm + 5 cm × 10 cm) = 2(65 cm² + 130 cm² + 50 cm²) = 2(245 cm²) = 490 square centimeters (cm²)
So, the volume of the brick is 650 cm³, and the surface area is 490 cm².
(b) The painter should consider the surface area to determine how much paint to buy. Surface area represents the total area that needs to be covered with paint. In this case, it's 490 cm². Buying paint based on the surface area ensures that there's enough paint to cover the entire exterior of the brick.
(c) To find the amount of concrete needed to make the brick, we would use the measure of volume (V). Concrete is typically sold and purchased by volume, and in this case, the volume of the brick is 650 cm³. So, to determine the amount of concrete required, we would use the volume measurement (650 cm³).
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Rick 114 $47.50
Carl 176 $62.75
Lee 96 $51.35
In order to stock the dishwashers, Bloro Appliances had to sign a contract which included costs of $15,975. How much profit did Bloro Appliances gain from sales of these dishwashers over the past six months?
a. $72,839.40
b. $66,737.08
c. $61,320.68
d. $45,348.48
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Bloro Appliances earned profit of $45348.48 from sales of these dishwashers over the past six months.
What is profit?
Profit is the money earned by a business when its total revenue exceeds its total expenses.
Profit = Selling price - Cost price
Selling price = 285.5 * (114 + 176 + 96) = $110203
Cost price = 114(71.22 + 47.5) + 176(71.22 + 62.75) + 96(51.35 + 71.22) + 15,975 = $64854.52
Profit = Selling Price - Cost Price
= $110203 - $64854.52 = $45348.48
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Answer:
d
Step-by-step explanation:
edg 20/21
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you can do it by using trignometry.