Answer:
Step-by-step explanation:
Here we are given with two coordinates and asked to determine the distance between them.
Here we are going to use the distance formula, which is given as under
Where
Replacing these values in the distance formula
Answer: I am pretty sure your answer is 208 cm. Whenever you see a percentage immediately change it to a decimal like in this case 0.070 and multiply it by 400. 400x0.070 is equal to 280. Hope this helps :)
The rate of 4 centimeters per second is equal to 144 meters per hour.
A conversion factor is a ratio that expresses how many of one unit are equal to another unit. To convert a smaller unit to a larger unit (eg to ), divide it by the number of smaller units which are needed to make larger unit. To convert from a larger unit to a smaller one, multiply. To convert from a smaller unit to a larger one, divide.
For the given situation,
4 centimeters per second is equal to how many meters per hour.
1 centimeter =
⇒
⇒
1 second =
Thus 4 centimeters per second = ÷
⇒ ×
⇒
Hence we can conclude that the rate of 4 centimeters per second is equal to 144 meters per hour.
Learn more about conversion here
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To calculate the total surface area of a three-tier wedding cake and determine the number of frosting cans needed, we use the formula for the surface area of a square prism. The total surface area of the cake is 1848 square inches. As each can covers 250 square inches, we would need to buy 8 cans.
In this task, we are asked to calculate the total surface area of a three-tiered wedding cake made of square prisms to determine how many cans of frosting are needed. Each tier has a different length but they all share the same height. The surface area of a square prism is calculated by using the formula 2(a² + 4ah), where 'a' is the length of a side and 'h' is the height.
The total surface area for each tier becomes:
Add these together to get the total surface area for the whole cake, which is 1848 square inches. As each can of frosting can cover 250 square inches, you will need to divide 1848 by 250. This gives approximately 7.4, so you would need to buy 8 cans of frosting to fully cover the cake (as we can't buy partial cans).
Learn more about Surface Area here:
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Used Area from bottom box (green)= All 4 vertical faces +EFGH-IJKL
=(20*6+6*6+20*6+6*6)+20*6-14*6= 348 Square inches ...(i)
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Used Area from middle box (Blue)= All 4 vertical faces +MNOP-QRST
=(14*6+6*6+14*6+6*6)+14*6-8*6=276 square inches...(ii)
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Used Area from top box (Brown)= All 4 vertical faces +UVWX
=(8*6+6*6+8*6+6*6)+8*6=216 square inches...(iii)
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so the surface area of the cake to be covered= 348+276+216=840 square inches.
given that 1 can covers 250 square inches
so number of cans needed = 840/250=3.36
which means 4 cans needed.
B. right
C. acute
Answer:
c. acute
Step-by-step explanation:
all angles are less than 90 degrees, so it is acute