Answer:
Step-by-step explanation:
Remark
- x is opposite the 90 degree angle. It is the hypotenuse.
- 13 makes up the 57 degree angle. It is the side adjacent.
- The adjacent side and the hypotenuse define the cos(theta).
Formula
cos(theta) = adjacent side / hypotenuse
Givens
Theta = 57 degrees
Hypotenuse = x
Side adjacent = 13
Solution
- Cos(57) = 13 / x Multiply both sides by x
- x*cos(57) = 13 Divide by cos(theta)
- x = 13/cos(57)
- x = 13 / cos(57)
- cos(57) = 0.5446
- x = 13/ 0.5446
- x = 23.87
The name of place value of 9 in 199 is ones.
The second 9 has a value of tens.
The number 1 has a place value of hundreds.
Answer:
V ≈ 8.67x10^7 ft^3
Step-by-step explanation:
We know that the volume of a pyramid is V= (lwh)/3
Since it is a square pyramid, it means that the length and the width are the same:
Length=755.9 feet
Width=755.9 feet
Height=455.4 feet
So, the volume is :
V = [(755.9)(755.9)(455.4)]/3
V = 86736214.158 ft^3
V ≈ 8.67x10^7 ft^3
Hope this helps!
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Sqrt (53) = 10 * sqrt (0.53)
0.53 = 64/121
sqrt (0.53) = sqrt (64)/ sqrt (121) = 8/11 = 0.7273
Therefore sqrt (53) = 10 * 0.7273 = 7.27
sqrt (108) = 10 * sqrt (1.08)
sqrt (1.08) = sqrt (676/625) = 26/25 = 1.04
Therefore sqrt (108) = 10 * 1.04 = 10.4
sqrt (128) = 10 * sqrt (1.28)
sqrt (1.28) = sqrt (289/225) = 17/15 = 1.133
Therefore sqrt (108) = 10 * 1.133 = 11.33
Rounding to the nearest tenth means rounding to the decimal place directly to the right of the decimal.
The rules of rounding are fairly simple. If the number to the right of the number you are rounding is greater than or equal to 5, you round up. If the number to the right is less than 5, you round down.
Let's take a look at the number 12.345.
First, round to the hundredths place. The number right before the 4 is 5, so we round up. This gives us the number 12.35.
Next, we have to round to the tenths place. The number to the right of the 3 is 5, so we round up as well. This gives us the number 12.4.
Answer: 12.4
