Answer:
Step-by-step explanation:
The two thermometers developed by cindy Grade and Gabriel Fahrenheit are shown in the attached photo
Let x = a certain temperature reading on the Gabriel Fahrenheit's thermometer
Let y = a corresponding temperature reading on the cindy Grade's thermometer
Interpolating the temperatures, it becomes
(212 - 32)/(212 - x) = (150 - 0)/(150 - y)
(212 - 32)(150 - y) = 150(212 - x)
180(150 - y) = 31800 - 150x
2700 - 180y = 31800 - 150x
180y - 150x = 31800 - 27000
180y - 150x = 31800 - 27000
180y - 150x = 4800
The scales will agree at a common reading. This is achieved by making x to equal y. Therefore
180x - 150x = 4800
30x = 4800
x = 4800/30 = 160
At a reading of 160, both scales will agree
Hey there!
A number that is divisible by both 2 and 9 is 18. This is just 2 multiplied by 9. To make this into a 3-digit number, you can just multiply 18 by itself. This will be 324, which is divisible by 9 and 2.
324 ÷ 2 = 162
324 ÷ 9 = 36
So, a number you could choose is 324.
Hope this helped you out! :-)
Answer:
y = √55
Step-by-step explanation:
All the triangles are similar, so the ratio of short side to hypotenuse is the same for all:
5/y = y/(5+6)
y^2 = 55
y = √55
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<em>Comment on the geometry</em>
There are three "geometric mean" relationships that apply to this geometry.
- the altitude BD is the geometric mean of BC and BA (√30)
- the long side of the large triangle is the geometric mean of the longer segment of the hypotenuse and the whole hypotenuse (x = √66)
- the short side of the large triangle is the geometric mean of the shorter segment of the hypotenuse and the whole hypotenuse (y = √55)
If you were aware of the last of these relationships, you could write down the answer without any "work."
y = √(5(5 +6)) = √55
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The geometric mean is the n-th root of the product of n numbers. When there are 2 numbers, it is the square root of their product.
The equivalent fraction for 0.7 is 70/100.
You know this because 0.7 is the same as 7/10.
7/10 is the same as 70/100 when we create 7 groups of 10 (numerator) and 10 groups of 10 (denominator).
Also, placing a zero to the right of any number on the right hand side of the decimal point will not change the value.
0.70 is 70/100
Answer:
9
Step-by-step explanation:
