Answer:
or 2.738
Step-by-step explanation:
Let’s just look at the triangle on the top with the
on the top and x on the bottom. (Basically the top half to the equilateral triangle)
There is a small square in the bottom right corner, which indicates that this triangle is a right triangle. This means that we can use the Pythagorean Theorem: ![a^{2} +b^{2} =c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2Bb%5E%7B2%7D%20%3Dc%5E%7B2%7D)
We know that \sqrt{10} is our hypotenuse, and therefore our c in our equation. Let’s say that x=a in our equation. Therefore we are left to find b. However, b is half the length of the side of the original equilateral triangle. An equilateral triangle means that all three sides are the same length. Therefore our side would also be \sqrt{10} units long. However we know that b is half of that value, so b=
or ![\frac{\sqrt{10} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B10%7D%20%7D%7B2%7D)
Plugging these values into the equation:
x^2+ (\frac{\sqrt{10} }{2})^{2}=\sqrt{10} ^{2}
![x^{2}=\sqrt{10} ^{2}-\frac{\sqrt{10} }{2} ^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%3D%5Csqrt%7B10%7D%20%5E%7B2%7D-%5Cfrac%7B%5Csqrt%7B10%7D%20%7D%7B2%7D%20%5E%7B2%7D)
![x^{2} =10-\frac{10}{4}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D10-%5Cfrac%7B10%7D%7B4%7D)
![x^{2} =\frac{15}{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D%5Cfrac%7B15%7D%7B2%7D)
![x=\sqrt{\frac{15}{2} }](https://tex.z-dn.net/?f=x%3D%5Csqrt%7B%5Cfrac%7B15%7D%7B2%7D%20%7D)
This approximately equals 2.738
Answer:
16.16 or 16 inch
Step-by-step explanation:
you can use the pythagoras theorem,
h = 19
so, width = ![\sqrt{19^2 - 10^2}](https://tex.z-dn.net/?f=%5Csqrt%7B19%5E2%20-%2010%5E2%7D)
Distance = Rate * Time where the asterisk represents multiplication
We can isolate the rate if we divide both sides by the time. So we'll end up with this formula
Rate = Distance/Time
which can be written as
r = d/t
The distance is measured in feet while the time is measured in minutes. The rate r is measured in feet per minute. If the speed was 10 feet per minute, then this would mean that the object travels 10 feet every minute. Or put another way, when one minute passes by, the object has traveled 10 feet.
How did I get "feet per minute" from the equation r = d/t?
Well the units for "d" are in feet, and the units for "t" are in minutes
So writing "d/t" would turn into "feet/minute" when we think of the units only (ignore the actual numbers). Then we rewrite "feet/minute" into "feet per minute" as they mean the same thing, just written different ways.
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Answer: The units for the speed or rate are in feet per minute
Answer:
=$1920
Step-by-step explanation:
1. simple interest = (principle × rate × time) ÷ 100
principal: amount of money borrowed
rate: percentage at which you are to pay
time: timeframe in which u ought to repay
calculate what is in the brackets first
2. plug in the values
($1500×7×4)÷100 = $420
*calculate what is in the brackets first*
3. add the amount received when finished caluculating[in this case $420] to the original principal
4. $1500+$420=1$920
Each batch gives you 3 dozen and you need 1 1/2 cups for each batch of cookies
she uses 6 cups in total, so divide 6 by 1 1/2 to get the number of batches
6 ÷ 1 1/2 = 4 batches
so 4 batches × 3 dozen cookies = 12 dozen cookies