Answer:
100
Step-by-step explanation:
The measure of an arc is twice the measure of the inscribed angle that intercepts it. The arc y° is intercepted by an inscribed angle marked 50°, so ...
y = 100
9514 1404 393
Answer:
V ≈ 154.1 in³
Step-by-step explanation:
Use the formula for the volume of a cone:
V = (1/3)πr²h
V = (1/3)π(4.4 in)²(7.6 in) ≈ 49.045π in³
V ≈ 154.1 in³
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<em>Additional comment</em>
If you use 3.14 for π, your result will be 154.0 in³.
Answer:
C) x=7root 2 and y=7
Step-by-step explanation:
by using tan 45
which is equal to opp/adjacent side
so we get 1=7/y
therefore y=7
using pythogorus theorum we get that
x=root of 7^2 +7^2
which is seven root 2
Answer:
cells
Step-by-step explanation:
Let the number of cells she used in 2nd experiment be "x"
Since the latter experiment she uses LESS, we can say:
"<em>What number times 2000 gives us 2.8 * 10 ^ 12??"</em>
<em />
We can create an equation such as:
![x*2000=2.8*10^{12}](https://tex.z-dn.net/?f=x%2A2000%3D2.8%2A10%5E%7B12%7D)
Thus, x would be:
![x*2000=2.8*10^{12}\\x=\frac{2.8*10^{12}}{2000}](https://tex.z-dn.net/?f=x%2A2000%3D2.8%2A10%5E%7B12%7D%5C%5Cx%3D%5Cfrac%7B2.8%2A10%5E%7B12%7D%7D%7B2000%7D)
Let's convert 2000 into scientific notation first. We would take decimal point to the left until we have 1 digit to left of decimal and make 10 raised to that many units we take left "to the power".
So
2000 = 2 * 10 ^3
Now, let's remember rule of dividing numbers in scientific notation:
![\frac{a*10^b}{c*10^d}=(\frac{a}{c})*10^{b-d}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%2A10%5Eb%7D%7Bc%2A10%5Ed%7D%3D%28%5Cfrac%7Ba%7D%7Bc%7D%29%2A10%5E%7Bb-d%7D)
Now, we do our problem using this rule:
![x=\frac{2.8*10^{12}}{2000}\\x=\frac{2.8*10^{12}}{2*10^3}\\x=(\frac{2.8}{2})*10^{12-3}\\x=1.4*10^9](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2.8%2A10%5E%7B12%7D%7D%7B2000%7D%5C%5Cx%3D%5Cfrac%7B2.8%2A10%5E%7B12%7D%7D%7B2%2A10%5E3%7D%5C%5Cx%3D%28%5Cfrac%7B2.8%7D%7B2%7D%29%2A10%5E%7B12-3%7D%5C%5Cx%3D1.4%2A10%5E9)
Thus, she used
cells in her 2nd experiment