Answer:
![x=49/4](https://tex.z-dn.net/?f=x%3D49%2F4)
Step-by-step explanation:
we know that
If two figures are similar, the the ratio of its corresponding sides is equal
In this problem we have
smaller cone
![r1=8/2=4\ units](https://tex.z-dn.net/?f=r1%3D8%2F2%3D4%5C%20units)
![h1=7\ units](https://tex.z-dn.net/?f=h1%3D7%5C%20units)
larger cone
![r2=7\ units](https://tex.z-dn.net/?f=r2%3D7%5C%20units)
![h2=x\ units](https://tex.z-dn.net/?f=h2%3Dx%5C%20units)
so
![\frac{h2}{h1}=\frac{r2}{r1}](https://tex.z-dn.net/?f=%5Cfrac%7Bh2%7D%7Bh1%7D%3D%5Cfrac%7Br2%7D%7Br1%7D)
![\frac{x}{7}=\frac{7}{4}\\ \\x=7*7/4\\ \\x=49/4](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B7%7D%3D%5Cfrac%7B7%7D%7B4%7D%5C%5C%20%5C%5Cx%3D7%2A7%2F4%5C%5C%20%5C%5Cx%3D49%2F4)
Answer:
Hence, the azimuth, bearing, and length of the line connecting station Shore to station Rock are
and
feet.
Given :
The shore station point
in feet,
![(X_1,Y_1)=(2058.97, 6980.06)](https://tex.z-dn.net/?f=%28X_1%2CY_1%29%3D%282058.97%2C%206980.06%29)
The Rock station point
in feet
![(X_2,Y_2)=(1408.03,6980.06)](https://tex.z-dn.net/?f=%28X_2%2CY_2%29%3D%281408.03%2C6980.06%29)
From the figure
feet
feet
Length of the line ![L=\sqrt{x^2+y^2}](https://tex.z-dn.net/?f=L%3D%5Csqrt%7Bx%5E2%2By%5E2%7D)
![\Rightarrow L=\sqrt{(650.94)^2+0}=650.94](https://tex.z-dn.net/?f=%5CRightarrow%20L%3D%5Csqrt%7B%28650.94%29%5E2%2B0%7D%3D650.94)
feet
![\tan \theta=\frac{y}{x}=\frac{0}{x}=0](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%3D%5Cfrac%7By%7D%7Bx%7D%3D%5Cfrac%7B0%7D%7Bx%7D%3D0)
![\Rightarrow \theta=\tan^{-1}(0)=0](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctheta%3D%5Ctan%5E%7B-1%7D%280%29%3D0)
Azimuth of line![=270^{\circ}+\theta](https://tex.z-dn.net/?f=%3D270%5E%7B%5Ccirc%7D%2B%5Ctheta)
![=270^{\circ}+0](https://tex.z-dn.net/?f=%3D270%5E%7B%5Ccirc%7D%2B0)
![=270^{\circ}](https://tex.z-dn.net/?f=%3D270%5E%7B%5Ccirc%7D)
Bearing ![=360^{\circ}-\text{Azimuth}](https://tex.z-dn.net/?f=%3D360%5E%7B%5Ccirc%7D-%5Ctext%7BAzimuth%7D)
![=360^{\circ}-270^{\circ}](https://tex.z-dn.net/?f=%3D360%5E%7B%5Ccirc%7D-270%5E%7B%5Ccirc%7D)
![=90^{\circ}](https://tex.z-dn.net/?f=%3D90%5E%7B%5Ccirc%7D)
Answer:
D.
Step-by-step explanation:
Momentum(p) is Mass(m) times Velocity(v) or p = mv
The results of the calculations are attached. 0.4 kg at 2 m/s has the most momentum: 0.8 kg*m/s
Since this is a problem of simple interest, then the interest earned will be based always on the principal amount which is 5000. So assuming that, lets also assume that the duration to get interest will be in years since that is the most commonly used duration anyway. So first, let's multiply 5000 with 0.075 to get the interest for the first year. So we will have 375. This means that we will be getting 375 interest every year. We can do trial an error method to get the number of years that will yield us to 6500. Through that, I was able to get 4 years. So 4 times 375 equals 1500 plus the original balance of 5000. It will take 4 years before your balance reaches 6500
If she was really committed and wanted to bake 11 pies every day for a year, she would be able to make 11•365 pies. Unless it's leap year. Then she would be able to make 11•356 pies.