By this information, we know: (just so you know, when I will write the equation, the multiplication sign will be ^)
25%+0%=10%
32g xg (32+x)g
Now, we create an equation:
(0.25^32)+(0^x)=0.1^(32+x)
8+0=3.2+0.1x
8=3.2+0.1x
4.8=0.1x
48=x
Answer: 48 gram.
1/2 of 8 is 4 so there would be 4/8 motorcycles + 1/8 cars would be 5/8 and the remainder is 3/8 so 3/8 is not cars or motorcycles
Answer:
m = 3
n = 14
p = 2
Step-by-step explanation:
Given:
![\frac{7}{x}-\frac{3}{2}=\frac{n-mx}{px}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7Bx%7D-%5Cfrac%7B3%7D%7B2%7D%3D%5Cfrac%7Bn-mx%7D%7Bpx%7D)
We need to find the values of m, n, p
Solution:
We will first solve the L.H.S
L.H.S = ![\frac{7}{x}-\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7Bx%7D-%5Cfrac%7B3%7D%7B2%7D)
Now we will first make the denominator common by taking L.C.M
![=\frac{7\times 2}{x\times 2}-\frac{3\timesx}{2\timesx}\\\\= \frac{14}{2x}-\frac{3x}{2x}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B7%5Ctimes%202%7D%7Bx%5Ctimes%202%7D-%5Cfrac%7B3%5Ctimesx%7D%7B2%5Ctimesx%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B14%7D%7B2x%7D-%5Cfrac%7B3x%7D%7B2x%7D)
Now the denominator is common hence we will subtract the numerators.
L.H.S ![= \frac{14-3x}{2x}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B14-3x%7D%7B2x%7D)
Now Comparing the the value of L.H.S with R.H.S we can say that;
![\frac{14-3x}{2x}=\frac{n-mx}{px}](https://tex.z-dn.net/?f=%5Cfrac%7B14-3x%7D%7B2x%7D%3D%5Cfrac%7Bn-mx%7D%7Bpx%7D)
m = 3
n = 14
p = 2
Problem A
You are given that CB = 271 feet. You are also given that <CAB = 30 degrees.
So you can use Sin(<CAB) = opposite / hypotenuse or
hypotenuse = opposite / sin(<CAB)
hypotenuse = 271 / 0.5
hypotenuse (AB) = 542 feet.
Problem B
CD = 772 feet Given in table
<ACD = 74o Given on drawing.
We need to find AC which is not given
Cos 30 = adjacent / hypotenuse.
adjacent = hypotenuse * Cos(30)
adjacent = AB * Cos(30)
Adjacent = 542 * cos(30)
Adjacent = AC = 469.4 feet
Now we need to start again
AC = 469.4
<ACD = 74
CD = 772
AD = ???
AD^2 = AC^2 + CD^2 - 2 * AC * CD * Cos(74)
AD^2 = 595984 + 220336.4 - 399538
AD^2 = 416782.1
AD = sqrt(416782.1)
AD = 645.59
Problem 3
I'll set it up for you. And give you the answer I get, but I'm going to leave it to you mostly. It just follows what I've done above.
DC = 645.59
CE = 561
DE = 543
DC^2 = CE^2 + DE^2 - 2* CE * DE * Cos(E)
645.59^2 = 561^2 + 543^2 - 2*561*543 * Cos(E)
Cos(E) = -0.3164
E = cos-1(0.3164)
E = 108.45 degrees.