Answer:
47. 1 5/8
48. 1 1/12
Step-by-step explanation:
<em>47. </em>
<em>First, convert the denominators to be the same.</em>
8 1/2 minutes, Ruby's mile time, can be converted to 8 4/8.
<em>Then subtract.</em>
8 4/8 - 6 7/8 = 1 5/8
<em>48.</em>
<em>Make sure the denominators are the same. Both denominators can be multiplied by 3 or 4 to become 12.</em>
1 1/4 can be multiplied by 3 to get 1 3/12. And 1 1/3 can be multiplied by 4 to get 2 4/12.
<em>Then subtract.</em>
2 4/12 - 1 1/3 = 1 1/12
<u>Given</u>:
In ΔVWX, the measure of ∠X=90°, XW = 36, WV = 85, and VX = 77.
We need to determine the ratio that represents the sine of ∠W
<u>Ratio of sin of ∠W:</u>
The ratio of sin of ∠W can be determined using the trigonometric ratios.
The ratio of
is given by

From the attached figure, the opposite side of ∠W is XV and the hypotenuse of ∠W is WV.
Hence, substituting in the above ratio, we get;

Substituting the values, we get;

Thus, the ratio of sine of ∠W is 
The pattern is 4, 12, 36, 108, 324, 972, 2,916
4+8=12
12+24= 36
36+72= 108
108+216=324 .... and so on
Divide each term by U and simplify. X=y/U and W=2/U. Next, solve the equation for y. Simplify the left side then cancel the common factor of U. 1/1*y/1=y
W=2/U. Multiply 1/1*y/1=y/1 so, y/1=y and W=2/U. Next, divide y/y to get 1 now y=y, still W=2/U. Now, move all terms containing y to the left side. Since, Y contains the variable to solve for, move it to the left side of the equation by subtracting y from both sides. Now, y-y=0 still W=2/U. Next, subtract y from y to get zero and still W=2/U. Subtract y from y to get zero or 0=0 and W=2/U is your expression since 0=0.
Next: UW=m and WX=y+14 write expression for UX
First, divide each term by W and simplify. U=m/W, WX=y+14. Next, solve the equation for Y. Move y from the right side of the equation to the left side. Still, U=m/W and y=-14+WX. We must reorder -14 and WX. U=m/w and y=WX-14.
Replace the variable U with m/W in the expression to (m/W)X. Next, simplify (m/W)X. Now, write X and a fraction with denominator 1. Looks like this
fractions are side by side m/W X/1 . Multiply, m/W and X/1 to get mX/W.
mX/W is your final expression for UW=m and WX=y+14 expression for UX.
Answer:
no
Step-by-step explanation: