Answer: (you can solve it using vertical angles, supplementary angles, and same side interior angles)
Answer:
1 1/4 inches
5/48 foot
Step-by-step explanation:
to solve this question, convert feet to inches
1 feet = 12 inches
8 x 12 = 96 inches
7feet,10 3/4 inches long = (7 x 12) + 10 3/4 inches = 94 3/4 inches
Subtract 94 3/4 inches from 96 inches
96 inches - 94 3/4 inches = 1 1/4 inches
or 5/4 x 1/12 = 5/48 foot
Answer:
Net pay = $695
Step-by-step explanation:
To find her net pay, we take the gross pay and minus the deductions
Net pay = 750 - 31 - 10 - 14
Net pay = 695
Answer: Each blueberry pie costs $14 and each blackberry pie costs $18.
Step-by-step explanation:
If X is the price of a blueberry pie and Y is the price of a blackberry pie we have that:
3*X + 12*Y = $258
4*X + 3*Y = $110
We have a system of equations, to solve it first we can isolate one of the variables in one of the equations, let's isolate X in the first equation.
3*X = $258 - 12*Y
X = $258/3 - (12*Y)/3 = 86 - 4*Y
now we can replace it in the second equation and get:
4*(86 - 4*Y) + 3*Y = 110
344 - 16Y + 3Y = 110
344 - 13Y = 110
13Y = 344 - 110 = 234
Y = 234/13 = 18
So each blackberry pie costs $18.
And we can replace it in the equation for X and get the value of X.
X = 86 - 4*Y = 86 - 4*18 = 14
So the price of a blueberry pie is $14.
Answer
Find out the how long is woman shadow .
To prove
Let us assume that the height = x
Let us assume that the shadow = y
(As shadow increase with the increase in the height.)
x = ky
Where k is constant of proportionality.
As given
A 10 ft tall statue standing next to a woman casts an 18 ft shadow.
10 = k × 18
As given
If the woman is 5 ft tall .
Let us assume that the shadow of woman be s .
Put in the proprtionality equation .
5 = k × s
Compare the value of k .
s = 9 ft
Therefore the shadow of the woman be 9 ft .
Option (C) is correct .
