On a sunny day a telephone pole cast a shadow that is 10 feet long at the same time 36 inch yardstick cast a shadow that is 15 i
1 answer:
Answer:
The height of the telephone pole is 24 feet.
Step-by-step explanation:
The same rays are falling on the pole and yardstick, so at the same time of day both pole and yardstick have same angle of elevation from the ground.
<em>The height of yard stick is 36 inch and shadow is 15 inch long.</em>
<em>Let the height of pole be "x" , with shadow 10 feet long.</em>
1 feet = 12 inches
The 2 triangles are similar. Thus,
<em></em>
<em>x = 288 inches = </em>
Thus, the height of telephone pole is 24 feet.
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Answer:
1. 8.85 quarts
2. 44.25%
Step-by-step explanation:
In 15 quarts of a solution with percentage of antifreeze = 35%
Amount of antifreeze = 35% × 15
= 0.35 × 15
= 5.25 quarts
that solution is mixed with 5 quarts of a solution with percentage of antifreeze = 72%
Amount of antifreeze = 72% × 5
= 0.72 × 5
= 3.6 quarts
Total amount of mixture = 15 quarts + 5 quarts = 20 quarts
1. Now we will calculate the total amount of antifreeze in the resulting mixture.
= 5.25 + 3.6 = 8.85 quarts
2. The percentage of the resulting mixture is antifreeze
=
= 44.25%
1. total amount of antifreeze is 8.85 quarts
2. the percentage of antifreeze is 44.25%
Answer:
Step-by-step explanation:
Equation of a line is given as
Where,
m = slope of the line =
b = y-intercept, which is the value at the point where the line intercepts the y-axis. At this point, x = 0.
Let's find m and b to derive the equation for the line.
Use the coordinate pair of any two points on the line. Let's use the following,
=> on the line, when x = 0, y = -2
=> on the line, when x = 4, y = 1
Plug in the values and solve for m
b = -2 (the line intercepts the y-axis at this point)
Our equation would be =>