Answer:
We know that the equation for the speed is:
Speed = Distance/time.
First, we know that he walks 2 miles in 15 minutes.
distance = 2miles
time = 15 minutes
Then his speed in that interval is:
Speed = (2 mi)/(15 min) = (2/15) miles per minute.
Now, at this same speed, he wants to walk 3 more miles. And we want to find the equation that represents how much time she needs to walk 5 miles (the 2 first miles plus the other 3 miles)
We use again the equation:
Speed = Distance/Time
But we isolate Time, to get:
Time = Distance/Speed
Where:
Distance = 5 miles
Speed = (2/15) miles per min
Time = (5 miles)/((2/15) miles per min) = 37.5 minutes
She needs 37.5 minutes to walk the 5 miles.
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Answer: 
of an hour.
Step-by-step explanation:
1. You know that it is from 3:12 p.m. (48 minutes before 4:00 p.m.) to 4:30 p.m. (30 minutes after 4:00 p.m.)
2. Therefore, you must make the following addition:
This is 78 minutes out of 1 hour (60 minutes).
3. Therefore, you have the following fraction:
4. Now, you must reduce the fraction:
5. The answer is 13/10 on an hour.
Answer:
D = 108°
F = 180°
H = 252°
I = 288°
Explanation:
Every regular polygon with <em>n </em>sides can be divided into <em>n</em> congruent triangles. The angle with vertex the center of the polygon will measure 360 : <em>n </em>degrees. This will also be the angle of rotation under which the polygon matches itself.
We are given a regular decagon, therefore:
<em>n </em>= 10
α = 360 : <em>n </em>= 36°
We consider that, if the decagon is not rotated, A' coincides with A and the rotation is towards the next letter of the alphabet. This means that after one rotation of 36° A' will coincide with B, after two rotations A' will coincide with C and so on.
A' will coincide with D after three rotations: 3 × 36° = 108°
A' will coincide with F after five rotations: 5 × 36° = 180°
A' will coincide with H after seven rotations: 7 × 36° = 252°
A' will coincide with I after eight rotations: 8 × 36° = 288°
Answer:
If two sides of a triangle are unequal, then the measures of the angles opposite these sides are unequal, and the greater angle is opposite the greater side.
Step-by-step explanation:
