If Charlie runs 3 yards per second and there are 3600 seconds in an hour, then he runs
3 * 3600 = 10800 yards per hour.
There are also 1760 yards in one mile, so we need to divide 10800 by 1760 to find out how many miles it is:
10800 ÷ 1760 =
= 6,136363636363636
I think we should round it:
6,136363636363636 ≈ 6,1
Answer: Charlie runs with a speed of about 6,1 miles per hour.
Option A:

Solution:
<u>To evaluate tan(105)°:</u>
105° can be written as sum of 60° and 45°.
tan(105)° = tan(45 + 60)°
Using the summation identity:


We know that, tan(45)° = 1 and tan(60)° = √3
Substitute this in the above equation.


To rationalize the denominator multiply by the conjugate
.

Using exponent formula:
and 

Using exponent formula: 





Hence option A is the correct answer.
Answer:
she will need 735 buttons.
Step-by-step explanation:
11+2+2=15 buttons for each blouse
15x49=735 buttons total
Let Ted be x.
Ed is 7 years older = x + 7
Ed = (3/4)Ted
(x + 7) = (3/4)x
x + 7 = 3x/4
x - 3x/4 = -7
x/4 = -7
x = -28, Ted = -28 years.
(x + 7) = -28 + 7 = -21, Ed = -21 years
Goodness. We had negative numbers for the ages, well does that make sense? No it doesn't.
Our answer is correct. But the sense in the question is lacking. The question has been wrongly set.
<span>We might assume negative ages to mean before they came into the world, before birth! </span>
Answer:
Y=-1+10/3x
Step-by-step explanation:
The slope is 10/3x and the point is -1. I think this is correct, but I’m not sure