Refer to the attachment for answer
Answer:
72.5mph
Step-by-step explanation:
There is an easy way to work this. Divide the miles he drove by 2 so that you know how much he drove in 1/5 hours.
29/2= 14.5miles driven in 1/5 hours
Now, just multiply that number by 5 so that you know how many miles he drove in 5/5 hours (one full hour).
14.5*5= 72.5miles
<span>3 = log(8) + log(x³) </span>
<span>When adding logs, you are multiplying the terms altogether. </span>
<span>3 = log(8x³) </span>
<span>Then, by log_a b = n ==> aⁿ = b: </span>
<span>10³ = 8x³ [Since the base is not given, I assume that the base is 10] </span>
<span>1000 = 8x³ </span>
<span>Finally, solve for x. </span>
<span>1000/8 = x³ </span>
<span>x³ = 125 </span>
<span>x = (125)^(1/3) . . .Set both sides to the power of 1/3. </span>
<span>x = 5 </span>
<span>Hence, x = 5. </span>
Step-by-step explanation:
Firstly, notice that this shape is composed of ³/₄ of a circle and ¹/₂ of a square;
The lower left part is the ¹/₂ square, with only 2 sides (a left and lower side) of length 3 units;
The perimeter of this part of the shape is simply the sum of the two sides:
3 + 3 = 6
The remaining part is the ³/₄ circle, which has a radius of 3 units;
The circumference of a circle is found by the formula:
πd
d = diameter = 2 × radius
We only have ³/₄ of the circle, however, so we only have ³/₄ the circumference:
³/₄ × π(2(3)) = ³/₄ × 6π
= ⁹/₂π (or, equally, 4.5π)
So the total perimeter is the sum of the perimeter of the ¹/₂ square and the ³/₄ circle:
4.5π + 6
