Explanation: Given: Clayton bikes 3/8<span> of </span>14.5 miles<span>. </span>38⋅14.5<span>1=43.58=5.4375 </span>miles biked<span>. Left to </span>bike<span> to </span>beach<span>: 14.4−5.4375=9.0625 </span>miles<span>. OR. </span>38 biked<span>, means 58 left to </span>bike: 58⋅14.5<span>1=72.58=9.0625 </span>miles<span>. Was this helpful? </span>
Answer:
approximately 56.51 cubic inches
Step-by-step explanation:
volume of a cone = 1 / 3 × pi × radius^2 × height
= 1/3 × 22/7 × 7.29 × 7.4
= 56.5148 cubic inches
Answer:
12√5
Step-by-step explanation:
According to the attached sketch, there are 2 triangles which we need to focus on, triangle A (in yellow) and triangle B (In red).
If you look at triangle A, we notice that X is the hypotenuse of triangle A. This means that X must be the largest length in triangle A, hence we can say that x must be greater than 24 (or 24 < x)
Now look at triangle B, in this case, they hypotenuse is 30 and x is the length of one of the sides. This means that x must be shorter than the hypotenuse (i.e x < 30)
from the 2 paragraphs above, we can see now that we can assemble an inequality in x
24 < x < 30
If we look at the choices, we can immediately ignore 33 because x must be less than 30,
working out the choices, we find that the only choice which falls into the range 24<x<30 is the 2nd choice 12√5 (= 26.83) (which is the answer)
The last 2 choices give values smaller than 24 and are hence cannot be the answer
Answer:
Step-by-step explanation:
hello :
−7x>10
multiply by : -1 : 7x < -10
x< -10/7
The point at which the lines k(x) = 5x - 1 and h(x) = -3x - 1 meet is (0, -1)
Given: k(x) = 5x - 1, h(x) = -3x - 1
We need to find the point(if any) at which these two lines k and h meets.
To find point of intersection(if any), we need to set the functions equal as at the point of intersection the (x, y) value will be same for both of the lines.
Therefore, k(x) = h(x)
=> 5x - 1 = -3x - 1
=> 8x = 0
=> x = 0
k(x=0) = 5 * 0 - 1 = -1
Hence the point at which the lines k(x) = 5x - 1 and h(x) = -3x - 1 meet is (0, -1)
Know more about "point of intersection" problems here: brainly.com/question/16929168
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