Answer:
<u>Russell runs 9/50 of a mile or 0.18 miles in one minute.</u>
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Distance run by Russell = 9/10 of a mile
Time Russell runs 9/10 of a mile = 5 minutes
2. How many miles does he run in one minute?
Speed of Russell = Distance run by Russell / Time Russell runs
Speed of Russell = (9/10) / 5
Speed of Russell = 9/10 * 1/5 = 9/50
Russell runs 9/50 of a mile in one minute. If we want to express the answer in decimals, we have : 9/50 = 0.18
<u>Russell runs 9/50 of a mile or 0.18 miles in one minute</u>
B :81 EXPLANATION
The angle with the greatest measure corresponds to the longest:
Since we know the three side lengths, we use the cosine rule to obtain;
{a}^{2} = {b}^{2} + {c}^{2} - 2bc \cos(A)
where a=21, b=18 and c=14
{21}^{2} = {18}^{2} + {14}^{2} - 2 \times 18 \times 14\cos(A)
44 1= 324+ 196 - 504\cos(A)
44 1= 520 - 504\cos(A)
44 1 - 520 = - 504\cos(A)
- 79 = - 504\cos(A)
\cos(A) = 0.1567
A = \cos ^{ - 1} (0.1567) = 80.98 \degree
Answer:
one half is shaded therefore one is on top and two is on the bottom
Answer:
Step-by-step explanation:
12) A(x, 5) and B(-4,3)
slope = -1
We want to determine the value of x so that the line AB is parallel to another line whose slope is given as -1
Slope, m is expressed as change in y divided by change in x. This means
Slope = (y2 - y1)/(x2 - x1)
From the information given
y2= 3
y1 = 5
x2 = -4
x1 = x
Slope = (3-5) / (-4-x) = -2/-4-x
Recall, if two lines are parallel, it means that their slopes are equal. Since the slope of the parallel line is -1, therefore
-2/-4-x = -1
-2 = -1(-4-x)
-2 = 4 + x
x = -2 - 4 = - 6
x = -6
13) R(3, -5) and S(1, x)
slope = -2
We want to determine the value of x so that the line RS is parallel to another line whose slope is given as -2
Slope = (y2 - y1)/(x2 - x1)
From the information given
y2= x
y1 = -5
x2 = 1
x1 = 3
Slope = (x - -5) / (1 - 3) = (x+5)/-2
Since the slope of the parallel line is -2, therefore
(x+5)/-2 = -2
x + 5 = -2×-2
x + 5 = 4
x = 4 - 5 = - 1
Answer:
Step-by-step explanation:
\frac{4}{3x²-23x+40}
=\frac{4}{3x²-15x-8x+40}
=\frac{4}{3x(x-5)-8(x-5)}
=\frac{4}{(x-5)(3x-8)}
=\frac{4(x-3)}{(x-5)(3x-8)(x-3)}
2.
\frac{9x}{3x²-17x+24}
=\frac{9x}{3x²-9x-8x+24}
=\frac{9x}{3x(x-3)-8(x-3)}
=\frac{9x}{(x-3)(3x-8)}
=\frac{9x(x-5)}{(3x-8)(x-5)(x-3)}
