Answer:
The answer to your question is width = 6 ft; length = 24 ft
Step-by-step explanation:
Data
Area = 144 ft²
width = w
length = l
The width is 1/4 of the length
Formula
Area = width x length = w x l
Length = 4 width l = 4w
Process
1.- Substitute length in the first equation
Area = w(4w)
Simplify
Area = 4w²
2.- Solve for w
w = 
Substitution
w = 
Simplification
w = 
Result
w = 6 ft
3.- Find l
l = 4(6)
l = 24 ft
Answer:
Any line with the slope of 2/3 would be perpendicular.
Step-by-step explanation:
To find this, first solve the equation for y.
-2y = 3x + 7
y = -3/2x - 7/2
Perpendicular lines always have opposite and reciprocal slopes. Therefore, we flip the slope in the original equation (-3/2 becomes -2/3) and then we change the sign (-2/3 becomes 2/3)
Answer: The height of the new player is 210 cm
Step-by-step explanation: The previous mean of the entire team has been calculated as 200.3
What this means is that, we have a summation of the observed data and a summation of the frequency of data.
The mean was calculated as
Sum FX/Sum F = 200.3
Where Sum FX is 2604 and Sum F is 13
However, our calculation should now read thus,
Sum FX/Sum F = 201 {where 201 is the new mean}
By cross multiplication we now have
Sum FX = Sum F x 201
Remember that a new member has joined the team so our Sum F is now 14 and we can now express it as thus
Sum FX = 14 x 201
Sum FX = 2814
If the summation of the observed data after adding a new team member is now 2814, then the addition to the previous observed data would be
2814 - 2604 = 210
So the height of the new member added to the team is 210 cm.
Answer:
A. <u>4</u> trucks will make $80 because 4 × 20 = 80, so they need to wash <u>38</u> cars to make the other $380 because 38 × 10 = 380.
($80 + $380 = $460)
B. <u>15</u> trucks will make $300 because
15 × 20 = 300, so they need to wash <u>16</u> cars to make the other $160 because 16 × 10 = 160. ($300 + $160 = $460)
C. <u>21</u> trucks will make $420 because
21 × 20 = 420, so they need to wash <u>4</u> cars to make the other $40 because 4 × 10 = 40.
($420 + $40 = $460)
D. <u>27</u> trucks will make $540, so they won't have to wash any cars because they would have already exceeded their goal of $460.
Not sure what to do for letter E. Sorry. I hope the rest makes sense though :)
a) ABD and CBD are Supplementary angles and need to equal 180 degrees
Subtract 117 from 180 for CBD:
CBD = 180 - 117 = 63 degrees
b) In triangles the the shortest side would be opposite the shortest angle.
Since angle D is 56 degrees ( the smallest inside angle) then side BC would be the shortest side.
c) The side opposite the largest angle would be the longest.
Angle B is 63 degrees ( the largest) so side CD is the longest.
