Select the correct test statistic and critical value.
1 answer:
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<h3>Answer:</h3>
x=2
<h3>Step-by-step explanation:</h3>Using similarity and enlargement;
- ΔABE is similar to ΔACD
- Therefore, the ratios of corresponding sides will be equal.
- That is; AC/AB = AD/AE = CD/BE
In this case;
AC = 48
AB = 36
AE = 24
AD = 24 + 6x - 4
= 20 + 6x
Therefore;
Thus;
(48 × 24) = 36(20 + 6x)
1152 = 720 + 216x
216x = 1152 - 720
216x = 432
x = 432 ÷ 216
= 2
Therefore, the value of x is 2
ANSWER
The volume of the dilated cube is 9375cm³.
EXPLANATION
The volume of the original cube is 75 cm³.
The scale factor for the dilation is 5.
The scale factor for volume is 5³=125
We multiply the volume of the original cube by 125 to obtain the volume of the dilated cube.
The volume of the dilated cube is
The volume of the dilated cube is 9375cm³.
EXPLANATION
The volume of the original cube is 75 cm³.
The scale factor for the dilation is 5.
The scale factor for volume is 5³=125
We multiply the volume of the original cube by 125 to obtain the volume of the dilated cube.
The volume of the dilated cube is
Answer:
Step-by-step explanation:
First, we write the rental cost with each company:
Company A
Company B
Where m: miles travelled
Now, we need to find "number of miles in a day at which the rental costs for Company A and Company B are the same". This means Pa = Pb. Then:
Solving the equation for m by taking 0.2m and 60 on both sides:
Finally, dividing 0.5 on both sides: