Answer:
Volume of the smaller cone = 8.34 cm³
Step-by-step explanation:
"If two figures are similar, their dimensions will be proportional.
Following this rule,
Ratio of the dimensions of two cones = 
= 
= 
= 2.5
Similarly, "ratio of the volumes of two similar figures is cube of the dimensional ratio".
Ratio of the volumes = (ratio of the dimensions)³
= 8.384 cm³
≈ 8.4 cm³
Therefore, volume of the smaller cone is 8.4 cm³.
Answer:
food purchased= $9,600
Step-by-step explanation:
Giving the following information:
Chivis Mexican restaurant pledges 12% of any food purchased
Minimum donation= $1,152
<u>To calculate the food to be purchased, we need to use the following formula:</u>
Donation= food purchased*0.12
1,152= food purchased*0.12
1,152/0.12= food purchased
food purchased= $9,600
<span><span>The sum of the degree measures of two complementary angles is 90, so subtract 18 from 90.
</span><span>
</span><span>The sum of the degree measures of two supplementary angles is 180...<span>
</span></span></span>
Step-by-step explanation:
3r + (9 + 2r + 1)
this can be simplified :
3r + (9 + 2r + 1) = 3r + 2r + 9 + 1 = 5r + 10
Answer:
9 centimeters
Step-by-step explanation:
Let the width be represented by l - 5, where l is the length.
Use the area formula, A = lw, and plug in l - 5 as w, and 36 as the area. Then, simplify and factor
A = lw
36 = l(l - 5)
36 = l² - 5l
0 = l² - 5l - 36
Factor:
(l - 9)(l + 4)
Set equal to zero and solve for both solutions:
(l - 9)(l + 4) = 0
l - 9 = 0
l = 9
l + 4 = 0
l = -4
The length cannot be negative, so the answer has to be 9.
The length is 9 centimeters
