The measure of ab and df are 3cm and 7.5cm respectively
<h3 /><h3>Similarity theorem of shapes</h3>
In order to determine the missing sides, we need to take the ratio of the similar sides as shown:
1) ab/de = ac/df
ab/de = ab+bc/df
Substitute the given values
ab/2 = ab+4.5/2+3
ab/2 = ab+4.5/5
2(ab+4.5) = 5ab
2ab+9=5ab
3ab = 9
ab = 3cm
Hence the measure of ab is 3cm
2) ae/ce = bf/df
24/9 = 20/df
24df =. 9(20)
24df = 180
df = 7.5cm
Hence the measure of ab and df are 3cm and 7.5cm respectively
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The cost of using 19 HCF of water is $32.49
Given in the question:
The monthly cost (in dollars) of the water use (in dollars) is a linear function of the amount of water used (in hundreds of cubic feet, HCF)
The cost for using 17 HCF of water is using $32.13
and, the cost of using 35 HCF is $61.83.
To find the cost of using 19 HCF of water.
Now, According to the question:
The cost for using 17 HCF of water is $32.13
and, the cost of using 35 HCF is $61.83.
To find the slope:
(17, 32.13) and (35, 61.83)
Slope = (61.83 - 32.13)/ (35 - 17) = 1.65
We know that:
Formula of slope :
y = mx + b
32.13 = 1.65 x 17 + b
b = 1.14
The equation will be :
C(x) = 1.65x + 1.14
Now, To find the cost of using 19 HCF of water.
C(19) = 1.65 × 19 + 1.14
C(19) = $32.49
Hence, the cost of using 19 HCF of water is $32.49.
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Answer: X can not be 11 or higher, so that means this problem will be 10 or lower. There for the value of X=6
Step-by-step explanation:
Answer:
21 times
Step-by-step explanation:
Given


Required
The least number of times to land on 3
This is calculated using:



Answer:
<u>Radius: 12 units </u>
- Area: πr² = 3.14*12² = 452.16 square units
<u>Diameter: 16.8 units</u>
- Area: πd²/4 = 3.14*16.8²/4 = 221.5584 square units
<u>Radius: 3.4 units</u>
- Area: πr² = 3.14*3.4² = 452.16 square units
<u>Diameter: 10 units</u>
- Area: πd²/4 = 3.14*10²/4 = 78.5 square units