Answer:
1) 20 stars; 30 points.
2) 28 stars, 42 points.
3) 38 stars, 57 points.
Step-by-step explanation:
<h3>
The missing table is attached.</h3>
Let be "x" the numbers of stars Roberto collects and "y" his total points.
The proportional relationship has this form:
Where "k" is the constant of proportionality.
We can choose the point 
) from the table, where:
Substituting these values into and solving for "k", we get:
Knowing the value of "k", we determine that the following Numbers of stars and the Total points could be used as the missing values in the table:
1) For 
:
2) For 
:
3) For 
:
"If you subtract 17 from my number and multiply the difference by negative 4, the result is negative 92.
n= number
(n-17)*(-4) = -92
distribute
-4 *n - 17*(-4) = -92
-4n +68 = -92
subtract 68 from each side
-4n +68-68 = -92 -68
-4n = -160
divide each side by -4
-4n/-4 = -160/-4
n = 40
Julio's number is 40
Answer:
1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
Step-by-step explanation:
1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
Step-by-step explanation:
3/5 pound of clay = 1 bowl
=> 10 pounds of clay = 10 / (3/5) = 16.666 bowls
Hence the potter can make 16 bowls.
Answer:
The answer is 48 ft
Step-by-step explanation:
Step 1:
The garden before the fence is: <u>(refer to graphical representation in attached file)</u>
o = side
b = base
h= hypotenuse
Use Sin (t) formula;
Sin (t) = o/h
Sin (t) = 80/100
Sin (t) = 0.8
Step 2:
The garden was divided in 2 parts and a is the missing length which needed to be found <u>(refer to graphical representation in attached file)</u>
For Small triangle <u>(refer to graphical representation in attached file)</u>;
a = side
c = base
b= hypotenuse
Use Sin (t) formula;
Sin (t) = a/b
0.8 = a/60
A = 0.8x60
A = 48 ft
