Volume of cone formula: V = PI x r^2 x h/3
Volume of sphere formula: 4/3 x PI x r^3
Cone: 3.14 x 9^2 x 9/3 = 763.02 cubic inches
1/2 sphere: 1/2 x 4/3 x 3.14 x 9^3 = 1526.04 cubic inches.
Total volume : 1526.04 + 763.02 = 2289.1 cubic inches
Answer: £225
Step-by-step explanation:
Let Sarah's amount be represented by x.
Since Caroline gets three times as much as Sarah, Caroline will get: 3x
Bridget gets twice as much as Caroline, therefore Bridget will get: 2 × 3x = 6x
Sarah = x
Caroline = 3x
Bridget = 6x
Total = x + 3x + 6x = 10x
Caroline's faction is 3/10. We then multiply the fraction by £750. This will be:
= 3/10 × £750
= 0.3 × £750
= £225
Caroline will get £225
Answer:
It is $9.99 discounted off of the original price, and the sale price would be $39.96.
Step-by-step explanation:
49.95 × .20 (20%) = 9.99
49.95 - 9.99 = 39.96
Answer:
The maximum area is 800 ft².
Step-by-step explanation:
Lets call L the length of the side parallel to the garage and M the length of the other two sides. The total amount to fence is 2M+L and the area is L*M.
Since Pat got 80ft of fence, then 2M+L = 80, hence L = 80-2M. By replacing the value of L in the formula of the area, we get that
A(M) = M*(80-2M) = -2M² + 80M
The maximum of this function can be obtaining throught derivation, but since it is a quadratic with negative main coefficient, we know that the maximum is the vertex. The x-coordinate of the vertex is '-b/2a' = -80/2*(-2) = 20. The y-coordinate (which represents the maximum area), as a result, is A(20) = -2*20²+80*20 = 800.
800 is the maximum area that can be fenced. Note that M = 20 and L = 80-2L = 40.
Using translation concepts, the vertices of the rectangle after the translation about the origin by 180° will be as follows:
E'(-4,3), F'(7,-5) and G(-2,-8).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The rule for a rotation of 180º about the origin is:
(x,y) -> (-x,-y).
Hence, for triangle EFG, the vertices after the translation will be given as follows:
E'(-4,3), F'(7,-5) and G(-2,-8).
More can be learned about translation concepts at brainly.com/question/4521517
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