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Mathematics

1 answer:

Julli [10]3 years ago

8 0

Answer:

Step-by-step explanation:

Multiplecation by the length width, and the height, then divide and its 16.

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He cross-sectional areas of a right pyramid and a right cylinder are congruent. The right pyramid has a height of 5 units, and t

AleksandrR [38]

Answer:

The volume of the pyramid is not equal to the volume of the cylinder.

Step-by-step explanation:

A right cylinder has the circular cross-sectional area and if the cross-sectional areas of a right pyramid and a right cylinder are the same then the pyramid must be a right circular cone.

Now, the volume of a right cylinder is πr²h and that of a right circular cone is 1/3 πr²h.

Therefore, the radius of the base of the cone and that of the cylinder is the same and their heights are equal to be 5 units, then the volume of the pyramid is not equal to the volume of the cylinder. (Answer)

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3 years ago

Two friends are eating from a bag of 32 skittles sarah eats 1/2 of the 32 skittle and jami eats 1/4 of the skittles how many of

abruzzese [7]

Jami ate 8 skittles and Sarah ate 16 of the skittles together they ate a combined total of 24

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3 years ago

Suppose a and b are both non zero real numbers. Find real numbers c and d such that 1/a+ib= c+id

Thepotemich [5.8K]

$\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

Explanation

$\frac{1}{a+bi}=c+di$

Step 1

multiplicate by the conjugate

$\begin{gathered} \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(bi)^2} \\ \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(-b^2)}=\frac{a-bi}{a^2+b^2} \end{gathered}$

notice that

$\begin{gathered} \frac{1}{a+bi}=\frac{a-bi}{a^2+b^2}=\frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i \\ \frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i=c+di \\ so \\ \end{gathered}$ $\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

I hope this helsp you

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1 year ago

A bag contains 80 marbles: 40 are red, 20 are blue, and 20 are black. what is the probability of selecting a red or blue marble

DedPeter [7]

40 % out of 80 for red
20% out of 80 for blue

4 0

3 years ago

CAN SOMEONE PLEASE EXPLAIN TO ME HOW TO WORK THIS OUT ?

Maksim231197 [3]

Answer: HI = √97

Step-by-step explanation: