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2 years ago

Which equation can you use to solve for the volume of the cake?

Mathematics

1 answer:

lesantik [10]2 years ago

7 0

Answer:

C. (40 × 60 × 10) + (30 × 60 × 10) = V

Step-by-step explanation:

Picture of the cake can be found in the attachment below :

To solve, we resolve the cake into two distinct boxes :

The lower which is lateral sits parallel, whose volume, = (length * width * height) = (60 * 30 * 10)

And the other which sits vertically ;

Volume = (length * width * height) = (10 * 60 * 40)

Then, we add;

Overall volume:

(60 * 30 * 10) + (10 * 60 * 40)

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An Olympic -size swimming pool in the shape of a rectangular solid has a volume of 3150 cubic meters,, a length of 70 meters,, a

Lyrx [107]

Volume=length*width*depth.
=>
3150=70*35*D
=>
D=3150/(70*35)
=9/7 m
=1.286m

(hope athletes don't dive in this pool)

5 0

2 years ago

6. a. Sixty students in a class took an examination in Physics and Mathematics. If 17 of them passed Physics only, 25 passed in

Ivahew [28]

Let $C$ be the set of all students in the classroom.

Let $P$ and $M$ be the sets of students that pass physics and math, respectively.

We're given

$n(C) = 60$

$n(P \cap M') = 17$

$n(P \cap M) = 25$

$n((P \cup M)') = n(P' \cap M') = 9$

i. We can split up $P$ into subsets of students that pass both physics and math $(P\cap M)$ and those that pass only physics $(P\cap M')$ . These sets are disjoint, so

$n(P) = n(P\cap M) + n(P\cap M') = 25 + 17 = \boxed{42}$

ii. 9 students fails both subjects, so we find

$n(C) = n(P\cup M) + n(P\cup M)' \implies n(P\cup M) = 60 - 9 = 51$

By the inclusion/exclusion principle,

$n(P\cup M) = n(P) + n(M) - n(P\cap M)$

Using the result from part (i), we have

$n(M) = 51 - 42 + 25 = 34$

and so the probability of selecting a student from this set is

$\mathrm{Pr}(M) = \dfrac{34}{60} = \boxed{\dfrac{17}{30}}$

7 0

1 year ago

The area of a figure is 36 centimeter square. Give 4 possible shapes of the figure. Where possible give 3 possible sets of dimen

astra-53 [7]

1. Square of side= 6cm
2. Rectangle of side= 9cm x 4cm
3. Circle of radius is 6

8 0

2 years ago

Read 2 more answers

Factor this: a^n+a^n+1

NARA [144]

Answer:

1 + 2 a^n

Step-by-step explanation:

4 0

2 years ago

Which of the following is an example of the atmosphere inracting with the biosphere

Paha777 [63]

Answer:

rain (hydrosphere) falls from clouds in the atmosphere to the lithosphere and forms streams and rivers that provide drinking water for wildlife and humans as well as water for plant growth (biosphere)

Step-by-step explanation:

7 0

1 year ago