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3 years ago

Find the volume of the Canada post mailbox shown below.

Mathematics

1 answer:

harina [27]3 years ago

6 0

Answer:

1,152,112.5 cm3

Step-by-step explanation:

To find the volume of this mailbox we can separate in two parts:

A rectangular prism, with dimensions 180 cm x 70 cm x 85.5 cm and

A triangular prism, with dimensions 25 cm x 70 cm x 85.5 cm.

Now we need to find the volume of both parts:

V_rectangular = 180 * 70 * 85.5 = 1,077,300 cm3

V_triangular = (1/2) * 25 * 70 * 85.5 = 74,812.5 cm3

Finally, we just need to sum the volumes of the parts:

V_mailbox = V_rectangular + V_triangular = 1077300 + 74812.5 = 1,152,112.5 cm3

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Mr.Ramirez had $600. He saved 3/5 and spent 3/8 of the remainder

Alex73 [517]

Answer:

$450

Step-by-step explanation:

Given function:

$600,3/5,3/8

To solve:

$600-3/5-3/8+3/5

Subtract the two terms:

$600=\frac{30}{5}$
$600$ · $\frac{3}{5}=360$

Subtract the first value by 360:

$600-360=240$

Find 3/8 of 240 and then subtract it:

$240$ · $\frac{3}{8}=90$

Combine the terms:

$360+90=450$

Therefore, Mr.Raminrez now have a total of $450..

5 0

3 years ago

The grades of a statistics midterm are normally distributed with a mean of 70 and a standard deviation of 2. Without using a cal

butalik [34]

Answer:

.13.5%

Step-by-step explanation:

The probability that a student will receive a grade between 74 and 76 is calculated as follows:

µ+2σ=70+2(2)=70+4=74

µ+3σ=70+3(2)=70+6=76

From the above empirical rule it can be observed that 13.5% of observations fall in between 1 and 2 standard deviations above the mean.

Therefore, the probability that a student will receive a grade between 74 and 76 is 13.5%.

Thus, the correct options is A.13.5%.

5 0

3 years ago

How can you classify this triangle? A. scalene, acute B. scalene, obtuse C. isosceles, right I D. isosceles, obtuse

timofeeve [1]

Answer:

D. obtuse isosceles

Step-by-step explanation:

An obtuse triangle has one angle measuring more than 90º but less than 180º (an obtuse angle). It is not possible to draw a triangle with more than one obtuse angle. Note: It is possible for an obtuse triangle to also be scalene or isosceles. An equiangular triangle has three congruent angles.

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3 years ago

Tell whether each sequence is arithmetic, geometric, or neither.

ANEK [815]

As an overview, an arithmetic series has a common difference (d) while a geometric series has a common ratio (r). Common difference is calculated by subtracting two consecutive numbers. Common ratio is calculates by dividing two consecutive numbers.

1.) Geometric series (r = 1/2)
2.) Neither
3.) d = 3
19 - 16 = 3; 22 - 19 = 3; 25 - 22 = 3
4.) d = 2.8
5.8 - 3 = 2.8; 8.6 - 5.8 = 2.8; 11.4 - 8.6 = 2.8
5.) r = 4
24/6 = 4; 96/24 = 4; 384/96 = 4
6.) r = 4
12/3 = 4

8 0

3 years ago

Read 2 more answers

Would you classify 196 as a perfect square, perfect cube, both, or neither?

Olegator [25]

196 is a perfect square

4 0

3 years ago