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3 years ago

What is the volume??????

Mathematics

2 answers:

Ugo [173]3 years ago

7 0

Answer:

$36\:\mathrm{in^3}$

Step-by-step explanation:

The area of a prism is given by the product of the base and the height. In this triangular prism, the area of the either base is:

$A=\frac{1}{2}\cdot 3\cdot 4=6\:\mathrm{in^2}$

The height is marked as $6$ inches. Thus, the volume of the prism is:

$\frac{1}{2}\cdot 3\cdot 4\cdot 6=\boxed{36\:\mathrm{in^3}}$

d1i1m1o1n [39]3 years ago

4 0

36 in3. Hope this helps!

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Mary’s coffee shop borrowed $9,850 for new chairs and tables. The money was borrowed for 9 months at 9 ¼ % discounted rate, what

Greeley [361]

Let
M---------------> money borrowed -------------> <span>$9,850
r--------------> </span>discounted rate--------> <span>9 ¼=9.25-------> 0.0925
t---------------> time--------> </span><span>9 months=9*30=270 days
D-------------> </span><span>amount of the discount

we know that
D=M*r*t/360=(9850)*(0.0925)*(270/360)=683.34

the answer is $683.34</span>

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3 years ago

A worker is installing blue and white square tiles in a kitchen. Blue tiles have different lengths than white tiles. A row of 8

ipn [44]

Answer:

8x + 16y = 39 and

40x + 8y = 42

Step-by-step explanation:

Let the length of the blue tiles is b inches and that of the white tiles is w inches.

So, given that a row of 8 blue tiles and 16 white tiles has a length of 39 inches and a row of 40 blue tiles and 8 white tiles has a length of 42 inches.

Therefore, we can write the system of linear equations that represents the relationship between the length if a blue tile and a white tile in inches as

8x + 16y = 39 and

40x + 8y = 42 (Answer)

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3 years ago

I need estimate then record the product

creativ13 [48]

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8 0

3 years ago

fredy the frog was 18 feet down below ground in a well and is trying to climb out the first day he climbed up 7 feet but slid ba

lisov135 [29]

Writing this situation out in terms of operating with integers and indicating Fredy's position at the moment is as follows:

Fredy's position in the well = <u>13 feet in depth</u> or 5 feet from the bottom.

<h3>What is an integer?</h3>

An integer is a whole number, both positive and negative.

<h3>Data and Calculations:</h3>

Depth of well = 18 feet

Height climbed the first day = 7 feet

Height climbed the second day = 4 feet

Height of climb up the well = 11 feet

Depth of slid on the first day = 2 feet

Depth of slid on the second day = 4 feet

Total slid down the well = 6 feet (2 + 4)

The position of Fredy the Frog is at 13 feet (18 - 11 + 6) depth

Thus, based on integer operations, we can conclude that Fredy the Frog has only climbed <u>5 feet</u> (18 - 13) from the well's depth.

Learn more about integers at brainly.com/question/17695139

#SPJ1

<h3>Question Completion:</h3>

Fredy the frog was 18 feet down below ground in a well and is trying to climb out. The first day he climbed up 7 feet but slid back down <u>2 feet</u> the next day he climbed 3 feet but slid back down 4 feet.

7 0

2 years ago

Find the variance of the set of data to the nearest tenth: 5, 8, 2, 9, 4

Orlov [11]

Answer:

Therefore the variance on the data set is 8.3

Step-by-step explanation:

In order to find the variance of the set of data we first need to calculate the mean of the set, which is given by:

mean = sum of each element / number of elements

mean = (5 + 8 + 2 + 9 + 4)/5 = 5.6

We can now find the variance by applying the following formula:

$s^{2} = \frac{\sum_{(i=1)}^n(x_i - mean)^2}{n -1}$

So applying the data from the problem we have:

s² = [(5 - 5.6)² + (8 - 5.6)² + (2 - 5.6)² + (9 - 5.6)² + (4 - 5.6)²]/(5 - 1)

s² = [(-0.6)² + (2.4)² + (-3.6)² + (3.4)² + (-1.6)²]/4

s² = [0.36 + 5.76 + 12.96 + 11.56 + 2.56]/4 = 8.3

Therefore the variance on the data set is 8.3

7 0

3 years ago