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bearhunter [10]
2 years ago
11

Reduce the following fractions to lowest terms: 36/39

Mathematics
1 answer:
liubo4ka [24]2 years ago
3 0

Answer:

12/13

Step-by-step explanation:

36/39

Divide by 3

12/13

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Find the volume of the garden shed
Leno4ka [110]

Answer:

47.3 m³

Step-by-step explanation:

The garden shed is made up of a rectangular prism and a pyramid.

<h3><u>Volume of a rectangular prism</u></h3>

\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}

<h3><u>Volume of a pyramid</u></h3>

<u />

From inspection of the given diagram, the slant height of the pyramid is 3.5 m.  

Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

\begin{aligned}\implies a^2+b^2&=c^2\\2^2+h^2&=3.5^2\\h^2&=8.25\\h&=\sqrt{8.25}\;\; \sf m\end{aligned}

Therefore:

\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}

<h3><u>Volume of the garden shed</u></h3>

\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}

6 0
1 year ago
Read 2 more answers
A triangle has one side length of 12 inches and another of 8 inches. Describe all possible lengths of the third side.
jasenka [17]

Answer:

The possible lengths of the third side is all real numbers greater than 4 inches and less than 20 inches

Step-by-step explanation:

we know that

<u>The Triangle Inequality Theorem</u>. states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

x -----> the possible lengths of the third side

Applying the Inequality Theorem

1) 12+8 > x

20 > x

Rewrite

x < 20 in

2) 8+x > 12

x> 12-8

x > 4 in

therefore

4 in < x < 20 in

The possible lengths of the third side is all real numbers greater than 4 inches and less than 20 inches

3 0
3 years ago
Karan and Preeti are sharing a packet of sweets in the ratio of 2:3 .If the total sweets is 50,how many sweets will Preeti get
Viktor [21]

Answer:

30 sweets

Step-by-step explanation:

From the above question

The ratio is given as:

Karan : Preeti

2:3

The sum of the proportion = 2 + 3 = 5

Total number of sweets = 50 sweets

The number of sweets Preeti will get is calculated as:

3/5 × 50 sweets

= 30 Sweets

Therefore, the number of sweets Preeti will get is 30 sweets

8 0
3 years ago
At work, Brett must check and record the internal temperature of the freezer on an hourly basis. When working properly, the temp
antoniya [11.8K]

Answer:

B. zero

Step-by-step explanation:

If the temperature is supposed to remain constant over time (the same) when working properly, then this means that there is no increase or decrease over time.

If there were a line to represent this, then it would be a straight line with a slope of 0 because the temperature would remain the same.

4 0
3 years ago
2 tbsp. of peanut butter have 0.25 of total carbohydrate a day what fraction is that?
sergij07 [2.7K]

0.25 is 1/4 if that's what youre asking, i'm not sure,

6 0
2 years ago
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