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ladessa [460]
2 years ago
10

Help ill give 5 stars if correct

Mathematics
1 answer:
Step2247 [10]2 years ago
4 0

Answer:

7 1/4

Step-by-step explanation:

12 3/4- 5 1/2

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The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1
marshall27 [118]

Answer:

<h3><u>Cylinder</u></h3>

\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

  • r = 6 cm
  • h = 18 cm

\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}

<h3><u>Cube</u></h3>

\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}

Given:

  • x = 8 cm

\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}

<h3><u>Volume available to be filled with water</u></h3>

Volume of cylinder - volume of cube

= 684π - 512

= 1532.75204 cm³

    1 litre = 1000 cm³

⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³

As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder.  Therefore, the water will <u>not</u> come over the top of the container.

4 0
2 years ago
The average mark of candidates in an aptitude test was 128.5 with a standard deviation of 8.2.Three scores extracted from the te
Luba_88 [7]

Answer:

102

Step-by-step explanation:

We have the mean (m) 128.5 and the standard deviation (sd) 8.2, we must calculate the value of z for each one and determine whether or not it is an outlier:

z = (x - m) / sd

In the first case x = 148:

z = (148 - 128.5) /8.2

z = 2.37

In the second case x = 102:

z = (102 - 128.5) /8.2

z = -3.23

In the first case x = 152:

z = (152 - 128.5) /8.2

z = 2.86

The value of this is usually between -3 and 3, therefore when x is 102 it goes outside the range of the value of z, which means that this is the outlier.

3 0
2 years ago
I NEED HELP PLEASE!!!!!!!
Mila [183]
It should be acute because if A and B are complementary then B and A added together should be 90 so 90-30=60 and 60 would be an acute angle
5 0
3 years ago
The Big Dipper ice cream store charges 25 cents for a cone and 75 cents for each scoop of ice cream added to the cone. What will
yulyashka [42]
Double dip ice-cream cone = 25 + 2(75) = 175 cents = $1.75


Answer: $1.75
4 0
3 years ago
Read 2 more answers
Express 80 miles per hour in kilometers per hour
Anna [14]
80 miles per hour is 128.74752 kilometers per hour
8 0
3 years ago
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