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Semenov [28]
3 years ago
5

Help pleaseeeee ASAP

Mathematics
1 answer:
dem82 [27]3 years ago
3 0

Answer:

9 cm

Step-by-step explanation:

The volume of a square based pyramid is given as :

V = 1/3a²h

Where ; a = base edge ; h = Height

Volume, V = 48 cm³ ; a = 4cm

48 = 1/3 * 4² * h

48 = 1/3 * 16h

48 * 3 = 16h

144 = 16h

h = 144 / 16

h = 9 cm

Height = 9cm

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There are 53 regular pencils in the box and some colored pencils in the box. There are a total of 84 pencils. How many colored p
vodka [1.7K]

Let be "x" the number of colored pencils in the box.

According to the information given in the exercise, there are 84 pencils in the box and 53 of them are regular pencils.

Knowing this information, you can set up the following equation:

x+53=84

Finally, you have to solve for the variable "x" in order to find its value. In order to do this, you can apply the Subtraction property of equality by subtracting 53 from both sides of the equation:

\begin{gathered} x+53-(53)=84-(53) \\ x=31 \end{gathered}

The answer is: There are 31 colored pencils in the box.

7 0
1 year ago
The National Academies of Sciences Engineering, and Medicine
snow_tiger [21]

<em>Greetings from Brasil...</em>

According to the annex, we note that

1 qt = 1 quart = 0.95L

To solve this problem, just apply some rules of 3.....

1st - how many qt's are in 15.5 cups

  qt                 cup

   1   ----------     4

   X  ----------   15.5

4 · X = 1 · 15.5

4X = 15.5

X = 15.5 ÷ 4

X = 3.875qt

Last rule of 3 to know how many liters there are in 3.875qt:

  qt                       litres

   1         ----------    0.95

3.875    ----------      Y

1 · Y = 0.95 · 3.875

<h2>Y = 3.68L</h2>

In a day a young man should drink 3.68L of water

6 0
3 years ago
Which statement is correct?<br> A. -1.5 &lt; -2<br> B. -2.5 &lt; -3<br> C. -3.5 &lt; -2.5
Pepsi [2]

Answer: C

Step-by-step explanation:

3 0
3 years ago
Plxzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz helpe me if you can
evablogger [386]

Answer:

not sure

Step-by-step explanation:

6-4 =2

2*9=18??

I'm not sure, since that was simple math, can you clarify by what you meant the difference of 6 and 4.

8 0
2 years ago
A test score of 48.4 on a test having a mean of 66 and a standard deviation of 11. Find the ​z-score corresponding to the given
Mariulka [41]

Answer:

A. -1.6; not significant

Step-by-step explanation:

The z-score of a data set that is normally distributed with a mean of \bar x and a standard deviation of \sigma, is given by:

z=\frac{x-\bar x}{\sigma}.

From the question, the test score is: x=48.4, the mean is \bar x=66, and the standard deviation is \sigma =11.

We just have to plug these values into the above formula to obtain:

z=\frac{48.4-66}{11}.

This simplifies to:  z=\frac{-17.6}{11}.

z=-1.6.

We can see that the z-score falls within two standard deviations of the mean.

Since -2\le-1.6\le2 the value is not significant.

The correct answer is A. -1.6; not significant

3 0
3 years ago
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