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finlep [7]
2 years ago
10

What is the volume of the pyramid?

Mathematics
2 answers:
s2008m [1.1K]2 years ago
5 0

Answer:

16\sqrt{3} cm^{3}

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo,

<em>A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12StartRoot 3 EndRoot cm2. </em>

<em>What is the volume of the pyramid?</em>

My answer:

As we know, The volume of a pyramid = \frac{1}{3}base area × its height

Given:

  • Side lenght of the base is; 4\sqrt{3} cm

=> The area of the base is 12\sqrt{3} cm^{2}

  • In Δ ACB measure of angle ACB is 90° and m∠ CAB is 30°

We use: tan(30) = \frac{BC}{AC}

<=> BC = 4\sqrt{3}*tan(30)

= 4 cm

And BC is the height of the the pyramid

=> The volume of a pyramid = \frac{1}{3} 12\sqrt{3} cm^{2} * 4 cm

= 16\sqrt{3} cm^{3}

SOVA2 [1]2 years ago
5 0

Answer:

B

Step-by-step explanation:

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If bd = 7x-10, bc = 4x-29, and cd = 5x-9, find each value
Airida [17]

Answer:

bd=88, bc=27, cd=61

Step-by-step explanation:

In this problem we have that

bd=bc+cd

we have

bd=7x-10

bc=4x-29

cd=5x-9

substitute the values and solve for x

7x-10=(4x-29)+(5x-9)

Group terms that contain the same variable in the right sides

7x-10=(4x+5x)+(-29-9)

Combine like terms in the right side

7x-10=9x-38

9x-7x=-10+38

2x=28

x=14

<u><em>Find the value of bd</em></u>

bd=7(14)-10=88

Find the value of bc

bc=4(14)-29=27

<u><em>Find the value of cd</em></u>

cd=5(14)-9=61

4 0
2 years ago
Alexandra and her children went into a grocery store and she bought $7.65 worth of
zalisa [80]

Answer:

\large \boxed{\text{3 apples and 6 bananas}}

Step-by-step explanation:

 Let a = the number of apples

And b =  the number of bananas. Then,  

\begin{array}{rcll}(1) \, 1.75a + 0.40 b & = & 7.65&\\(2)\, \, \, \, \quad \qquad a + b & = &9&\\(3) \, 0.40a + 0.40b & = &3.60&\text{Multiplied (2) by 0.40}\\1.35a &  =&4.05\\(4) \, \,  \quad \qquad \qquad a & =& \mathbf{3}&\text{Divided each side by 1.35}\\3 + b & = &9& \text{Substituted(4) into (2)}\\b &=& \mathbf{6}&\text{Subtracted 3 from each side}\\\end{array}\\\text{They bought $\large \boxed{\textbf{3 apples and 6 bananas}}$}

Check:

\begin{array}{cccl}3(1.75) + 6(0.40) = 7.65 & \qquad & 3 + 6 = 9\\5.25 + 2.40 = 7.65 & \qquad & 9 = 9\\7.65 = 7.65 & \qquad & \\\end{array}

OK.

3 0
1 year ago
Write three numerical expressions that are equivalent to (0.0004) . (0.005)
yKpoI14uk [10]

<em><u>The three equivalent numerical expressions are:</u></em>

(0.0004) . (0.005) = (\frac{4}{10000}).(\frac{5}{1000})

(0.0004) . (0.005)= (\frac{1}{2500}).(\frac{1}{200})

(0.0004) . (0.005) = (4 \times 10^{-4}).(5 \times 10^{-3})

<em><u>Solution:</u></em>

We have to write three numerical expressions that are equivalent to (0.0004) . (0.005)

<em><u>Given expression is:</u></em>

(0.0004) . (0.005)

<em><u>First numerical expression:</u></em>

We know that 0.0004 can be written in fraction as:

0.0004 = \frac{0.0004 \times 10000}{10000} = \frac{4}{10000}

Similarly,

0.005 = \frac{0.005 \times 1000}{1000} = \frac{5}{1000}

Therefore,

(0.0004) . (0.005) = (\frac{4}{10000}).(\frac{5}{1000})

<em><u>Second numerical expression:</u></em>

The first numerical expression can be simplified to get second numerical expression

(\frac{4}{10000}).(\frac{5}{1000}) = (\frac{1}{2500}).(\frac{1}{200})

<em><u>Third numerical expression:</u></em>

The given expression can be expressed in scientific notation:

<em><u>Steps for converting to scientific notation:</u></em>

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

0.0004 = 4 \times 10^{-4}\\\\0.005 = 5 \times 10^{-3}

Therefore, third equivalent numerical expression is:

(0.0004) . (0.005) = (4 \times 10^{-4}).(5 \times 10^{-3})

8 0
1 year ago
What is an equation for the linear function whose graph contains the points (9, 7) and (4, −8) ? Enter your answers in the boxes
Ahat [919]
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\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-7=3(x-9)
7 0
2 years ago
Read 2 more answers
Which of the following values are in the range of the function graphed below?
Elanso [62]
Hello!

The range is all of the y-values of the function. As we can see, the function is at y-values 0, -2,-4 and -6.

Therefore, our answers are 0 ,-2 and -6.

I hope this helps!
4 0
2 years ago
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