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3 years ago

If the altitude is √7, find the volume. 36√7 cu. units 18√7 cu. units 12√7 cu. units

Mathematics

1 answer:

rosijanka [135]3 years ago

8 0

Answer:

$Volume = 12\sqrt{7}$ cubic units

Step-by-step explanation:

Volume of the square pyramid is given as ⅓*area of base*height of pyramid.

Where,

Area of base = 6*6 = 36

Height of pyramid = altitude = $\sqrt{7}$ units

Plug the values into the formula to find volume.

$Volume = \frac{1}{3}*36*\sqrt{7}$

$Volume = 12*\sqrt{7}$

$Volume = 12\sqrt{7}$ cubic units

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I made some brownies and cookies to sell for a local fundraiser. The cookies sold for $0.75 each and the brownies sold for $1.25

juin [17]

Answer:

Brownies made the most money

Step-by-step explanation:

Let c = cookies

b = brownies

We sold 51 items so c+b = 51

Cookies are .75 and brownies are 1.25

.75c + 1.25 b = 53.25

We have 2 equations and 2 unknowns

c = 51-b

Substituting into the second equation

.75(51-b) + 1.25b = 53.25

Distribute

38.25-.75b +1.25b = 53.25

Combine like terms

38.25+.5b = 53.25

Subtract 38.25 from each side

38.25 +.5b -38.25 = 53.25 -38.25

.5b =15

Divide each side by .5

.5b/.5 = 15/.5

b = 30

Now find c

c =51-b

c = 51-30

c = 21

They sold 30 brownies and 21 cookies

30 brownies * 1.25 =37.50

21 cookies *.75 = 15.75

Brownies made the most money

3 0

2 years ago

A scientist is growing bacteria in a lab for study. One particular type of bacteria grows at a rate of y=2t^2+3t+500. A differen

Leya [2.2K]

ANSWER

Approximately after 15 minutes.

EXPLANATION

The growth rate of the first bacteria is

$y = 2 {t}^{2} + 3t + 500$

The growth rate of the first bacteria :

$y = 3 {t}^{2} + t + 300$

To find the time that, there will be an equal number of bacteria, we equate the two equation;

$3 {t}^{2} + t + 300 = 2 {t}^{2} + 3t + 500$

$3 {t}^{2} - 2 {t}^{2} + t - 3t + 300 - 500 =00$

${t}^{2} - 2t - 200= 0$

We solve for t to get,

$t = 15.177$

$t = - 13.177$

We discard the negative value.

This implies that,

$t \approx15$

8 0

3 years ago

Can some one help me factor 6x^2+4x-10

Fudgin [204]

2(3x + 5) (x - 1)

This is done through factoring 2 out of the equation first...

2(3x^2 + 2x -5)

And then cross multiplying it

3 0

3 years ago

A container is 70% filled with chemical solution. The container holds 1,650 liters of chemical solution. How many liters of che

Anton [14]

Answer:

495

Step-by-step explanation:

1,650 x 0.7 = 1,155

1,650 - 1,155 = 495

(0.7 is the percentage)

Hope this helps!

7 0

2 years ago

Read 2 more answers

Which expression is equivalent to 18x-54

Arisa [49]

Answer:

18(x - 3)

Step-by-step explanation:

18x - 54 ← factor out 18 from each term

= 18(x - 3)

5 0

2 years ago