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Oduvanchick [21]

3 years ago

11

Find the surface area of the prism or pyramid. Round to the nearest hundredth if necessary.

1 answer:

son4ous [18]3 years ago

4 0

Answer: 345.4

Step-by-step explanation:

SA=2πr^2+2πrh

SA=2(3.14)(5)^2+2(3.14)(5)(6)

SA=2(3.14)(25)+2(3.14)(30)

SA=2(78.5)+2(94.2)

SA=157+188.4

SA=345.4

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Marie, Shelia, and Martha bought snacks for a girl's sleepover. They each bought the items shown in the following table at the l

creativ13 [48]

Using a system of equations, it is found that the unit prices are:

$2.25 for a bag of chips.

$1.50 for a liter of pop.

$1.75 for a chocolate bar.

For the system:

x is the unit price of a bag of chips.

y is the unit price of liter of pop.

z is the unit price for a chocolate bar.

From the table, the equations are:

$2x + 2y + z = 9.25$

$3x + 4y + z = 14.50$

$x + 3y + 3z = 12$

Replacing the <u>first equation on the second and the third:</u>

$z = 9.25 - 2x - 2y$

$3x + 4y + z = 14.50$

$3x + 4y + 9.25 - 2x - 2y = 14.50$

$x + 2y = 5.25$

$x = 5.25 - 2y$

$x + 3y + 3z = 12$

$x + 3y + 3(9.25 - 2x - 2y) = 12$

$-5x - 3y = -15.75$

$5x + 3y = 15.75$

Since $x = 5.25 - 2y$ :

$5(5.25 - 2y) + 3y = 15.75$

$-7y = -10.5$

$y = \frac{10.5}{7}$

$y = 1.5$

Then:

$x = 5.25 - 2y = 5.25 - 2(1.5) = 2.25$

$z = 9.25 - 2x - 2y = 9.25 - 2(2.25) - 2(1.5) = 1.75$

The unit prices are:

$2.25 for a bag of chips.

$1.50 for a liter of pop.

$1.75 for a chocolate bar.

A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076

4 0

3 years ago

I need to calculate the speed of light can someone give me an equation for doing so?

Umnica [9.8K]

Answer:

sorry dont know

Step-by-step explanation:

7 0

3 years ago

A ship travels 200 miles due west, then adjusts its course 30° north of west. The ship continues on this course for 30 miles. Ap

Marta_Voda [28]

Answer:

$174.66\ mi$ or $175\ mi$

Step-by-step explanation:

we know that

Applying the law of cosines

$c^{2}=a^{2}+b^{2}-2(a)(b)cos(C)$

In this problem we have

$a=200\ mi$

$b=30\ mi$

$C=30\°$

substitute the values

$c^{2}=200^{2}+30^{2}-2(200)(30)cos(30\°)$

$c^{2}=30,507.695$

$c=174.66\ mi$

6 0

3 years ago

Read 2 more answers

Joel can either work 2 days for 11 hours each day or 4 days for 6 hours each day. He takes the bus for $2.25 each way. On days h

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3 years ago

Lara read for 40 minutes. She read 4 times longer than Ryan. Which equation could be used to calculate the number of minutes tha

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The answer is A. because if she read 4 times as much, p multiplied by 4= 40

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3 years ago