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3 years ago

What's the answer to 1/2(x+4)^2-5+=3.

Mathematics

1 answer:

nadya68 [22]3 years ago

6 0

Answer:

x = 0

Step-by-step explanation:

To solve this equation you would need to get x by itself on one side

1/2 (x+4)^2 - 5 = 3

1.) add 5 to both sides

1/2 (x+4)^2 = 8

2.) divide each side by 1/2

(x+4)^2 = 16

3.) find the square root of both sides

(x+4) = 4

4.) subtract 4 from both sides

x = 0

The app "Photomath" is a great way to solve problems like these and it gives a step by step explanation that might be easier to understand than mine :)

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Step-by-step explanation:

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3 years ago

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1 year ago

? A mug can hold 13.46 oz of coffee without overflowing. The radius of the mug is 3 cm. Given that 1 cm3 equals 0.034 oz, what i

Elan Coil [88]

Answer:

14 cm

Step-by-step explanation:

Given:

A mug can hold 13.46 oz of coffee.

The radius of the mug is 3 cm.

Given that 1 $cm^{3}$ equals 0.034 oz.

Question asked:

What is the height of the mug to the nearest centimeter ?

Solution:

Given that 1 $cm^{3}$ equals 0.034 oz.

By unitary method:

0.034 oz = 1 $cm^{3}$

1 oz = $\frac{1}{0.034}$

13.46 oz = $\frac{1}{0.034}\times13.46 =395.88 \ cm^{3}$

A mug can hold 13.46 oz of coffee means volume of cylinder is given which is 395.88 $cm^{3}$ . Now we can find the height of the mug by using volume of cylinder formula:

volume of cylinder = $\pi r^{2} h$

$395.88=\frac{22}{7} \times3\times3\times \ h\\395.88=\frac{198 \ h}{7}$

By cross multiplication:

$395.88\times 7 =198\ h\\2771.16= 198\ h$

By dividing both side by 198

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Charlie is trying to cover the shape shown with paper. He will NOT be covering the top and the bottom. How much paper will he ne

DENIUS [597]

You need to determine how much paper you need to cover the lateral side of the cylinder shown in the picture. For this, you have to calculate the surface area of the cylinder, which you can do using the following formula:

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r is the radius

h is the height of the cylinder

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