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3 years ago

Multiple choice question please answer it for me

Mathematics

1 answer:

timofeeve [1]3 years ago

6 0

The answer is the second choice, or B; 240 ft^2.

You have to find the area of all four triangles and just add those all together.

Two of the triangles have an area of
5*16=80
Multiply that by two
80*2=160

The other two smaller triangles have an area of
8*5=40
Multiply that by 2 also
40*2=80

Add 160+80 and the answer is 240.

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Shortern this expression pls

pogonyaev

Answer:

$c =\frac{8}{3}$

Step-by-step explanation:

Given

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}$

Required

Shorten

We have:

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}$

Rationalize

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7} * \frac{4 + \sqrt 7}{4 + \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}*\frac{4 - \sqrt 7}{4 - \sqrt 7}}$

Expand

$c = \sqrt{\frac{(4 + \sqrt 7)^2}{4^2 - (\sqrt 7)^2}} + \sqrt{\frac{(4 - \sqrt 7)^2}{4^2 - (\sqrt 7)^2}$

$c = \sqrt{\frac{(4 + \sqrt 7)^2}{16 - 7}} + \sqrt{\frac{(4 - \sqrt 7)^2}{16 - 7}$

$c = \sqrt{\frac{(4 + \sqrt 7)^2}{9}} + \sqrt{\frac{(4 - \sqrt 7)^2}{9}$

Take positive square roots

$c =\frac{4 + \sqrt 7}{3} + \frac{4 - \sqrt 7}{3}$

Take LCM

$c =\frac{4 + \sqrt 7 + 4 - \sqrt 7}{3}$

Collect like terms

$c =\frac{4 + 4+ \sqrt 7 - \sqrt 7}{3}$

$c =\frac{8}{3}$

4 0

3 years ago

Is 5.564 bigger than 5.654

Charra [1.4K]

Answer:

Step-by-step explanation:

5.564 - 5.654= -0.09

----------------------

8 0

2 years ago

Read 2 more answers

a pet store donated 50 lbs of food for adult dogs puppies and cats to an animal shelter. 19 3/4 pounds was adult dog food and 18

Elena-2011 [213]

Where x is the amount of cat food
50 - (19 3/4 + 18 7/8) = x
x = 50 - (19 6/8 + 18 7/8)
x = 50 - 38 5/8
x = 11 3/8

so, 11 and 3/8 pounds of cat food were donated to the shelter

8 0

3 years ago

From 2004 to 2014, the amount of money invested in renewable energy worldwide increased from $39.5 billion to $214.4 billion.

Sergio [31]

Take 214.4 and divide by 39.5. You end up with 5.47278487. Since we are talking percent, multiply that answer by 100 and round to the nearest tenth which gives us 542.70 or 542.8%. Pretty sure that is your answer

5 0

3 years ago

Read 2 more answers

Normal or natural variations in the quality of production output that are due purely to chance are _____.

nydimaria [60]

Normal or natural variations in the quality of production output that are due purely to chance are common causes.

According to the statement

we have to tell about the that cause which effect the quality and production output in the normal and natural variation.

So, For this purpose, we know that the

Common cause variation is present when the control chart of a process measure shows a random pattern of variation with all points within the control limits. When a control chart shows common cause variation, a process measure is said to be in statistical control or stable.

And due to this cause there is a lot of effect on the natural variations in the quality of production output.

So, Normal or natural variations in the quality of production output that are due purely to chance are common causes.

Learn more about common cause variation here

brainly.com/question/28040185

#SPJ4

6 0

1 year ago