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3 years ago

A rectangle has a perimeter of 66 meters and a height of 14.2 meters. What is the length of the base?

Mathematics

1 answer:

Artemon [7]3 years ago

6 0

Hey there! I'm happy to help!

The perimeter is the distance around the rectangle. You have used the word height, but I will replace it with the word width because the word height is usually used with 3D shapes.

If W is the width and the length is L, the formula for the perimeter is 2W+2L=P.

We can plug in the numbers we already have to solve for L, the length of our base.

2(14.2)+2L=66

28.4+2L=66

We subtract 28.4 from both sides.

2L=37.6

We divide both sides by 2.

L=18.8

The length of the base is 18.8 meters.

Have a wonderful day!

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A national survey indicated that 30% of adults conduct their banking online. It also found that 40% are under the age of 50. and

Svet_ta [14]

Answer:

Step-by-step explanation:

Hello!

I'll express all the given percentages as probabilities:

Given the events:

Banking online (Bo)

Under the age of 50 (<50)

P(Bo)= 0.30

P(<50)= 0.40

P(Bo ∩ <50)= 0.25

1) What percentage of adults do not conduct their banking online?

The event "adults that do not conduct their baking online" is the complement of the event "adults that conduct their baking online" Symbolically $Bo^c$

P( $Bo^c$ )= 1 - P(Bo)= 1 - 0.30 = 0.70

2) What type of probability is 25%?

The probability P(Bo ∩ <50)= 0.25 is a joint probability, it indicates the intersection between both events.

3) Construct a contingency table showing all joint and marginal probabilities.

Check attachment.

4) What is the probability that an individual conducts banking online given that the individual is under the age of 50?

Symbolically:

P(Bo/<50)= P(Bo ∩ <50) = 0.25 = 0.625

P(<50) 0.40

I hope it helps!

4 0

3 years ago

What is the area of a circle with a radius of 5 inches?

Igoryamba

Answer:

78.54in²

Step-by-step explanation:

i used the formula

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3 years ago

Please solve -(6x+7)+8=19

JulijaS [17]

-6x-7+8=19 and then add your like terms so it’s -6x+1=19 and then subtract one on both sides so it’s -6x=18 so x=-3

3 0

3 years ago

A farmer builds a fence to enclose a rectangular pasture.He uses 155 feet of fence. Find the total area of the pasture if it is

ICE Princess25 [194]

The area for the perimeter of a rectangle is:
P = 2l + 2w
In this problem, we are given that P = 155 and l = 45.5. To solve for area, we must find w. To do this, plug in the given info and isolate the w like so:
$155=2(45.5)+2w \\ 155=91+2w \\ (155)-91=(91+2w)-91 \\ 64=2w \\ \frac{64}{2} = \frac{2w}{2} \\ w=32$
Now we know w = 32. Knowing all the necessary info, we can use the area formula, A=lw, to solve for A.
$A=(45.5)(35) \\ A=1,456$

The area is 1,456 sq ft.

Hope this helps!

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4 years ago

Help plz:)))I’ll mark u Brainliest

DerKrebs [107]

Answer:

The answer to the question provided is letter D.

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3 years ago