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kolezko [41]
4 years ago
14

What is the length of the missing side? What is the area of the figure?Show ALL work.​

Mathematics
1 answer:
guajiro [1.7K]4 years ago
8 0

Answer:

Missing side=25 units.

Area of the figure= 470 sq units.

Step-by-step explanation:

The figure is made up of a rectangle and a triangle.

To get the base of the triangle, we find the difference between the two parallel sides, that is, 16ft and 31 ft.

31ft-16ft=15ft  

The height of the triangle is 20 since it is parallel and equal to the length of the rectangle.

We therefore use pythagoras theorem to find ?

a²+b²=c²

15²+20²=c²

625=c²

c=25

ii. The figure is a trapezium therefore we use the following formula to find the area.

A= 1/2(a+b)h, where a and b are the two parallel sides. and h the distance between them.

=(1/2)(31+16)×20

=470 sq units

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It takes 14 electricians 18 days to wire a new housing subdivision. How many days would it take 24 electricians to do the same j
PSYCHO15rus [73]

Answer = 21/2 days or 10 and 1/2 days

It takes 14 electricians 18 days to wire a new housing subdivision.  

One  electrician take more time to wire a new housing subdivision.

So one electrician take 14 x 18 days to complete the job.

Therefore 24 electricians take  less time to complete the job.

Number of days taken by 24 electricians to wire a new housing subdivision.= (14 x 18 )/24=21/2 days


Therefor 24 electricians take (14 x 18 )/24=21/2 days



3 0
3 years ago
Read 2 more answers
What is the simplest form of the expression?
Rina8888 [55]
^ 3 sqrt 750 + ^ 3 sqrt 2058 - ^ 3 sqrt 48
 Rewriting the expression we have
 ^ 3 sqrt (6 * x ^ 3) + ^ 3 sqrt (6 * y ^ 3) - ^ 3 sqrt (6 * z ^ 3)
 That is, we have the following equations:
 6 * x ^ 3 = 750
 6 * y ^ 3 = 2058
 6 * z ^ 3 = 48
 Clearing x, y and z we have:
 x = 5
 y = 7
 z = 2
 Then, rewriting the expression
 x (^ 3 sqrt (6)) + y (^ 3 sqrt (6)) - z (^ 3 sqrt (6))
 Substituting the values
 5 (^ 3 sqrt (6)) + 7 (^ 3 sqrt (6 *)) - 2 (^ 3 sqrt (6))
 10 (^ 3 sqrt (6))
 answer
 the simple form of the expression is
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3 0
4 years ago
How to know if true or false?? HELP ASAP thank you! <br><br> picture added.
Tom [10]
True
Because a negative square root is an i
7 0
3 years ago
Fred bought 4 liters of liquid laundry detergent, 3,260 milliliters of fabric softener, and 2.5 liters of bleach. Select true or
diamong [38]

Answer:

Step-by-step explanation:

Fred bought 4 liters of liquid laundry detergent, 3,260 milliliters of fabric softener, and 2.5 liters of bleach.

We carry out conversion

Select true or false for each statement. Fred bought 76 milliliters more fabric softener than bleach. False Fred bought 1.75 liters more laundry detergent than bleach. False Fred bought 760 milliliters more fabric softener than bleach. False Fred bought 150 milliliters more laundry detergent than bleach. ? Fred bought 0.76 liters more fabric softener than bleach.

8 0
3 years ago
Lance bought 12 quarts of lemonade so that everyone who came to his party could have exactly 1/3 quart. How many people did Lanc
igor_vitrenko [27]

Lance invited 36 people to his party.

<u>Step-by-step explanation:</u>

It is given that,

  • Lance bought 12 quarts of lemonade.
  • Everyone who came to his party could have exactly 1/3 quart.

We know that,

The total quarts of lemonade available for the party = 12

Each person in the party consumes = 1/3 quart.

We need to find out how many people did Lance invited to his party.

<u>To find the number of people :</u>

Let us consider 'x' be the number of people invited to the party.

Total lemonade = number of people × lemonade for each person.

⇒ 12 = x × 1/3

⇒ 12×3 = x

⇒ x = 36 people

Therefore, Lance invited 36 people to his party.

6 0
3 years ago
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