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3 years ago

The diagonals of a parallelogram are 24 meters and 40 meters and

Mathematics

1 answer:

Naddika [18.5K]3 years ago

8 0

Answer:

28 m

Step-by-step explanation:

The longer side can be found using the Law of Cosines. The semi-diagonals are of length 12 and 20 m, and the angle between them facing the long side is 180° -60° = 120°.

c^2 = a^2 +b^2 -2ab·cos(C)

c^2 = 12^2 +20^2 -2·12·20·cos(120°) = 144 +400 +240 = 784

c = √784 = 28

The longer side is 28 meters.

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HELP QUICK!!!!!!!!!!

Mama L [17]

Answer:

Option is right

Step-by-step explanation:

Given that bella want to know what the students at her school think of her show. which is the BEST group to survey to find this information

For getting accurate results she must select a random sample without bias

For this option a will not serve since she selects only students she recognizes.

Option B may not be right, as during show on the face they may not give correct opinion

C is right as a random sample is taken

D is wrong as the first 30 students may not be at random.

So option C is right

8 0

3 years ago

Read 2 more answers

Which tables could be used to verify that the functions they represent are inverses of each other? Select two

devlian [24]

<h3>Answers: C and D</h3>

Why? Because they are mirrors of each other. In other words, one table has its x and y row swapped compared to the other table.

The input x = -120 leads to the output y = 627 in table C. Then in table D, we have the input x = 627 to go the output y = -120. Refer to the first column of each table mentioned. The same applies for the other columns as well. The inverse table undoes everything the original table does.

4 0

2 years ago

John has decided to prepare an old field for his son's new horse. the length of the field is 10 meters less than 4 times its wid

tatuchka [14]

Answer: The total money invested in the field will be $1,623.80

Step-by-step explanation:

step 1

Find the dimensions of the field

Let

x -----> the length of the field

y -----> the width of the field

p=2(x+y)

p(4.80)=1,584

p=330m

we know that

The perimeter of the field is equal to

330=2(x+y)----> equation A

x=4y-10 ------> equation B

substitute equation B in equation A and solve for y

330=2(4y-10+y)

165=(5y-10)

5y=165+10

y+35

Find the value of x

x=4(35)-10+130

therefore

The length of the field is 130 meters and the width of the field is 35 meters

step 2

Find the area of the field

The area of the field is

A=xy

substitute

A=(130)(35)=4,550m2

step 3

Find the number of bags of seed

Divide the area by 460

4,550/460=9.89 bags

Round up to the nearest whole number

9.89 bags=10 bags

step 4

Find the cost of the seed

(10 )(3.98)=$19.8

step 5

Find the total money invested in the field

1,584+$39.8=$1,623.80

7 0

2 years ago

Read 2 more answers

The radius of a circle is 3 yards. What is the circle's circumference?

Elden [556K]

Answer:

18.85

Step-by-step explanation:

2(3.14)(3)

8 0

2 years ago

The perimeter of a frame is 24 inches.The width is 5 inches. What is the length

Kisachek [45]

Assuming the frame is rectangular, the perimeter is 2*width + 2*length. so 5*2 + 2*length = 24. subtract ten from both sides to get the 14 = 2*length. the length = 7.

4 0

2 years ago