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2 years ago

A football field is 40 yards wide and 120 yards long. Find the distance between opposite corners of the football field.

Mathematics

1 answer:

horsena [70]2 years ago

7 0

Answer:

The distance between the opposite corners is 126.49 yards.

Step-by-step explanation:

40 to the power of 2 + 120 to the power of 2 = C to the power of 2

1600 + 14400 = C to the power of 2

16000 = C to the power of 2

C = 126.49 yards

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Use the Law of Cosines to find the values of x and y. (PLEASE HELPPP!!!!)

vredina [299]

Answer:

$x = 49.8^\circ\\y = 54.6^\circ$

Step-by-step explanation:

Kindly refer to the image attached in the answer region for labeling of triangle.

AB = 16

BC = 19

AC = 15

$\angle ABC = x^\circ\\\angle ACB = y^\circ$

We have to find the angles x and y i.e. $\angle B \text{ and }\angle C$ .

Formula for cosine rule:

$cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}$

Where

a is the side opposite to $\angle A$ ,

b is the side opposite to $\angle B$ and

c is the side opposite to $\angle C$ .

$\Rightarrow cos x = \dfrac{19^{2}+16^{2}-15^{2}}{2 \times 19 \times 16}\\\Rightarrow cos x = \dfrac{392}{608} \\\Rightarrow x = 49.8^\circ$

Similarly, for finding the value of y:

$cos C = \dfrac{a^{2}+b^{2}-c^{2}}{2ab}\\\Rightarrow cos y = \dfrac{19^{2}+15^{2}-16^{2}}{2 \times 19 \times 15}\\\Rightarrow cos y = \dfrac{330}{570}\\\Rightarrow y = 54.6^\circ$

Hence, the values are:

$x = 49.8^\circ\\y = 54.6^\circ$

7 0

3 years ago

Find the surface area of the prism. 7 mm 4 mm 5 mm

dolphi86 [110]

Answer:

Since there are 2 sides, a front & back, and a top & bottom, you must find the surface area of each of those 3 surfaces and multiply by 2.

Step-by-step explanation:

The formula would be:

Top & Bottom - 5 × 4 (multiply by 2 for top AND bottom)

Front & Back - 5 × 7 (multiply by 2 for front AND back)

Sides - 4 × 7 (multiply by 2 for BOTH sides)

___________________________________________________

Once you find the 3 surface areas, add the areas all together for the total. (I did not show the answer because that is for you to do on your own.)

Ex. Top & Bottom + Front & Back + Sides

7 0

2 years ago

If 2cm rep 24 what length will be rep by 3cm

sergejj [24]

Answer:

Step-by-step explanation:

So 1cm rep = 24 ÷ 2 = 12

So 3cm rep = 12 x 3 = 36

3 0

2 years ago

Read 2 more answers

A vendor has 16 balloons for sale 18 are yellow 3 are red and 5 are green.A balloon is selected at random and sold .if the ballo

Elena L [17]

Well since there are more Yellow balloons there is a less chance of it getting picked twice because there other colors.

So it will probably be 7 over 15

6 0

3 years ago

it took 8 hours for karl and lou to finish a project for science class together. if karl had worked alone on the project it woul

kkurt [141]

It would take 10 hours just like it did for Karl .

4 0

3 years ago