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defon
3 years ago
14

John has a rectangular-shaped field whose length is 62.5 yards and width is 45.3 yards. The area of the field is ________ square

yards. The perimeter of the field is _______ yards.
Mathematics
1 answer:
oee [108]3 years ago
8 0
Area = 2831.25 square yards

Perimeter =215.6 yards

EXPLANATION

The area and perimeter of a rectangular field are found using the formula for finding the area and perimeter of a rectangle respectively.

That means, area of the rectangular field is given by the formula,

A= l\times w

We just have to substitute
l=62.5 and w= 45.3 into the given formula and evaluate.

This implies that;

A= 62.5\times 45.3

This gives the area of the rectangular-shaped field to be;

A= 2831.25 square yards.

Now for the perimeter, we use the formula

P=2w +2l

Or

P=2(w +l)

Substituting the values for the length and width gives,

P=2(62.5+45.3)

\Rightarrow P=2(107.8)

\Rightarrow P=215.6

Hence the perimeter of the rectangular shaped field is 215.6 yards.
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4. The formula v= 64h gives the velocity v in feet per second of an object that
user100 [1]

The velocity when the object falls from 84 feet is 73.32 ft/sec

Step-by-step explanation:

The formula is derived from the conversion of energy principle. As the object falls the potential energy changes into kinetic energy. The right formula is:

v=\sqrt{64h}

here,

v represents the velocity

and

h represents the height in feet.

We can plug in the value of height in the formula to get the value of velocity

So, Putting h=84

v=\sqrt{64*84}\\=\sqrt{5376}\\=73.3212\ ft/sec

Rounding off to nearest 100th

v=73.32 ft/sec

The velocity when the object falls from 84 feet is 73.32 ft/sec

Keywords: Velocity, Height

Learn more about velocity at:

  • brainly.com/question/10934170
  • brainly.com/question/10962624

#LearnwithBrainly

8 0
4 years ago
-x^2 +9x-12 in vertex form<br> please help !!!
lesya [120]

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this firm use the method of completing the square

Factor out - 1 from each term

y = - (x² - 9x + 12)\frac{33}{4}

To complete the square

add/subtract (half the coefficient of the x- term )² to x² - 9x

y = - (x² + 2( - \frac{9}{2})x + \frac{81}{4} - \frac{81}{4} + 12 )

  = - ( (x - \frac{9}{2})² - \frac{33}{4} )

y = - (x - \frac{9}{2} )² + \frac{33}{4} ← in vertex form

7 0
4 years ago
ASAP please!
Reil [10]

Answer:

D).

Step-by-step explanation:

ln (e · e^x) = x2 + 4x + 3

ln e^(x+1) = x^2 + 4x + 3

Taking all terms to the power e:

e^(x + 1 )=  e^ (x^2 + 4x + 3)

x + 1 =  x^2 + 4x + 3

x^2 + 3x + 2 = 0

(x + 2)(x + 1) = 0

x = -2, -1.

8 0
3 years ago
The square of a number is 12 less than 7 times the number. What is the number?
hjlf

<u><em>Answer:</em></u>

The number is either 3 or 4


<u><em>Explanation:</em></u>

Assume that the number we are looking for is x

The square of the number would be x²

7 times the number would be 7x


<u>We are given that:</u>

square of the number (x²) is 12 less than 7 times the number (7x)


<u>Translating this into an equation, we would have:</u>

x² = 7x - 12


<u>Rearranging the quadratic equation:</u>

x² - 7x + 12 = 0


<u>Now, we factor the equation:</u>

(x-4)(x-3) = 0


<u>This means that:</u>

either x-4 = 0 ..................> x = 4

or x-3 = 0 ........................> x = 3


<u>Let's check if any of the solutions is an extrovert:</u>

For x = 3 .............> (3)² = 7(3) - 12 .........> 9 = 21 - 12 .......> 9 = 9 .......> not extrovert

For x = 4 .............> (4)² = 7(4) - 12 .........> 16 = 28 - 12 .....> 16 = 16 ....> not extrovert


Since we have no restrictions on the number, therefore, both solutions would be accepted


Hope this helps :)


7 0
4 years ago
The length of a rectangular plot of land is 1 17/25
DedPeter [7]

Answer:

B. 7 yards

Step-by-step explanation:

4 (1)/(6)*1 (17)/(25)= 7

4 0
3 years ago
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