Ask question

Ask question

All categories

2 years ago

5

The perimeter of a rectangular playing field is 280 feet. The length of the field is 20 feet more than the width. What are the d

imensions of the playing field? (You need to find the length and the width.)

2 answers:

Nataly_w [17]2 years ago

6 0

Answer:

L =80

w=60

Step-by-step explanation:

P =280

L =w +20

=>L +w=280 :2 =140

w+20+w=140

2w=140 - 20

2w =120

w=120 :2 =60

L=60 +20 =80

P =2L +2w

P =2 ×80 +2 ×60

P=160 +120

P=280

Natali5045456 [20]2 years ago

5 0

Answer:

L = 80 , w=60

Step-by-step explanation:

l= w+20

perimeter: l+w+l+w=280

Plug in the value of L in place of L

(w+20)+w+(w+20)+w=280

Combine Like terms

and then separate the variables and knowns by subracting 40 from both sides

4w+40=280

-40 -40

Divide by 4 from both sides so (W) would be alone

4w=240

÷4 ÷4

You solved half the question now

w = 60

Remember the L at the top

we now know the value of W

so

L=(60)+20

L=80

<u>just to be sure </u>

80+80+60+60=280

you are welcome

You might be interested in

Use the box method to distribute and simplify (5x+2)(3x+3)

shusha [124]

15x^2+21x+6 that’s the answer

3 0

2 years ago

Read 2 more answers

A right rectangular prism is 5 1/4 in. wide, 12 1 2 in. long, and 4 in. tall.

lozanna [386]

Answer: $V = 262\frac{1}{2}$ $cm^{3}$

Step-by-step explanation:

$V = LWH$

$V = 5\frac{1}{4}$ X $12\frac{1}{2}$ X 4

$V = \frac{21}{4}$ X $\frac{25}{2}$ X $\frac{4}{1}$

$V = \frac{525}{2}$

$V = 262\frac{1}{2}$ $cm^{3}$

7 0

3 years ago

Find the measure of the indicated angle to the nearest degree.

Paladinen [302]

Using Pythagorean triplete

$\\ \sf\longmapsto h^2=33^2+8^2$

$\\ \sf\longmapsto h^2=1089+64$

$\\ \sf\longmapsto h^2=1153$

$\\ \sf\longmapsto h=\sqrt{1153}$

$\\ \sf\longmapsto h=33.9$

$\\ \sf\longmapsto h\approx34$

Now

$\boxed{\sf sin\theta=\dfrac{h}{P}}$

$\\ \sf\longmapsto sin\theta=\dfrac{34}{8}$

$\\ \sf\longmapsto sin\theta=4.2$

$\\ \sf\longmapsto 2sin\theta=sin60$

$\\ \sf\longmapsto \theta=30°$

3 0

2 years ago

The two spinners below are spun. Find the probability of spinning a 4 and a C.

r-ruslan [8.4K]

Step-by-step explanation:

S = { 1, 2, 3, 4, 5, 6 7, 8 }

n ( S ) = 8

Let A be the event of getting 4,

A = { 4 }

n ( A ) = 1

P ( A )

= n ( A ) / n ( S )

= 1 / 8

Therefore, the probability of spinning a 4 is 1 / 8.

S = { A, B, A, C, A, B }

n ( S ) = 6

Let Y be the event of getting C,

Y = { C }

n ( Y ) = 1

P ( Y )

= n ( Y ) / n ( S )

= 1 / 6

Therefore, the probability of spinning a C is 1 / 6.

3 0

3 years ago

Special right triangles 45-45-90 & 30-60-90 formula!!<br> finding missing side lengths

nordsb [41]

The formula you need to know is that the side opposite of the 30° angle is always half the hypotheneus. For example in question 2 X should be 6 since 3 is opposite side of the angle 30°. In a 45 45 90 triangle, it is important to know that the straight sides are always the same length (since they are the same angle). For example in question 9, v is also 9√2.

When you have two sides, you can figure out the third side with a² + b² = c² since they are all right triangles. Good luck

4 0

2 years ago