The perimeter of a playing field for a certain sport is 174 ft. The field is a rectangle, and the length is 45 ft longer than the width Find the dimensions.
The width of the playing field is 20 ft.
(Type an integer or a decimal.)​

Answer: The side of the playground is around 10 meters long

Step-by-step explanation:

use the diagonal as the hypotenuse of a right triangle, where the sides of the square form the legs of said triangle.

Usually

[tex]a^{2} +b^{2} =c^{2}[/tex]

since we know a and b are the same length (sides of a square are congruent) we would have

[tex]a^{2} +a^{2} =c^{2} \\2a^{2} =c^{2}[/tex]

We know that c is 14 so

[tex]2a^{2} =14^{2} \\2a^{2} =196\\a^{2} =98\\a=\sqrt{98} \\a= 9.999[/tex]

Answer:

The answer is 6

Step-by-step explanation:

Since you have to divvied 40 to 8 witch gives you 6

9514 1404 393

Answer:

  (a, B, C) ≈ (9.15, 29.2°, 102.8°)

Step-by-step explanation:

The given angle lies between the given sides, so the law of sines cannot be used. The third side is ...

  a² = b² +c² -2bc·cos(A) ≈ 83.6452

  a ≈ √83.6452 ≈ 9.146

__

Then angle B is found from the law of sines. We want to find the smaller angle, so we can tell if the triangle is acute or obtuse.

  sin(B)/b = sin(A)/a

  B = arcsin(b/a·sin(A)) ≈ arcsin(0.48753)

  B ≈ 29.2°

  C = 180° -48° -29.2° = 102.8°

The solution to the triangle is (a, B, C) = (9.1, 29.2°, 102.8°).

Answer: 2 is the y intercept

Step-by-step explanation:

Slope is rise over run and in this problem our y intercept is 2 because it is defined as the y. Negate your 9 and put it over the y intercept to make into a fraction to represent slope. This makes it y = mx + b form now.

y = - 9/2x + 2

Answer:

3 hours

Step-by-step explanation:

15÷5=3 so that's ot

Answer:

the answer is 11

Step-by-step explanation:

if you take 18 divided by 3 and then 2 times that plus 2 and minus 25 it is 11

Step-by-step explanation:

are you sure that math cauz that looks difficult or maybe its the fact that I'm in the 4th grade

Answer:

Step-by-step explanation:

45% = 45/100 = 0.45

100% is $40

Answer:

solution given;

let total be X

45% of X=$18

X=$18×100/45=$40

So.100% is $40.

Answer:

90 I believe  

Step-by-step explanation:

Answer: A or B

Step-by-step explanation: A or B

Answer:

c. 952.4 in²

Step-by-step explanation:

The figure can be decomposed into a square, a trapezoid and a semicircle

Find the area of each to determine the area of the figure.

✔️Area of square = s²

s = 13 in

Area of square = 13² = 169 in²

✔️Area of trapezoid = ½(a + b)h

a = 13 in

b = 30 in

h = 20 in

Area of trapezoid = ½(13 + 30)20

= 430 in²

✔️Area of semicircle = ½(πr²)

r = ½(30) = 15 in

Area = ½(π*15²)

Area ≈ 353.4 in²

✅Area of the figure = 169 + 430 + 353.4

= 952.4 in²

Answer:

11/16

Step-by-step explanation:

P(blue OR red) = 5/16 + 6/16  =  11/16

Answer:

Step-by-step explanation:

where is the picture?!

Answer:

28m squared

Step-by-step explanation:

7*4 is 28

Answer:

1. Hundredths

2. Thousandths

3. Tenths

Answer:

441 square feet

Step-by-step explanation:

From what i understand from the picture is there is a right angle triangle given with the hypotenes being 37, base being 12 and the perpendicular is 35.

we need to determine the value or Cos x

Easy way to remember which value to out where is

sinx=p/h -----> some people have

cosx=b/h ----> curly brown hair

tanx=p/b -----> through proper brushing

learned this is 8th grade in collage right now still comes in handy

we need cosx so we will use the second formula

[tex]cosx=\frac{b}{h} \\\cosx=\frac{12}{37} \\x= cosx^{-1} (\frac{12}{37})\\[/tex]

which can then be simplified using a calculator

x= 71.1 degree

for this question from what i understand is the answer is cos x = cos (12/37)

Answer:

0.0814 = 8.14% probability that at least one of the women has a Chlamydia infection

Step-by-step explanation:

For each women, there are only two possible outcomes. Either they have a Chlamydia infection, or they do not. The probability of a woman having the infection is independent of any other women. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The Centers for Disease Control and Prevention reports that the rate of Chlamydia infections among U.S. women ages 20 to 24 is 2791.5 per 100,000.

This means that:

[tex]p = \frac{2791.5}{100000} = 0.027915[/tex]

Take a random sample of three U.S. women in this age group.

This means that [tex]n = 3[/tex]

What is the probability that at least one of the women has a Chlamydia infection?

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.027915)^{0}.(1-0.027915)^{3} = 0.9186[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.9186 = 0.0814[/tex]

0.0814 = 8.14% probability that at least one of the women has a Chlamydia infection

Answer:

x=8

Step-by-step explanation:

-2(8) would be -16 so -18 is still greater

Answer:

B

Step-by-step explanation:

all the others will have a value of more than -18. Only B makes sense.

Hope this helps! Have a great day

Answer:

48-19=x

Step-by-step explanation:

if you subtract those you get 29

Answer:

20, 20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26

Step-by-step explanation:

median (middle number) is (23 + 24) / 2 = 47/2 = 23.5 <== median

Q1 = (21 + 22) / 2 = 43/2 = 21.5 <== lower quartile

Q3 = (25 + 25) / 2 = 50/2 = 25 <== upper quartile

Your welcome! (Please correct me if im wrong!)

Please mark brainiest

Answer:

In what figure?

I cannot determine the answer without proper information.

Answer:

x = 40

Step-by-step explanation:

(x × [tex]\frac{1}{5}[/tex] )+ 24 = [tex]\frac{8}{10}[/tex] × x

0.2x + 24 = 0.8x

0.2x - 0.2x + 24 = 0.8x - 0.2x

24 = 0.6x

0.6x = 24

0.6x × [tex]1\frac{2}{3}[/tex] = 24 × [tex]1\frac{2}{3}[/tex]

x = 40

Answer:

x=40

Step-by-step explanation:

1/5x+24=8/10x

give like denominators

2/10x+24=8/10x

subtract 2/10x on both sides

24=6/10x

divide 24 by 6/10, or multiply by 10/6

x=240/6

refine/simplify

x=40

Answer:

[tex]y=x+3[/tex]

Step-by-step explanation:

What we need to know

1) Rewrite the equation x - y = 5 into slope-intercept form and identify the slope

[tex]x - y = 5[/tex]

Subtract both sides by x

[tex]x - y -x= -x+5\\-y= -x+5[/tex]

Divide both sides by -1

[tex]y= x-5[/tex]

Now, we can tell clearly that the slope (m) of this line is 1. Therefore, a line parallel to this would also have a slope of 1.

Plugging 1 as m into [tex]y=mx+b[/tex], we get:

[tex]y=x+b[/tex]

2) Find the y-intercept (b) of the line parallel to [tex]y= x-5[/tex] and find the final equation

[tex]y=x+b[/tex]

Plug in the given point (-5,-2)

[tex]-2=-5+b[/tex]

Add 5 to both sides

[tex]-2+5=-5+b+5\\3=b[/tex]

Therefore, the y-intercept of this line is 3. Now, plugging this back into our original equation, we get:

[tex]y=x+b\\y=x+3[/tex]

I hope this helps!

Answer:

-7<k<-1

Step-by-step explanation:

k is greater than negative seven, and

-1 is greater than k

Answer:

The answer is 90

Step-by-step explanation:

A= L*W

so when you are given the are and the width you need to divide the area by the width to find the length

Answer:

The 96th term of the arithmetic sequence is -1234.

Step-by-step explanation:

first term (a)=1

second term (t2)=-12

common difference (d)= t2-a

d=-12-1

d=-13

96th term (t96)=?

We know that,

t96=a+(n-1)d

t96=1+(96-1)(-13)

t96=1+95(-13)

t96=1-1235

t96=-1234

Answer:

49.568

Step-by-step explanation:

Answer:

B- $1.15

Step-by-step explanation:

5.75 divided by 5 equals 1.15