A utility line runs underground through Ursula's rectangular backyard. Ursula is not allowed to dig within 4 feet of the utility line. The diagram below shows the dimensions of Ursula's backyard in feet. The dashed line represents the utility line.

Answer:

45 degrees

Step-by-step explanation:

Answer:

the answer of this question is

c

Respuesta: 28 billetes de 100 y 11 billetes de 200

Explicación paso a paso:

X=39-y

200(39-y)+100y=5000

7800-200x+100y=5000

-100y=2800

Y=2800/100

Y=28 billetes de 100

X=39-28

X=11 billetes de 200

Answer:

78

Step-by-step explanation:

angle ACD + angle DCB = 180   (Angles on straight line)

4x + 2 + 3x + 3 = 180

7x + 5 = 180

7x = 180-5

7x = 175

x = 175 / 7

x = 25

angle DCB = 3x +3 = 3*25 + 3 = 75 +3 = 78

Answer: 5

Step-by-step explanation: edge 2021

You can use the constant which if multiplied with the coefficient of x in first equation, ends up making it negative and of equal magnitude to the coefficient of x variable in second equation.

The first equation should be multiplied by the constant 5

This method is actually called method of elimination to solve a system of linear equations.

We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).

If we have equations:

[tex]a_1x + b_1y = c_1\\a_2 x + b_2y = c_2\\[/tex]

then, if we want to eliminate variable x, then we have to multiply equation 1 with [tex]-\dfrac{a_2}{a_1}[/tex] which will make coefficient of x in first equation as  [tex]a_1 \times -\dfrac{a_2}{a_1} = -a_1[/tex]

Then adding both equation will eliminate the variable x.

We could've skipped that -ve sign and at then end, instead of adding, we could've subtracted the equations.

The system of equation we've got is

[tex]\dfrac{2}{5}x + 6y = -10\\\\-2x -2y = 40[/tex]

Thus, we have the constant needed = [tex]-\dfrac{a_2}{a_1} = -\dfrac{-2}{2/5} = 5[/tex]

The resultant system of equation we will get is:

[tex]2x + 30y = -50\\\\-2x -2y = 40[/tex]

Thus,

The first equation should be multiplied by the constant 5

Learn more about system of linear equations here:

https://brainly.com/question/13722693

Answer:

14 inches

Step-by-step explanation:

Using this information, we can form an equation.

Since there are 3 sides in a triangle, and each side increased by 6, that means that the perimeter increased by 18 inches. Down below, I did 3x because there are 3 sides in a triangle.

(This is the equation you'd want to do to get the answer)

3x + 3 * 6 = 60

Simplify:

3x + 18 = 60

Same to both sides

3x = 42

Isolate x:

x = 14

Let me know if you have any questions

SLOPE is the picture.

Point-Slope form is y+1=-1/2*(x+2)

The y=mx+b form is y=-1/2x-2

i hope its not confusing lol

Answer:

40 lures

Step-by-step explanation

First, 10 for every 2  means multiplication. 2 goes into 8   4 times. 4x2=8

10 lures multiplied by 4 is 40.

I hope this helps! ツ

Answer:

just about 24 years

Step-by-step explanation:

Step-by-step explanation:

✰ [tex] \underline{ \underline{ \large{ \tt{G\: I \: V \: E \: N}}}} : [/tex]

✰ [tex] \underline{ \underline{ \large{ \tt{T \: O \: \: F\: I \: N \: D}}}} : [/tex]

✰ [tex] \underline{ \underline{ \large{ \tt{S \: O

\: L \: U \: T\: I\: O \: N}}}} : [/tex]

In right angled triangle ABE :

Now , Using trigonometric ratio :

[tex] \large{ \tt{Sin \theta \: = \: \frac{Perpendicular}{Hypotenuse} }}[/tex]

Plug the known values :

⟶ [tex] \large{ \tt{ Sin(20) = \frac{h}{8} }}[/tex]

⟶ [tex] \large{ \tt{0.34 = \frac{h}{8}}} [/tex]

⟶ [tex] \large{ \tt{h = 0.34 \times 8}}[/tex]

⟶ [tex] \large{ \tt{h = 2.72}}[/tex]

Now , We have :

Finding the area of a parallelogram whose base and height are 15 and 2.72 respectively :

❀ [tex] \underline{ \underline{ \text{Area \: of \: parallelogram = \tt{b *\: h}}}}[/tex]

⟶ [tex] \large{ \tt{A = 15 *2.72}}[/tex]

⟶ [tex] \large{ \tt{A = 40.8 \: {units}^{2} }}[/tex]

Hence , Our final answer :

[tex] \large{ \boxed{ \sf{Height \: ( \: h \: ) = 2.72 \: units}}}[/tex]

[tex] \large{ \boxed{ \sf{Area \: of \: parallelogram \: ( \:A \: ) = \: 40.8 \: {units}^{2} }}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# [tex] \underbrace{ \tt{Carry \: On \: Learning}}[/tex] !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

(7) n = ⁴/₃

(8) x = -5

(9) d = ³/₂

(10) v = -20

Step-by-step explanation:

(7) [tex]n-\frac{8}{9} = \frac{4}{9}[/tex]

[tex]n-\frac{8}{9} = \frac{4}{9} \\\\Collect \ similar \ terms \ together\\\\n = \frac{4}{9} + \frac{8}{9} \\\\n = \frac{4+8}{9} \\\\n = \frac{12}{9} \\\\n = \frac{4}{3}[/tex]

(8)

[tex]\frac{3}{2} + \ x = -\frac{7}{2}\\\\collect \ similar \ terms \ together\\\\x = -\frac{7}{2} -\frac{3}{2} \\\\x = \frac{-7-3}{2} \\\\x = \frac{-10}{2} \\\\x = -5[/tex]

(9)

[tex]\frac{6}{5} = \frac{d}{(\frac{5}{4} )} \\\\cross \ and \ multiply\\\\5d = 6(\frac{5}{4} )\\\\5d = \frac{30}{4} \\\\d = \frac{30}{4\times 5} \\\\d = \frac{30}{20} \\\\d = \frac{3}{2} \\\\d = 1\frac{1}{2}[/tex]

(10)

[tex]-\frac{1}{8} v = \frac{5}{2} \\\\\frac{-v}{8} = \frac{5}{2} \\\\cross \ and \ multiply\\\\-2v = 40\\\\-v = \frac{40}{2} \\\\-v = 20\\\\v = -20[/tex]

Answer:

Step-by-step explanation:

Answer:

10 children

Step-by-step explanation:

Answer:

The correct answer is A. $385.

Step-by-step explanation:

Since Corey, Billy, and Shea own a house repair and update business, and the number of hours that each person spent painting and doing repair work on the same house is listed below.

• Corey: 4.25 hours

• Billy: 7.75 hours

• Shea: 10.5 hours

And since they earned a total of $ 1,100 for the job and put 25% of the money earned in an account for future expenses, to determine how much money Shea received if they divided the money proportionally based on the number of hours each worked is owed perform the following calculation:

1100 x 0.75 = 825

10.5 + 7.75 + 4.25 = 22.5

22.5 = 100

10.5 = X

10.5 x 100 / 22.5 = X

1050 / 22.5 = X

46.666 = X

825 x 0.4666 = X

384.99 = X

Therefore, Shea received $385.

Probability that Margaret will get a higher number than Carlos is 3/2.

Probability is the measure of the likelihood of an event to occur.

P(E) = number of favorable outcomes/ total number of outcomes

Where, P(E) is the probability of an event.

According to the question we have,

A spinner goes from 1 to 6.

⇒ sample space = {1, 2, 3, 4, 5, 6}

⇒ Total number of outcomes = 6

Also, Carlos spins 3.

So, the numbers which required to win the game by Margaret are 4, 5 ,6 (greater than 3).

⇒ Total number of favorable outcomes = 3

Therefore,

The probability that Margaret will get a higher number than Carlos = [tex]\frac{3}{2}[/tex]

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ2

Answer:

(sqrt(7))/3 or decimal 0.8819171036881968635005385845464201419034197276941500601227781530...

Step-by-step explanation:

Simplify the following:

(sqrt(14))/(sqrt(18))

Hint: | Simplify radicals.

sqrt(18) = sqrt(2×3^2) = 3 sqrt(2):

(sqrt(14))/(3 sqrt(2))

Hint: | Multiply numerator and denominator of (sqrt(14))/(3 sqrt(2)) by sqrt(2).

Rationalize the denominator. (sqrt(14))/(3 sqrt(2)) = (sqrt(14))/(3 sqrt(2))×(sqrt(2))/(sqrt(2)) = (sqrt(14) sqrt(2))/(3×2):

(sqrt(14) sqrt(2))/(3×2)

Hint: | Multiply 3 and 2 together.

3×2 = 6:

(sqrt(14) sqrt(2))/6

Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(14) sqrt(2).

sqrt(14) sqrt(2) = sqrt(14×2):

(sqrt(14×2))/6

Hint: | Multiply 14 and 2 together.

14×2 = 28:

(sqrt(28))/6

Hint: | Simplify radicals.

sqrt(28) = sqrt(2^2×7) = 2 sqrt(7):

(2 sqrt(7))/6

Hint: | In (2 sqrt(7))/6, divide 6 in the denominator by 2 in the numerator.

2/6 = 2/(2×3) = 1/3:

Answer:  (sqrt(7))/3

Answer: 45 apples will be needed to fill 3 boxes

Step-by-step explanation: If there are an even amount of apples in each box, 15 times 2 is 30. So if there are 15 apples in each box, 15 times 3 is 45.

Answer:45 apples

Step-by-step explanation:

Since 15 apples are needed to fill 1 box, 45 apples are needed to fill 3 bboxes

Answer:

15

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

60÷25=2.4

Answer:

1/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-2)/(3-(-4))

m=1/(3+4)

m=1/7

Answer:

with simplify: 1 4/20.

without simplify: 24/20

Step-by-step explanation:

first we have to find the common denominator

can 4 go into 10? no.

can 4 go into 20? yes! it goes into 20, 5 times!

common denominator = 20

_/20 + _/20

what we do to the bottom we do to the top

7 x 2= 14

14/20 + _/20

2 x 5= 10

14/20 + 10/20 = 24/20

now simplify

1 4/20

hope this helped!

Answer:

84 degrees

Step-by-step explanation:

3x = 4x - 28. Reason: Alternate Exterior Angle are congruent

X=28 Reason: Algebra

Y+4x-28= 180 Reason: Straight angles = 180 degrees

Y=84. Reason: Algebra

Answer:

Step-by-step explanation:

The area of a circle is 3.14r^2

The area of the triangle is bh/2

The area of the rectangle is wh

A=3.14(5^2)/2+8(10)/2+5(20)

A=3.14(25)/2+40+100

A=179.25 cm^2

Answer:

Step-by-step explanation:

Area of rectangle = 5 × 20 = 100 cm²

Area of triangle = 0.5 × 10 × 8 = 40 cm²

Are of semicircle = 0.5 × area of circle = 0.5 × πr² = 0.5 × 25π = 12.5π cm²

Total area = 100+40+ 12.5π ≈ 179.25 cm²

Answer:

cierto

Step-by-step explanation:

Answer: x=1/3

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

3x−1<0

Step 2: Add 1 to both sides.

3x−1+1<0+1

3x<1

Step 3: Divide both sides by 3.

3x/3 <1/3

x/1/3

Answer:

Step-by-step explanation:

Answer:

10407

Step-by-step explanation:

Answer:

In this exercise, you need to get d:

12 = 18 - d

What we can do is substracting 18 in both sides:

12 - 18 = 18 - 18 - d

-6 =  -d

And then, we can say that d = 6..

Answer:

Slope is -1/3

Step-by-step explanation:

(-5,-7)(-2,-8)

-8+7/-2+5

-1/3

m=-1/3

Answer:

Slope=-1/3

Step-by-step explanation: