Please solve the equation for this missing angle. Please Help ASAP!!!

Answer:

2 feet

Step-by-step explanation:

By solving a quadratic equation, we will see that the width of the walkway must be 2 ft.

Remember that the area of a rectangle of length L and width W is:

A = L*W

In this case, we know that the dimensions are:

Now, if we add a walkway of width x all around the garden, the new dimensions of the garden are:

Now with these dimensions, the area is 192 ft^2, then we can write:

192 ft^2  = (8ft + 2x)*(12ft + 2x)

Now we need to solve that for x:

192 ft^2 = 96ft^2 + 4x^2 + 40ft*x

0 = 96ft^2 - 192ft^2 + 4x^2 + 40ft*x

0 = 4x^2 + 40ft*x - 96ft^2

This is a quadratic equation, the solutions are given by Bhaskara's formula:

[tex]x = \frac{-(40ft) \pm \sqrt{(40ft)^2 - 4*4*(-96ft^2)} }{2*4} \\\\x = \frac{-(40ft) \pm 56ft }{8}[/tex]

Notice that we have two solutions, but we only care for the positive one, so we take:

x = (-40ft + 56ft)/8 = 2ft

So the width of the walkway must be 2ft.

If you want to learn more about quadratic equations, you can read:

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Answer:

See below for answers and explanations

Step-by-step explanation:

A) The midline would be the average of the high and low temperatures, therefore d=(44+26)/2=70/2=35. The amplitude would be the distance from the high and low temperatures to the midline. Since 44-35=9 and 35-26=9, then the amplitude is a=9.

B) The equation would be [tex]T=9sin(\frac{\pi}{12}x)+35[/tex]

Answer:

c. 5cm

Step-by-step explanation:

25=½(3+7)*h

25*2=10*h

50/10=h

5cm =h

Answer:

150

Step-by-step explanation:

1500 divided by 10

There are 150 nerve per whisker does a rat have.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A seal has 1,500 nerve per whisker.

That is 10 times as many as a rat has.

So, the number of nerve per whisker does a rat have

= 1500/ 10

= 150 nerve

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Answer:

1,000

Step-by-step explanation:

10x10x10 = 1,000

this lock has 1,000 possible combinations

Answer:

55

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

your trying to make it equal, in order to do that you must do to the top what you did the bottom

11 = ?

20=100

to get from 20 to 100 you multiply by 5 so we multiply the top by 5 to make it equal

11/20x5/5=55/100

Answer:

B

Step-by-step explanation:

Its 210,750 i took the quiz. You have to plug in 750 to all the x's.

Answer:

??? 208 ???

Step-by-step explanation:

Answer:

Answer:

208

Step-by-step explanation:

The general formula for the total surface area of a regular pyramid isbT. S. A. =12pl+B where p represents the perimeter of the base.

Answer:

905in²

Step-by-step explanation:

Answer:

Area- 201.14

circumference- 50.3

I used 22/7 for pi = area

circumference- pi-3.14

Step-by-step

Answer:

6 different ways

Step-by-step explanation:

pie, pumpkin

pie, hat

apple, pumpkin

apple, hat

cider, pumpkin

cider, hat

Answer:

The median is 58

Step-by-step explanation:

Answer:

The answer is 58

Answer:

A

Step-by-step explanation:

Slope-intercept form: y=mx+b

2x+3y = 12

3y = 12-2x

y = (12-2x)/3

y = 4-2/3x

Here we can see that the slope is -2/3 and y-intercept 4. We already got the answer so we dont need to try the other options.

Answer:

80 per week

Step-by-step explanation:

1000-520= 480

480/6=80

Given:

Last month sales = $900

Rate of commission = 20%

To find:

How much commission (in dollars) did she earn last month?

Solution:

We have, 20% rate of commission. So, the commission for the last month is equal to 20% of last month sales $900.

[tex]\text{Commission}=\dfrac{20}{100}\times 900[/tex]

[tex]\text{Commission}=20\times 9[/tex]

[tex]\text{Commission}=180[/tex]

Therefore, the commission for the last month is $180.

Answer:

$60

Step-by-step explanation:

Answer:

Down below

Step-by-step explanation:

The graph is attached to the answer.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Given is a function,

g(x) = -3, -8≤x-2

          1, -2≤x≤4

          5, 4≤x≤10

The function g(x) is a discrete function. It is continuous between -8 to -2, -2 to 4, and 4 to 10.

And the open circle at -8, -2, 4, and 10.

More about the function; click,

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Answer:

She has  18 combinations to choose from

Step-by-step explanation:

The tree diagram is as follows

yellow (y) ⇒⇒⇒⇒⇒ a pair of jeans (j)

 ║                           ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                           ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║          

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒   pair of shorts (s)    

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║

 ║  

white (w) ⇒⇒⇒⇒⇒ a pair of jeans (j)

 ║                           ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                           ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║          

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒   pair of shorts (s)    

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║

 ║  

green (g)⇒⇒⇒⇒⇒ a pair of jeans (j)

 ║                           ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                           ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║          

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒   pair of shorts (s)    

                                      ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

Sara has 3 shirts 3 (pants+ shorts) and 2 shoes to choose from

She has 3*3*2= 18 combinations to choose from

Answer:

8x²+16x+8=0

x²+2x+1=0

D=4-4=0

x0=-2/2=-1

Answer:

Step-by-step explanation:

[tex]8x^2+16x+8=0[/tex]                  {divide both sides by 8}

[tex]x^2+2x+1=0\\\\a=1\,,\quad b=2\,,\quad c=1\\\\x=\dfrac{-2\pm\sqrt{2^2-4\cdot1\cdot1}}{2\cdot1}=\dfrac{-2\pm\sqrt{4-4}}2=\dfrac{-2\pm0}2=-1[/tex]

Answer:

5

Step-by-step explanation:

it is 5

Answer:

u have Isolate the variable by dividing each side by factors that don't contain the variable. and the correct answer is x=2.7442371

Step-by-step explanation:

Brainliest plz

Answer:

50

Step-by-step explanation:

replace the variable, 4(-3.75)+12-8(-3.75)+23=50

Answer:

students

Step-by-step explanation:

you're missing a part?

Answer:

Answer D 88%

Step-by-step explanation:

To figure this question out we first need to find 1% of 25, which is .25 and then we need to find what percentage 3 is of 25, and so 12 x .25 = 3 which means 3 is 12% of 25, now just subtract it from 100% and we get 88%

(っ◔◡◔)っ ♥ Hope It Helps ♥

Answer:

Yellow

Step-by-step explanation:

Answer:

Circumference is pi times diameter so that would equal 15 pi. The formula to find the area of a circle is A=pi * r^2 So you divide 15 by 2 to find the radius. r=7.5 Then you square it and multiply it by pi and get 56.25pi which is about equal to 176.715

Answer:

15, 18, 21

Step-by-step explanation: