please help me with this problem​

Answer:

Step-by-step explanation:

Use Pythagorean's theorem. The two shorter sides (6+x) and 20 are apart of a right triangles of a hypotenuse of (18+6). Therefore:

[tex](6+x)^2+20^2} =(18+6)^2[/tex]

[tex](6+x)^2+400 =576[/tex]

[tex](6+x)^2=176[/tex]

Take the square root of both sides:

[tex]6+x=\sqrt{176}[/tex]

[tex]x=\sqrt{176} -6[/tex]

Moving on to the smaller triangle, we can find the value of 'y' to be:

[tex]6^2+y^2=18^2[/tex]

[tex]y^2+36=324[/tex]

[tex]y^2=288[/tex]

[tex]y=\sqrt{288}[/tex]

The correct amount in carl’s checking account will be $51.75. Then the correct option is A.

It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.

An account statement has a balance of 109 dollars and 75 cents.

Carl is balancing his checking account.

After comparing the bank statement to his register, he notices an outstanding debit of $58.00.

Then the correct amount in carl’s checking account will be

→ 109.75 - 58 = $ 51.75

More about the subtraction link is given below.

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Answer:

Step-by-step explanation:

a

Answer:

I determined it's cherry pie because the typical slice size allows 10 slices and that is enough for 10 people to enjoy it's goodness quite amazing

Answer:

Its not the same

Step-by-step explanation:

Hey there!

I would respond to him by telling him that its first 15% off then you can add the 10%

First, you would take out the 15% from $24.99 which would make the price $21.25.

Then you would take out the 10% which makes the final price $19.13

This is because the 10% was added later.

If you took out 25% in the begining the final price would be $18.75 not $19.13

The cost-savings if the Yert Family chooses the cheaper company is: $450.50

First, we determine the cost of the service of each company. Comparing that will give us an idea of the company whose service is cheaper.

Second, we subtract the lower sum from the higher. This gives us the cost savings by the Yert Family.

Step 1

Expressing the payment plan for Green Lawns, we have:

First week= $2
Second week = (2 + (2*0.85) )  = 3.7

Third week= (3.7 + (2*0.85) ) = 5.4

Using the above cumulative method, we arrive at the series of payments due per week

The series of payment are given as follows:
2 + 3.7 + 5.4+7.1+8.8+10.5+12.2+13.9+15.6+17.3+19+20.7+22.4+24.1+25.8+27.5+29.2+30.9+32.6+34.3+36.0+37.7+39.4+41.1+42.8+44.5+46.2+47.9+49.6

= $799.50

Step 2

Expressing the payment plan for Green Thumbs, we have:

350 + (30*30) = $1,250

Step 3

Hence (assuming they go for Green Lawns) the cost savings will be:

$1,250.00 - $799.50 = $450.50

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The value of x in the given figure is 91 degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

We need to find the value of x in the given figure.

To find x, firstly we need to find the unknown interior angle.

By Angle sum property the sum of three angles of a triangle is 180 degrees.

a+54+37=180

a+91=180

Now subtract 91 from both sides

a=180-91

a=89 degrees.

Now let us find the value of x which is adjacent to 89 degrees.

The sum should be 180 degrees

a+x=180

89+x=180

Subtract 89 from both sides

x=91 degrees

Hence, the value of x in the given figure is 91 degrees.

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Answer:

1065 square feet

Step-by-step explanation:

seperate the composite shape into two rectangles:

Calculate the area of shape 1:

A=bh

To get the base 55-20= 35

35x15 = 525

calculate the area for shape 2:

A=bh

20x27 = 540

525+540= 1065

Answer:

1065 square feet

Step-by-step explanation:

Area of backyard

Answer:

d is about 8.6 feet.

Step-by-step explanation:

We have similar triangles, so we can set up and then solve this proportion:

[tex] \frac{d}{10} = \frac{6}{7} [/tex]

[tex]7d = 60[/tex]

[tex]d = 8.6[/tex]

Answer:

5,425.92

Step-by-step explanation:

multiply 12×12

then mulitply 144×3.14×12

Answer: I would say that you have to divide the children's cost and the total amount of money. you would do the same for the adults as well

1,350/1.75= 780 Children

1,350/6.20= 220 Adults

Answer:

In March the baker will sell 34 chocolate chip cookies. In April he will sell 74 cookies.

Step-by-step explanation:

So first, we end up doubling the original amount of cookies from January for February which gets us 20 cookies, he takes 6 homes leaving us with 14. He continues to double the FULL amount so he doubles 20 for March which gets us 40, then we again take 6 away leaving us with 34. We do the same thing for April. Double 40 getting 80, take away 6 you get 74. Done.

Answer:

The survey was conducted by a uniform manufacturer that profits from schools requiring school uniforms.

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

Square:

     Side = 25 ft

    Area of square = side * side

                              = 25*25

                              = 625 square ft

Area of semicircle:

diameter = 25 ft

r = 25/2 = 12.5 ft

[tex]\boxed{\text{Area of semicircle =$ \dfrac{\pi r^{2}}{2} $}}[/tex]

                              [tex]=\dfrac{3.14 * 12.5*12.5}{2}\\\\\\= 245.3 \ square \ ft[/tex]

Area of the shaded region = area of square - area of semicircle

                                              = 625 - 245.3

                                              = 379.7 square ft

The type of triangle defined by the following set of side lengths is an obtuse triangle

Triangles are 2-dimensional shapes with 3 sides and angles.

The triangle with the sides 12, 8 and 16 is considered a triangle since the sum of two of its sides is greater than the third.

The triangle is not right angle since the sum of its longest side is not equal to the sum of the square of other two sides.

This shows that the triaangle can either be acute or obtuse. Since one of the sides differes from the other by 8 units, hence one of its angles will be greater than 90 degrees.

This shows that the type of triangle defined by the following set of side lengths is an obtuse triangle

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Answer:

Age of Father- 36

Age of Son- 10

Answer:

16 months

Step-by-step explanation:

Hey there!

This would be the correct answer because first you need to subtract the amount she paid from the amount she owes.

[tex]4500-2740[/tex]

[tex]=1760[/tex]

After that divide that answer from 110

This is because she will be paying 110 each month

[tex]1760/110[/tex]

Once you calculate that you will get 16.

Answer: 75 degrees

Step-by-step explanation:

square is the correct answer

Step-by-step explanation:

m<2: 65°( vertically opposite angle)

m<3: 180°-65°=115°(sum of straight line)

m<4: 180°- 65° = 115° (sum of straight line)

m<5: 180°- m<7=180-115=65

m<7 = m<4=115°(corresponding angle)

m<8 = m<5 =65°(vertically opposite angle)

m<6=m<7=115°( vertically opposite angle)

in this way 10,11,12 will be find.

Please Mark me as Brainliest .

Thanks

Step-by-step explanation:

correct this answer

mark a brain less

To find the slope, we must have two points

   --> Two points: (-3,1) and (-1, -5)

The slope's formula is -->  [tex]\frac{y2-y1}{x2-x1}[/tex]

So the slope = [tex]\frac{-5-1}{-1--3} =\frac{-6}{2} =-3[/tex]

The line graphed below has a slope of -3

Hope that helped!

Using it's concept, it is found that the probability that the card is a diamond or a face card is given by:

D. 25/52

A probability is given by the number of desired outcomes divided by the number of total outcomes.

A standard deck has 52 cards, of which 13 are diamond and 12 are face, hence:

p = (13 + 12)/52 = 25/52.

Which means that option D(25/52) is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

(-3.5, 0.5)

Step-by-step explanation:

Midpoint Formula

Solving

Now this question is a candidate for the Pythagorean Theorem :

According to the question (assuming that you're x miles away from your house) --

[tex]\implies{7}^{2} + {24}^{2} = {x}^{2} \\\implies625 = {x}^{2} \\\implies x = \sqrt{625} \\ \boxed{x = 25} [/tex]

(Rejecting x= - 25 because distance cannot be negative(atleast hypothetically))

Answer:

slope: -4 y intercept 7

Step-by-step explanation:

when using the formula y=mx+b

The slope is the fraction for m -4/1 or -4.

The y intercept is 7 and thats where the graoh starts.

Answer: slope: -4, y-intercept: 7

Step-by-step explanation: I just took the test :)

Answer:

85% of 21 is 17.85.

Answer:

B

Step-by-step explanation:

given that x and y vary inversely then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

to find k use the condition y is 24 when x is 8 , then

24 = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 to clear the fraction )

192 = k

y = [tex]\frac{192}{x}[/tex] ← equation of variation

when y = 18 , then

18 = [tex]\frac{192}{x}[/tex] ( multiply both sides by x )

18x = 192 ( divide both sides by 18 )

x = [tex]\frac{192}{18}[/tex] = [tex]\frac{32}{3}[/tex]

Answer:

Step-by-step explanation:

Write the inverse variation

y = k/x

Solve for k

y = 24

x = 8

y = k/x           Substitute the givens into this equation

24 = k/8        Multiply both sides by 8

8*24 = k

k = 192

Solve for x  when y = 18

y = k/x            Multiply both sides by x

xy = k             Divide by y

x = k/y

x = 192/18

x = 10 2/3       The answer is given as an improper fraction.

x = (10*3 + 2)/3

Answer: x = 32/3

Answer:

Step-by-step explanation:

Before comparison can take place, these three measurements must be expressed in the same unit of measurement:

130 inches becomes 130/12 feet, or 10.83 ft;

4 yards becomes 4*3 feet, or 12 feet; qne

10 feet stays as is.  

It becomes obvious that the greatest measurement is 12 feet, followed by 10.83 feet, followed by 10 feet.

The ordered list from greatest to least is 4 yards, 130 inches, 10 feet.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

First, we need to convert all the units to a common unit before we can compare them.

Let's convert them all to inches:

4 yards = 12 feet × 4 = 48 feet = 48× 12 inches = 576 inches

10 feet = 10 × 12 inches = 120 inches

Now we have: 130 inches, 576 inches, 120 inches

Ordering from greatest to least, we get:

576 inches, 130 inches, 120 inches

4 yards, 130 inches, 10 feet

Therefore, the ordered list from greatest to least is 4 yards, 130 inches, 10 feet.

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