Solve for r 4r + 8 = 7.2 + 5r

Given:

The base of the given figure = 23.8 ft

Height of the parallelogram = 15 ft

To find the area of the shaded region.

Formula

where, [tex]A[/tex] be the area of the shaded region

[tex]A_{1}[/tex] be the area of the parallelogram.

[tex]A_{2}[/tex] be the area of the triangular part.

Now,

Putting, Base = 21, Hypotenuse = 23.8 we get,

[tex]Height^{2} = 23.8^{2}-21^{2}[/tex]

or, [tex]Height = \sqrt{566.44-441}[/tex]

or, [tex]Height = 11.2[/tex]

Therefore,

Area of the parallelogram [tex]A_{1} = (23.8)(15)[/tex] sq ft = 357 sq ft

Area of the triangle [tex]A_{2}[/tex] = [tex]\frac{1}{2}(11.2)(21)[/tex] sq ft = 117.6 sq ft

So,

The area of the shaded part = (357-117.6) sq ft = 239.4 sq ft

Hence,

The area of the shaded part is 239.4 sq ft.

Answer:

75%

Step-by-step explanation:

Here, we are asked to calculate the percentage of a trip that has been completed by Leigh.

Firstly, we identify the total length of the trip, this is 1470km. She stopped 370km from her destination. The length of the distance traveled is 1470km - 370km = 1100km

Now we proceed to calculate what percentage of the journey is this.

We calculate this by placing it over the total length multiplied by 100%

That would be

1100/1470 * 100 = 74.82 approximately 75%

Answer:

The area of frame is 180 square meters.

Step-by-step explanation:

We are given the following in the question:

Dimension of rectangular painting:

Length, l = 20 cm

Width, w = 16 cm

Dimension of frame:

Length, L = 25 cm

Width, W = 20 cm

We have to find the area of frame.

Area of rectangle =

[tex]A = l\times w[/tex]

Area of frame =

[tex]A-a\\=(L\times W)-(l\times w)\\=(25\times 20)-(20\times 16)\\=180\text{ square meters}[/tex]

Thus, the area of frame is 180 square meters.

Answer:

x=4

Step-by-step explanation:

Step 1: Subtract 10 from both sides.

3x+10−10=22−10

3x=12

Step 2: Divide both sides by 3.

3x/3=12/3

x=4

if i can get brainliest that would be great

Answer: 4/5 of 45 is 36

Step-by-step explanation: If you were to divide 45 by 5 you would get 9. 9 is 1/5 of 45 so if you multiplied it by 4 you would 4/5 of 45 which is 36.

The ( 4/5 )th of the number is 120 and the equation is ( 30 / 100 ) N = 45 , where N is the number and N = 150

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number be represented as N

A = 30% of a number is 45

Substituting the values in the equation , we get

( 30/100 ) N = 45   be equation (1)

Multiply by 100 on both sides of the equation , we get

30 N = 4500

Divide by 30 on both sides of the equation , we get

N = 4500 / 30

N = 150

Therefore , the value of N is 150

Now , ( 4/5 )th of the number be calculated as

Let the ( 4/5 ) of the number be = B

So , the equation will be

B = ( 4/5 ) x 150

B = 4 x 30

B = 120

Hence , the number is 150 and ( 4/5 ) th of the number is 120

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Answer:

the tires are 42 dolars

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

25% × 56 =

(25 ÷ 100) × 56 =

(25 × 56) ÷ 100 =

1,400 ÷ 100 =

14

Answer:

A. [tex]h(x) = 3^{x+1}[/tex]

Step-by-step explanation:

Stretching means that original function is multiplied by a constant, which is equal to 3 in this case:

[tex]h(x) = 3 \cdot g (x)[/tex]

[tex]h(x) = 3\cdot 3^{x}[/tex]

[tex]h(x) = 3^{x+1}[/tex]

The answer is A.

Answer:

A

Step-by-step explanation:

at maximum. dt/dh=0

if you differentiate you will get

-32t=-100

t=3.125

Answer:

10 batches i think, sorry if im wrong

Step-by-step explanation:

To determine the number of batches of cookies you can make with 8 cups of flour and a recipe that calls for 3/4 cup per batch, you would divide 8 by 3/4.

To determine the number of batches of cookies you can make with 8 cups of flour and a recipe that calls for 3/4 cup per batch, you need to divide the total amount of flour by the required amount for each batch. So, you would divide 8 cups by 3/4 cup:

8 cups ÷ 3/4 cup = 8 ÷ 3/4 = 10 2/3 batches of cookies

Therefore, you can make approximately 10 and 2/3 batches of cookies.

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Answer:

452 cm^3

Step-by-step explanation:

The volume of a cilinder is [tex]\pi (radius^{2})(height)[/tex]

The diameter of the cup is 8cm, the formula of the radius is [tex]\frac{diameter}{2}[/tex]

So the radius would be [tex]\frac{8}{2}[/tex] = 4cm

We change variables in the formula of the volume [tex]\pi(4^{2})(9)[/tex] = 144[tex]\pi[/tex] = 452cm^3

Answer:

i needed the same thing woa

Answer:

2.54648 ft

Step-by-step explanation:

r = 8/π (ft.) Therefore, the radius of the circle when its circumference is 16 feet is r ≈ 2.54648 ft. C = 2 (3.14159) (2.54648) ft :)

Final answer:

After converting the chain length from feet to inches, Tony will have 6 inches of gold chain left after making three necklaces, each requiring 16-inch pieces.

Explanation:

Tony needs to determine how much gold chain he will have left after making three necklaces, each requiring 16-inch pieces. First, we need to convert the total chain length from feet to inches. Since 1 foot equals 12 inches, 4.5 feet would be 4.5 × 12 inches, which equals 54 inches. Now, we can calculate the total length of chain needed for the necklaces by multiplying the length of one necklace (16 inches) by the number of necklaces (3), which is 16 × 3 = 48 inches.

Subtracting the total chain used for the necklaces (48 inches) from the total length of chain available (54 inches) gives us the remaining length of chain. So, 54 inches - 48 inches = 6 inches of chain leftover after making the three necklaces.

Answer:

hi

Step-by-step explanation:

sue your math professor that professor is evil

Answer:

-5

Step-by-step explanation:

The minimum is at the vertex.  This is at (1, -5)

The minimum value is -5

Answer:

The correct answer is x [tex]\geq[/tex] 106, where x is the marks score by Jose in his remaining test, n.

Step-by-step explanation:

Jose scored 544 points in his math test.

Jose needs minimum of 650 points to get an A.

Let Jose scores x in the remaining test, n.

Jose needs to score an A. So, to reach 650 points, Jose need to score a minimum of 650 - 544 = 106 points.

Thus the value of x must be greater than of equal to 106, in his remaining test, n, to ensure that Jose gets an A.

⇒ x [tex]\geq[/tex] 106.

Answer:

Correct answers is

[tex] \frac{1}{216} [/tex]

Step-by-step explanation:

Given: The chances of striking the bull's-eye each time of throw =\frac{1}{6}

Since, if we throe dart on dart board , each event will be independent of the other.

Then, If we throw 3 times, what is the probability that we will strike the bull's-eye all 3 times is given by :-

[tex]p(strike \: bulls \: eye \: ) = \frac{1}{6} x \frac{1}{6} x \frac{1}{6} = \frac{1}{216} [/tex]

Hence, the probability that we will strike the bull's-eye all 3 times is 1/216

Answer:

1/216

Step-by-step explanation:

Answer:

Net worth is defined as:

Assets - Liabilities.

Assets are what you own.

Liabilities are what you have to pay.

So, home + truck + investments are assets.

Likewise, mortgage + student loans + credit cards are liabilities.

Doing the math, Susan's net worth is

Assets - Liabilities

$143,392.90 - $98,077.12 =

$45,315.78

Susan's net worth is $45,315.78

Good luck!

Susan's net worth is calculated by subtracting her total liabilities (mortgage, student loans, and credit card debt) from her total assets (home, truck, and investments). Therefore, Susan's net worth is $45,315.78.

The question is about calculating Susan's net worth. Net worth is calculated by subtracting the total liabilities from total assets. In Susan's case, her assets include her house, truck, and investments, which total to $143,392.90 ($128,318.74 for the house, $10,615.00 for the truck, and $4,459.16 for her investments). Her liabilities include her mortgage, student loans, and credit card debt, which sums up to $98,077.12 ($93,987.74 for the mortgage, $2,874.46 for the student loans, and $1,214.92 for the credit card debt). To calculate Susan's net worth, subtract total liabilities from total assets. Therefore, Susan's net worth is $45,315.78 ($143,392.90 - $98,077.12).

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Answer:

3/20 of the students play soccer

Step-by-step explanation:

1. Divide the amount of students that play sports, 3/4 by the amount of those that play soccer, 1/5

2. 3/4 divided by 1/5= 3/20

Answer:

3/20

Step-by-step explanation:

Answer:

  5 1/4

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by its inverse.

  (3 3/4)/(5/7) = (15/4)/(5/7) = (15/4)·(7/5) = 21/4 = 5 1/4

_____

Many graphing calculators (and some scientific calculators) will do this mixed-number arithmetic for you.

Answer:

False.

Step-by-step explanation:

it is an angle formed by 2 adjacent sides inside the polygon.

Answer:

False

Step-by-step explanation:

Interior angle is formed by 2 adjacent sides

Answer:

0.75 is the probability of selecting a CD that is not comedy.

Step-by-step explanation:

We are given the following in the question:

Number of comedy CD = 4

Number of science CD = 5

Number of adventure CD = 7

Total number of CD,n = 16

We have to find the probability for selecting a random CD that is not comedy.

Formula:

[tex]\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}[/tex]

P( Non-Comedy CD) =

[tex]=\dfrac{\text{n(Non-Comedy)}}{n}\\\\=\dfrac{5+7}{16} = \dfrac{12}{16}=\dfrac{3}{4}= 0.75 = 75\%[/tex]

Thus, 0.75 is the probability of selecting a CD that is not comedy.

Answer:

5

Step-by-step explanation:

Figuring the short side, it becomes a nice 3, 4, 5 triangle

so the short side is 5 units.

Hope this helped

:)

Final answer:

The length of the shortest side of the triangle is the length of side BC, which is calculated to be 5 units using the distance formula.

Explanation:

To find the length of the shortest side of the triangle with the given vertices, we will calculate the length of each side using the distance formula √((x2-x1)² + (y2-y1)²) and then determine the shortest one.

Therefore, the length of the shortest side is the length of side BC, which is 5 units.

Answer:

The answer to your question is (-1, 6)

Step-by-step explanation:

Data

                       7x - y = -13               Equation l

                      -3x - y = -3                Equation ll

-Solve equation l for y

                       y = 7x + 13                Equation lll

-Substitute equation lll in equation ll

                      -3x - (7x + 13) = -3

-Solve for x

                     -3x - 7x - 13 = -3

                     -10x = 13 - 3

                     -10x = 10

                          x = 10/-10

                          x = -1

-Substitute x in equation lll

                        y = 7(-1) + 13

                        y = -7 + 13

                        y = 6

Answer:

8/45

Step-by-step explanation:

The simplified fraction is equal to 0.1ModifyingAbove 7 with bar is StartFraction 17 Over 9 EndFraction, the correct option is C.

Suppose the fraction is proper (the numerator is smaller than the denominator).

Let it be

[tex]\dfrac{a}{b}[/tex]

Then, we can interpret it as:

[tex]\dfrac{a}{b}[/tex] = a parts out of b parts of a thing.

We are given that;

The fraction; 0.1ModifyingAbove 7 with bar

Now,

The number 0.1 is a repeating decimal, which means it has a repeating pattern of digits after the decimal point. To convert this decimal to a fraction, we can use the fact that:

0.1= 0.111= 1/9

So the simplified fraction that is equal to 0.1 is;

StartFraction 1 Over 9 EndFraction

StartFraction 9 Over 17 EndFraction can't be simplified further.

StartFraction 8 Over 45 EndFraction can be simplified to StartFraction 16 Over 90 EndFraction.

StartFraction 17 Over 9 EndFraction can't be simplified further.

StartFraction 16 Over 90 EndFraction can be simplified to StartFraction 8 Over 45 EndFraction.

Therefore, by fraction the answer will be StartFraction 17 Over 9 EndFraction.

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Answer:

No real Solution

Step-by-step explanation:

Plug a=14, b=9, and c=10 into the quadratic formula, and you'll get

[tex]x=(-(9)±\sqrt{-479})/ 28[/tex]

since -479 is negative, you'll get an imaginary number.

The ground speed of the plane is approximately 116.88 km/h, and its bearing is about 83.44°, given an airspeed of 134 km/h on a 78° bearing and a 21 km/h wind from 225°.

The plane's ground speed is approximately 116.88 km/h, and its bearing is roughly 83.44°. This calculation incorporates the plane's airspeed of 134 km/h at a bearing of 78° and a wind speed of 21 km/h from a bearing of 225°.

First, we decompose the velocities into horizontal and vertical components. For the plane's airspeed, the horizontal component is about 27.81 km/h, and the vertical component is around 131.04 km/h. Similarly, for the wind, the horizontal and vertical components are approximately -14.85 km/h each. By adding the horizontal components of the airspeed and wind, we get 12.96 km/h. Likewise, adding the vertical components yields 116.19 km/h.

Using these components, we calculate the resultant velocity vector's magnitude, approximately 116.88 km/h, using the Pythagorean theorem. The direction, or bearing, is computed to be approximately 83.44° using the inverse tangent function.

Therefore, the plane moves at a speed of about 116.88 km/h, slightly northeast of east, due to the combined effect of its airspeed and the wind.

The error interval for y is 7.8 ≤ y < 7.9.

The error interval is determined by the decimal digits that will determine the value of y. Since the calculator display shows 7.8, y will be between 7.8 and the next smallest number, which will be 7.9. Therefore, the error interval for y is:

7.8 ≤ y < 7.9

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The error interval for y is [7.8, 7.9).

To find the error interval for y, we need to consider the decimal place immediately after the given value on Sarah's calculator display. Since the given value is 7.8, we look at the digit after the decimal point, which is 0. If this digit is 5 or greater, we round up the previous digit. In this case, 0 is not greater than 5, so we do not round up. Therefore, the error interval for y is [7.8, 7.9).

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Answer:

3.49

Step-by-step explanation:

5-1.51=3.49

Answer:

3.49 meters long

Step-by-step explanation:

5-1.51 = 3.49

- If you need this further explained please let me know. I would be glad to help.