Alanna is painting a border on a wall. The border consists of kite-shaped figures as shown.

3 kites are connected at 1 point.

Each kite measures 6 inches across and 12 inches long. The wall is 12 feet across. How many square inches of the wall will be covered with kites?

Given:

Width of the rectangular yard = x feet

Length of the rectangular yard = x+4 feet

Perimeter of the rectangular yard is:

[tex]P=4x+8[/tex]

Perimeter of the yard = 84 feet

To find:

The length of the rectangular yard.

Solution:

Perimeter of the yard is 84 feet.

[tex]4x+8=84[/tex]

[tex]4x=84-8[/tex]

[tex]4x=76[/tex]

Divide both sides by 4.

[tex]x=\dfrac{76}{4}[/tex]

[tex]x=19[/tex]

So, the width of the rectangular yard is 19 feet.

Length = [tex]19+4[/tex]

Length = [tex]23[/tex]

The length of the rectangular field is 23 feet.

Therefore, the correct option is B.

Answer:

15.9

Step-by-step explanation:

Formula:

a² + b² = c²

6² + x² = 17²

36 + x² = 289

x² = 253

[tex]\sqrt{x^2} =\sqrt{253}[/tex]

x = 15.91

The value of x will be equal to x = 15.9.

The Pythagorean theorem says that the sum of the square of the perpendicular and the base will be equal to the square of the hypotenuse of the right-angle triangle.

Given that the sides of the triangle are,

a = 6,

b = x

c = 17

The value of x will be calculated as,

a² + b² = c²

6² + x² = 17²

36 + x² = 289

x² = 253

x = 15.91

Therefore, the value of x will be equal to 15.91.

To know more about the Pythagorean theorem follow

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Answer:

2x/5 <14

Step-by-step explanation:

Answer:

[ -3 +(-5)][-3-(-5)]

( -8)(2)

= 16

Step-by-step explanation:

where there's x put-3 and where there's y put-5

I don't see =0 so I don't believe you will have to equate further

Answer:

-16

Step-by-step explanation:

Hello There!

For this one we also need to plug in the values and solve

(-3+(-5)(-3-(-5)

first lets distribute the -3 to -3 and -(-5)

-3x-3=9

-3x5=-15

9-15=-6

now lets distribute the -5 to the -3 and -(-5)

-5x-3=15

-5x5=-25

-25+15=-10

-10-6=-16

so the answer would be -16

the answer for that should be C

Answer:

I think its c

Step-by-step explanation:

4 is the initial cost and 55 is the amount per ticket

Answer:

Angle 2 = 34 degrees

Angle 4 = 34 degrees

Step-by-step explanation:

Angle 7 = Angle 1

180 - 146 = 34 degrees

so Angle 2 and 4 are 34 degrees, since they are congruent.

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

87 Feet

Step-by-step explanation:

It's been a while since I used trigonometry, but here is what I got.

We know that 44 degrees in the angle from the string to the base of the ground.

We also know that the length from that angle to the base of the tree is 90 feet.

So using the SOH, CAH, TOA rule we know that to figure out the opposite side (x) length using the adjacent side (90) length we need to use tangent of 44 degrees.

The equation should be tan(44°) = x/90

Tan(44°)=0.96589

Now you multiply that number by 90 to find x.

Hope that helped, let me know if it did or not.

Answer:

F = (-2,4); E = (-2,0); D = (2,0)

Step-by-step explanation:

F = 4 points from A, so by a scale factor of 2, it would be 2 times father away from A. The same thing applies for all of the other points; just find how much father A is from a point, then dilate that point by multiplying it by the scale factor, and settling the point closer or father from A.

Answer:

3(7+x²)x-2

3x(7+x²)-2

21x+3x³-2

Answer:

unm okay? is there anything more to the question?

Answer:

Step-by-step explanation:

She poured ⅔×2 = 4/3 qt into the second bottle.

Her bottle holds 2×4/3 = 8/3 qt

Answer: G would be your answer, or c = 8k + 24

Step-by-step explanation:

Answer:

it is G) c=8k + 24

Step-by-step explanation:

brainliest pls

Answer:

9 inches

Step-by-step explanation:

Let's call the width x and length 2x

The perimeter is calculated by adding all side lengths

so x + 2x + x + 2x = 54 inches add like terms

6x = 54 divide both sides by 6

x = 9 inches that's the answer.

Answer:

I will post 4,5 and 6 separately.

Answer:

The time it will take is approximately 104,128 seconds

Step-by-step explanation:

The given parameters are;

The diameter of the tank, D = 24 ft.

Therefore, the tank radius, R = D/2 = 24 ft./2 = 12 ft.

The height of the tower on which the tank sits, h = 60 ft.

The hose through which the tank is filled is attached at the bottom of the tank

The radius of a slice of sphere, r = √(R² - y²) = √(12² - y²)

The power of the pump which is used to deliver the water = 1.5 horsepower

The volume of a slice of water in the tank, V = π·r²·Δx = π·(√(12² - y²))²·Δx ft³ = (144 - y²)·π·Δx ft³

The force of the slice, F = V·g·ρ = (144 - x²)·π·Δx ft³ × 62.5 lb/ft³

Let '[tex]y_i[/tex]' represent the height to which each slice is pumped in  the tank, we have;

y = R - (√(R² - x²)) = 12 - (√(144 - x²)

[tex]\lim\limits_{n \to \infty}\ \sum\limits_{i=0}^n (144 - x^2) \cdot \pi \times 62.5 \cdot y_i\ \Delta x \ lb[/tex]

The work done is therefore;

[tex]W = 62.5\times\pi \times \int\limits^{12}_{-12} {(144 - x^2) \cdot(12-(\sqrt{144-x^2} ) \ } \, dx = 632044.366475 \ ft. \cdot lb[/tex]

The work done in filling the tank, W = 632,044.366475 ft·lb

The work done in lifting the water to the base of the tank, W₂ = V·ρ·g×h

[tex]\therefore W_2 = 60 \times 62.5\times\pi \times \int\limits^{12}_{-12} {(144 - x^2) \ } \, dx = 632044.366475 \ ft. \cdot lb = 85273382.0257[/tex]

Therefore, W₂ = 85,273,382.0257 ft.lb

The total work done by the pump,

W = 85,273,382.0257 ft.lb + 632,044.366475 ft·lb = 85,905,426.3922 ft.lb

The time it will take the pump to fill the tank, 't', is given as follows;

1

Power, P = Work, W/(Time, t)

∴ t = W/P

P = 1.5 HP = 550 × 1.5 ft·lb/s = 825 ft·lb/s

t = 85,905,426.3922 ft.lb/(825 ft·lb/s) = 104,127.789566 s

The time it will take, t ≈ 104,128 seconds

Answer:

disappoint

recall

disgusted

reunited

prepare

Answer:

IT SAYS IT 27 PEOPLE WOULD BE SEATED

Step-by-step explanation:

Answer:

(5 + x)(5 - x)

Step-by-step explanation:

[tex]25 - {x}^{2} \\ \\ = {5}^{2} - {x}^{2} \\ \\ = (5 + x)(5 - x)[/tex]

Answer:

A. Mean

Step-by-step explanation:

Ans.......

YTC ...................................

Step-by-step explanation:

Answer: 0.089

Step-by-step explanation:

Math

Answer:

b. 59

Step-by-step explanation:

cosΘ = 42/82

Θ ~= 59.1898

Answer:

y-12=1/3(x-6)

Step-by-step explanation:

Using the slope intercept form:

[tex]y - yo = m(x - xo) [/tex]

We can see from the given point (6,12) that yo = 12 and xo = 6. The slope, m, is 1/3. Plugging in the values gives us this equation in slope-intercept form that can then be converted to any other form.

Answer:

7/10

......................

Answer:

there is no attachments but   The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

Step-by-step explanation:

Answer:14127

Step-by-step explanation:

Po=2100

T=11

D=4

Pt=po•2 t/d

Pt=2100•2 11/4

Pt=14127.0598=14127