A fabric store sold 3 7/8 yards of fabric to one customer and 5.5 yards of fabric to another customer. How many total yards of fabric did the two customers purchase? Express your answer as a mixed number.

The area of kite ABCD is equal to half the product of the sum of its diagonals and the height between them.

Since kite ABCD is divided into two triangles by its diagonals, we can find the area of the kite by finding the sum of the areas of these two triangles.

Let AC and BD be the diagonals of the kite, intersecting at point E. Then triangle ABE and triangle CDE are the two triangles formed by the diagonals.

The area of a triangle can be found using the formula: Area = (base x height) / 2

For triangle ABE, the base is AB and the height is the distance from E to the line containing AB. Similarly, for triangle CDE, the base is CD and the height is the distance from E to the line containing CD.

Since the diagonals of a kite are perpendicular and bisect each other, the distance from E to the line containing AB is the same as the distance from E to the line containing CD.

Therefore, the heights of the two triangles are equal.

So, we can find the area of ABCD as follows:

Area of ABCD = Area of triangle ABE + Area of triangle CDE

= (AB x height)/2 + (CD x height)/2

= (AB + CD) x height / 2

Therefore, the area of kite ABCD is equal to half the product of the sum of its diagonals and the height between them.

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Answer:

We have a problem here, Houston.

Step-by-step explanation:

Is "(x+5)2=36" supposed to be (x+5)^2=36 ?

If so,

x = ± 11

-----------------------

If it is indeed (x+5)2=36

then:

2x + 10 = 36

2x = 26

x = 13

None of the answer options fir either of these two interpretations of the equation provided.  Please check the equation.

Answer:

-11 and 1

Step-by-step explanation:

did the test

Answer:

3/2

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.

To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).

Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.

Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

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Answer:

3.5

Step-by-step explanation:

From the graph,

x1 = 0

x2 = 4

y1 = 0

y2 = 14

Formula : -

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

Slope

= ( 14 - 0 ) / ( 4 - 0 )

= 14 / 4

= 7 / 2

= 3.5

Answer:

7/2

Step-by-step explanation:

the slope of a line is the ratio of y/x.

it describes how many units y changes, when x changes a defined number of units.

an increase is indicated by "+", and a decrease by "-".

the point with full integer/natural numbers as coordinates is (4, 14).

that means that when coming from point 0 (0, 0) x increases by 4 units, and y increases by 14 units.

so, the slope of line is 14/4 = 7/2

A rectangle is a rhombus =Sometimes

A parallelogram is a rectangle = Always

A quadrilateral is a pentagon = Never

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

A rhombus has four equal sides and its opposite angles are equal.

A rectangle is a rhombus if the rectangle becomes a square.

So,

We can say that a rectangle is sometimes a rhombus.

A parallelogram is always a rectangle.

But not all rectangle is a parallelograms.

A quadrilateral has four sides.

A pentagon has 5 sides.

So,

A quadrilateral is never a pentagon.

Thus,

A rectangle is sometimes a rhombus.

A parallelogram is always a rectangle.

A quadrilateral is never a pentagon.

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Answer:

315m ^3

Step-by-step explanation:

make sure you put the exponent !!

Answer:

(2) The statement is true.

-1 < r < 1

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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The word problem 4 and one tenth times negative 4 times 5 over 12 have a product of negative 8 and one fifth

Multiplication is one of the basic mathematical operator which is used to solve the given problem. It is the inverse of division. the result of multiplication is called the product

Rewriting the word problem 4 and one tenth times negative 4 times 5 over 12 to figures

4 1/10 * -4 * 5/10

solving the equation

= 4 1/10 * -4 * 5/10

= 41/10 * -4 * 5/10

= -41/5

= -8 1/5

The product of the multiplication is negative 8 and one fifth

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Answer:24

Step-by-step explanation:

Answer:

what do u need help with

Step-by-step explanation:

ita the first answer 65..............

Answer:

\(d = 10\)

Step-by-step explanation:

\(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Simply plug in the 2 coordinates into the distance formula to find distance d:

\(d = \sqrt{(-2-6)^2+(4-(-2))^2}\)

\(d = \sqrt{(-8)^2+(4+2)^2}\)

\(d = \sqrt{64+(6)^2}\)

\(d = \sqrt{64+36}\)

\(d = \sqrt{100}\)

\(d = 10\)

Answer:

10 units

Step-by-step explanation:

( x1, y1) =A(6,-2)

(x2, y2) =B(-2,4)

Using distance formula,

AB ^2 = (x2-x1) ^2 +(y2-y1) ^2

=(-2-6)^2 +(4+2)^2

=64+36

=100

Therefore, AB=10 units

Answer:

(f + g)(x) = x² + 4x - 4  

Step-by-step explanation:

The statement (f + g)(x) is the same as f(x) + g(x). In other words, the question simply wants you to add the two functions together.

f(x) = 4x + 1

g(x) = x² - 5

(f + g)(x)                                  <----- Original statement

f(x) + g(x)                                <----- Rewrite

(4x + 1) + (x² - 5)                     <----- Substitute the equations in f(x) and g(x)

4x + x² - 4                              <----- Add 1 and -5

x² + 4x - 4                              <----- Rearrange the terms

Answer:

3

THX

Step-by-step explanation:

Answer:

100,000

Step-by-step explanation:

The 9 is in the hundredth thousand place

The exact length of the missing side of the triangle is approximately 17.68 cm.

To find the exact length of the missing side of the triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Given that the legs of the triangle are 12 cm and 13 cm, we can label them as 'a' and 'b' respectively, and the missing side as 'c'.

We can set up the equation as follows:

a² + b² = c²

Plugging in the values:

12² + 13² = c²

Simplifying:

144 + 169 = c²

313 = c²

To find the exact length of the missing side, we take the square root of both sides:

√313 = √c²

17.68 ≈ c

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Answer:

so 14 can go into 28, 2 times and 19 can go into 38 2 times so the techaer can make 2 group with 14 girls and 19 boys in each group.

Step-by-step explanation:

Therefore, the volume of the paper cone to the nearest tenth is 418.7 inches cubed.

The volume of the paper cone that Gretchen made to hold a gift for a friend is given by;V= (1/3)πr²hWhere;r = radius of the paper coneh = height of the paper coneπ = 3.14

Given that;Height of the paper cone (h) = 16 inches Radius of the paper cone (r) = 5 inchesWe are to find the volume (V) of the paper cone to the nearest tenth of an inch.

To obtain the volume of the paper cone, we can substitute the values of r and h in the formula above to obtain;

\(V= (1/3)\pir^2hV\)= \((\frac{1}{3} ) \times 3.14\times5^2 \times16V = (\frac{1}{3} ) \times 3.14\times25\times16V = (\frac{1}{3}) \times 1256V=418.7\)

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Answer:

I think it should be the second one

Answer: \(x\geq 8\)

Step-by-step explanation:

For questions like this all that you need to do is flip the inequality. So if you flip \(8\leq x\) you get \(x\geq 8\) which is your answer.

The truck will be able to travel 338miles if the tank is 14 gallons full

Fractions are written as a ratio of two integers.

If filbert's truck can travel 174 miles on 7.2 gallons of gas, then;

174 miles. = 7.2 gallons

In order to determine the distance he can travel on 14 gallons, we will have:

x = 14 gallons

Divide

174/x = 7.2/14

Cross multiply

7.2x = 2436

x =2436/7.2

x = 338.33 miles

Hence the truck will be able to travel 338miles if the tank is 14 gallons full

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The formula for the height of the banner in terms of the side length of the cardboard square, the height of the grandstand, and the distances from the person's eye level to the grandstand and the ground.

Mathematically, we can write this as:

(height of banner) / (distance from eye level to top of grandstand) = (side length of cardboard square) / (distance from eye level to bottom of square)

So, the distance from the eye level to the top of the grandstand is "s + h". We also know the distance from the person's eye level to the bottom of the square, which is "d₂ - d₁".

Putting all of this together, we can write:

(height of banner) / (s + h) = s / (d₂ - d₁)

To solve for the height of the banner, we can cross-multiply and simplify:

(height of banner) = (s² / (d₂ - d₁)) * (1 + h/s)

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Complete Question:

Zach wants to order a banner that will hang over the side of his baseball stadium grandstand and reach the ground. And then he needs to find the height for the banner so he uses a cardboard square to line up the top and bottom of the grandstand. Then he measures the distance from the grandstand and from the ground to his eye level.

Find height of the banner.

Answer:

perimeter=4X60m

she walks 3 rounds so,

(4X60)3

240X3

720 M IS WALKED BY HER

The scale factor was used for each dilation are-

A transformation that changes the size of a figure is called a dilatation. This indicates that the preimage as well as image are similar and have been scaled up or down, respectively.

A dilatation that results in a reduction (imagine shrinking) or an enlargement (think stretching) produces a smaller or larger image, respectively.

Part a: For ΔABC

Length AB = 2 units

Length A'B' = 4 units

A'B' = 2 *AB

Thus,  For ΔABC - scale factor = 2

Part b: For ΔDEF -

Length DF = 2 units

Length D'F' = 1  units

D'F' = 1/2 DF

Thus, For ΔDEF - scale factor = 1/2

Part c: For ΔGHJ -

Length GH = 3 units

Length G'H' = 1  units

G'H' = 1/3 GH

Thus,  For ΔGHJ - scale factor = 1/3

Part d: For ΔKML -

Length KM = 2 units

Length K'M' = 6  units

K'M' = 3*KM

Thus, For ΔKML - scale factor = 3

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Using the Poisson distribution, there is a 0.8335 = 83.35% probability that 2 or fewer will be stolen.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

The probability that a rental car will be stolen is 0.0004, hence, for 3500 cars, the mean is:

\(\mu = 3500 \times 0.0004 = 1.4\)

The probability that 2 or fewer cars will be stolen is:

\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)\)

In which:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-1.4}1.4^{0}}{(0)!} = 0.2466\)

\(P(X = 1) = \frac{e^{-1.4}1.4^{1}}{(1)!} = 0.3452\)

\(P(X = 2) = \frac{e^{-1.4}1.4^{2}}{(2)!} = 0.2417\)

Then:

\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2466 + 0.3452 + 0.2417 = 0.8335\)

0.8335 = 83.35% probability that 2 or fewer will be stolen.

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Answer:

Im pretty sure its C which is 5776.2m

Step-by-step explanation:

Simplify the expression:

7 - 5x - (3 + 5x)

Operate the parentheses. Each term changes its signs because the minus sign represents a -1:

7 - 5x - (3 + 5x) = 7 - 5x - 3 - 5x

Collect like terms:

7 - 5x - (3 + 5x) = 7 - 3 -5x - 5x

Simplify:

7 - 5x - (3 + 5x) = 4 - 10x

Answer: 4 - 10x

Answer:

b. e

Step-by-step explanation:

Options B and E are the correct answers.

We need to describe the transformation of triangle XYZ to triangle X'Y'Z'.

Rotation is the circular movement of an object around an axis of rotation.

Now, from triangle XYZ to triangle X'Y'Z' the angle of rotation is 180°.

The translation is (x, y) → (–x, –y).

Therefore, options B and E are the correct answers.

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Answer:

18321.77m^3

Step-by-step explanation:

V=πr2h=π·182·18≈18321.76836m³

Answer:

18,329.14 (2 DP)

Using 22/7 for pi

V = πr²h = π × 18² × 18 ≈ 18,329.14