Dwayne buys 4 yards of white canvas and 8 yards of blue canvas. How many feet of canvas does Dwayne buy in all?

After cutting the squares, the length of each shorter side (and the side length of each triangular quilt piece) is approximately 14√2 inches i.e. B.

What are squares?

A square is a two-dimensional shape with four straight sides that are of equal length and four right angles (90-degree angles) at the corners. It is a special case of a rectangle, where all four sides are the same length. A square can also be thought of as a special type of rhombus, where the angles are all right angles.

Now,

Since the hypotenuse of each triangle is 28 inches long, we know that this is also the longest side of the right triangle formed by the two shorter sides of the triangle. Let's call one of the shorter sides x.

Using the Pythagorean Theorem, we can find the length of the other shorter side:

c²= a² + b²

28² = x² + x²

784 = 2x²

x² = 392

x = √(392)

x=14√2 in

Therefore, the length of each shorter side (and the side length of each triangular quilt piece) is approximately 14√2 inches (rounded to two decimal places).

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Work Shown:

1 gallon = 4 quarts .... think 4 quarters in a dollar

4*(1 gallon) = 4*(4 quarts) ... multiply both sides by 4

4 gallons = 16 quarts

The value of sin (α + β) is,

⇒ sin (α + β) = - 135/377

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Angle α in quadrant 3:

y = opposite = 21 and x = adjacent = 20

Then, hypotenuse = √( 21² + 20²)

                            = √ ( 441 + 400)

                            = sqrt( 881)

So, sin α = 21/√881

              = 21 × sqrt(881)/881

And, cos α = 20/sqrt(881) = 20sqrt(881) / 881

Since, Angle β in Quadrant 2:

Hence,  adjacent = -5 and hypotenuse = 13

Then, by Pythagorean,

y = opposite = 12

So, sin β = 12/13, cos β = -5/13

as given,

And, tan β = -13/12

Since, We know that;

sin (α + β) = sin α cos β + cos α sin β

               = 21/√881 × - 5/13 + 20/√881 × 12/13

               = 1/√881 (- 105/13 + 240/13)

               = - 1/√881 (135/13)

              = - 135/377

Hence, The value of sin (α + β) is,

sin (α + β) = - 135/377

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Answer:

The answer is "Option a".

Step-by-step explanation:

The value of p \(= 0.178\)

The significance level\(= 0.057\)

Hypothesis:

\(H_0 -p=0.25\\\\H_1 -p \neq 0.25\\\\\to 0.178 > 0.057\) that is p-value \(> \alpha\)

therefore we don't reject\(H_o\)

Answer:

the solution is (3,-5)

Step-by-step explanation:

Graph the points then get the solution

Answer:

the answer(2, -5)

Step-by-step explanation:

hope i helped u

A population of 32,000 with a 5% annual growth rate would be modeled by the equation:

y=32000(1.05)t

with t in years.

The remainder and factor of the given algebraic expression \(\frac{5x^{5} -4x^{3} -11x^{2} +12}{x+1}\) is \((5x^{4} -5x^{3} +x^{2} -12x+12)(x+1)\) and \(0\)

As per the given question, we are supposed to find out the factor and remainder of the given algebraic expression \(\frac{5x^{5} -4x^{3} -11x^{2} +12}{x+1}\) using remainder theorem concept.

Before solving this, we need to know the concept of remainder theorem.

According to which "When a polynomial is divided by a linear polynomial, the remainder theorem is used to get the remaining. We are aware that long division of polynomials can be used to find the remainder after dividing one polynomial by another. The remainder can instead be discovered using the remainder theorem."

Hence using the same concept we can conclude that the factors are \((5x^{4} -5x^{3} +x^{2} -12x+12)(x+1)\) and remainder is \(0\)

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Answer:

the answer would be G.12

Step-by-step explanation:

The percentage of the data values are between 110 and 170 = 37.5%

We know that in the box plot, the first quartile is nothing but 25% from smallest to largest of data values.

The second quartile is nothing but between 25.1% and 50% (i.e., till median)

The third quartile: 51% to 75% (above the median)

And the fourth quartile: 25% of largest numbers.

In the attached box plot, we can observe that between two numbers on the number line there are 5 equal parts.

So, each unit length measures 10 units.

Also, the median of the data = 110

We need to find the percentage of the data values are between 110 and 170.

i.e., the percentage of the data values are in the third quartile.

The range of this box plot is: 190 - 30 = 160

The data values are between 110 and 170 = 60

Using percentage formula,

P = (60/160) × 100

P = 37.5%

This is the required percentage.

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Find the complete question below.

Answer: X=45

Step-by-step explanation:

Answer:

A) Parallelogram and Rectangle

Step-by-step explanation:

A parallelogram has two pairs of parallel sides. Because a rectangle has two pairs of parallel sides AND 4 right angles, the first option is correct.

Answer:

Parallelogram and rectengle

Step-by-step explanation:

Answer:

3562.6 m³

Step-by-step explanation:

In this question, we have to find the volume of a cylinder.

The formula to find the volume of a cylinder is V = πr²h

Plug in your values and solve.

Solve:

V = π(9)²(14)

V = π(81)(14)

V = π(1,134)

V = 3562.566069

Round to the nearest tenths place.

V = 3562.6

Don't forget that the units for volume is already cubed, or to the power of 3.

Your final answer would be 3562.6 m³

Answer:

4

Step-by-step explanation:

Answer:

C. 3x + 6

Step-by-step explanation:

x + x + x + 1 + 1 + 1 + 1 + 1 + 1 + (-1) + (-1) =

= 3x + 6

Answer: C. 3x + 6

Answer:

0.9604 = 96.04% probability of you making it home for the holidays

Step-by-step explanation:

We have these following probabilities:

100 - 33 = 67% probability of the flight happening.

In the 33%, that is, when the flight does not happen, there is an 88% probability that you get the ride with Walter.

What is the probability of you making it home for the holidays?

0.67 + 0.88*0.33 = 0.9604

0.9604 = 96.04% probability of you making it home for the holidays

Step-by-step explanation:

second one

explanation: trust me bro

It prints ,for minute

pages = 64/4 = 16 pages

Answer is

16 pages in 1 minute

Answer:

Step-by-step explanation:

The margin of error represents the range of values within which the true population mean is likely to fall with a certain level of confidence. To calculate the range of values for the actual mean number of hours spent in meetings in a week, we can use the formula:

(actual mean) = (sample mean) ± (margin of error)

Substituting the given values, we get:

(actual mean) = 4.3 ± 1.1

To find the range of values, we need to compute the upper and lower bounds of this interval:

Lower bound = 4.3 - 1.1 = 3.2 hours

Upper bound = 4.3 + 1.1 = 5.4 hours

Therefore, the actual mean number of hours spent in meetings in a week is between 3.2 and 5.4 hours.

Answer: 60

Step-by-step explanation:

-15+60=45

The value of the expression 8 / m - 11 / 3m is  13 / 3m

8 / m - 11 / 3m

Therefore,

8 / m - 11 / 3m

The factor of the denominator is 3m

Therefore,

8 / m - 11 / 3m = 3(8) - 11/ 3m

3(8) - 11/ 3m = 24 - 11 / 3m

24 - 11 / 3m = 13 / 3m

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Answer:

13.7

Step-by-step explanation:

1.37 x 10^1

Solve the exponent.

1.37 x 10

13.7 is the standard form of 1.37 x 10^1.

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For the equation 75x+30y=1500,  x is (100 - 2y) / 5 and y is (100 - 5x) / 2.

An equation is a mathematical statement that uses symbols and numbers to express a relationship between two or more variables. It states that two expressions are equal to each other.

We can solve for x and y in the equation 75x + 30y = 1500 by using algebraic manipulation.

First, we can simplify the equation by dividing both sides by the greatest common factor of 75 and 30, which is 15:

(75x + 30y) / 15 = 1500 / 15

Simplifying the left side gives:

5x + 2y = 100

Next, we can isolate one of the variables. Let's isolate y by subtracting 5x from both sides:

5x + 2y - 5x = 100 - 5x

Simplifying the left side gives:

2y = 100 - 5x

by dividing both sides by 2:

y = (100 - 5x) / 2

This is the equation for y in terms of x. We can use this equation to solve for y given a value of x, or we can substitute it back into the original equation to solve for x in terms of y.

Let's solve for x in terms of y by isolating x in the equation 5x + 2y = 100:

5x = 100 - 2y

Dividing both sides by 5 gives:

x = (100 - 2y) / 5

This is the equation for x in terms of y. We can use this equation to solve for x given a value of y, or we can substitute it back into the original equation to solve for y in terms of x.

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if you're multiplying then the answer is 12^5

when multiplying you add exponents

Answer:

Step-by-step explanation:

Where a transversal crosses parallel lines, consecutive exterior angles are supplementary:

  8x +12x = 180°

  20x = 180° . . . . . . . collect terms

 x = 9° . . . . . . . . . divide by 20

  8x = 8(9°) = 72°

  12x = 12(9°) = 108°

Answer:

1:72

Step-by-step explanation:

The scale of a drawing is the ratio of the length in the drawing to the real length.

Drawing length: 7 inches

Real length: 42 ft × 12 in. / ft = 504 in.

Scale:

7 in. to 504 in.

Divide both numbers by 7:

1 in. to 72 in.

Scale: 1:72

Answer:

h(x) = x/3 - 7

Step-by-step explanation:

Step-by-step explanation:

distance must positive

so, 25-12

=13

Answer:

1.1a+3.5b

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. x is negative: x < 0

b. y is nonnegative: y ≥ 0

c. q is less than or equal to π: q ≤ π

Answer:

a.

2. x < 0

b.

2. y ≥ 0

c.

5. q ≤ π

Step-by-step explanation:

To express the given statements as an inequality, we need to determine the relationship between the given quantities.

a. The statement "x is negative" means that x is less than 0. Mathematically, we can represent this as x < 0.

b. The statement "y is nonnegative" means that y is greater than or equal to 0. Mathematically, we can represent this as y ≥ 0.

c. The statement "q is less than or equal to π" means that the value of q is either equal to π or less than π. Mathematically, we can represent this as q ≤ π.