Tony bought a shirt for a friend's birthday for $27.00. He liked the shirt so much that he returned to the store a week later to buy a shirt for himself. Tony found the price of the shirt had changed to $32.13. Rounded to the nearest whole percent, what is the percent increase in the price of the shirt?

Answer:

33.49 degrees

Step-by-step explanation:

The sine of the angle is 32/58 (Opposite over Hypotenuse from SOH CAH TOA), so the angle measure is the arcsine or sin^-1 of 32/58 on a calculator which is approximately 33.49 in degrees. An issue you could be having is your calculator being in radian instead of degree mode by default.

Answer:

1680

Step-by-step explanation:

The height of the tree to the nearest hundredth of a meter is 8.64 meters

"Two or more ratios that reflect the same relation or comparison of numbers are known as equivalent ratios," according to the definition of the equivalent ratio in mathematics. The idea of corresponding fractions is comparable. The term "proportion" also refers to the equivalence of two ratios. Even if the values of the antecedent and the consequent are different, if we simplify them, we will still arrive at the same value.

How to solve?

Mia's height=1.65 m

Tree's equivalent height=26.45m

Mia's height w.r.t. the tree's shadow=26.45-21.40 =5.05m

Ratio of the equivalent height w.r.t original height=5.05:1.65 =3.06

Tree's original height= tree's equivalent height: ratio of Mia's height

                                   = 26.45:3.06 =8.64m

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Answer: [tex]35, -1, 1[/tex]

Step-by-step explanation:

[tex]-7 \leq -1 \implies f(-7)=(-7)^2 +2(-7)=35\\\\-1 \leq -1 \implies f(-1)=(-1)^2 +2(-1)=-1\\\\0 > -1 \implies f(0)=0+1=1[/tex]

Answer:

1.0

Step-by-step explanation:

Hope this helps! :)

The solution is, 1.0 when 25/24 as a decimal rounded to the nearest tenth .

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

here, we have,

given that, 25/24

now, we have to rounded to the nearest tenth

as decimal, so, we have to divide 25 by 24

i.e. 25/24 = 1.041

we get, 1.041 => 1.0

so, it is 1.0  a decimal rounded to the nearest tenth

Hence, The solution is, 1.0 when 25/24 as a decimal rounded to the nearest tenth .

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There is only one solution to the nonlinear system.

What is Nonlinear system?

A nonlinear system is a system in which the change of the output is not proportional to the change of the input.

The solutions of a nonlinear system of equations are in the form of x and y values and these are the points at which the graphs intersect. Such systems have no solution, or one or more solutions.

So, here function 1 is a parabola and function 2 is a straight line. The parabola is touching the straight line at one point only, so this has one solution.

Hence the answer is there is only one solution to the nonlinear system.

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According to the equation (x-5)²+(y+6)2=4², the center of a circle is (5,-6).

A circle is, to put it simply, a rounded shape devoid of any edges or line segments.

Its geometric form is that of a closed curve.

Following a moving point in a plane while keeping a fixed distance from another point will result in the closed shape of a circle.

The word circle derives from the Greek word kirks, which means hoop or ring.

So, the equation we have is (x-5)²+(y+6)2=4².

The circle equation's center radius form is:

(x - h)² + (y - k)² = r²

Considering the information we have:

(x - 5)² + (y + 6)² = 4²

Where the radius is 4 and the center is (5, -6).

Therefore, according to the equation (x-5)²+(y+6)2=4², the center of a circle is (5,-6).

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Correct question:
What is the center of a circle represented by the equation (x-5)²+(y+6)2=4²?

9.332622e+157 or 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000

What is Factorial?

The product of all positive integers less than or equal to a given positive integer, indicated by that integer plus an exclamation point, is known as Factorial in mathematics.

The approximate value of 100! is 9.3326215443944E+157.

The number of trailing zeros in 100! is 24.

The number of digits in 100 factorial is 158.

The factorial of 100 is calculated, through its definition, this way:

               100! = 100 • 99 • 98 • 97 • 96 … 3 • 2 • 1

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Right angle is an angle of 90 degrees while complementary angles add up to 90 degrees.

When the sum of two angles is 90°, then the angles are known as complementary angles.

A right angle is an angle of 90°.

Perpendicular lines are lines that intersect at a 90° angle. Perpendicular lines forms a right angle.

The complementary angle theorem states, "If two angles are complementary to the same angle, then they are congruent to each other".

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The correct option regarding the expected profit of the company is given as follows:

Dugitalis can expected to make money from selling these processors.

In the long run, they should expect to make $116 on each processor sold.

The expected value of a discrete probability distribution is given by the sum of each outcome multiplied by it's respective probability.

The distribution of profits in this problem is given as follows:

For the second probability, we have the number 2348, which is the cost of manufacturing each processor, as 2800 - 452 = $2,348.

Then the expected profit over time is given as follows:

E(X) = 0.88 x 452 - 2348 x 0.12 = $116.

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Answer:

66 degrees

Step-by-step explanation:

By the Corresponding Angles Theorem, Angle 7 is equal to Angle 2. This means that the measure of Angle 2 is 114.

Since Angle 1 is supplementary to Angle 2:

[tex]114 + x = 180\\x = 66[/tex]

Angle 1 is 66 degrees

The width and the length of the slab are 2 meters and 12 meters, respectively

From the question, we have the following parameters that can be used in our computation:

Width of a rectangular slab of concrete = 10m less than the length.

Area = 24 m²

These parameters can be represented as

Width = Length - 10

Area = Length * Width

So, we have

w = l - 10

A = lw

Also, we have

A = 24

Substitute w = l - 10 in A = lw

A = l(l - 10)

So, we have

l(l - 10) = 24

Expand

l² - 10l = 24

This gives

l² - 10l - 24 = 0

Expand

l² + 2l - 12l - 24 = 0

Factorize

(l + 2)(l - 12) = 0

So, we have

l = -2 and l = 12

The length cannot be negative

So, we have

l = 12

Recall that

w = l - 10

So, we have

w = 12 - 10

Evaluate

w = 2

Hence, the dimensions are 2 meters and 12 meters, respectively

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Possible question

The width of a rectangular slab of concrete is 10m less than the length. The area is 24 m ^2

Compute the dimensions of the slab

We can make addend just by adding a number to another number.

What is addend?

Addends in math can be defined as the numbers that we add together to get a sum. The numbers you use in addition are called addends; in multiplication, the analogous term is a factor. If you add 7 to 112, the 7 is an addend, and the second number is an augend, though you're unlikely to hear anyone other than a math teacher use either of these phrases. Addere, which means "to add to, join, or attach," is the Latin root of the word addend.

Any number that is added to another is referred to as an addend in mathematics. When you add 10 to 15, 10 is the addend. An addend can alternatively be referred to as a summand.

So in example 15 is an addend of 10.

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Using the trigonometric ratio of sin, cos and tan of Y, the values are 12.7, 12.7 and 12.4 degrees respectively

This involves using ratios of sine, cosine, tangent, cot, cosec, sec to find the missing sides of a right angle triangle.

In the triangle given;

Using angle Y as a reference point;

Sin Y = opposite / hypothenuse

sin Y = 9 / 41

Y = sin⁻¹ (9/41)

Y = 12.7°

The cosine value of Y

cos Y = adjacent / hypothenuse

cos Y = 40 / 41

Y = cos⁻¹(40 / 41)

Y = 12.7°

The tangent value of Y is

tan Y = opposite / adjacent

tan Y = 9 / 41

Y = tan⁻¹(9/41)

Y = 12.4°

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The ordered pairs are of the form (x, y < 2x - 2), some examples of solutions are (0, -3) and (0, -4)

An ordered pair will be a solution if, when we replace the values of the ordered pair on the inequality, the inequality becomes true.

Here the inequality is:

y + 2 < 2x

Isolating one of the variables we get:

y < 2x - 2

Now let's assume we impose x = 0, then the inequality becomes:

y < 2*0 - 2

y < -2

So y can be any value smaller than -2, then for example:

(0, -3), (0, -4)...

All of these are solutions of the inequality.

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Answer:

y=11x-5

Step-by-step explanation:

y=mx+b

28=11(3)+b

28=33+b

b=-5

y=11x-5

The algebraic systems of equations that contain one linear equation and one quadratic equation are known as linear and quadratic equations.

In a linear formulation,

-16x² +50x+4

-2(8x² - 25x - 2)

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∠C is not congruent to any angle in DEF. Hence, option C is the correct answer.

From the given figure below,

In ΔABC,

∠A=33° and ∠C=88°

By angle sum property of triangles,

∠A+∠B+∠C=180°

33°+∠B+88°=180°

∠B=180°-33°-88°  [subtracting 33° and 88° from both sides]

∠B=59°

Now, In ΔDEF,

∠D=33° and ∠E=58°

By angle sum property of triangles,

∠D+∠E+∠F=180°

33°+58°+∠F=180°

∠F=180°-33°-58°  [subtracting 33° and 58° from both sides]

∠F=89°

Thus, ΔABC is not congruent to Δ DEF as∠C and ∠B are not congruent to any angle of the Δ DEF .

Hence, ∠C is not congruent to any angle in DEF."

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The complete question is -

Are the triangles congruent? Why or why not?

A) Yes, ∠A ≅∠D and AB ≅ DE.

B) Yes, they are congruent by either AAS or ASA.

C) No,∠C is not congruent to any angle in ΔDEF.

D) No, the congruent sides do not correspond.

Answer:

12, 24,72,96,156

Step-by-step explanation:

1/2 package would be 1/2 of 24 which is 12

21 x 24 = 24

3 x 24 = 72

4 x 24 = 72

We know that 3 packages is 72 so 6 packages is double that at 144.  We also know that have a package is 12. so 144 + 12 = 156

Answer:

1/2 package = 1/2 of 24 = 12 pencils

1 package = 24 pencils

3 packages = 24*3 = 72 pencils

4 packages = 24*4 = 96 pencils

6 1/2 packages = 24*6.5 = 156

Step-by-step explanation:

1 package = 24 pencils

1/2 package = 1/2 of 24 = 12 pencils

1 package = 24 pencils

3 packages = 24*3 = 72 pencils

4 packages = 24*4 = 96 pencils

6 1/2 packages = 24*6.5 = 156

In an isosceles triangle, two angles and two sides are always equal.

In geometry, an isosceles triangle is one with at least two sides of equal length.

It can be defined as having exactly two equal-length sides or as having at least two equal-length sides, with the equilateral triangle being an exception to the second definition.

Isosceles Triangle: A triangle is referred to as being isosceles if any of its two sides is equal.

if the triangle has X, Y, and Z as its three sides.

The triangle is isosceles when X = Y, X = Z, or Y = Z.

Scalene triangles are recognized as triangles without equal sides.

Therefore, in an isosceles triangle, two angles and two sides are always equal.

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The area of the shaded portion of the composite figure could be easily 25*25 - 1/2*13*10 that is 625 - 65 = 560 feet

When referring to a two-dimensional space or points, in mathematics, the term "area" is used. It refers to a region's or a flat object's size, such a square or rectangle. The area of a form is determined in geometry by dividing the length by the breadth. For example, the area of a square with a side length of 4 units is 4 x 4 = 16 square units. Square units, such as square inches, square feet, or square meters, are used to measure area. Triangles (1/2 x base x height), circles ( x radius squared), and trapezoids (1/2 x (base 1 + base 2) x height) are other basic geometric forms with associated area calculations.

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The larger circle is, half of the line is used to form one large circle.

What is split in half?

To split or cause to split, especially violently, by cleaving into distinct pieces, typically into two nearly equal ones.

To split into a lesser number of things neatly or equally. The mirror collapsed and broke into three almost identical pieces.

Here, a 100-unit-long line is split in half.

That means a line is divided into two equal part with length 50 unit each.

Also, half of the line is used to form one large circle. The other half forms two identical smaller circles.

From this we can see that  half of the line is used to form one large circle is always a lager circle.

And other half forms two identical smaller circles are the smaller circles.

Hence, the larger circle is, half of the line is used to form one large circle.

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Answer:

66 es pero que te ayude ■■♤♤

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Explanation:

Assuming points T, U, and V are all on the same straight line, then we can say the following:

TU + UV = TV

(4x) + (x+2) = 7

5x+2 = 7

5x = 7-2

5x = 5

x = 5/5

x = 1

Now we can determine the length of each piece.

as a check: TU + UV = 4+3 = 7 which matches perfectly with TV = 7. The answer is confirmed.

Once again, this assumes that points T, U, and V are collinear (i.e. on the same straight line). It also assumes that U is between T and V.

Assuming that the rotation is anticlockwise (as it is not defined) the coordinates of B after the rotation are (-5, 1), so the correct option is C.

If the pentagon is rotated 90°, then all the vertices are also rotated 90° about the origin.

Here we don't know if the rotation is clockwise or anticlockwise, so we assume it is anticlockwise, as this is the standard rotation.

The orignal coordiates of point B are (1, 5)

This is on the first quadrant, a rotation of 90° anticlockwise will:

So we will go from a point (x, y) to (-y, x)

Then the new coordinates of B' are (-5, 1)

Thus, the correct option is C.

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Answer:

LCD is the abbreviation for Least Common Denominator.

Step-by-step explanation:

To find the LCD of two numbers, you list out the multiples of each number. Then you look for the smallest multiple of both numbers and there you have it!

For example, if we had to find the LCD of 4 and 3, we'll first list out the multiples of both.

4: 4, 8, 12, 16, 20, ...

3: 3, 6, 9, 12, 15, ...

The first least multiple we found in those two numbers is 12.

Therefore, the LCD would be 12.

Answer:

  zero

Step-by-step explanation:

You want to know the remainder of the polynomial function for the divisor to be a factor?

A divisor is a factor of the dividend in any division problem if and only if the remainder is zero (0).

The divisor will be a factor of a polynomial function if division of the function by that divisor has a remainder of zero.

Answer:

108 degree

Step-by-step explanation:

the angle x is equals to 108 degree