A pizza parlor sold 38mc005-1.jpg pizzas during a dinner hour. If each pizza contained 8 slices, how many slices of pizza were sold?

The options are

Answer:

D

Step-by-step explanation:

Answer:39

Step-by-step explanation:

130+30%=39

y^2 +6^2 = 12^2

y^2 +36 = 144

y^2 = 108

sqrt(108) = 10.392 = 6sqrt(3)

 Answer is B 6sqrt(3)

The matrix represents the system of linear equations: -3x + 5y = 15 and 2x + 3y = -10.

The matrix represents the system of linear equations. Each row corresponds to an equation and each column to a coefficient of the unknowns. So, the given matrix:

-3  5  |  15
2  3  | -10

Represents the system of linear equations:

-3x + 5y = 15

2x + 3y = -10

Where x and y are the unknown variables that we are trying to solve for.

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Answer:

Step-by-step explanation:

but what ab this one:  Find the length of the hypotenuse of a right triangle with legs of 5 ft and 12 ft.

A right triangle in which one angle is the right angle and the two sides are perpendicular to each other. Hence, the length of the hypotenuse is [tex]20ft[/tex].

What s the right triangle?

A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle, i.e., in which two sides are perpendicular.

Here, the lengths of the triangle are [tex]12ft[/tex] and [tex]16ft[/tex] .

As we know,

[tex]H^{2}=P^{2}+B^{2}[/tex]      ..........[tex](1)[/tex]

Now, substituting the values in the equation [tex](1)[/tex], we get

[tex]H^{2}=(12)^{2}+(16)^{2}\\H^{2}=144+256\\H^{2}=400\\H=\sqrt(400)\\H=20ft[/tex]

Hence, the length of the hypotenuse is [tex]20ft[/tex].

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The width that gives the maximum area of the rectangular pen is 12 feet, and the maximum area is 144 square feet.

To maximize the area of a rectangle with a fixed perimeter, you want to make the rectangle as close to a square as possible. This maximizes the area because it distributes the available fencing evenly among the sides, optimizing the area enclosed. The given function, A = 24x - x^2, represents the area of a rectangle with width 'x' and length 'L' where L = (48-2x) / 2.

Maximization or minimization of a function occurs at its turning point. For a quadratic function like ours, the maximum or minimum happens at the vertex. The x-coordinate of the vertex is given by -b/2a. So, in our function A = -x^2 + 24x (which is the same as 24x - x^2), a = -1, b = 24.

Substitution gives: x = -(24) / 2*(-1) = 12 feet. Therefore, the width that gives you the maximum area is 12 feet.

Substitute x = 12 into the function to find the maximum area: A = 24*12 - 12^2 = 288 - 144 = 144 square feet.

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Part A: ∠SMB does not have a complementary angle

Part B: The angle measure of the supplement of ∠SMB is 54.65°

Part C: The angle measure of the angle complement to ∠SMB's supplement is  35.35°

The given angle is ∠SMB and m ∠SMB =125.35 °

Complementary angles are angles that sum up to 90°.

To determine the angle measure that is complement to  ∠SMB, we will find the angles that adds up to ∠SMB to give 90°. Since  ∠SMB is already greater than  90°, therefore,  ∠SMB does not have a complementary angle.

Supplementary angles are angles that sum up to 180°.

To determine the angle measure of the supplement of ∠SMB, we will find the angle that adds up to ∠SMB to give 180°. Let the measure of the angle be x, that is

x + 125.35° = 180°

∴ x = 180° - 125.35°

x = 54.65°

∴ The angle measure of the supplement of ∠SMB is 54.65°

To determine the angle measure of the angle complement to ∠SMB's supplement, we will determine the measure of the angle that adds up to ∠SMB's supplement to give 90°. Let the angle be y

Then,

y + 54.65° = 90°

(NOTE: ∠SMB's supplement is 54.65°)

∴ y = 90° - 54.65°

y = 35.35°

∴ The angle measure of the angle complement to ∠SMB's supplement is  35.35°

Hence,

Part A: ∠SMB does not have a complementary angle

Part B: The angle measure of the supplement of ∠SMB is 54.65°

Part C: The angle measure of the angle complement to ∠SMB's supplement is  35.35°

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The statements are to be checked whether they are true or not.

The true statements are:

As Abigail’s time increases, her distance increases.

At 2 hours, Abigail has traveled 120 miles.

At 3 hours, Abigail has traveled 180 mile

Abigail is driving at a speed of 60 miles per hour for 3 hours.

The function representing the situation will be

[tex]y=60x[/tex]

where,

[tex]y[/tex] is the distance in miles

[tex]x[/tex] is the time in hours

If time increases this means [tex]x[/tex] increases so, distance [tex]y[/tex] will also increase.

At 2 hours [tex]x=2[/tex]

[tex]y=60\times 2=120[/tex]

The distance traveled is 120 miles.

At 1.5 hours [tex]x=1.5[/tex]

[tex]y=60\times 1.5=90[/tex]

The distance traveled is 90 miles.

At 3 hours [tex]x=3[/tex]

[tex]y=60\times 3=180[/tex]

The distance traveled is 180 miles.

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Answer:

To prove the Converse of Pythagorean Theorem:

Step-by-step explanation:

1. Draw a right triangle (Triangle ABC)

2. Draw an altitude from and A to the hypotenuse creating 2 new triangles

3. The part that intersects the hypotenuse will be point D, this makes a right angle

Triangle DBA and triangle ABC both have right angles and share angle B, this means that triangle ABC and triangle DBA are congruent by the AA postulate. Since triangle DAC and triangle ABC both have right angles(angle D and angle A) and they share angle C, triangle DAC and ABC are congruent by the AA postulate as well.

The ratios can be set up as:

AC/BC = DC/AC & AB/BC = DB/BA

Once cross multiplied, the result should be:

(AC)² = (BC)(DC) & (AB)² = (BC)(DB)

Now add both sides together to get:

(AC)² + (AB)² = BC(DC) + (BC)(DB)

To make things easier, factor out the like terms:

(AC)² + (AB)² = BC(DC + DB)

When looking at the triangle(must draw to see), it shows that (DC + DB) is actually side BC. This leaves:

(AC)² + (AB)² = BC(BC) → (AC)² + (AB)² = (BC)²

The Pythagorean theorem says that a² + b² = c². Knowing this, on the original triangle, side AB = a, side AC = b, and side BC = c. Knowing this:

(AC)² + (AB)² = (BC)² → a² + b² = c²

This proves the Converse of the Pythagorean Theorem.

To find two real numbers whose sum is 2 and product is -48, we form a quadratic equation x^2 - 2x - 48 = 0. Using the quadratic formula, we get two pairs of numbers (8, -6) and (-6, 8) that satisfy the given conditions.

To find two real numbers that satisfy the given conditions, namely their sum being 2 and their product being –48, we can set up a system of equations or use a . Let's denote the two numbers as x and y. We know:

We can express y in terms of x from the first equation: y = 2 - x. Substituting this into the second equation gives us:

x(2 - x) = -48

This simplifies to a quadratic equation:

x^2 - 2x - 48 = 0

Using the, x = (-b ± √(b^2 - 4ac)) / (2a), with a = 1, b = -2, and c = -48, we find the two possible values for x, which in turn gives us the corresponding values for y:

x = (2 ± √(4 + 192)) / 2

x = (2 ± √196) / 2

x = (2 ± 14) / 2

Therefore, the two solutions are x = 8 or x = -6. Since we were looking for two numbers, using x + y = 2, the corresponding y values are y = -6 and y = 8, respectively. Hence, the two pairs of numbers that satisfy the conditions are (8, -6) and (-6, 8).

in 4 minutes it changed 8 feet

 so 8/4 =2 feet per minute change

and since it dropped it would be a negative change so -2 feet per minute

The largest size of the square that can be embroidered within the 6 inch hoop is 4.2 inches per side (rounded to the nearest tenth). This is found using geometry principles involving squares and circles.

This question is asking for the side length of a square that will fit within a circle, or in this case, an embroidery hoop, with a certain diameter. This is a concept from geometry that involves the relationship between squares and circles. Essentially, the diameter of the circle becomes the diagonal of the square.

To calculate the side length (x) of the square, we'll use the formula for the diagonal (d) of a square divided by the square root of 2 (d = √2 * x). Since the diameter of the hoop is 6 inches, rearranging the equation gives us x = d / √2 which results in x = 6 / √2 = 4.2 inches (rounded to the nearest tenth)

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Answer:

[tex]25.1\ inches[/tex]

Step-by-step explanation:

we know that

The circumference of a circle is equal to

[tex]C=2\pi r[/tex]

we have

[tex]r=4\ in[/tex]

substitute

[tex]C=2(3.14)(4)=25.1\ in[/tex] -----> one more decimal than the given radius (nearest tenth)

percent error=100 times error/predicted

error=175-100=75

predicted=100

percent error=100 times 75/100=75

the answer si 75% error

Answer:

(B) Incenter

Step-by-step explanation:

From the given figure, it can be seen that PMN is a triangle where MQ is the angle bisector of ∠NMP, PQ is the angle bisector of∠NPM and NQ is the angle bisector of ∠MNP.

Also, It is equally distant from the three line segments forming the sides of the triangle. Thus, By the definition of incenter, Q can be named as the incedntre of the given triangle PMN.

Since, the centroid, circumcenter and orthocenter does not satisfy the conditions given in the figure, thus Q can not be considered as centroid, circumcenter and orthocenter.

Hence, option B is correct.

Answer:

the answer is incenter

Step-by-step explanation:

took the apex quiz got it correct !

In this exercise we want to calculate the value of angle B, so we have to:

Letter A

So knowing the tangent formula as:

[tex]tan(x) = opposite / adjacent[/tex]

Knowing some information given in the exercise such as:

So we have:

[tex]tan(30)=5/b[/tex]

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