An amusement park recently increased the cost of a family season pass. The original price was $150. The new price is $183. What was the percent of increase or markup?

Answer:

If two sides of a triangle are unequal, then the measures of the angles opposite these sides are unequal, and the greater angle is opposite the greater side.

have a great day and easter

The Inequality Theorem states that, If two angles of a triangle are unequal, then the measures of the sides opposite these angles are also unequal, and the longer side is opposite the greater angle.

A triangle is a polygon with three edges and three vertices.

Triangle Inequality Theorem :-

If two angles of a triangle are unequal, then the measures of the sides opposite these angles are also unequal, and the longer side is opposite the greater angle.

For example :-

Consider a triangle RQS,

List the sides of this triangle in increasing order.

Because 30° < 50° < 100°, then RS < QR < QS.

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Answer:

Step-by-step explanation:

The slope of the line passing through two given points:  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(9, 12)   ⇒   x₁ = 9,  y₁ = 12

(7, 4)   ⇒     x₂ = 7,  y₂ = 4

So, the slope:

                     [tex]m=\dfrac{4-12}{7-9}=\dfrac{-8}{-2}=4[/tex]

Answer:

the secend equation

[tex]y = - x + 9[/tex]

Step-by-step explanation:

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Step-by-step explanation:

In a triangle, the hypotenuse is the longest side

=>7x+3

=7(8)+3

=56+3

=59

Answer

3.9 round to 4 ish

Step-by-step explanation:

hey, I'm not sure if I did this right but the way I did it it's what I'm learning so if you get it wrong I apologize.

The perimeter of a rectangular table is 198 inches.

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Given that, a rectangular table is 64 inches long and 35 inches wide.

Now the perimeter of table is

2(64+35)

= 2×99

= 198 inches

Therefore, the perimeter of a rectangular table is 198 inches.

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Answer:

answer is 0.697 !

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

Answer:

it should be C 444ft^2

Step-by-step explanation:

20*24=480

6*6=36

480-36=444

Answer:

rate is 8 miles per hour and he travels 40 miles per 5 hours

Step-by-step explanation:

The story problem told that i should assume that 1 mile is 1.6 km

so 5km/hr is equal to 8m/h

i got it by multiplying 5 by 1.6 so i can change from the unit km to mile

so about the miles per 5 hours just multiply the 8 mph by 5 so it is 40

40miles per 5hrs

hope i made it clear

Answer:

c. no real solutions

Step-by-step explanation:

because:

1. 10+6x=15+9x-3x

6x+10=15+9x-3x

2. 6x+10=15+9x-3x

6x+10=15+6x

3. 6x+10=15+6x

6x+10=6x+15

4. 6x+10=6x+15

6x+10-10=6x+15-10

5. 6x=6x+5

6. 6x=6x+5

6x-6x=6x+5-6x

Then you get:

0=5

remember, If you want to know if an equation has no equation:

the constants are the numbers alone with no variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur. Use distributive property on the right side first.

I hope this helps      :)

Answer:

- 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplify [tex]\sqrt{18}[/tex] using this rule

[tex]\sqrt{18}[/tex]

= [tex]\sqrt{9(2)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex]

Then

- 2[tex]\sqrt{18}[/tex] + 2[tex]\sqrt{2}[/tex]

= - 2(3[tex]\sqrt{2}[/tex] ) + 2[tex]\sqrt{2}[/tex]

= - 6[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{2}[/tex]

= - 4[tex]\sqrt{2}[/tex]

Answer:

y = 0.01 * 2ˣ

Step-by-step explanation:

f(x) = xⁿ

0: 0.01 = 0.01 * 2⁰ = 0.01 * 1 = 0.01

1: 0.02 = 0.01 * 2¹ = 0.01 * 2¹ = 0.02

2: 0.04 = 0.01 * 2² = 0.01 * 2² = 0.04

Answer:

Step-by-step explanation:

The common denominator of these 2 fractions is 10.

Turn the mixed number 3 4/5 into an improper fraction which would be

19/5.

Then multiply the numerator and denominator with 2 to get the denominator to be 10.

19/5 x 2 = 38/10

Now turn 2 1/10 into an improper fraction= 21/10

Now subtract...

38/10 - 21/10 = 17/10

So Timberly spent 17/10  or  1 7/10 more hours then Misty at the gymnastics practice

Answer:

d = 14

43.96/3.14 = 14

hope that helps

Answer:

The diameter of the pizza should be 14.

Answer:

C (both)

step by step explanation:

Answer:

Step-by-step explanation:

Substitute the values of (x, y)

(1, 11)

(-1, -5)

Both pairs are solutions

Correct choice is C

Answer:

first 2, second 4, third 3, and the last one 1

Answer:

10 degrees

Step-by-step explanation:

sdfsdfs

The possible value of ∠L in ΔKLM is approximately 22 degrees.

Geometry is the study of two-dimensional and three-dimensional figures such as quadrilaterals, triangles, circles, their sides, and angles.

A square triangle is a diagram made by using the squares and the triangle simultaneously. Here in the image below you can see we can make the square triangle by using one square and three triangles.

To find the possible values of ∠L in triangle ΔKLM, we can use the Law of Cosines, which relates the sides and angles of a triangle:

c² = a²+ b²- 2abcos(C)

Where a, b, and c are the lengths of the sides of the triangle opposite to the angles A, B, and C, respectively.

In our case, we know that:

KL = l = 26 cm (the side opposite to ∠M)

KM = k = 56 cm (the side opposite to ∠L)

∠K = 22° (angle opposite to KL)

To find the length of LM (the side opposite to ∠K), we can use the Law of Cosines:

LM² = KL² + KM^2 - 2KLKMcos(K)

LM² = 26² + 56² - 2(26)(56)cos(22°)

LM ≈ 61.3 cm

Now we can use the Law of Sines, which relates the lengths of the sides and the opposite angles of a triangle:

a/sin(A) = b/sin(B) = c/sin(C)

In our case, we can use this formula to find the value of sin(∠L):

sin(∠L)/KM = sin(∠K)/LM

sin(∠L)/56 = sin(22°)/61.3

sin(∠L) ≈ 0.374

∠L ≈ arcsin(0.374)

∠L ≈ 22° (rounded to the nearest degree)

Therefore, the possible value of ∠L in ΔKLM is approximately 22 degrees.

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Step-by-step explanation:

[tex]2(6)( - 2) = \\ = 2( - 12) = \\ = - 24[/tex]

The rule says that the sum of any two sides has to be smaller than the third side so, no it can't

Answer:

36.4

Step-by-step explanation:

56x.35=19.6

56-19.6=36.4

Answer:

$46,479

Step-by-step explanation:

22% of 49478 is 10885.

You add them.

60363.

Then take 23% of that which is 13883.

Then subtract them.

$46,479

Hope this helps

Answer:

5$

Step-by-step explanation:

He has 15$. divide 15 by 3

Answer: 5

Step-by-step explanation:

15÷3= 5

Answer: 1/7

Step-by-step explanation:

Answer:

(4,2) (11,3)

Step-by-step explanation:

Answer:

For 1: C & D

For 2: A & C

(Do the Short answer on your own)

Step-by-step explanation:

We can always get the volume of the figure whenever we get enough data to recreate that considered figure, because it provides us with necessary measurements needed for finding the volume.

For finding volume of the considered figure, we somehow needs measurement of its correct dimensions by which we would be able to recreate the figure. By any means, if we could get enough measurement, then we'd be able to characterize the figure, and thus, get its volume.

Case 1. Could you use an inscribed prism to derive the volume of a hemisphere? Why or why not? Are there any other ways you could approximate a hemisphere, and what problems would you encounter in finding its volume?

Yes, if the prism fits perfectly, and we know about the prism, then it would tell us about the radius of the hemisphere. For example, we can fit a cubic prism inside it, and diagonal of that cube's base will give diameter of that hemisphere.

Case 2.Could you use a circumscribed regular n-gon as the base of a pyramid to derive the formula for the volume of a cone?

Yes, because the the base of the pyramid can give the details about radius of the cone's base, and due to the n-gon being regular and circumscribed, the height of the cone would be same as that of the height of that n-gon.

Thus, we can always get the volume of the figure whenever we get enough data to recreate that considered figure, because it provides us with necessary measurements needed for finding the volume.

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Answer:

In quadrilateral ABCD, A = (0, 0), B = (3, 2), C = (4, −2), and D = (3, −3). Describe the image of ABCD under the translation T<−4, 2> by dragging and dropping the vertices of ABCD to the corresponding vertices of T<−4, 2>(ABCD).

Step-by-step explanation:

The image of ABCD is formed by points [tex]A'(x,y) = (-4, 2)[/tex], [tex]B'(x,y) = (-1, 4)[/tex], [tex]C'(x,y) = (0, 0)[/tex] and [tex]D'(x,y) = (-1, -1)[/tex].

Vectorially speaking, a translation is defined by the following formula:

[tex]P'(x,y) = P(x,y) + T(x,y)[/tex] (1)

Where:

If we know that [tex]A(x,y) = (0,0)[/tex], [tex]B(x,y) = (3, 2)[/tex], [tex]C(x,y) = (4, -2)[/tex], [tex]D(x,y) = (3, -3)[/tex] and [tex]T(x,y) = (-4,2)[/tex], then the resulting points of the rectangle are:

[tex]A'(x,y) = (0, 0) + (-4, 2)[/tex]

[tex]A'(x,y) = (-4, 2)[/tex]

[tex]B'(x,y) = (3, 2) + (-4,2)[/tex]

[tex]B'(x,y) = (-1, 4)[/tex]

[tex]C'(x,y) = (4,-2) + (-4, 2)[/tex]

[tex]C'(x,y) = (0, 0)[/tex]

[tex]D'(x,y) = (3, -3) + (-4, 2)[/tex]

[tex]D'(x,y) = (-1, -1)[/tex]

The image of ABCD is formed by points [tex]A'(x,y) = (-4, 2)[/tex], [tex]B'(x,y) = (-1, 4)[/tex], [tex]C'(x,y) = (0, 0)[/tex] and [tex]D'(x,y) = (-1, -1)[/tex].

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