Cassie Goes to Buffalo Wild Wings with her 2 sister. It is her turn to pay for dinner. Because she is more generous than her sister, she decides to give a 25% tip to their sever. If in total she paid $70.15, what was the price of the food and drinks only?

Answer:

12√2

7√3

Step-by-step explanation:

The length of the hypotenuse of a 45°-45°-90° triangle with a leg of 12 is 12√2 and the length of longer leg is 7√3 for 30°-60°-90° triangle.

Right angled triangle are those triangle for which one of the angle is 90 degrees.

Ratio of the sides of a 45°-45°-90° triangle is 1 : 1 : √2.

That is,

If sides opposite to 45° = x, then the side opposite to 90° = √2 x

That is, length of the hypotenuse = √2 x

Given length of a leg = 12

Length of the hypotenuse = √2 × 12 = 12√2.

Ratio of the length of sides of 30°-60°-90° triangle is 1 : √3 : 2.

That is,

Length of side opposite to 30° = x

Length of side opposite to 60° = √3 x

Length of side opposite to 90° = 2x  (Hypotenuse)

We have to find the longer leg, that is √3 x.

Length of hypotenuse = 14

2x = 14 ⇒ x = 7

Length of longer leg = 7√3

Hence the lengths are 12√2 and 7√3.

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Answer:

2804

Step-by-step explanation:

2504 + 140 + 160 = 2804   (hint: add the 140 + 160 first. It sums up to 300 which is easy to add to 2504)

Answer:

6

Step-by-step explanation:

Degree of a polynomial is the degree of the monomial with the greatest degree, which in this case is 6x^6, so the degree of this polynomial is 6 because the x is raised to the 6th degree.

The degree of the polynomial 5x⁵-6x⁶ + 2 is 6.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

Given:

The polynomial,

5x⁵-6x⁶ + 2.

Here, we have the variable x.

And the highest power of a variable is a degree of a polynomial.

So, the degree of polynomial is 6.

Therefore, the degree of the polynomial is 6.

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Answer:

{x,y} = {1,2} I believe <3

Step-by-step explanation:

Answer:

3x - 2y = -1

  [2]    x + y = 3

Step-by-step explanation:

Answer:

in order from top to bottom

one solution

infinite solutions

no solution

Answer:

B. x = 65 because 109−44=65 and 44 + 65 = 109

Step-by-step explanation:

Given :

The triangle below :

Sum of interior angles of a triangle :

(44° + x + (180 - 109) = 180°

44° + x + 71° = 180

115° + x = 180°

x = 180° - 115°

x = 65°

Answer:

The relationship is that it might goes by 2

Answer:

Step-by-step explanation:

if 15 out of 60 markers are blue

the percentage is 15/60=1/4

0.25*100=25%

Answer: there parallel

Answer:

b. 9

Step-by-step explanation:

f(2) if f(x)=(x+1)^2

= (2 + 1)^2 = (3)^2 = 9

i hope its help

Answer:

17

Step-by-step explanation:

(7, 8)  (-8, 0)

First find how much the point moved in y to the second point.

8-0=8

So one side is 8.

Then find how much it moved in x. 7-(-8)=15

So the other side is 15

This will give you 2 sides of a triangle where one sides lenght is 8 the other is 15. Use the pythagoras theorem which is x squared plus y squared = c squared

8^2+15^2=c^2

64+225=c^2

289=c^2 Take the square root of both sides to solve for C

√289= √C^2

17 = c

Answer:

[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Answer :√5

Decimal form:2.23606797...

Step-by-step explanation:

Answer: 5/12

Step-by-step explanation:

Since the first customer bought 1/2 of the pan of brownies. This means that the pan of brownies left will be:

= 1 - 1/2

= 1/2

The The second customer bought 5/6 of what was left of the pan of brownies, the fraction that the second customer bought will be:

= 5/6 × 1/2

= 5/12

Answer:

5/12

Step-by-step explanation:

At a bake stall there is a large square pan of chocolate brownies. Customers can buy any fraction of the pan of brownies they like.

The first customer bought 1/2 of the pan of brownies.

The amount of brownies that was left over is given as:

1 - 1/2 = 1/2 brownies left ove

The second customer bought 5/6 of what was left of the pan of brownies.

The amount of brownies the second customers bought is calculated as:

5/6 of 1/2

= 5/6 × 1/2

= 5/12

What fraction of the whole pan did the second customer buy

Answer:

8 remainder 4

Answer:

Distance between the plane and the observer is 511.86 miles.

Step-by-step explanation:

From the figure attached,

A plane is flying at point A which is at 200 m height and observer is at point C.

Angle of elevation (∠ACB) of the plane from the observer is 23°.

Let the distance between the observer and the plane is x meters.

By applying sine ratio for angle C,

sin(∠C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(23°) = [tex]\frac{200}{x}[/tex]

x = [tex]\frac{200}{\text{sin}(23)}[/tex]

x = 511.86 miles

Therefore, distance between the plane and the observer is 511.86 miles.

you need to get the denominators to be the same

The closest one for both is 30

27/30 + 25/30 = 52/30

Simplify to get [tex]1 \frac{11}{15}[/tex]

Sum of [tex]\frac{9}{10}[/tex] and [tex]\frac{5}{6}[/tex] is equal to [tex]\boldsymbol{\frac{26}{15}}[/tex].

A summation, also known as a sum, is the outcome of adding numbers or quantities arithmetically. A summation always has an even number of terms.

Summation is the adding of a series of numbers known as addends or summands; the result is their sum or total.

Sum of [tex]\frac{9}{10}[/tex] and [tex]\frac{5}{6}[/tex] [tex]=\frac{9}{10} +\frac{5}{6}[/tex]

                          [tex]=\frac{27+25}{30}\\\\ =\frac{52}{30}\\\\ =\frac{26}{15}[/tex]

Therefore, sum of [tex]\frac{9}{10}[/tex] and [tex]\frac{5}{6}[/tex] is equal to [tex]\boldsymbol{\frac{26}{15}}[/tex]

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Answer:

8(x-4)

= 8x - 32

hope it helps

Answer:

135 Kilograms

Step-by-step explanation:

Alex = 105

Brian = 115

Carlton = 135

135

Answer:

.1?

Step-by-step explanation:

I'm sorry,not entirely sure. But i'm going to have to go with .1

Answer:

B. 8 1/5

Step-by-step explanation:

To find the value of n, we need to isolate it

13+5n = 54  Subtract both sides by 13

5n = 41         Divide both sides by 5

n =  8 1/5

Answer:

djdjfjfjfhfhfhd ch fmdknfrus M dnqjw

Answer:

Say you have y=2x. That is direct variation and will always pass through the origin when graphed. When x is multiplied by a number, the y value will also be changed by that number. If you add a y-intercept and change y=2x to, for example, y=2x+2, the x and the y will no longer be related by a constant ratio.

Step-by-step explanation:

Answer:

[tex]8.2 * 10^{-3}[/tex] is the greatest

2000 times greater

Step-by-step explanation:

Given

[tex]8.2 * 10^{-3}[/tex]

[tex]5.2 * 10^{-6}[/tex]

[tex]4.1 * 10^{-6}[/tex]

Solving (a): The greatest of the numbers

First, we convert them to decimals:

[tex]8.2 * 10^{-3} = 0.0082[/tex]

[tex]5.2 * 10^{-6} = 0.0000052[/tex]

[tex]4.1 * 10^{-6} = 0.0000041[/tex]

By comparing the decimal numbers, the highest is: 0.0082.

Hence,

[tex]8.2 * 10^{-3}[/tex] is the greatest

Solving (b): How many times greater than the smallest

In (a) above:

The greatest is: [tex]8.2 * 10^{-3}[/tex]

By comparing the decimal numbers,

The smallest is: 0.0000041 i.e. [tex]4.1 * 10^{-6}[/tex]

The number of times the greatest is greater than the smallest is:

[tex]Number = \frac{8.2 * 10^{-3}}{4.1 * 10^{-6}}[/tex]

[tex]Number = \frac{0.0082}{0.0000041}[/tex]

[tex]Number = 2000[/tex]

Hence, it is 2000 times greater

Answer:

6a^3 + 5a^2 - 6a - 2

Step-by-step explanation:

(4a^3 + 5a^2 - a + 1) - (5a - 2a^3 + 3)

Combine like terms

4a^3 - (-2a^3) = 6a^3 (- times - = +)

-a - 5a = -6a

1 - 3 = -2

Now combine the answers in standard form (don't forget the 5a^2)

6a^3 + 5a^2 - 6a - 2