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2 years ago

In a pizza restaurant, you can get a basic pizza with two toppings: cheese and tomato.

Mathematics

1 answer:

poizon [28]2 years ago

7 0

The number of different topping combination illustrates combination

Ross have 6 different topping combination to select from

<h3>The number of different combination</h3>

The given parameters are:

Extra toppings, n = 4

Toppings to select, r = 2

The number of extra topping that Ross can select is then calculated using the following combination formula

Toppings = nCr

This gives

Toppings = 4C2

Evaluate the combination expression

Toppings = 6

Hence, Ross have 6 different topping combination to select from

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Which of the following is the equation for the graph shown?a. x^2/144+y^2/95=1b. x^2/144-y^2/95=1c. x^2/95+y^2/144=1d. x^2/95-y^

Andrews [41]

e follSOLUTION

Given the question in the image, the following are the solution steps to answer the question

STEP 1: Write the general equation of an ellipse

$\frac{\mleft(x-h\mright)^2}{a^2}+\frac{(y-h)^2}{b^2^{}}=1$

STEP 2: Identify the parameters

the length of the major axis is 2a

the length of the minor axis is 2b

$\begin{gathered} 2a=24,a=\frac{24}{2}=12 \\ 2b=20,b=\frac{20}{2}=10 \end{gathered}$

STEP 3: Get the equation of the ellipse

$\begin{gathered} By\text{ substitution,} \\ \frac{(x-h)^2}{a^2}+\frac{(y-h)^2}{b^2}=1 \\ \frac{(x-0)^2}{12^2}+\frac{(y-0)^2}{10^2}=1=\frac{x^2}{144}+\frac{y^2}{100}=1 \end{gathered}$

STEP 4: Pick the nearest equation from the options,

Hence, the equation of the ellipse in the image is given as:

$\frac{x^2}{144}+\frac{y^2}{95}=1$

OPTION A

8 0

1 year ago

Answer the following questions about 2 numbers chosen from the numbers 1 through 12 (including 1 and 12): Suppose the numbers ar

Nana76 [90]

Forts then you take the 1-6 to get the money back and get your credit

3 0

2 years ago

I need help with 5! Please and thank you!!

11111nata11111 [884]

Answer:

116.87

Step-by-step explanation:

$c = \pi \: \: r = 2 \times \pi \times 18.6 = 116.87$

6 0

3 years ago

What do you know to be true about the values of p and q?

artcher [175]

Answer:

p = q

Step-by-step explanation:

Angles in a triangle add up to 180°

For the left triangle:

180 = p + 20 + 80

p = 80

For the right triangle:

180 = q + 45 + 55

q = 80

Therefore, p = q

3 0

2 years ago

Read 2 more answers

Solve<br> 7x+2y=16<br> 5x-2y=20<br> x= y= <br><br> (3 marks)

sasho [114]

X=3 and y=-5/2. Here is why, when we do 7x+5x that gives us 12x. -2y+2y=0 and then we have 16 plus 20 which gives us 36. Now we gotta isolate x which right now we have 12x=36. Therefore divide by 12 to get x alone, which 36 divided by 12 is equal to 3. X=3. Plug it back into the equation, 7(3)=21 plus 2y=16. Subtract 21 from both sides 16-21 is equal to -5. Then 2y=-5 divide by 2 on both sides you will have -5/2=y or y=-5/2. Hope this helps!

8 0

2 years ago