Answer:
756
Step-by-step explanation:
This is a combination problem. Combination has to do with selection.
If we are to select r objects out of a oiil of n objects, this can be done in nCr number of ways as shown;
nCr = n!/(n-r)!r!
From the question, there are 4 meats and 9 vegetables to choose from. If the customer is to select 2 different meats and 4 different vegetables from the available ones, this can be done as shown
4C2 (selection of 2 different meats from 4meats) and 9C4(selection of 4 different vegetables from 9 total vegetables)
The total number of ways this can be done is 4C2 × 9C4
= 4!/(4-2)!2! × 9!/(9-4)!4!
= 4!/2!2! × 9!/5!4!
= 4×3×2!/2!×2 × 9×8×7×6×5!/5!×4×3×2
= 6 × 9×7×2
= 756ways
This means 756 different supreme choice pizzas can be made.
Answer:
16
Step-by-step explanation:
Referring to the diagram, we can use Pythagoras' Theorem to find ZY. (which is the distance from Point Y to WX)
By Pythagoras' Theorem,
9. well to set it up you would start with making an equation.
$7.95x + $8.95x = $1036.75
then you would combine like terms and divide.
7.95+ 8.95= $16.90
then you would divide $1036.75 by $16.90
=$66.46
10. complementary means both =90o
start by dividing 90 by 2= 45
then it says 12 less then twice the measure
so 45*2= 90 and 90- 12 is 78
so angle 1 = 45
angle 2 = 33
Area of any quadilateral = 1/2 × product of diagonals
Area = 1/2 × 24 × 18 = 216 cm²
We can find the length of sides using cosine rule.
It states :
C² = a² + b² - 2ab × cosc
Where a, b are the two sides and c is the angle between them . C is the side opposite to tt angle.
C²= 9² + 12² - 2 × 9 × 12 × cos40⁰
C² = 81 + 144 - 2 × 9 × 12 × 0.8
C² = 225- 172.8
C=
C=7.2 cm
Thus one side = 7.2 cm
Similarly in other triangle
C² = 12² + 9² - 2 × 12 × 9 × cos140⁰
C² = 12² + 9² - 2 × 12 × 9 × -0.8
C² = 144 + 81 + 172.8
C² =
C = 20.2 cm
Hence the 2 sides are 7.2 cm and 20.2 cm . Other sides are opposite to them and thus have same measure
Answer:
-7, -2, 1, 6
Step-by-step explanation:
<u>The points that are on the number line are: -7, -2, 1, 6</u>
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Answer: -7, -2, 1, 6