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mezya [45]
3 years ago
7

Find the area of a parallelogram with a base of 12cm and a height of 5cm. Giving your answer in square meters​

Mathematics
2 answers:
Bond [772]3 years ago
5 0
The answer will be 0.6Meters
lisov135 [29]3 years ago
5 0
Answer: 0.6 cm


Explanation:
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Y varies inversely with x, and k (the constant of variation) = 1.24. What is the value of y when x = 4.96?
V125BC [204]

Answer:= y = 0.25 to the nearest hundredth.

Step-by-step explanation:

In inverse variation, both variables move in opposite directions. This means that as variable 1 increases, variable 2 reduces and as variable 1 reduces, variable 2 increases.

Y varies inversely with x.

So as y increases, x reduces and as y reduces, x increases.

We would proceed by introducing a constant of variation, k

y = k/x

From the information given,

The constant of variation, k = 1.24

The value if x = 4.96

To find the value of y

y = k/x = 1.24/4.96

= 0.25 to the nearest hundredth.

6 0
3 years ago
For the function y = -2x + 20, what is the output when the input is 50.
Irina18 [472]

Answer:

y = -2(50) + 20  

y = -100 + 20 = -80

7 0
3 years ago
Anthony Patella earns $325 a week working part-time at his uncle's restaurant. How much does he make in a
GaryK [48]
Anthony earns $16,958.5 in a year because,since there is 52.18 weeks in a year, you have to multiply 52.18 x $325 to find out how much money he made in a year.
6 0
3 years ago
What is Permutations and Combinations?
marissa [1.9K]

Answer:

See below

Step-by-step explanation:

Permutation is to select an object then arrange it and it cares about the orders while Combination is about only selecting an object without caring the orders.

Permutation can be expressed in math as:

\displaystyle{_n P _r = \dfrac{n!}{(n-r)!} \ \ \ (n \geq r) }

where n is a number of total object and r is a number of selected object to arrange. Hence. n cannot be less than r.

Now let's see an example of permutation, suppose we have letter A, B and C. I'd like to know how many ways these words can be arranged:

Since there are 3 letters total and 3 selected letters to arrange then:

\displaystyle{_3 P _3 = \dfrac{3!}{(3-3)!}}\\\\\displaystyle{_3 P _3 = \dfrac{3 \times 2 \times 1}{0!}}\\\\\displaystyle{_3 P _3 = \dfrac{6}{1}}\\\\\displaystyle{_3 P _3 = 6}

Therefore, there are 6 ways to arrange the letters - we can also demonstrate visually:

ABC - 1

ACB - 2

BAC - 3

BCA - 4

CAB - 5

CBA - 6

Notice that if you do visually, you'll get the same answer as the calculation of permutation!

----

Combination can be expressed mathematically as:

\displaystyle{_n C _r = \dfrac{n!}{(n-r)!r!} = \dfrac{_n P _r}{r!} \ \ \ (n \geq r) }

The difference between permutation and combination is that you only find how many ways you can select object in combination. Therefore, no arrange and doesn't care about order, just ways to select.

Suppose we have same 3 letters: A, B and C. I want to find how many ways I can select these 3 letters:

Since there are 3 letters total and 3 selected letters:

\displaystyle{_3 C _3 = \dfrac{3!}{(3-3)!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{0!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{3!}}\\\\\displaystyle{_3 C _3 = 1}

Hence, there is only one way to select 3 letters. This makes sense because if you have 3 letters then you can only select 3 letters only one way.

5 0
2 years ago
Solve the following equation for y.
labwork [276]

Answer:

17

Step-by-step explanation:

2y+2=36

Let's solve this equation for 2y first.  This means get 2y by itself.

So to get 2y by itself I need to undo that addition of 2 next to it.

The inverse operation of addition is subtraction.

I'm going to subtract 2 on both sides:

2y      =36-2

2y      =34

Now we want to get y by itself so we divide both sides by 2 since division and multiplication are inverse operations:

 y=        34/2

 y=        17

3 0
3 years ago
Read 2 more answers
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