MATHEMATICS HIGH SCHOOL

FIVE
What is the area of a parallelogram with base length 12 m and height 9 m?

Answers

Answer 1
Answer:

Answer:

The Area is 108

Step-by-step explanation:

A=bh

A=12 × 9

A=108
Answer 2
Answer:

Answer:

108 meters^2

Step-by-step explanation:

The area of a rectangle can be found using:

a=Bh

We now the base is 12, and the height is 9, so we can substitute them in

a=12*9

a=108

The area is 108 meters^2

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The system of equations is coincident. What are the missing values?

-2x+5y=-12
-6x+____y=____

Answers

the equation is
-6x+15y=36, and you get the answer by multiplying the first equation by 3

Gold in the form of solid cylinders will be molded into solid blocks. Each cylinder has a diameter of 6.19 cm and a height of 6 cm. Each solid block will have a volume of 360 cm3. How many cylinders of gold will it take to mold one block of gold?

Answers

so volume of a cylinder=area of top circle times height or
pi times radius^2 times height
diameter=2 times radius
diameter times 1/2=radius
6.19/2=radius=3.095
pi times 3.095^2 times 6=177.077
so volume of cylinder=177.08
volume of gold=360
so
x cylinders=1 solid block
diviide both sdies by cylinder
x=block/cylinder
block=360
cylinder=177.08
360/177.08=2.03
so aprox 2.03 cylinders will make one block
round down since 0.03 is nigligible
the answer is 2

Which expression is equivalent to x4 -y4

Answers

factorise

in this case the common factor is 4
so, 4(x-y)

What is the value of b^2 0 4ac for the following equation?2x^2 0 2x 0 1 = 0
04
0
12

Answers

2x^2 - 2x - 1 = 0 a = 2, b = -2, c = -1 b^2 - 4ac = (-2)^2 - 4(2)(-1) = 4 + 8 = 12
so the answer is 12

Marcus is selling lemonade and peanuts. Each cup of lemonade costs $0.75, and each bag of peanuts costs $0.35. On Saturday, Marcusvsold 5 more cups of lemonade than bags peanuts. He earned $7.05. How many cups of lemonade did Marcus sell on Saturday rc

Answers

Marcus is selling lemonade and peanuts.
Let X = lemonade
Let Y = peanuts

On Saturday, Marcus sold 5 more cups of lemonade than bags of peanuts
So, X = Y + 5 and he earned 7.05

Forming the equation.
[(Y+5)*0.75] + (Y*0.35) = 7.05
0.75Y + 3.75 + 0.35Y = 7.05
1.1Y = 7.05 - 3.75
1.1Y = 3.3
Y = 3

So the number of cups of lemonade is Y + 5 = 3 + 5 = 8
So there are 8 cups.

How is 21\30 bigger then 2\3

Answers

To see how 2/3 is larger than 21/30, it helps to put them in terms of the same denominator. To do this, we can multiply 2/3 by 10/10, which gives us 20/30.

Now it is easy to see that 21/30 is indeed larger than 2/3, which is equal to 20/30.
3x10=30 
2x10=20, so 21 over 30 is a little bigger

Also

When you divide 21/30 you get 0.7 and when you divide 2/3 then you 0.66667 which shows that 21/30 is greater than 2/3 
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