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3 years ago

Which fraction is equivalent? 1/6 5/30 6/30

Mathematics

2 answers:

gogolik [260]3 years ago

8 0

1/6 and 5/30 are equivalent. They are equivalent because is you divide 5/30 by 5, you will get 1/6.
Hope this helps!

Andreas93 [3]3 years ago

7 0

1/6 and 5/30 are both equivalent, this is because when you simplify 5/30 it come out to 1/6.

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Find the distance between the points (0,-8) and (3,2). Round your answer to the nearest hundredth.

Reil [10]

Answer:

10.44

Step-by-step explanation:

First plot each of the points on to a graph at their respective positions.

Following that create a 90° triangle out of the points. This will create a 3 by 10 triangle. (3 to 0 is 3) (-8 to 2 is a difference of 10)

You can then use the pythagorean theorem $a^{2} +b^{2} = c^{2}$ .

Insert the lengths of each of the sides that we got earlier which would be 3 and 10 into the equation. $3^{2} + 10^{2} = c^{2}$

Since we want to find the hypotenuse which is equal to c we work the equation to 9+100 = $c^{2}$ which in turn is 109 = $c^{2}$

Then take the square root of 109 to remove the square from the c to get c = 10.44

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3 years ago

What is the area of the figure below? Use 3.14 for pi. Round your answer to the nearest hundredth.

sammy [17]

Answer:

area of the figure ≈61.23 cm² to the nearest hundredth

Step-by-step explanation:

To find the area of the figure, we will follow the steps below;

Looking at the figure, we will see that the figure comprises of both semi-circle and a parallelogram

area of figure = area of semicircle + area of parallelogram

first, we will find the area of the semi-circle

area of a semi-circle = πr² /2

from the diagram given, diameter = 7cm

but diameter = 2r, this implies that radius r = d/2, hence radius r = 7/2 = 3.5 cm

π = 3.14

Lets insert the values into the formula

area of a semi-circle = πr² /2

=3.14×3.5² /2

=3.14×12.25 /2

=19.2325 cm²

Area of a parallelogram = b×h

where b = base and h = height

from the figure given, base b = 7cm and height h = 6 cm

Lets insert the values into the formula

Area of a parallelogram = b×h

= 7×6

=42 cm²

area of the figure = area of semicircle + area of parallelogram

=19.2325 cm² + 42 cm²

=61.2325 cm²

≈61.23 cm² to the nearest hundredth

area of the figure ≈61.23 cm² to the nearest hundredth

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3 years ago

The functions fand g are defined as follows.

Rudik [331]

Answer:

Step-by-step explanation:

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3 years ago

Find the quotient.<br><br> 54÷1112 =

Dvinal [7]

Answer: 0.0485610791367

Step-by-step explanation:

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3 years ago

A spinner is divided into 8 section of equal size. The sections are numbered 1 through 8. Use this information to determine the

olga_2 [115]

1) 1/8

2) 1/2

Step-by-step explanation:

First of all, we notice that the spinner is divided into 8 sections of equal size.

So the number of sections is

n = 8

Secondly, we note that each section has the same size: this means that the probability of the spinner landing on each section is the same.

The probabilty of a certain event A to occur is given by

$p(A)=\frac{a}{n}$

where

a is the number of successfull outcomes (in which A occurs)

n is the total number of possible outcomes

Here we want to find

$p(7)$ = probability that the spinner lands on section 7

Here we have:

$a=1$ (only 1 outcome is successfull: the one in which the spinner lands on section 7)

$n=8$

Therefore, the probability is

$p(7)=\frac{1}{8}$

Here we want to find the probability that the spinner lands on an even numbered section.

As before, the total number of possible outcomes his:

$n=8$

which corresponds to: 1, 2, 3, 4, 5, 6, 7, 8

The even-numbered sections are:

2, 4, 6, 8

So, the number of successfull outcomes is

$a=4$

Because there are only 4 even-numbered sections.

Therefore, the probability that the spinner lands on an even numbered section is:

$p(e)=\frac{a}{n}=\frac{4}{8}=\frac{1}{2}$

8 0

3 years ago