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avanturin [10]
4 years ago
13

10.2 divided by (unknown number)= 0.8. Find the unknown number

Mathematics
2 answers:
NeTakaya4 years ago
8 0

Answer:

x = 12.75

Step-by-step explanation:

10.2 : x = 0.8

x = 10.2 : 0.8

= 102/10 : 8/10

= 102/10 × 10/8

= 102/8

= 12.75

schepotkina [342]4 years ago
7 0

Answer:

12.75

Step-by-step explanation:

if 10.2 /y= 0.8,

then 10.2/y = 0.8/1.

( cross multiply ), we have that

10.2*1=9.8*y

so,10.2=0.8y

(divide both sides by the coefficient of y)

y=10.2/0.8

y = 12.75

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8 0
4 years ago
What figure is a dilation of figure a by a factor of three
Umnica [9.8K]

Answer:

D, the bottom right

Step-by-step explanation:

A dilation by a factor of 3 would have values 3 times larger. So the original which has side lengths 2, 6, and 3 would become

2*3 = 6

6*6 = 36

3*6 = 18

The figure which has these measurement is D or the bottom right.

3 0
3 years ago
Johnnie begins a regullar walking program as a art of his new exercise routine. The first week he walks a distance of 5 km, 8 km
loris [4]

a) Explain why this sequence is an arithmetic sequence.

It is an arithmetic progression since it is a succession of numbers such that the difference of any pair of successive terms in the sequence is constant, in this case, it is 3.

b) Write out the sequence using blanks where appropriate.

Week|Distance

   1           5

   2          8

   3          1 1

   4          14

    .           .

    .           .

    .           .

c) Write the explicit formula for the sequence.

an = a1 + d*(n -1)

an = 5 + 3*(n - 1)

an = 5 + 3*n  - 3

an = 3*n + 2

d) How far will the patient walk during the 12th week?

a12 = 3*12 + 2

a12 =  38

that is to say, in that week I walk 38 km

8 0
4 years ago
A regular hexagon has a radius of 20in. What is the approximate area of the hexagon
Wittaler [7]

Answer:

A= 1038 in²....

Step-by-step explanation:

There are several ways to find the area of a regular hexagon

In a regular hexagon, split the figure into triangles.

Find the area of one triangle.

Multiply this value by six.

We will apply the formula of area of regular polygon:

A= 1/2r²nsin(360/n)

r = radius

n = number of sides of the regular polygon

We know that,

r= 20 in

n= 6

Now substitute the values in the formula:

A= 1/2(20)²(6)sin(360/6)

A= (20)²(3)sin(360/6)

A= (20)²(3)sin(60)

A=3*(20)² *√3/2

A= 1200 * √3/2

A= 600*√3

A= 1038 in²....

Therefore the approximate area of hexagon is 1038 in²....

8 0
4 years ago
Read 2 more answers
Jason is 2017 federal income tax is $3,500. He entitled to a $1,000 tax credit which reduces the amount of his tax bill to what
Sergeu [11.5K]

Answer:

The amount of his tax bill is <u>$2,500</u>.

Step-by-step explanation:

Given:

Jason is 2017 federal income tax is $3,500.

He entitled to a $1,000 tax credit.

Now, to find the tax bill.

Amount of income tax = $3,500.

Tax credit = $1,000.

Thus, by subtracting the tax credit from income tax amount we get the amount of Jason tax bill:

3500-1000

=2500.

Therefore, the amount of his tax bill is $2,500.

8 0
4 years ago
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