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3 years ago

ILL MARK BRAINLIEST HELP!!!!

Mathematics

1 answer:

stepan [7]3 years ago

5 0

Answer:

Step-by-step explanation:

let EFH = x

Let GFH = y

x + y = 90

x = 2y

Substitute: 2y + y = 90

3y = 90

y = 30

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Write this decimal as a fraction. 0.45 repeating

sergij07 [2.7K]

Answer:

= 45/99 (since 45 is the repeating part of the decimal and it contains 2 digits). We can divide both the top and bottom parts by 9 to find that 0.454545… = 45/99 = 5/11.

Step-by-step explanation:

Hope this helps!

8 0

2 years ago

Read 2 more answers

A radioactive substance decreases in the amount of grams by one-third each year. If the starting amount of the

katovenus [111]

Answer:

The sequence is geometric. The recursive formula is $a_{n}=2/3a_{n-1}$

Step-by-step explanation:

In order to solve this problem, you have to calculate the amount of the substance left after the end of each year to obtain a sequence and then you have to determine if the sequence is arithmetic or geometric.

The substance decreases by one-third each year, therefore:

After 1 year:

$1452-\frac{1}{3}(1452)$

Using 1452 as a common factor and solving the fraction:

$1452(1-\frac{1}{3})=1452(\frac{2}{3})=968$

You can notice that in general, after each year the amount of grams is the initial amount of the year multiplied by 2/3

After 2 years:

$968(\frac{2}{3})=\frac{1936}{3}$

After 3 years:

$\frac{1936}{3}(\frac{2}{3})=\frac{3872}{9}$

The sequence is:

1452,968,1936/3,3872/9....

In order to determine if the sequence is geometric, you have to calculate the ratio of two consecutive terms and see if the ratio is the same for all two consecutive terms. The ratio is obtained by dividing a term by the previous term.

The sequence is arithmetic if the difference of two consecutive terms is the same for all two consecutive terms.

-Calculating the ratio:

For the first and second terms:

968/1452=2/3

For the second and third terms:

1936/3 ÷ 968 = 2/3

In conclussion, the sequence is geometric because the ratio is common.

The recursive formula of a geometric sequence is given by:

$a_{n}=ra_{n-1}$

where an is the nth term, r is the common ratio and an-1 is the previous term.

In this case, r=2/3

7 0

2 years ago

Find the equation of the circle with center at the origin that contains the point (-8,6)

Katena32 [7]

The center is at origin O(0,0).
If it contains the point, P(-8,6), then the radius r is, by Pythagoras theorem,
r=sqrt((-8)^2+6^2)=10

The general equation of a circle at centre (xc,yc) with radius r is given by
(x-xc)^2+(y-yc)^2=r^2

Substituting r=10, (xc,yc)=(0,0)
the resulting equation is therefore

(x-0)^2+(y-0)^2=10^2
or simply
x^2+y^2=100

3 0

3 years ago

Help me pls pls i am struggling i will give u brainliest

s2008m [1.1K]

<em>Answer:</em>

<em>Hello There. The answer is 268</em>

Explanation

He spend £140 for 60 jumper

He sells 40%of jumper at £8 for each.

40%of 60

= 40/100 × 60

= 24 jumper

=sells at £8

= 24 ×8 =£192

After ,he sell buy 1 get one half price offer.

Ryan have 60% jumper of 60

= 36/2×8 +36/2×4

=144 + 72

= £216

Total earning= £192 + £216

=£408

So, profit = 408 - 140 = £268

Hope It Helps!

<h3>ItsNobody</h3>

3 0

2 years ago

s there a dilation that maps shape II onto shape I? If so, what is the scale factor and is it an enlargement or a reduction?

Agata [3.3K]

Answer:

Enlargement.

Scale Factor: 3

Step-by-step explanation:

Use points to find the enlargement. Typically, you will use all the points.

A(1 , 1) ⇒ A'(3 , 3)

B(2 , 1) ⇒ B'(6 , 3)

C(1 , 2) ⇒ C'(3 , 6)

D(2 , 2) ⇒ D'(6 , 6)

To find the scale factor, simply divide the Point' with the original Point. Use any number.

A'(3 , 3)/(A(1 , 1)) = 3

B'(6 , 3)/(B(2 , 1)) = 3

C'(3 , 6)/(C(1 , 2)) = 3

D'(6 , 6)/(D(2 , 2)) = 3

Your scale factor is 3.

7 0

2 years ago