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Bingel [31]
2 years ago
11

Given that

Mathematics
1 answer:
Mekhanik [1.2K]2 years ago
8 0

Step-by-step explanation:

R = 3x + 9y

When y = 6 and R = 7

7 = 3x + 9.6

7 = 3x + 54

7 - 54 = 3x

-47 = 3x

x = -47/3

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If the diagonal of a square is approximately 12.73, what is the length of its sides?
Alja [10]

Answer:

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

D^{2} = L^{2} + L^{2}

Solving further, we have

D^{2} = 2L^{2}

Divide both sides by 2

\frac{D^{2}}{2} = \frac{2L^{2}}{2}

\frac{D^{2}}{2} = L^2

Take Square root of both sides

\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}

\sqrt{\frac{D^{2}}{2}} = L

Reorder

L = \sqrt{\frac{D^{2}}{2}}

Now, the value of L can be calculated by substituting 12.73 for D

L = \sqrt{\frac{12.73^{2}}{2}}

L = \sqrt{\frac{162.0529}{2}}

L = \sqrt{{81.02645}

L = 9.001469325

L = 9.0015 (Approximated)

Hence, the length of the sides of the square is approximately 9.0015

7 0
3 years ago
What is 1.3333333 as a fraction ?
denis23 [38]
The answer is 1 3/9. The reason is because it repeats 3 so it would be 9 at the bottom.
8 0
3 years ago
Read 2 more answers
Which sequence follows the rule 2n + 6, where n represents the position of a term in a sequence? 6, 8, 12, 18, . . . 6, 12, 18,
melamori03 [73]

ANSWER

8, 10, 12, 14, . . .

EXPLANATION

The given rule for the sequence is :

f(n)=2n+6

The domain for a sequence is the set of natural numbers.

When n=1,

f(1)=2(1)+6=8

When n=2,

f(2)=2(2)+6=10

When n=3,

f(3)=2(3)+6=12

When n=4,

f(4)=2(4)+6=14

Therefore the sequence that follows the given rule is

8, 10, 12, 14, . . .

8 0
3 years ago
I need help
Jobisdone [24]

Answer:

the answer is 2 seconds,60 feet,4 seconds,0 feet

8 0
2 years ago
PLEASE PLEASE HELP!!!!!!!! WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER! REALLY NEED HELP!
ikadub [295]
The formula for compound interest is A=P(1+r/n)^nt, where n is the number of times an item is being compounded over the length of t, an amount of time, r is the rate of increase, and P is the principle amount (initial amount).

Our Principal, or initial amount is 600,000 and our rate of change is found by
dividing any number in the sequence by another number that is placed lower in the sequence, For example:
<u>r=69000/60000=1.15</u>
We are not given n, so our equation is 600,000(1.15)^n-1

:)
7 0
3 years ago
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