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bulgar [2K]
3 years ago
12

The area of one rectangle is twice the area of another. What is the ratio of their perimeters

Mathematics
1 answer:
Veronika [31]3 years ago
6 0

Answer:

The answer is 8 units! Hope this helps!

Step-by-step explanation:f the length of any one side of the square is x, then the area is x2, and the perimeter is 4x. If the area is twice the perimeter, x2 = 2(4x), and x2 − 8x= 0. By factoring, we see this equation is equivalent to x(x − 8) = 0, which has solutions 0 and 8. The length cannot be 0, so it must be 8 units.

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An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.
Allisa [31]

Answer:

329.5

Step-by-step explanation:

From the table we see that the common difference d = 0.5 - (-6.5)

= 7, and 7.5 - 0.5 = 7. Also 14.5 - 7.5 = 7.

The first term a1 = -6.5.

The nth term = a1 + (n - 1)d  so for our sequence we have:

49th term =  -6.5  + (49 - 1)7

= -6.5 + 48 * 7

= -6.5 + 336

= 329.5   (answer).

4 0
3 years ago
Mark borrowed $600 at an intrest rate of 8% per year for 4 years. How much simple intrest will he have to pay?
miv72 [106K]

Answer:

He will have to pay $192 in simple interest.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the interest, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this problem, we have that:

P = 600, r = 0.08, t = 4

So

E = P*I*t = 600*0.08*4 = 192

He will have to pay $192 in simple interest.

6 0
3 years ago
What is the solution to the following system of equations?<br><br> x+y=5<br> x-y=1<br> step by step
Andreas93 [3]
x+y=5
-x -x

Equals:

y=-x+5

Now you have:

y=-x+5
x-y=1

Insert -x+5 into y

x-x+5=1

Combine like terms

2x+5=1

Subtract 5.

2x=-4

Divide 2.

Answer: x=-2

8 0
3 years ago
The area of a triangle is 16 square units. The base of the triangle is x+4. The height of the triangle is x. Find x.
OLga [1]
The area of triangle formula is A = B*H  / 2
so it means 16 square = (<span>x+4) x /2
so x²+4x -32=0, D' = 2²- (-32)= 36, sqrt of D' = 6
so x = -2 -6 = -8 or x= -2 +6 = 4
x must be positive so x = 4</span>
5 0
3 years ago
What is the remainder when the polynomial f(x)=3x^3-4x^2+2x+8 is divided by (x-5)
allsm [11]

Answer:

remainder = 290

Step-by-step explanation:

\frac{3x^3-4x^2+2x+8}{x-5}

= 3x² + 11x + 57 + \frac{290}{x-5}

quotient = 3x² + 11x + 57 and remainder = 290


6 0
3 years ago
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