All categories

3 years ago

13. The area of a rectangle is 991 cm². If 991

Mathematics

1 answer:

rosijanka [135]3 years ago

5 0

Answer:

see the explanation

Step-by-step explanation:

Let

L ---> the length of rectangle in cm

W ---> the width of rectangle in cm

The area of rectangle is

$A=LW$

$A=991\ cm^2$

$991=LW$ ---> equation A

we know that

Prime numbers only have factors of 1 and themselves.

So a rectangle with an area of 991 cm² can only be either

$W=1\ cm, L=991\ cm$ or $L=1\ cm, W=991\ cm$

You might be interested in

What is the midpoint of C(5,3 and D(-3,-6)

Nat2105 [25]

Answer:

Step-by-step explanation:

Midpoints of two coordinates is expressed using the formula;

M(X, Y) = (x2+x1/2, y2+y1/2)

Given the coordinates c(5,3) and d(-3,-6)

x1 = 5, y1 = 3, x2 = -3 and y2 = -6

X = x1+x2/2

X = 5+(-3)/3

X = 5-3/2

X = 2/2

X = 1

Also;

Y = y1+y2/2

Y = 3+(-6)/2

Y = 3-6/2

Y = -3/2

Y = -1.5

6 0

3 years ago

Shanna is planning a trip from Dallas, Texas, to San Diego, California. She knows that the distance she will travel is

enot [183]

Answer:

4.67 inches

Step-by-step explanation:

Shanna is planning a trip from Dallas, Texas, to San Diego, California.

She will travel about = 1,400 miles

The scale of a map is 300 miles = 1 inches

The trip of 1,400 miles = $\frac{1400}{300}$

= 4.66666 inches ≈ 4.67 inches

Her trip is 4.67 inches far on the map.

3 0

3 years ago

Find the first term and the common ratio third term =6 and seventh term= 96

mamaluj [8]

Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is: $a_n= a_1r^{n-1}$

We are given: third term = 6 i,e

$a_3=a_1r(3-1)\\6=a_1r^2----eq(1)$

Seventh term = 96

$a_7=a_1r(7-1)\\96=a_1r^6----eq(2)$

Dividing eq(2) and eq(3)

$\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}$

So, Common Ratio r = 2

Finding First term using eq(1)

$a_3=a_1r^2\\6=a_1(2)^2\\6=a_1(4)\\a_1= \frac{6}{4}\\a_1= \frac{3}{2}$

So, First term a₁ = 3/2 and common ratio r = 2

6 0

3 years ago

8(x - 6) +10 = 8x - 37 pls help answer

kirill115 [55]

Answer:

Its a no solution problem.

3 0

3 years ago

Read 2 more answers

Kyle is asked to solve a system of equations by substitution: 2x + 3y = 12 x - 2y = 4 which step should kyle take first? why?

murzikaleks [220]

The correct answer is C

8 0

4 years ago

Read 2 more answers