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tekilochka [14]
2 years ago
11

Question 11 the length of a rectangle is six times its width. if the perimeter of the rectangle is 98 m , find its area.

Mathematics
1 answer:
andrezito [222]2 years ago
4 0
Let's look at the formula to solve the perimeter.
2l+2w=98
We know that l=6w
Let's put that into the equation.
2(6w)+2w=98
12w+2w=98
14w=98
98÷14=7
So the width is 7. Let's find the length.
Since the length is six times the width: 7×6= 42
So, the length is 42 while the width is 7. We need to find the area.
42×7=294
The area is 294 m².
Tell me if this helps!!
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algol [13]

The range of the sprinkler will be the area of a circle with a radius of 40 feet.

area of circle = \pi r^{2}

area of circle = \pi (40^{2})

area of circle = 1600\pi = 5026.55 ft^{2} approx.

answer: 5026.55 ft^{2} approx.

7 0
3 years ago
Read 2 more answers
Use elimination method to solve the silmutaneous equations<br> 2x +3y=1<br> 3x=2y+8<br> (4marks)
kotegsom [21]

Answer:

2x +3y=1⇒equation 1

3x=2y+8

3x-2y=8⇒equation 2

by elimination method,

2x+3y=1 ×2

3x-2y=8 ×3

4x+6y=2

9x-6y=24

cut 6y and -6y

4x+6y=2

9x-6y=24

---------------

13x+0=26

13x=26

x=26/13

x=2

substitute x=2 in equation 1

2(2)+3y=1

4+3y=1

3y=1-4

3y=-3

y=-3/3

y=-1

therefore, x=2 and y=-1

hope it helps u!

6 0
3 years ago
What is the value of t?
solmaris [256]

Answer:

A) t = -3

Step-by-step explanation:

We have the expression \frac{(t-12)}{2}=\frac{3t}{2}-3 and we have to find the value of t.

First we are going to reorder the expression:

\frac{(t-12)}{2}=\frac{3t}{2}-3\\\\3=\frac{3t}{2}-\frac{(t-12)}{2}\\\\3=\frac{3t-t-(-12)}{2}\\\\3=\frac{2t+12}{2}

Now we have to multiply each side by 2,

3=\frac{2t+12}{2}\\\\3.2=\frac{2t+12}{2}.2\\\\6=2t+12

Subtract (-12) in both sides,

6=2t+12\\6-12=2t+12-12\\-6=2t

Divide both sides in 2,

-6=2t\\\frac{-6}{2} =\frac{2t}{2} \\-3=t

The answer is option A) t = -3.

6 0
3 years ago
Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solutio
madreJ [45]

Answer:

{16, +infinity}

Step-by-step explanation:

Represent the number with n

Required

Find the solution set

From the question, we have that;

4½n - 9½ > 62.5

Convert all numbers to decimal

4.5n - 9.5 > 62.5

Add 9.5 to both sides

4.5n - 9.5 + 9.5 > 62.5 + 9.5

4.5n > 72

Multiply both sides by 2

2(4.5n) > 72 * 2

9n > 144

Multiply both sides by ⅑

⅑ * 9n > 144 * ⅑

n > 16

This implies that n ranges to infinity from positive 16;

Hence, the correct answer is {16, +infinity}

4 0
2 years ago
Read 2 more answers
NEED HELP YOU GUYS!!!!
AURORKA [14]

Answer:

x1=

\frac{ - 2 +  \sqrt{100} }{ - 48}

x2=

\frac{ - 2 +  \sqrt{100} }{ - 48}

5 0
3 years ago
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