MATHEMATICS HIGH SCHOOL

The length of a rectangle is 2 more than 3 times the width. If the perimeter is 100 meters, what is the width of the rectangle?a. 13 meters
b. 12 meters
c. 11 meters

Answers

Answer 1

Answer:

Answer: 12 meters

Step-by-step explanation:

Let the width of the rectangle be w.

Then the length of the rectangle will be 2+3w

We know that the perimeter of a rectangle is given by :-

$\text{P}=2(l+w)$ , where l is length and w is width of the rectangle.

Now, according to the question, we have

$2(w+2+3w)=100\n\n\Rightarrow2(2+4w)=100\n\n\Rightarrow\ 4+8w=100\n\n\Rightarrow\ 8w=96\n\nRightarrow w=12\ \text{meters}$

Hence, the width of the rectangle = 12 meters

Answer 2

Answer: The correct answer is 12 meters. Hope that helps!

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Can anyone please help ????? And if you do thank you

Answers

Answer:

a/b

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hypotenuse

sin C = a/b

Answer:

Step-by-step explanation:

On paper, Soh Cah Toa can help you remember how to do this stuff

Factor completely x^2 - 4x - 12
Explain the steps.
^ = to the power of

Answers

Well x^2 is the same as x-squared (I don't know how to type it).
So to start off, you have x-squared-4x-12
Then you just have to combine the x's, and 1x-4x=-3x
so your final answer would be -3x-squared-12

If a right angle triangle has a hypotenuse of length 13 units and a leg of length 7 units, what would be the length of the other leg?

Answers

The length of the other leg of a right angle triangle is, 10.95 units

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

A right angle triangle has a hypotenuse of length 13 units and a leg of length 7 units.

Now, By the Pythagoras theorem, we get;

⇒ Hypotenuse² = Perpendicular² + Base²

⇒ 13² = 7² + Base²

⇒ 169 = 49 + Base²

⇒ Base² = 169 - 49

⇒ Base² = 120

⇒ Base = √120

⇒ Base = 10.95 units

Learn more about the triangle visit;

brainly.com/question/1058720

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Pythagorean theorem: A² + B² = C²
(7)² + B² = 13²;
49 + B² = 169;
B² = 130;
B = 11.40
The length of the other leg is 11.40.

A student skipped a step when she tried to convert 15 hours to seconds, and she got the following incorrect result:

Answers

The easiest and systematic way of answering this type of problem is through dimensional analysis. First we need to note that each hour has 60 minutes. Each minute has 60 seconds. First multiply 15 hours with the factor 60 mins/ hour, canceling the unit hour. Then multiplying with the factor 60 sec/mins, to cancel the mins unit. You are now left with the unit of sec. The answer is 54, 000 seconds.

Answer:

60 minutes / 1 hour

Step-by-step explanation:

only chocolate and vanilla ice cream cones are sold at an ice cream store. In one day, the number of chocolate cones sold was 1 more than 4 times the number of vanilla cones sold. A total of 121 cones sold that day

Answers

I just had this question for homework too!

c = 4v + 1
v + c = 121

Now use substitution.

v + 4v + 1 = 121
5v + 1 = 121
5v = 120
v = 24

The answer is 24.

Here's the equation:
4x+1+x = 121. Where x is equal to the amount of vanilla cones.
5x + 1 = 121
5x = 120
x = 24
There were 24 vanilla and 97 chocolate.

A telephone company offers two plans with per-minute charges. Plan A involves a monthly rental of $12, and call charges at 7¢ per minute. Plan B involves a monthly rental of $15, and call charges at 5¢ per minute.Write an inequality in terms of the number of minutes which shows when Plan A is less expensive than Plan B. Solve the inequality, showing the steps in your work.