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4 years ago

The length of a rectangle is 3 times its width. Its perimeter is 88 cm. Find the length and

Mathematics

2 answers:

Montano1993 [528]4 years ago

6 0

Answer:

The rectangle is 11cm by 33cm long

Step-by-step explanation:

The easiest way to solve this is in a diagram, and that is how I'll explain the answer.

If you have a rectangle, where the length is 3 times the width, you can label the sides as x, and as 3x.

Now there are 2 sides labeled as 3x, and 2 sides labeled as x.

Since we are dealing with the perimeter of the rectangle, add all the values together to get 8x. since this value also represents the perimeter, we can set it equal to 88.

We then divide both sides by 8, to get x=11.

Then, plug in the value of x to each side,

So the width was x, and now is 11, and the length was 3x, and now is 33

earnstyle [38]4 years ago

4 0

Answer:jj

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Step-by-step explanation:hhhhh

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I need help finding if it’s either SOH, CAH or TOA and the indicated side of the triangle, thank you!

Brilliant_brown [7]

Answer:

$\huge\boxed{IJ \approx 2.01}$

Step-by-step explanation:

In order to find the side mentioned (IJ), we need to use SOH CAH TOA.

SOH CAH TOA is an acronym to help us remember what sin, cos, and tan mean. It stands for:

Sin = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Since we know the measure of angle K (42) and we know one of the sides, we can use this to find the missing length.

Since the side given to us is the hypotenuse, and we're looking for the side opposite of the angle (IJ), the only possible one to use would be SIN as it includes Opposite and Hypotenuse.

Our equation is now this: $\text{sin(42)} = \frac{x}{3}$

Let's now solve for x.

$\text{sin(42)} = \frac{x}{3}$
$3 \cdot \text{sin(42)} = x$
$\text{sin(42)} \approx 0.67$
$3 \cdot 0.67 \approx 2.01$

Therefore, the length of IJ will be around 2.01.

Hope this helped!

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3 years ago

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3 years ago

Dennis and Connie purchased a radio for $128. Dennis paid $36 more than Connie. How much did each pay?

never [62]

Answer:

Dennis paid $82 and Connie paid $46.

Step-by-step explanation:

We can set up an equation by putting in variables, c representing how much Connie paid. Since we know that Dennis paid $36 more, we will also factor that in the equation.

c + c + 36 = 128

Where c + 36 represents the amount Dennis paid, and 128 represents the total amount paid as given in the question. We can start by adding like terms. 2c + 36 = 128

Now, we can subtract 36 from each side,

2c + 36 - 36 = 128 - 36

2c = 92

Divide each side by two,

2c/2 = 92/2

c = 46

Now, to make sure this is correct, let's substitute our c for 46 in our equation:

46 + 46 + 36 = 128

92 + 36 = 128

128 = 128

Therefore, our equation is correct, and Dennis paid $82 while Connie paid $46.

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3 years ago

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madam [21]

Answer:

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Step-by-step explanation:

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