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Anna11 [10]
3 years ago
7

A rectangle is 3 times as long as it is wide. The perimeter is 120 cm. Find the dimensions of the rectangle. Round to the neares

t tenth if necessary.
Mathematics
1 answer:
Ivenika [448]3 years ago
6 0
The rectangle is 15cm by 45cm
2(3x)+2(x)=120
6x+2x=120
8x=120
X=15
3(15)=45
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1/4x – 2 = 3/8 Please show an equation and work. :)
Julli [10]
1/4x - 2 = 3/8

First, to start solving this, we can rearrange our fraction. Let's take 1/4x and change it to x/4. Why? Well, a variable can also be considered as the number 1.
\frac{x}{4} - 2 =  \frac{3}{8}

Second, now we can continue solving for our variable (x). Let's add 2 to each side.
\frac{x}{4} =  \frac{3}{8} + 2

Third, let's simplify 3/8 + 2. (3/8 + 2 = 2.375 =19/8)
\frac{x}{4} =  \frac{19}{8}

Fourth, continue trying to get the variable by itself. Multiply each side by 4.
x =  \frac{19}{8} \times 4

Fifth, let's simplify 19/8 × 4. This is simple. Leave the denominator be and just do 19 × 4, which equals 76.
x =  \frac{76}{8}

Sixth, our final step is to simplify our fraction. To do so, we will need to list the factors of the numerator and denominator and find the greatest common factor (GCF).

Factors of 76: 1, 2, 4, 19, 38, 76
Factors of 8: 1, 2, 4, 8

Since 4 is our first common factor, it is considered our GCF.

Seventh, now let's divide. Divide both the numerator and denominator by the GCF (4) to create our new simplified fraction.
76 \div 4 = 19 \\ 8 \div 4 = 2

Answer in fraction form: \fbox {x = 19/2}
Answer in decimal form: \fbox {x = 9.5}
8 0
3 years ago
How do you find the base and height?
dusya [7]
A triangle is 180 degrees. Depending on their angles: Right Angle - 90 degrees
Acute Angle - less than 90 degrees and Obtuse Angle greater than 90 degrees and under 180 degrees. Hope that helps. 
8 0
3 years ago
The length around the outside of semicircle O from point L through point M to point N is 14 centimeters. The perimeter of semici
Luden [163]
The area would be 83.67 cm.

A semicircle is half of a circle.  The perimeter of the semicircle would be half of the perimeter (circumference) of the entire circle.  The formula for circumference is:

C=πd

Using our information, we have  

22.92 = 0.5(3.14)d
22.92 = 1.57d

Divide both sides by 1.57:

22.92/1.57 = 1.57d/1.57
14.6≈d

Since the diameter is 14.6, the radius is 14.6/2 = 7.3.

We use the radius for the area of the semicircle:

A=0.5πr²
=0.5(3.14)(7.3)²
=83.67
3 0
3 years ago
Which of the following represents "the square of the sum of a number and 4 is 36"? x2 + 42 = 36 x2 + 4 = 36 (x + 4)2 = 36
MrRa [10]
<span>"the square of the sum of a number and 4 is 36"
=
</span><span>(x + 4)^2 = 36


</span>
5 0
3 years ago
Read 2 more answers
Express 5n+2 - 51+1 – 5" in<br>the simplest form.​
saw5 [17]

Answer:

Step-by-step explanation:

5n-53

Hope it helps

Mark me as brainiest pls begging you

7 0
3 years ago
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