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Crazy boy [7]
3 years ago
11

The length of a rectangle is twice the width. Find the width if the perimeter is 60 centimeters. Define a variable, write an equ

ation, and solve the problem.
Mathematics
2 answers:
inn [45]3 years ago
6 0
Call the length l and the width w. We know that:
1. "<span>The length of a rectangle is twice the width." i.e.: l=2w
</span>2. "<span>the perimeter is 60 centimeters." i.e.: P=60
</span>
Using the perimeter formula P=wl+2w we have:
60=2l+2w
60=2l+l
Thus:
l=20
and:
w=\frac{l}{2}
w=10

The rectangle is 20cm long by 10cm wide. 

To check:
P=2l+2w
60=2(20)+2(10)
60=40+20
60=60  Checks true. 
-Dominant- [34]3 years ago
3 0

width = w

length = 2w

perimeter = 2w + 2 l

perimeter = 2w +2(2w)

60 = 2w + 4w

60= 6w

60=6w

w = 60/6 = 10

length = 10x2 = 20

10+10+20+20 = 60

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what's the question? you only put a formula

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The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.
taurus [48]

Answer:

A\approx 28^{\circ}

Step-by-step explanation:

Please find the attachment.  

We have been given that area of triangle ABC is 3√2 square inches.

\text{Area}=\frac{1}{2}\text{Base}\times \text{height}

We know that area of triangle an be found using trigonometry as:

\text{Area}=\frac{1}{2}\times c\times h

\text{sin}(A)=\frac{h}{9}\\h=9\cdot \text{sin}(A)

3\sqrt{2}=\frac{1}{2}\times 2\times 9\cdot \text{sin}(A)

3\sqrt{2}=9\cdot \text{sin}(A)

9\cdot \text{sin}(A)=3\sqrt{2}

\text{sin}(A)=\frac{3\sqrt{2}}{9}

\text{sin}(A)=\frac{\sqrt{2}}{3}

Now, we will use inverse sine to find the value of angle A as:

A=\text{sin}^{-1}(\frac{\sqrt{2}}{3})

A=28.1255057^{\circ}

A\approx 28^{\circ}

Therefore, the measure of angle A is approximately 28 degrees.

3 0
3 years ago
Which numbers are​ rational?
QveST [7]

Answer:

0 is a rational number.

-7 is a rational number.

10 is a rational number.

Step-by-step explanation:

Not sure about the rest but these numbers I know for a fact are 100% rational.

3 0
3 years ago
Heather makes $6.50 per hour. Every three months, she is eligible for a 2% raise. How much will she make after 2 years if she ge
sammy [17]

Answer:

$7.62 per hour


Step-by-step explanation:

Since, Heather gets a raise every 3 months, in 2 years, she will get a raise 8 times (2years = 24 months, 24 divided by 3 is 8).

Now it becomes a compound growth problem. We can use the formula shown below to solve these type of problems.

F=P(1+r)^t

Where,

  • F is the future value (what we want to find)
  • P is the present rate ($6.5)
  • r is the rate of growth, in decimal (2% growth means 0.02)
  • t is the time frame, number of times compounding occurs (for our case we have figured it to be 8)

<u>Now plugging in all the info, we get the value of F:</u>

F=P(1+r)^t\\F=6.5(1+0.02)^8\\F=6.5(1.02)^8\\F=7.62


Thus, after 2 years, Heather's hourly rate will be $7.62


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3 years ago
Consider the line y = 9x-5.
goldenfox [79]

Answer:

4 \times  {4}^{ -  5 \times 4}

7 0
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