1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Levart [38]
4 years ago
13

The perimeter of this Hexagon is 162 cm. Each longer side measures 1 cm more than twice a shorter side. Find the length of the l

abled x.

Mathematics
1 answer:
Elis [28]4 years ago
5 0
Let x represent the shorter sides, then 2x + 1 would represent the longer sides. There are four short sides and two long sides. The perimeter is 162 cm. The equation: 4x + 2(2x + 1) = 162 4x + 8x + 2 = 162 8x + 2 = 162 Subtract 2 from both sides. 8x = 160 Divide both sides by 8. x = 20 The shorter sides are 20 cm in length. The longer sides are 2x + 1, or 41 cm in length. Check: 4 * 20 + 2 * 41 = 162 80 + 82 = 162 162 = 162, values check. 
You might be interested in
The regular price of a television set is $1,200. Albert buys the television set at a discount of 35% . How much does he pay for
ololo11 [35]

He pays $780 for the television set.

1200*.35=420

1200-420=780

5 0
3 years ago
Gravel is being dumped from a conveyor belt at a rate of 15 ft3/min, and its coarseness is such that it forms a pile in the shap
gayaneshka [121]

Answer:

0.13 ft/min

Step-by-step explanation:

We are given that

\frac{dV}{dt}=15ft^3/min

We have to find the increasing rate of change of height of pile  when the pile is 12 ft high.

Let d be the diameter of pile

Height of pile=h

d=h

Radius of pile,r=\frac{d}{2}=\frac{h}{2}

Volume of pile=\frac{1}{3}\pi r^2 h=\frac{1}{12}\pi h^3

\frac{dV}{dt}=\frac{1}{4}\pi h^2\frac{dh}{dt}

h=12 ft

Substitute the values

15=\frac{1}{4}\pi(12)^2\frac{dh}{dt}

\frac{dh}{dt}=\frac{15\times 4}{\pi(12)^2}

\frac{dh}{dt}=0.13ft/min

7 0
3 years ago
find the circumference of a circle that has an area of 452.16 square meters. (Use 3.1416 as the value of π.)
IceJOKER [234]
(1) circumference of a circle = 2π.R
(2) area of a circle = π.R²

Area = 452.16 m² (given), so we can calculate the radius:
452.16 = π.R²
452.16/π = R²

143.92 = R²  → R =√143.92 ≈ 12 m
Having R = 12, now we can calculate the circumference :

circumference of a circle = 2π.R = 2.π.12 = 75.41 m

3 0
3 years ago
Help with math please example 1
hram777 [196]

Answer:

I'm not very sure about this one what icing in probably not going to be right but what I think is that they're not the same because look at the size difference imagine putting an adult's next to a baby that's kind of what it's like the bigger quadrilateral is also the adults while the little one is the baby what do you think about that I probably think that they're not saying

Step-by-step explanation:

sorry I gave it to you in my answer

3 0
3 years ago
Determine whether the given sequence could be geometric, arithmetic, or neither. if possible, identify either the common ratio o
REY [17]

ARITHMETIC CHECK: A sequence is said to be arithmetic if any two consecutive terms differ by the same constant.

So, the test to check if a series is arithmetic is to compute consecutive differences, and see if they all return the same number.

If we subtract the first two terms, we have 2-4 = -2. If we subtract the third and second terms, we have 1-2 = -1.

These two differences returned two different values, so the series is not arithmetic.

GEOMETRIC CHECK: A sequence is said to be geometric if any two consecutive terms are in the same ratio.

So, the test to check if a series is geometric is to compute consecutive ratios, and see if they all return the same number.

If we divide the first two terms, we have

\dfrac{2}{4} = \dfrac{1}{2}

If we divide the third and second terms, we have

\dfrac{1}{2} = \dfrac{1}{2}

Finally, if we divide the last two terms we have

\dfrac{\frac{1}{2}}{1} = \dfrac{1}{2}

So, all ratios return the same number. This means that the series is geometric, and the common ratio is 1/2



7 0
4 years ago
Other questions:
  • Ramon took out a car loan with an interest rate of 10 percent and paid $100 in loan application fees. What term describes the am
    9·1 answer
  • Evaluate 6t - 20 - 32u when t = 1/4
    15·1 answer
  • What does The Bureau of Consumer Protection do for consumers?
    5·1 answer
  • What is the product <br><br> 3a(8a-6a)
    9·1 answer
  • It's this one!!!!_;$;;#+$;​
    11·1 answer
  • Find the mean of the picture below?
    15·1 answer
  • Find the value of x I’d appreciate if you could explain as well if not that’s fine
    8·1 answer
  • What is the area of the isosceles trapezoid in square feet?
    6·2 answers
  • What is the solution for x? x/5=2
    13·2 answers
  • 9. The price of one gallon of heating oil is $2.689.Which is this number rounded
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!