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
Mekhanik [1.2K]
3 years ago
9

Sunhee had four plastic shapes a square, a circle, and a pentagon in how many ways can she line up the four shapes of the circle

cannot be next to the square
Mathematics
1 answer:
julsineya [31]3 years ago
5 0

Answer:

only three shapes are mentioned.

But anyhow, 4 shapes allow the following reasoning...

you can start lining up with any of the for shapes, so you have 4 possibilities, for the second position you have 3 possibilities, for the third 2 and for the last only 1.

so 4*3*2*1= 24 possible ways

but with the added rule to keep the circle and the square apart, we have to reduce the number.

by the same step-by-step reasoning we get

4 possibilities for the 1st item

only 2 possibilities for the 2nd item

(if 1st is square or circle, the other one's not an option, if it's not we have to choose one of them to not place them both at point 3 and 4)

only 1 choice for the 3rd item

(reasoning as above, if 2nd is square or circle, we have to the only other, if it isn't, we can put it here at 3rd position)

plus scenarios where either square or circle are on 1st point, the other's on 4th.

I guess that makes 14 possible arrangements

You might be interested in
Please help me with question number 2
Mice21 [21]

Answer:

2. The area of the side walk is approximately 217 m²

3. The distance away from the sprinkler the water can spread is approximately 11 feet

4. The area of the rug is 49.6

Step-by-step explanation:

2. The dimensions of the flower bed and the sidewalks are;

The diameter of the flower bed = 20 meters

The width of the circular side walk, x = 3 meters

Therefore, the diameter of the outer edge of the side walk, D, is given as follows

D = d + 2·x (The width of the side walk is applied to both side of the circular diameter)

∴ D  = 20 + 2×3 = 26

The area of the side walk = The area of the sidewalk and the side walk = The area of the flower bed

∴ The area of the side walk, A = π·D²/4 - π·d²/4

∴ A = 3.14 × 26²/4 - 3.14 × 20²/4 = 216.66

By rounding to the nearest whole number, the area of the side walk, A ≈ 217 m²

3. Given that the area formed by the circular pattern, A = 379.94 ft.², we have;

Area of a circle = π·r²

∴ Where 'r' represents how far it can spread, we have;

π·r² = 379.94

r = √(379.94 ft.²/π) ≈ 10.997211 ft.

Therefore, the distance away from the sprinkler the water can spread, r ≈ 11 feet

4. The circumference of the rug = 24.8 meters

The circumference of a circle, C = 2·π·r

Where;

r = The radius of the circle

π = 3.1

∴ For the rug of radius 'r', C = 2·π·r = 24.8

r = 24.8/(2·π) = 12.4/π = 12.4/3.1 = 4

The area = π·r²

∴ The area of the rug = 3.1 × 4² = 49.6.

8 0
2 years ago
Roger had a farm with a certain number of orange trees. he had to cut down 5 trees to control the insects. each of the remaining
Oksi-84 [34.3K]
41790/210 = 199
199 + 5 = 204.
3 0
3 years ago
Read 2 more answers
Which equation would graph as a straight line? x2 – y = 0 y = x 2y = x2 y=1/2×2-1 x2 = 0
Gwar [14]

Answer:

y=1/2×2-1

Step-by-step explanation:

x2 – y = 0 yields a parabola.

y = x is straight but has a slope to make it increase/decrease.

2y = x2 yields a parabola.

x2 = 0 yields a parabola.

3 0
2 years ago
Write the slope-intercept form of an equation that passes
Hunter-Best [27]

Answer:

y = \frac{4}{3}x-5

Step-by-step explanation:

As the line is perpendicular to y=-\frac{3}{4} x + 2, we know that the slope of the line is \frac{4}{3}. As it passes through (3, - 1), we know that it should be y = \frac{4}{3}x-5.

4 0
2 years ago
HELPPPPPPP ASAPPPPPPPP PLSSSS
Novay_Z [31]

Answer:

the first one is. hope helps

5 0
3 years ago
Other questions:
  • The number of calories in 5 cups of yogurt is 750. What proportion can you set up to determine the number of calories, c, in 9 c
    8·2 answers
  • Exponential function
    6·1 answer
  • How many liters of water must Sharon add to 5 liters of a soap and water mixture which is 36% soap to create a solution which is
    12·1 answer
  • HeeeeeEEEEEELP
    15·1 answer
  • If t stands for the number of years since 2000 write an equation for the deer population p as a function of t
    6·1 answer
  • Using the table, what is the value for the RANGE when the DOMAIN is 2?
    8·1 answer
  • What is the unit rate for 822.6 km in 18 h?
    7·1 answer
  • a seed company says that 4 out of every 5 of its seeds will grow.if Madi plants 40 of these seed, then how many seeds is Madi ex
    5·1 answer
  • Keisha needs to make at least 32 costumes for the school play. Since she can make 4 costumes each week, Keisha plans to work on
    5·1 answer
  • You roll a fair 6-sided die.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!