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
Nady [450]
3 years ago
11

Pleaseeeee help, I need this now...

Mathematics
1 answer:
hoa [83]3 years ago
3 0

Answer:

7/16.  

Step-by-step explanation:

The first triangle has no shading.

The second triangle has 1/4 shaded.

The third has 3/9.

The fourth has 6/16.

Based on this pattern, we can assume that the number of small triangles in each triangle are going to be squared of numbers, since the first had 1, the second 4, the third 9, the fourth 16. So, the 8th triangle would have 8^2 small triangles, or 64 triangles in total.

The first triangle has no shaded triangles. The second has 1. The third has 3. The fourth has 6. If you study the pattern, the second triangle has 1 more than the previous, the third has 2 more, the fourth has three more. And so, the fifth triangle would have 6 + 4 = 10 triangles, the sixth would have 10 + 5 = 15 triangles, the seventh would have 15 + 6 = 21 triangles, and the eighth would have 21 + 7 = 28 shaded triangles.

So, the fraction of shaded triangles would be 28 / 64 = 14 / 32 = 7 / 16.

Hope this helps!

You might be interested in
The circumference of the ellipse approximate. Which equation is the result of solving the formula of the circumference for b?
Serhud [2]

Answer:

b = \sqrt{\frac{C^{2} }{2(\pi )^{2} }  -  a^{2}}

Step-by-step explanation:

Given - The circumference of the ellipse approximated by C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }where 2a and 2b are the lengths of 2 the axes of the ellipse.

To find - Which equation is the result of solving the formula of the circumference for b ?

Solution -

C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }\\\frac{C}{2\pi }  =  \sqrt{\frac{a^{2} + b^{2} }{2} }

Squaring Both sides, we get

[\frac{C}{2\pi }]^{2}   =  [\sqrt{\frac{a^{2} + b^{2} }{2} }]^{2} \\\frac{C^{2} }{(2\pi)^{2}  }   =  {\frac{a^{2} + b^{2} }{2} }\\2\frac{C^{2} }{4(\pi)^{2}  }   =  {{a^{2} + b^{2} }

\frac{C^{2} }{2(\pi )^{2} }  = a^{2} + b^{2} \\\frac{C^{2} }{2(\pi )^{2} }  -  a^{2} = b^{2} \\\sqrt{\frac{C^{2} }{2(\pi )^{2} }  -  a^{2}}  = b

∴ we get

b = \sqrt{\frac{C^{2} }{2(\pi )^{2} }  -  a^{2}}

8 0
3 years ago
Find f(–2) for the function f(x) = 3x2 – 2x + 7.
sattari [20]

Answer:

23

Step-by-step explanation:

3(-2)2-2(-2)+7

3(4)-(-4)+7

12+4+7

8 0
3 years ago
a motel clerk counts his $1 and $10 bills at the end of the day. he finds that he has a total of 56 bills having a combined mone
alina1380 [7]
We can write a system of equations:

1x + 10y = 182
x + y = 56

Where 'x' is the number of $1 bills, and 'y' is the number of $10 bills.

To find this we can solve using substitution.

Re-arrange the 2nd equation:

x + y = 56

Subtract 'y' to both sides:

x = -y + 56

Now we can plug in '-y + 56' for 'x' in the first equation.

1x + 10y = 182

1(-y + 56) + 10y = 182

-y + 56 + 10y = 182

Subtract 56 to both sides:

-y + 10y = 126

Combine like terms:

9y = 126

Divide 9 to both sides:

y = 14

Now we can plug this into any of the two equations to find the 'x' value.

x + y = 56

x + 14 = 56

Subtract 14 to both sides:

x = 42

So our final answer is (42, 14).

This means that the motel clerk had 42 $1 bills, and 14 $10 bills.
7 0
3 years ago
Lewis wants to play several games of paintball with his friends. At the park, it costs $16.97 for admission and paintballs, and
SpyIntel [72]

B, $5.10x (it doesnt give you the ammount of games he played so x represents it) + $16.97 (the cost he payed to get in)

6 0
3 years ago
Read 2 more answers
Colin is buying dirt to fill a garden bed that is a 9 ft by 16 ft rectangle. If he wants to fill it to a depth of 4 in., how man
timama [110]
Find the volume of the rectangular prism.

V = lwh

V = (9)(16)(4)

V = 756 ft^3

Convert to cubic yards:

1 ft^3 = 0.037037037 yd^3

756 * 0.037037037 = 28

So there are 28 cubic yards of dirt he needs.

Multiply this to 25 to find the total cost of the dirt:

28 * 25 = 700

So the project will cost $700
5 0
3 years ago
Other questions:
  • Solve for x: 2 over 3 equals the quantity x minus 1 end quantity over 5
    12·1 answer
  • I NEED HELP PEOPLE!!!! WILL GIVE BRAINLIEST!!!!
    11·1 answer
  • Use simpson's rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. compare y
    8·1 answer
  • Given a regular decagon, find the measures of the angles formed by (
    6·1 answer
  • Simplify. <br><br> (-4)2 · 2 + 3 - 5 · 3
    7·1 answer
  • Darius created a factor tree and wrote the prime factorization of 60 shown here.
    7·1 answer
  • Write an equation to represent the number of pages Jesse has read. Using x, the number of days Amir has been reading, write an e
    10·1 answer
  • A student organization sells shirts to raise money for events and activities. The
    13·1 answer
  • Using the spinner above, what is the probability that you land on red or blue?
    8·1 answer
  • The loudness L of sound in decibels is given by L=10log(I/I0) where I is the intensity of the sound, and I0 is the intensity of
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!