Fun, geometry disguised as probability.
That's a pentagon, which we can view as 10 right triangles with legs a and s/2 (half of s) and hypotenuse r. So area of the pentagon is
P = 10 × (1/2) a (s/2) = 10 (1/2) (3.2) (4.7/2) = 37.6
The area of the circle is πr² so the circle area is
C = π (4²) = 50.265482
The white area is the difference, C-P, and the probability we seek is the fraction of the circle that's white, so (C-P)/C.
p = (C-P)/C =1-P/C = 1-37.6/50.265482 = 0.251971
Answer: 0.25
Higher than I would have guessed from the figure.
What is the value of x in the figure? Enter your answer in the box.
Answer:
x = 65
Step-by-step explanation:
2x + 15 and 145 are vertical angles and congruent, thus
2x + 15 = 145 ( subtract 15 from both sides )
2x = 130 ( divide both sides by 2 )
x = 65
Answer:65
Step-by-step explanation:
2x+15=145. Because opposite angles are equal
2x+15=145
Collect like terms
2x=145-15
2x=130
Divide both sides by 2
2x/2=130/2
x=65
The slope intercept equation
Answer:
y=mx+b
Step-by-step explanation:
Hope this helps.
Find the surface area of the figure. Round to the nearest hundredth.
Answer:
Step-by-step explanation:
(DO NOT GIVE ANSWER!
Please just explain how to get the answer, thank you! )
The probability of winning a game is 25%. How many times should you expect to win if you play 36 times?
Answer:
----
Step-by-step explanation:
My answer was wrong...
No way to delete...
this is the other part! please help!
Answer:
Line B
Step-by-step explanation:
Line b is the the correct answer because the line has the most dots near or on it
Kira is using the figure shown to prove the Pythagorean theorem. She starts by writing the
equation (a + b)2 – 2 = 4( ab) because she knows two equal ways to represent the area
of the shaded region. Which best describes the next steps Kira should take to complete her
proof?
Answer:
B. Simplify both sides of the equation to get [tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]; then subtract 2ab and add [tex]c^2[/tex] to both sides of the equation
Step-by-step explanation:
Given
[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]
Required
Describe the next steps to
First, we open all brackets
[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]
[tex](a + b)(a + b) - c^2 = 4(\frac{1}{2}ab)[/tex]
[tex]a^2 + 2ab + b^2 - c^2 = 4 * (\frac{1}{2}ab)[/tex]
[tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]
At this point, options A and C are incorrect because they didn't present the right result of the expression.
So, we have options B and D to consider
The next step is to subtract 2ab from both sides
[tex]a^2 + 2ab + b^2 - c^2 - 2ab = 2ab - 2ab[/tex]
Collect like terms
[tex]a^2 + b^2 - c^2 +2ab - 2ab = 2ab - 2ab[/tex]
[tex]a^2 + b^2 - c^2 = 0[/tex]
Lastly, to prove the Pythagoras theorem, the equation has to be in form of[tex]a^2 + b^2 = c^2[/tex]; meaning the [tex]c^2[/tex] is added to both sides; See below
[tex]a^2 + b^2 - c^2 = 0[/tex]
Add [tex]c^2[/tex] to both sides
[tex]a^2 + b^2 - c^2 + c^2= 0 + c^2[/tex]
[tex]a^2 + b^2 = c^2[/tex]
At this point, only option B completes Kira's proof
Answer:
It’s B
Step-by-step explanation:
I did the test
Can someone help with step by step
Answer:
See explanation
Step-by-step explanation:
[tex] In\: \triangle ABC \:\&\: \triangle EDC\\
\angle ABC \cong \angle EDC... (Right \: \angle s) \\
\angle ACB \cong \angle ECD... (Vertical \: \angle s) \\\therefore \triangle ABC \sim \triangle EDC... (By\: AA\: Postulate) \\[/tex]
Find the area for this problem. Will mark brainliest.
Answer:
166.5
20 characters bla blah
Answer:
166.5cm²
Step-by-step explanation:
18.5×9=166.5
I really need help figuring out what x and y are
Answer:
x = 44, y = 37
Step-by-step explanation:
∠1 and ∠ 4 are adjacent angles and are supplementary, thus
3x + 4 + x = 180
4x + 4 = 180 ( subtract 4 from both sides )
4x = 176 ( divide both sides by 4 )
x = 44
------------
∠ 1 and ∠ 3 are vertical angles and congruent, thus
4y - 12 = 3x + 4 = 3(44) + 4 = 132 + 4 = 136 ( add 12 to both sides )
4y = 148 ( divide both sides by 4 )
y = 37
---
What is the slope of the equation y=5/4 x -7/4
Answer:
5/4
Step-by-step explanation:
The slope intercept form for a linear equation is y = mx + b. The variable's (x) coefficient, which is represented as m, is the slope of any linear equation.
Answer:
5/4
Step-by-step explanation:
Got it right
The area of a square is 36 square centimeters. A rectangle has the same perimeter as the square. The length of the rectangle is twice the width what is the area of the rectangle in sq cm?
Answer:32sq cm
Step-by-step explanation:
area of square 36
sides are then 6 by 6
6+6+6+6=24
24 can be made into 4+4+8+8 8 is twice as much as 4 8x4=32
one negative number is 4.5 more than another number. the sum of the squares of these numbers is 46.25. Find both
Answer:
y = -6.5 and x = 2
Step-by-step explanation:
Let one negative number be -y and another number be x
We are given that one negative number is 4.5 more than another number
So, -y=x+4.5
We are also given that The sum of the squares of these numbers is 46.25.
So,[tex]x^2+(-y)^2=46.25\\x^2+(x+4.5)^2=46.25\\x^2+x^2+20.25+18x=46.25\\2x^2+18x=26.25\\x^2+9x=13.125\\x^2+9x-13.125=0\\[/tex]
x=-6.5,2
When x = -6.5
-y=x+4.5
-y=-6.5+4.5
-y=-2
y=2
When x = 2
-y=x+4.5
-y=2+4.5
-y=6.5
y=-6.5
So, y = -6.5 and x = 2
The radius of a circle is 4 miles. What is the area of a sector bounded by a 180 arc?
Answer:
The area of sector is [tex]25.12 miles^2[/tex]
Step-by-step explanation:
Radius of circle = 4 miles
We are supposed to find the area of a sector bounded by a 180 arc
[tex]\theta = 180^{\circ}[/tex]
Area of sector =[tex]\frac{\theta}{360^{\circ}} \pi r^2[/tex]
Area of sector = [tex]\frac{180^{\circ}}{360^{\circ}} \times \frac{22}{7} \times 4^2[/tex]
Area of sector = [tex]25.12 miles^2[/tex]
Hence The area of sector is [tex]25.12 miles^2[/tex]
brainliest & points!
i need help with math asap, show work too if possible :)
Answer:
I think the answer is x is 16 and y is 20? I could be wrong tho
Step-by-step explanation:
First, subtract -7 from -1 to get 8.
Then, add the 12 and you get 16 for x.
First, subtract 7y from 9x to get 2y
Then, add 4 to get 20 for y.
Find the area of the shaded region.
Express the area in factored form.
Answer:
(x-1)(x+3)
Step-by-step explanation:
The area of the big green rectangle is just x(x+2) which is [tex]x^2+2x[/tex]. (Excluding the interior rectangle) The shaded area is just this minus three which is [tex]x^2+2x-3[/tex]. In factored form this is (x-1)(x+3).
Hope this helps!
Evaluate 5 + 1.3 • 8.7
Step-by-step explanation:
16.31
.......................
Answer:
16.31
Step-by-step explanation:
You want to start with multiplying because of PEMDAS, so
1.3 x 8.7
so 7 x 3 = 21, and carry the two, then 7 x 1 = 7 + 2 = 9.
at the bottom you now have that it equals 9.1
so, now you start your next line and put a 0.
then, 8 x 3 = 24, of course carry the 2, and 8 x 1 = 8 + 2 = 10.
you will now have 10.40 under that
you then add 9.1 + 10.40 to get your answer of
11.31
lastly, just simply add
11.31 + 5
and you get your final answer of 16.31
1) Find a quadratic equation that has solutions x = 0 and x = 5 Give your answer
without brackets.
2) Find a quadratic equation that has two solutions x = 7
Give your answer without brackets.
1) You need to work this problem backwards.
x=0 and x=5 and those are the roots so the factoring must have looked something like this:
(x-0)(x-5) Then you would FOIL it:
x^2-5x-0-0 Then simplify:
x^2-5x.
2) Do the same thing with this problem.
x=7 and x=7
(x-7)(x-7)
x^2-7x-7x+49
x^2-14x+49
I hope that this helps.
Math question down below
Answer:
6 and 3/4
Step-by-step explanation:
add all of the ones before 2 1/2
What are the zeros of the function shown in the graph?
Answer: x = 2, -4
Step-by-step explanation:
The zeros of a function are where the function crosses the x-axis, in this case, the function crosses the x-axis at 2 and -4, so 2 and -4 are the zeros of this function.
Hope this helps.
Answer:
By definition, the zeros of a function f(x) are all the values x for which f(x) = 0. In other words, the zeros of a function f(x) are the intersections of the graph of f(x) with the axis of x. Therefore, to identify the zeros of the function shown, identify the values of x in which the graph intersects the horizontal axis.
HELP PLEASE
Hudson has xx nickels and yy dimes. He has at most 13 coins worth at least $1 combined. Solve this system of inequalities graphically and determine one possible solution.
I NEED THE 2 INEQUALITIES, AND THE ANSWER
Answer: $ 12.05
Step-by-step explanation:
Answer:
Step-by-step explanation:
what is 10 1/3 x 1/4? that is, what is ten and one third times one fourth?
Answer: 31/12, or 2 7/12
Step-by-step explanation: The answer is actually very simple. All you have to do is to simplify 10 1/3 into 31/3, as 10x3+1=31. Then, you have to multiply 31/3 with 1/4. Do a simple fraction multiplication, and you get 31/12, or 2 7/12 if your teacher is asking for a mixed number. Sometimes simplifying is better
Help! I need to idenfity the clusters, strays, and gaps!!
50 Pts, Please help me, dont answer if you dont know how to help me please. id appreciate it, will give brainliest.
Answer:
Isnt the best way to explain a question
Step-by-step explanation:
But mostly the first row would be F,M,F,F,M
three-fourths the square of a number
Answer:
i think it is D i am sorry if it is wrong
Step-by-step explanation:
What is the rate of change of a function over a specified interval?
Answer:
The average rate of change is 1 over 3, or just 1/3. The y-values change 1 unit every time the x-values change 3 units, on this interval. Finding average rate of change from a word problem.
Step-by-step explanation:
hope this helps plz mrk brainliest
In the circus, a lion has been trained to jump through a ring of fire that has a radius of 4 feet. What is the rings circumference? Use 3.14 for
Answer:
25.12
Step-by-step explanation:
1) use the formula: circumference=2×3.14×radius
2) then plug in the radius,which is 4
which is now 2×3.14×4
3) plug that into a calculator in which you will have 25.12 as your answer
Please round 0.02623 to the nearest hundred.
||||
Thank you guys! please answer soon!
Answer:
0.03
Step-by-step explanation:
6 is greater then 5, so you add 1 to 2 making 0.03
Answer:
0.03
Step-by-step explanation:
the digit after the first 2 is a 6 and you always round up so it would be 0.03.
In a board game, when you land on a specific square, you must roll a die. If the result is an odd number, you receive four times the result, in dollars. If the result is even, you must pay five times the result, in dollars.
Determine the expectation.
a. 5 - 4
b. 4 x ( 1 + 3 + 5) x 1/2 - 5 ( 2 + 4 + 6) x 1/2
c. 0
d. 5 x 1/2 - 4 x 1/2
Answer:
Option B is correct.
It represents exactly the expectation.
Hope this helps!
:)
Answer:
The answer is B
STEP BY STEP EXPLANATION BOIZ:
if its an odd number four times the result = 4 x (1 + 3 + 5)
If result is even you must pay five times the result = 5(2 + 4 + 6)
So 4 x (1 + 3 + 5) x 1/2 - 5(2+4+6) x 1/2 is the answer
Hope dis helped :3 o(* ̄▽ ̄*)ブ
IF I HAVE 130 POP CORN AND I TAKE AWAY 30 WHATWOULD THE AWNSER BE A.30 B. 100 C.20 D.130 I AREADY KNO IT YALL JUST HAVE TO GUESS IF YALL WANT A BRAINLEST
Answer:
b. 100
Step-by-step explanation:
Answer:
B. 100
Why are you doing this?
help !!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: Matt is correct
Step-by-step explanation: length x width x height so it's D