The formula for finding the area of any regular polygon if you know the length of one side and the apothem: A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothem.
What are two different ways you could find the experimental probability of the event that martin does not draw a red marble?
Answer:
See Explanation
Step-by-step explanation:
Given [Missing Information]
[tex]Red = 12[/tex]
[tex]Blue = 10[/tex]
[tex]Green = 15[/tex]
[tex]Yellow = 13[/tex]
Way 1:
Add up the total marbles that are not red.
[tex]Not\ Red = Blue + Green + Yellow[/tex]
[tex]Not\ Red = 10 + 15 + 13[/tex]
[tex]Not\ Red = 38[/tex]
Divide by total marbles to get the probability;
[tex]Probability = \frac{Npt\ Red}{Total}[/tex]
[tex]Probability = \frac{38}{38 + 12}[/tex]
[tex]Probability = \frac{38}{50}[/tex]
[tex]Probability = 0.76[/tex]
Way 2:
Calculate the probability of choosing red
[tex]P(Red) = \frac{Red}{Total}[/tex]
[tex]P(Red) = \frac{12}{50}[/tex]
[tex]P(Red) = 0.24[/tex]
Apply complement rule (i.e. subtract it from 1)
[tex]P(Not\ Red) = 1 - P(Red)[/tex]
[tex]P(Not\ Red) = 1 - 0.24[/tex]
[tex]P(Not\ Red) = 0.76[/tex]
A hot liquid starts at 93 degrees F. Its temperature decreases at a
constant rate of 9% per minute after it has been placed in a refrigerator.
To the nearest degree, what is the temperature of the liquid after cooling
for 7 minutes? *
Answer:
34.41º
Step-by-step explanation:
0.93 times 9=8.37 degrees per minute
7 times 8.37=58.59
93-58.59=34.41
What is the ratio of the areas of two circles. The first circle with an area of 50.24 and the other with a radius 4 times that of the first.
Answer:
1:4
Step-by-step explanation:
Since the first circle has an area of 50.24 and the second circle is 4 times that, the ratio is 1:4 because for every 50.24 units of the first circle, there are 200.96 units of the second circle (which is 4 times the amount of the first circle).
EXTRA POINTS :) what is the value of x??
Answer:
x = 17
Step-by-step explanation:
corresponding interior angles are supplementary, meaning they have to add up to 180 degrees so
6x + 8 + 4x + 2 = 180° then combine like terms ( 6x and 4x, 8 and 2 )
10x + 10 = 180 subtract 10 from both sides
-10 -10
10x = 170 divide each side by 10
/10 /10
x = 17
Does the set of numbers form a Pythagorean triple? Explain.
3, 5, 6
Choose the correct answer below.
Yes, the given numbers do not satisfy the equation a? + b2 = c?
No, because the given numbers do not satisfy the equation a² + b2 = c2.
Yes, because the given numbers satisfy the equation a2 + b2 = c2
No, because the given numbers satisfy the equation a2 + b2 = c2
Answer:
NO
Step-by-step explanation:
Either 3, 5 and 6 satisfy the Pythagorean Theorem or they do not. Here we start with a^2 + b^2 = c^2 and substitute 6 for c (because 6 is the largest of the set): Is 3^2 + 5^2 = 6^2? 9 + 25 = 36? NO
Mrs. Johnson measured 3 rectangular rooms that she wants to tile. What is the total area of the rooms?
Answer:
Find the area of each room and add the areas
Step-by-step explanation:
Please find the full question in the attached image
the area of rectangle is length x breadth. The area of each room would be found and the three areas would be added together
for example ,
dimension of room 1 = 5 x 3
dimension of room 2 = 2 x 3
dimension of room 3 = 4 x 5
area of room 1 = 15
area of room 2 = 6
area of room 3 = 20
total area = 15 + 6 + 20 = 41
At a local coffee shop, three coffees and two muffins cost a total of $7.00. Two coffees and four
muffins cost a total of $8.00. How much would six cups of coffee and 1 muffin cost?
Answer:
$10.25
Step-by-step explanation:
Set up a system of equations, so 3c + 2m = 7 and 2c + 4m = 8, where c = the cost of coffees, and m = cost of muffins
To solve multiply the first equation by -2(3c + 2m=7) so you get -6c -4m = -14 now add the two equations
-6c - 4m = -14
2c + 4m = 8 notice that -6c + 2c = -4c and -4m + 4m cancels, then -14+8=-6
so we have -4c = -6 so c = $1.50
To solve for m, substitute c = 1.50 so 3(1.50) + 2m = 7, so solve for m so
4.5 + 2m = 7, 2m = 2.5, so m = $1.25
So now solve the final problem 6(1.50) + 1(1.25) = $10.25
In the figure below, the vertices of triangle RST are on a circle.
8 in.
6 in.
s
• Line segment TS contains the center of the circle.
• The perimeter of triangle RST is 24 Inches.
What is the circle's radius?
8 inches, because d = 24 – 8 and 2 - 2 = r.
32 inches, because d = 24 – 8 and 2d=1
20 inches, because d = 24 - (8 + 6) and 2d =r
5 inches, because d = 24 - (8 + 6) and d - 2 =r
Answer:
I'm sorry for not answering but have you got the answer to this question
Which equation is equivalent to 2 - 2(3x - 1) = 2?
A.-6x = 2
B.-5x = 2
C.-6x + 4 = 2
D.-5x + 4 = 2
On a map, two cities measure 5.2 inches apart. The scale of the map is 2in.16miles. What is the actual distance between the cities?
The degree of polynomial 4x ^2 y+x^ 2 -2y ^2 is
Answer:
degree 3
Step-by-step explanation:
The degree of a polynomial is determined by the largest exponent of the term within the polynomial.
4x²y = 4x²[tex]y^{1}[/tex] ← with exponent 2 + 1 = 3
x² ← exponent 2
- 2y² ← exponent 2
The term with the largest exponent is 4x²y with exponent 3
Then the polynomial is of degree 3
In AVWX, mZV =
Find mZW.
(6x – 4),
m_W = (x + 12)°, and mZX = (3x + 2)°
Answer: XVW=36
Step-by-step explanation:
The external angle of triangle is equal to the sum of the 2 opposite interior angles.
WXY is an external angle to the triangle and
XVW and VWX are the 2 opposite interior angles, thus
6x - 19 = +17+ 3x+2, that is
6x- 19 =4x +19 (Subtract 4x from both sides)
2x - 19 =19 (add 19 to both sides by 2)
x = 19
Hence
XVW = x + 17 = 19 + 17 = 36
write 3450 in scientific notation form. b) write 234 x 10^16 in standard form. c) Population of kuwait is 2.4million. It is 4/5 population of Hong Kong. Calculate the population of kuwiat as percentage of Hong kong population.
Answer:
a; 3.45 * 10^3
b) 2.34 * 10^18
c) 80%
Step-by-step explanation:
a) 3450 in standard form
To write in standard form, we have to place a decimal at the back of the first non-zero number
we have this as ;
3.450
The count of numbers after the decimal point is 3
This will be the power to which 10 will be raised
We have this as;
3.45 * 10^3
b) 234 * 10^16
Let us write 234 in standard form
That will be;
234 = 2.34 * 10^2
So we have ;
2.34 * 10^2 * 10^16
Using the law of indices, we have;
2.34 * 10^(2 + 16) = 2.34 * 10^18
c) From the question, Kuwait is 4/5 of Hong kong’s population
Let Honk Kong’s population be x
4/5 * x = 2.4 million
4x = 5 * 2.4 million
x = 5 * 2.4/4
x = 5 * 0.6
x = 3 million
so writing the population of Kuwait as a percentage of that of Hong kong, we have
2.4/3 * 100%
= 0.8 * 100% = 80%
x represents a certain number. when the number is multiplied by 3 the result is the same as adding 34 to the number x
Answer:
Equation: 3x = x + 34Solved: x = 17Step-by-step explanation (how to solve):
Write an equation: 3x = x + 34Subtract x from each side, so it now looks like this: 2x = 34Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 17I hope this helps!
The value of x is 17
What is Linear equation?An equation between two variables that gives a straight line when plotted on a graph.
Given,
x represents a certain number
Number is multiplied by 3 = 3x
Adding 34 to the number = x+34
Given,
The number x is multiplied by 3 the result is the same as adding 34 to the number x
Therefore
3x = x+34
3x-x =34
2x =34
x = 17
Hence, the value of x is 17
Learn more about Linear equation here
https://brainly.com/question/11897796
#SPJ2
PLS HELP ASAP! HURRY, GIVING BRAINLY!
Find all missing angles
Rapid Rental Car charges a $55.00 rental fee plus $0.25 per mile driven. Capital Cars charges a $45.00 rental fee and $0.35 per mile driven.
A. Write an equation that can be used to find the number of miles for which the rental cost at both companies would be the same.
Answer:
100 miles
Step-by-step explanation:
Given data
let the number of miles driven be x
and the total charge for x miles be y
Hence the expression for the total charge is
Rapid Rental Car
charges a $55.00 rental fee plus $0.25 per mile driven.
y= 55+0.25x--------------1
Capital Cars charges a $45.00 rental fee and $0.35 per mile driven.
y= 45+0.35x--------------2
Equate 1 and 2
55+0.25x= 45+0.35x
collect like terms
55-45=0.35x-0.25x
10=0.1x
x= 10/0.1
x= 100 miles
Hence the mile is 100 miles
Can I please get help?
simple angle questoin
Answer:
░░░░░▐▀█▀▌░░░░▀█▄░░░
░░░░░▐█▄█▌░░░░░░▀█▄░░
░░░░░░▀▄▀░░░▄▄▄▄▄▀▀░░
░░░░▄▄▄██▀▀▀▀░░░░░░
░░░█▀▄▄▄█░▀▀░░
░░░▌░▄▄▄▐▌▀▀░░ This is Bob
░▐░░░▄▄░█░▀▀ ░░
▀█▌░░░▄░▀█▀░▀ ░░ Copy and paste him so he can take over brainly.
░░░░░░░▀███▀█░▄░░
░░░░░░▐▌▀▄▀▄▀▐▄░░
░░░░░░▐▀░░░░░░▐▌░░
░░░░░░█░░░░░░░░█░
4 markers cost $7.04.
Which equation would help determine the cost of 7 markers?
Answer:
(7.04 / 4 = x) then x * 7
Step-by-step explanation:
x= 12.32
Please help thank you :)))
Answer:
x = 25.46
Step-by-step explanation:
[tex]x^2+9^2=27^2\\x^2+81=729\\x^2=648\\\sqrt{x^2} =\sqrt{648} \\x=25.46[/tex]
-2 [4 - 3x] + 5x - 2
Step-by-step explanation:
Given
-2 [4 - 3x] + 5x - 2
= - 8 + 6x + 5x - 2
= 11x - 10
Hope it will help :)❤
Answer:
11x-10
Step-by-step explanation:
-8+6x+5x-2
11x-10
Jai bought 2 pounds of grapes for $2.49 per pound and 3 muffins for $ .75 per muffin. How much did he pay for the grapes and muffins?
Answer:
$7.23
Step-by-step explanation:
(2 x 2.49) + (3 x .75) = 4.98 + 2.25 = $7.23
What should be added to x2 +xy+y2 to obtain 3x2 - 4xy - y2
Answer:
2x² - 5xy - 2y²
Step-by-step explanation:
Subtract x² + xy + y² from 3x² - 4xy - y² to obtain the expression to be added
3x² - 4xy - y² - (x² + xy + y² ) ← distribute by - 1
=3x² - 4xy - y² - x² - xy - y² ← collect like terms
= 2x² - 5xy - 2y²
Thus
adding 2x² - 5xy - 2y² to x² + xy + y² gives 3x² - 4xy - y²
How many days in 33 weeks?
Plss hellpppp....
Answer:
There are 231 ;)
Step-by-step explanation:
Answer:
231:)
Step-by-step explanation:
At Shop A, 2 pounds of crawfish costs $6. At Shop B, 5 pounds of crawfish costs $15. Jacoby says the cost per pound is the same at both shops. Is Jacoby correct? Explain your reasoning.
Answer:
Jacoby is correct.
Step-by-step explanation:
Shop A= $6 ÷ 2 = $3/pound
Shop B= $15 ÷ 5 = $3/pound
me ayudan con esta operacion? : 14 - 21 ÷ 7 + 105 ÷ 5
Answer:
32
Step-by-step explanation:
Why is the applied effort only ½ of the weight to be lifted in the movable single pulley system?
Answer: I would find that the anwser would be, It requires only ½ the effort to lift the load because there is more than 1 rope arm.
Step-by-step explanation
Just took a test on this, I passed
Can somebody help me please
Hurry please
Answer:
Mean
I'm gonna take a guess
uh if you help ill give u 5 stars?
Answer:
He can buy no more than 4 earrings.
Step-by-step explanation:
25-9.50= 15.50
15.50÷3.75= 4.1333333
Answer:
Step-by-step explanation: