Can somebody help me with this question
Answer:
[tex]\text{a) }1,080^{\circ}, \\\text{b) }360^{\circ}, \\\text{c) }135^{\circ}, \\\text{d) }45^{\circ}[/tex]
Step-by-step explanation:
a) The sum of the interior angles of a polygon with [tex]n[/tex] sides is equal to [tex](n-2)180[/tex]. Since an octagon has 8 sides, substitute in [tex]n=8[/tex]:
[tex](6-2)180=\boxed{1,080^{\circ}}[/tex]
b) The sum of the exterior angles for any polygon is equal to [tex]360^{\circ}[/tex].
c) By definition, all regular shapes have equal angles and sides. Since we've found the total sum of the interior angles of an octagon in part a, each interior angle of a regular octagon must be [tex]\frac{1080}{8}=\boxed{135^{\circ}}[/tex]
d) Similar to part c, all regular shapes must have equal angles and sides. From part b, we know the sum of the exterior angles of a octagon is [tex]360^{\circ}[/tex], thus we have [tex]\frac{360}{8}=\boxed{45^{\circ}}[/tex]
what would be the value of y in the equation 2y + 7 = 7
y=0
Schools almost out, good luck!!
Volume of Prisms and Cylinders
a. 339.12 cu. in.
b. 113.04 cu. in
c. 226.08 cu. in.
d. 1356.48 cu. in
Please select the best answer from choices provided
Answer:
A. 339.12 cu. in.
Step-by-step explanation:
I calculated it logically
Which fraction shows a correct way to set up the slope formula for the line containing (2, -4) and (-6, 1)?
Answer:
Step-by-step explanation:
slope=y2-y1/x2-x1
here x1=2 , y1=-4 , x2=-6 , y2=1
=1-(-4)/2-(-6)
=1+4/2+6
=5/8
-5/8 fraction shows a correct way to set up the slope formula for the line containing (2, -4) and (-6, 1)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
the slope formula for the line containing (2, -4) and (-6, 1) we calculate by plugging the values to the slope formula.
m=1-(-4)/-6-2
m=1+4/-8
m=-5/8
Hence, -5/8 fraction shows a correct way to set up the slope formula for the line containing (2, -4) and (-6, 1)
To learn more on slope of line click:
https://brainly.com/question/14511992
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On the interval 0° < 0 < 380°, how many values of 0 satisfy the equation 2 cos0 + cos 0 - 1 = 0?
Answer:b
Step-by-step explanation:
Expand 20 - 3 (5w+2) - 4w
14 - 19w
26 - 11w
23 + 9w
Which one ?
find the value of x.
The mayor is interested in finding a 98% confidence interval for the mean number of pounds of trash per person per week that is generated in the city. The study included 144 residents whose mean number of pounds of trash generated per person per week was 34.5 pounds and the standard deviation was 7.9 pounds. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a
Answer:
32.966 ; 36.034)
Step-by-step explanation:
Given :
Sample size , n = 144
Mean, x = 34.5
Standard deviation = 7.9
The confidence interval :
Xbar ± Margin of error
Margin of Error = Zcritical * s/√n
Zcritical at 98% = 2.33
Margin of Error = 2.33 * 7.9/√144 = 1.534
Lower boundary = 34.5 - 1.534 = 32.966
Upper boundary = 34.5 + 1.534 = 36.034
(32.966 ; 36.034)
hhhhhhhhelpp meeeeeee
Answer:
with what?
Step-by-step explanation:
pls help quicklyyy i will give 10 points pls
Answer:
[tex]0.156[/tex]
Step-by-step explanation:
[tex]15.6 \div 100[/tex]
[tex]0.156[/tex]
Hope it is helpful...5 -3 over 2 x > 1 over 3
Answer:
It's true because 5-3/2 is grater than 1/3
On their way up the hill, Jack and Jill were stopped by their parents. It seems the two of them were trying to skip out on some chores. They were told to mow the lawn, clean the kitchen, and sweep the leaves off the deck. If Jack can complete all the chores in 3 hours by himself and Jill takes only 2.25 hours to get all of it done on her own, how many minutes will it take for the two of them to get the work done together
Answer:
77.14 minutes.
Step-by-step explanation:
Jack's time = 3 hours
Jill's time = 2.25 hours = 2 1/4 = 9/4 hours
Combined time = x
Rates :
Jack = 1/3 ; jill = 1 / 2.25 = 1 / 9/4 = 4 /9
Combined rate = 1/x
Setting up the equation :
1/3 + 4/9 = 1/x
Lcm of 3 and 9 = 9
(3 + 4) / 9 = 1/x
7/9 = 1/x
Cross multiply :
7x = 9
x = 9/7 hours
x = (9/7)* 60
x = 77.14 minutes
Combined time = 77.14 minutes.
any one got reddit
mine is u/RealAd8482
I use to have reddit sorry
Answer:
Yes
Step-by-step explanation:
Mines is u/Brown_Bear17
What is the exact value of tan 75 degrees
Answer: 56?
Step-by-step explanation:
The set of all numbers on a number line are called?
Answer:
This second number line is called an integer number line, since integers are the set of numbers including all whole numbers and their negative opposites. Two opposite numbers are the same distance from zero on the number line, but on opposite sides. For example, 3 and -3 are opposites.
Step-by-step explanation:
I hope it's help u
The living room in a new house has the dimensions shown. What is the volume of the room?
Answer:
v = 220 yd²
Step-by-step explanation:
Small portion
v = 5 * 4 * 3
v = 60 yd²
Large portion
v = 9 * 6 * 3
v = 162 yd²
Total
v = 60 + 162
v = 220 yd²
What is the name of this poligon?
A. Rhombus
B. trapezoid
C. rectangle
D. Square
Answer:
the correct answer is A. Rhombus
The answer is D (Square)
Because the sides of a square are equal.
The probability that a battery will last 10 hours or more is 80%, but the probability that a battery will last 15 hours or more is only 15%. What is the probability that a battery will last 15 hours or more given that it has lasted 10 hours or more
Answer:
0.1875 = 18.75% probability that a battery will last 15 hours or more given that it has lasted 10 hours or more.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Lasting 10 hours or more.
Event B: Lasting 15 hours or more.
The probability that a battery will last 10 hours or more is 80%.
This means that [tex]P(A) = 0.8[/tex]
Probability of lasting 10 hours or more and 15 hours or more.
This is the probability of lasting 15 hours or more(if it has lasted 15 or more, it has lasted 10 or more).
The probability that a battery will last 15 hours or more is only 15%, which means that [tex]P(A \cap B) = 0.15[/tex]
What is the probability that a battery will last 15 hours or more given that it has lasted 10 hours or more?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.8} = 0.1875[/tex]
0.1875 = 18.75% probability that a battery will last 15 hours or more given that it has lasted 10 hours or more.
Topic Test
Find the surface area of a rectangular prism.
a. 2468 sq. ft.
b. 6240 sq. ft.
c. 1234 sq. ft.
d. 1844 sq. ft.
Please select the best answer from choices provided
Answer:
A. 2468 sq. ft.
Step-by-step explanation:
I calculated it logically
Mr. Assan had 492 tickets left after the movie. He started with 2,009 tickets. How many tickets did Mr. Assan sell?
Answer:
1,517
Step-by-step explanation:
2,009 - 492 = 1,517
Two numbers are in the ratio 5:6. If the smaller one is decreased by 5 and
the other is increased by 3, the new ratio is 2:3. Find the number.
Answer:
Smallest Number = 35
Other Number = 42
Step-by-step explanation:
Let the smaller number be x.
Let the other number be y.
Given:
x : y = 5 : 6
That is,
[tex]\frac{x}{y} = \frac{5}{6}[/tex]
[tex]=> 5y = 6x\\\\=>x = \frac{5y}{6}[/tex]
Next: Let the smaller number be reduced by 5, x - 5
Let the other number be increased by 3, y + 3
Given : (x - 5) : (y + 3) = 2 : 3
That is,
[tex]\frac{x-5}{y+3} = \frac{2}{3}\\[/tex]
[tex](x-5) \times 3 = (y+3)\times 2\\\\substitute \ x = \frac{5y}{6}\\\\3(\frac{5y}{6} -5) = 2y + 6\\\\\frac{5y}{2} - 15 = 2y + 6\\\\\frac{5y}{2} - 2y = 6 + 15\\\\\frac{5y-4y}{2} = 21\\\\y = 21 \times 2 = 42\\\\Substitute \ y \ in \ x = \frac{5y}{6} \\\\x = \frac{5 \times 42}{6} = 35[/tex]
Find the slope of the line to the right.
9514 1404 393
Answer:
-3/2
Step-by-step explanation:
Points are marked 2 units apart on the x-axis. Between a given point and the one to its right, the y-value changes by -3. The slope is ...
slope = rise/run = (change in y)/(change in x)
slope = -3/2
Please Help! 100 Points to whoever does!
Answer:
cross multiply
(3+2) 10^3==
5*10^3
Simplify each expression using Order of Operations.
a. 2(3 + 4) + 3 to the 3rd power
b. 5 + (3 to the 2nd power - 2 to the 2nd power)
Answer:
a) 4,913
b) 10
Step-by-step explanation:
a) [2(3 + 4) + 3]³
= [2(7) + 3]³
= (14 + 3)³
= 17³
= 4913
b) 5 + (3² - 2²)
= 5 + (9 - 4)
= 5 + 5
= 10
Teresa has $3.60 in quarters and nickels. If she has 36 coins total, the number of quarters multiplied by the number of nickels is equal to what number?
9514 1404 393
Answer:
243
Step-by-step explanation:
Let q represent the number of quarters. Then (36-q) is the number of nickels. The total value of the coins is ...
0.25q + 0.05(36 -q) = 3.60
0.20q = 1.80 . . . . . . . . . . . . . simplify, subtract 1.80
q = 9 . . . . . . . . . . . . . . . divide by 0.20
36 -q = 36 -9 = 27 . . . . the number of nickels
The product of the number of quarters and the number of nickels is ...
(9)(27) = 243 . . . the product of interest
please help lolz ty besties
Write the function
F(x)= 5x^2+10x+16 in standard form
Answer:
[tex]f(x) = 5x^2 + 10x + 16[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5x^2 + 10x + 16[/tex]
Required
Write in standard form
The standard form of a quadratic function is:
[tex]f(x) = ax^2 + bx + c[/tex]
This implies that: [tex]f(x) = 5x^2 + 10x + 16[/tex] is already in standard form
If it takes 8 people to build a shed in 6 days, how long will it take 12 people?
Answer:
Step-by-step explanation:You can dowly/3fcEdSxnload the ans[tex]^{}[/tex]wer here. Link below!
bit.[tex]^{}[/tex]
Answer:
4 days
Step-by-step explanation:
(8×6)/12 = 48/12 = 4
Can someone help me with this? Please and thank you!
Answer:
She should find the squares between 4.2 and 4.3
Step-by-step explanation:
The square of 4.2 was too low and the square for 4.3 was too high so the answer is between the two.
Similar Triangles
You are visiting the Unisphere at Flushing Meadow Park in New York. To estimate the height of the stainless steel model of Earth, you place a mirror on the ground and stand where you can see the top of the model in the mirror. The Unisphere is 100 feet from the mirror and you are standing 4 feet from the mirror. If your height is 5.6 feet, what is the estimated height of the Unisphere? The diagram is not drawn to scale.
a. 140 feet
b. 22.4 feet
c. 2,240 feet
d. 71 feet
Please select the best answer from the choices provided
Answer:
A. 140 feet
Step-by-step explanation:
I calculated it logically