Find the area of the polygon.
Solve for the value of r.
Answer:
14
Step-by-step explanation:
The two given angles are opposite angles and opposite angles always have the same measure. Knowing this, we can construct the following equation:
7r+6=8r-8
Subtract both sides by 6
7r+6-6=8r-8-6
7r=8r-14
Subtract both sides by 8r
7r-8r=8r-14-8r
-r=-14
Divide both sides by -1
r=14
I hope this helps!
Which of the following is the equation of the circle shown below?
Answer:
Step-by-step explanation:
Center is 6, -2
Radius is 7
(x-6)^2 + (y + 4)^2 = 7^2
==============
Please give brainliest, I really want to rank up, thank you!
A circular pool has a diameter of 24 feet. What is the area of the pool to the nearest tenth
of a square foot?
a) 75.4 square feet
b) 150.8 square feet
c) 452.4 square feet
d) 1,809.6 square feet
Answer:
c) 452.4 square feet
Step-by-step explanation:
HOPE THIS HELPS, MARK AS BRAINLIEST PLEASE NOT THE FILE VIRUS EXPLOITER
andrew, who is about 120 cm tall, notices that when he stands at the bottom of his garden, which is 20 meters away from his house, his dad, who is 180 cm tall, looks as big as the house when he is about 2.5 meters away. How high is the house ?
Answer: http://gestyy.com/eyLImX
Step-by-step explanation: go here
i need help please help!!!!!!!!!!!! i will give extra points
Answer:
90 cubic units
Step-by-step explanation:
6x3x5=90
x^2 +10x+21 factor this
Answer:
(x+3)(x+7)
Step-by-step explanation:
3 and 7 are factors of 21, and they add up to 10.
24 ÷ v x k when v=2 and k=4
Answer:
48
Step-by-step explanation:
24 ÷ v x k
24 ÷ 2 x 4
(Since it's multiplication and division, you just go from left to right in order)
12 x 4
48
Rewrite 7^-2 using a positive exponent an evaluate the result.
7. Mrs. Paulson is constructing a 90% confidence interval for the difference of means based on independent
simple random samples from two populations. The sample sizes are n, = 6 and n, =14. She draws dotplots
of the sample data to check one of the conditions for using two-sample i procedures. Which of the following
descriptions of those dotplots would suggest that it is safe to perform inference?
(a) Both dotplots are roughly symmetric. There are no outliers in either dotplot.
(b) Both dotplots are roughly symmetric. The dotplot of sample 2 has an outlier.
(c) Both dotplots are strongly skewed to the right. There are no outliers in either dotplot.
(d) Both dotplots are roughly symmetric. Both dotplots have one upper outlier
(e) i procedures are not recommended in any of these cases.
The description that will show that it is safe to perform inference is that (a) Both dotplots are roughly symmetric. There are no outliers in either dotplot.
What description would make it possible to make inferences?In order to use the two-sample t procedure to make inferences, certain conditions need to be met such as the sample being random and independent.
The variances for the groups in the data need to be equal which is why the presence of no outliers in either dotplot would present an safe opportunity to be able to perform inferences on the data.
In conclusion, option A is correct.
Find out more on two-sample t-tests at https://brainly.com/question/17438355.
100 Points for this
This series of transformations is performed on a quadrilateral:
a dilation by a factor of 4 with the origin as the center of dilation
a reflection across the y-axis
a 90° counterclockwise rotation about the origin
a translation 3 units down
Arrange the functions representing these transformations in the order in which the transformations occur.
(The tiles are)
f(x, y) = (-4x, 4y)
g(x, y) = (4x, -4y)
h(x, y) = (4x, 4y)
i(x, y) = (4y, 4x − 3)
j(x, y) = (4y, 4x)
k(x, y) = (-4y, -4x)
l(x, y) = (-4y, -4x − 3)
Answer:
l(x,y) = (-4y, -4x - 3)Step-by-step explanation:
Let's start with function (x, y)
Transformations in the given order result in following
A dilation by a factor of 4 with the origin as the center of dilation
This results in both coordinates multiplied by 4(x, y) → (4x, 4y)A reflection across the y-axis
This results in x-coordinate changing sign to opposite(4x, 4y) → (-4x, 4y)A 90° counterclockwise rotation about the origin
This results in x-coordinate swapping with negative y-coordinate (-4x, 4y) → (-4y, -4x)A translation 3 units down
This results in y-coordinate change by -3(-4y, -4x) → (-4y, 4x - 3)The final function is:
l(x) = (-4y, -4x - 3)Answer:
l(x) = (-4y, -4x - 3)
I got the same answer as Mhanifa and if you want the explanation check his, because mine sucks :(
A. using substitution find the value of the remaining unknown in each of the following formulas.
1.t=rs (s + 1) if r=4 and s=5
2.k=6-5q/2g if q=3 and g=8
3.p=a+b-2c if a=2, b=-1 and c=5
4.l=1/x - 2/y + z if x=4, y=6, and z=2/3
Answer:
Substitution means that we need to replace some of the variables by the given values.
1) t = rs*(s + 1) (if r=4 and s=5)
So we just need to replace r by 4 and s by 5 in the equation.
t = 4*5*(5 + 1) = 20*6 = 120
t = 120
2) k = 6 - 5q/2g (if q=3 and g=8)
We need to replace q by 3, and g by 8.
k = 6 - (5*3)/(2*8) = 6 - 15/16 = 5.167
k = 5.167
3) p = a + b - 2c (if a = 2, b = -1, c = 5)
Replacing the variables we get:
p = 2 + (-1) - 2*(5)
p = 2 - 1 - 10 = -9
p = -9
4) I = 1/x - 2/y + z (if x = 4, y = 6, and z = 2/3)
Replacing the variables we get:
I = 1/(4) - 2/(6) + (2/3)
I = 1/4 - 2/6 + 2/3 = 1/4 - 1/3 + 2/3
I = 1/4 + 1/3 = 3/12 + 4/12 = 7/12
I = 7/12 = 0.583
Below is the graph of a trigonometric function. It has a maximum point at (-5, 2.5) and a minimum point at
(-1.7, -4.5).
Answer:-1
Step-by-step explanation:
2.5+(-4.5) then / 2
A tennis tournament has 342 players. A single match involves 2 players. The winner of a match will play the winner of a match in the next round, whereas losers are eliminated from the tournament. The 2 players who have won all previous rounds play in the final game, and the winner wins the tournament. What is the total number of matches
Answer:
341 matches
Step-by-step explanation:
Given
[tex]Players = 342[/tex]
[tex]Match = 2\ players[/tex]
Required
Total number of matches.
The total number of matches is calculated by getting the number of matches in each round.
i.e.
[tex]Matches = \frac{Players}{2}[/tex]
So, we have:
Round 1
[tex]Matches = \frac{342}{2} = 171[/tex]
Round 2
[tex]Matches = \frac{171}{2} = 85\ R\ 1[/tex] [R 1 means remainder 1]
Round 3
[tex]Matches = \frac{85 + 1}{2} = \frac{86}{2} = 43[/tex]
[The remainder is added to each round]
Round 4
[tex]Matches = \frac{43}{2} = 21\ R\ 1[/tex]
Round 5
[tex]Matches = \frac{21+1}{2} = \frac{22}{2} = 11[/tex]
Round 6
[tex]Matches = \frac{11}{2} = 5\ R\ 1[/tex]
Round 7
[tex]Matches = \frac{5+1}{2} = \frac{6}{2} =3[/tex]
Round 8
[tex]Matches =\frac{3}{2} = 1 + 1[/tex]
Round 9
[tex]Matches = \frac{1+1}{2} =\frac{2}{2} = 1[/tex]
So, the total is:
[tex]Total = 171 + 85 + 43 +21 + 11 + 5 + 3 + 1+1[/tex]
[tex]Total = 341[/tex]
Annette had a 24 karat gold necklace with a mass of 2.3grams. she sold for $123.51.What was the price per gram of her necklace?
Answer:
$53.70 per gram
Step-by-step explanation:
Just divide the price (123.51) by the amount of grams (2.3) to get your answer, which should be $53.70 per gram
Hopefully this helps - let me know if you have any questions!
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answer:
Long = 6√3
Step-by-step explanation:
Reference angle = 30°
Hypotenuse = 12
Long = Adjacent = ?
Apply CAH:
Cos 30 = Adj/Hyp
Cos 30 = Long/12
12*cos 30 = Long
12*√3/2 = long (cos 30 = √3/2)
6√3 = long
Long = 6√3
Answer:
6√3
Step-by-step explanation:
To find the long leg first we have to find the short leg because to find the long leg we need to use short · √3.
hypotenuse =12, short = 1/2 of hypotenuse so short leg = 6 and finally long leg = 6√3
HELP ASAP!!! A padlock has a rotary dial of numbers from 0 to 59. The combination is a series of three numbers, each between 0 and 59. If you were to guess random numbers, what is the probability of guessing the combination correctly?
Answer
1/216000
Step-by-step explanation:
1/60 x 1/60 x 1/60
I hope this helps
The probability of guessing the combination correctly is extremely low, approximately 0.00046%.
What is probability?Probability is represented as the likelihood of an occurrence being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
There are 60 possible numbers on the rotary dial of the padlock, from 0 to 59. To calculate the total number of possible combinations, we can use the multiplication principle of counting.
Since the combination has three numbers, each of which may be any of the dial's 60 possible digit numbers, the total number of possible combinations is:
60 x 60 x 60 = 216,000
As a result, the padlock has 216,000 probable combinations.
If you were to predict random numbers, your chances of getting the proper combination are as follows:
1 / 216,000
This is due to the fact that there is only one accurate combination among the total of 216,000 conceivable combinations.
The likelihood of successfully guessing the combination is extremely low, around 0.00046%, implying that a human cannot open the padlock by randomly guessing the combination.
Learn more about probability here:
brainly.com/question/11234923
#SPJ6
What is the equation SA=B+1/2Pl used for
Answer:
To find the surface area of a pyramid
Step-by-step explanation:
The equation is used to find the surface area of a pyramid.
Your recipe for muffins says you have to 3 times as many blueberries than strawberries. Write an expression for the situation. Next, explain how you know your expression matches the situation.
Answer:
n × 3 = (answer)
Step-by-step explanation:
If you need 3 times as many blueberries than strawberries for the recipe, then multiplying the number of strawberries you have by three will get you the number of blueberries that you need.
The charitable foundation for a large metropolitan hospital is conducting a study to characterize its donor base. In the past, most donations have come from relatively wealthy individuals; the average annual donor income in the most recent survey was right at $100,000. The foundation believes the average has now increased. A random sample of 200 current donors showed a mean annual income of $103,157 and a standard deviation of $27,498. To perform this study, we should form a null hypothesis stating that the average is
Answer:
The null hypothesis will be that the average annual donor income is less or equal to $ 100,000
Step-by-step explanation:
The claim is mostly treated as alternate hypothesis .
In this question the claim is given as the average annual donor income has increased therefore it is written as
Ha: u > 100,000
The null hypothesis is reverse of the alternate hypothesis
H0: u ≤ 100,000
The null hypothesis will be that the average annual donor income is less or equal to $ 100,000
The family is hiking in the mountains at a rate of 6 miles every 3 hours
How long would it take the family to hike 7.5 miles?
(Hint: You will have a decimal or fraction in your final answer!)
Answer:
Time = 3 hours & 45 minutesStep-by-step explanation:
Distance = 6 miles
Time = 3 hours
Speed = Distance ÷ Time
Speed = 6 ÷ 3
Speed = 2 miles/hour
....................................................
Speed = 2 miles/hour
Distance = 7.5 miles
Time = Distance ÷ Speed
Time = 7.5 ÷ 2
Time = 3.75 hours
3.75 hours = 3 hours & 45 minutes
Answer:
Step-by-step explanation:
Time taken to travel 6 miles = 3 hours
Time taken to travel 1 mile = 3 ÷ 6 = [tex]\frac{3}{6}=\frac{1}{2} hour[/tex] = 30 minutes
Time taken to travel 7.5 miles = 30 * 7.5 = 225 minutes = 3.45 hours
Solve x2 - 8x - 9 = 0.
Rewrite the equation so that it is of the form
x2 + bx = c.
Answer:
x2-8x=9
Step-by-step explanation:
you move the negative nine to the other side of the equals to become positive
Please help me with this question if you can
Answer:
c
Step-by-step explanation:
supplementary means together that equal 180°, implying that 4 and 1 are equal, five and three are equal, which makes line k in line j parallel to each other.
What is the mode of the set of data points given below? 1 15 12 6 12 9 12 3 6 12 15 9 15 12 15
Answer:
the mode is 12
Step-by-step explanation:
Arrange the numbers in order : 1 , 3, 6, 6, 9, 9, 12, 12, 12, 12, 12, 15, 15, 15, 15
Then count how many numbers that appears the most, so the number that appears the most is 12, therefore, the mode in the data set is 12 .
PLZZZ HELP!!! ASAP
Will mark brainiest :)))
Answer:
Step-by-step explanation: i wont tell you the answer but ill thell you how to do it,soo the strat is to count where the line is as a different part then u just add em
this is only the explanation how to do it with you want the answer ask in the comment section
Step-by-step explanation:
Answer:
4. 1230
Step-by-step explanation:
A rectangle has parallel sides, so we know two sides are 30. 30+30=60. We subtract 142-60=82. Then we divide by two: 82/2=41. Then you know that both sides are 41 and 30. Multiply, and you get 1230.
7r + 6s - t for r = -5, s = 2, and t = 4
A -19
B -27
C -43
D -51
Answer:
B. -27
Step-by-step explanation:
7*-5= -35 6*2 = 12 . t= 4
-35 + 12 = -23
-23 - 4 = -27
Answer: B. -27
Step-by-step explanation:
7(-5) + 6(2) - 4
-35 + 12 - 4
-23 - 4
= -27
how does the stimulus check impact society please help me please i really need help please
People started getting stimulus checks during the time when c0vid-19 was a major issue because most places where people would work were closed, so people were getting money through stimulus checks because they were basically unemployed. This money went back into the economy to buy mostly essentials and health products, so therefore it helped businesses that sold these kinds of things.
Pictures are in order !
Did you attach the photos because I don't see the picture???
NEED HELP ASAP!! 35 POINTS
Rob is a geologist. He is surveying a conical crater that was created by a meteor impact. From one end to another, the crater forms a V shape. The deepest part of the crater is 400 feet deep. The depth of the crater varies at a rate of 0.25 foot with the horizontal distance from the west end of the crater.
The equation that models the depth of the crater, d, in feet, with respect to the horizontal distance in feet from the west end of the crater, h, is d =
. The depth of the crater is 250 feet at horizontal distances of
and
feet from the west end.
Answer:
equation: d(h) = 0.25|h -1600| -400 depth is 250 ft at 1000 ft and 2200 ft from the west edgeStep-by-step explanation:
The crater shape can be modelled by an absolute value function with a slope of 0.25. The vertex of the function will not be at (0, 0) but will be at (1600, -400). The usual methods of translating functions apply. Horizontal displacement of the vertex is subtracted from the independent variable; vertical displacement is added to the function value.
d(h) = 0.25×|h -1600| -400
We know the horizontal displacement is 1600 ft, because the depth changes at a rate of 1/4 foot for each horizontal foot. A depth change of 400 feet will require 1600 horizontal feet to accomplish.
__
At a depth of 250 ft, the distance from the west edge can be found from ...
-250 = 0.25|h -1600| -400
150 = 0.25|h -1600| . . . . . . . . add 400
600 = |h -1600| . . . . . . . . . . . multiply by 4
This resolves to two equations:
-600 = h -1600 ⇒ h = 1000
600 = h -1600 ⇒ h = 2200
The depth is 250 ft at distances of 1000 ft and 2200 ft from the west edge.
Answer:
0.25|x-1,600|-400 / 1,000 / 2,200
Step-by-step explanation:
99% sure
Joe needs to get to his house,which is 106 miles away in 2 hours.How fast does he need to drive
Answer:
53
Step-by-step explanation:
106 miles per hour would get him home in 1 hour but it takes 2 hours so you can divide 106 by 2 to 53 miles per hour.