13. A circle with radius x is shown below. The diagram is not drawn to scale. (1 point)
What is the value of x? Round the answer to the nearest tenth.
Answer: 16.1
Step-by-step explanation:
x^2 = 8^2 + (28/2)^2
x^2=64 + 196
x^2= 260
Take the square root of 260 and get 16.1!
The value of x is x=16.1
Chord
The perpendicular from the center of a circle bisects the chord
RadiusA line from the center of the circle to the circumference of the circle is the radius of the circle
Lets connect the center of the circle to the other end of the chord that is at the circumference of circle
The diagram attached below
The line OA from the center bisects the chord
AB= half of 28 = 14
the triangle AOB forms a right angle triangle
apply Pythagorean theorem to find out the value of x
[tex]x^2=8^2+14^2\\x^2= 64+196\\x^2=260\\\sqrt{x^2}=\sqrt{260} \\ x=16.1[/tex]
The value of x is 16.1
Learn more information about 'perpendicular line ' here
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A catalog store has 9% of its orders returned for a refund. The owner predicts that a new candle will have 1,284 returns out of the 16,496 sold. Do you agree with this prediction? Select from the drop down menu the words and numbers into the statements to complete the explanation.
Answer:
No. 1,284 is not 9% of 16,496
Step-by-step explanation:
9% of 16,496
9/100 × 16496
1484.64
1284 is not 9% of 16,496
can someone plz help me with i don't understand it at allll
Calculating Vacation Costs
Situation:
Imagine that you’ve just won the coveted “Most Likely to Succeed in Math” award! Your prize is $4,500.00, which must be applied to a vacation. You will be provided a list of choices. You, a parent/guardian, and two others will be traveling by car, and you must plan all the expenses for your trip without exceeding $4,500.00.
Special Considerations:
• Do not include costs for souvenirs or extras. These items do not get deducted from the prize money.
• Travel and lodging must be calculated for a round trip.
• You may need two hotel rooms, such as one for girls and one for boys, so make sure to consider who is in the group. All boys or all girls can stay in one room.
• You have various choices and options. Choose what will give you an outstanding vacation.
• You may remain on vacation as long as the prize money is available.
• You must pay all expenses of the group of 4.
• Calculate costs on this sheet.
• Be sure to total costs.
Answer:
i don't understand
Step-by-step explanation:
A normal distribution has mean μ and standard deviation σ .An x-value is randomly selected from the distribution. Find P(μ−σ≤x≤μ+ 3σ)
P(μ−σ≤x≤μ+ 3σ)=
Answer:
The probability that a randomly selected x-value lies between μ − 2σ and μ is the shaded area under the normal curve shown. P(μ − 2σ ≤ x ≤ μ) = 0.135 + 0.34 = 0.475
Step-by-step explanation:
Correct Answer is 0.8385
Empirical Rule:
The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% within two standard deviations, and 99.7% within three standard deviations from the mean.
Here,
The 68-95-99.7 rule for the normal distribution says:
P(μ - σ ≤ x ≤ μ + σ) = 0.68
P(μ - 2σ ≤ x ≤ μ + 2σ) = 0.95
P(μ - 3σ ≤ x ≤ μ + 3σ) = 0.997
By taking the left half of the first interval and the right half of the last
interval, we have:
P(μ - σ ≤ x ≤ μ + 3σ) = 0.5*P(μ - σ ≤ x ≤ μ + σ) + 0.5*P(μ - 3σ ≤ x ≤ μ + 3σ) =
0.34 + 0.4985 = 0.8385
Learn more about Standard normal distribution here:
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#SPJ2
A pizza place offers nine toppings on their pizzas. They are currently offering a special on pizzas with three toppings.
How many different combinations of three toppings can be created?
Answer:
84
Step-by-step explanation:
Please help me find the volume of the triangular prism and the area of the hexagon.
Ms. Pettini's history class has too many students in it. If the class were split
into equal parts to form 3 new classes, each class would have no more than
14 students in it.
If s= the number of students in Ms. Pettini's history class, which
mathematical sentence expresses the information above?
Answer:
s/3 <= 14
Step-by-step explanation:
The number of students is divided by three because of the three clauses, hence s/3. Each new class can have 14 or less students. Therefore, s/3 <= 14.
help quick!!!!?????
Omg I’m so sorry to interrupt but I really need help on my homework :( it’s two questions for 20 points||| can someone please help
Answer:
none
Step-by-step explanation:
57+75+95= 227
24+70+75= 169
48+64+80= 192
19+27+80=73
A right triangle equals 180 degrees.
Help me answer this!!
Find the decimal equivalent to 415.
0.26
0.2ModifyingAbove 6 with bar
ModifyingAbove2.6 with bar
ModifyingAbove2.6 with bar
Answer:
[tex](B)0.2\overline{6}[/tex] (0.2ModifyingAbove 6 with bar)
Step-by-step explanation:
We want to find the decimal equivalent of 4/15.
[tex]\dfrac{4}{15}=0.266666666.....[/tex]
Since the number 6 recurs/repeats indefinitely, we write the recurring decimal as:
[tex]0.266666666.....=0.2\overline{6}\\$Therefore:\\4/15=0.2\overline{6}[/tex]
The correct option is B.
Answer:
i got you bro the answer is 0.26 with a line on top of the 6
The slope of a line is -3 and it crosses the y-axis at (0,2) Which is the correct equation of the line in slope-intercept form.
Answer:
The correct equation is Y= -3 x + 2
Step-by-step explanation:
Slope intercept form is Y= mx + b. First plug the slope in for the variable "M."
The Y-intercept is the point on the graph where the "x" value is zero, so, your Y-intercept is 2. Then, plug that in for your "b" value. Hope this helps! Please mark Brainliest! :)
The length of a rectangle is twice its width. If the width is 10, what is the area? Can you help me? Please?
Answer:
Area is 200
Step-by-step explanation:
First off since it said that the width is 10, We add another 10 to the length, making it 20.
Next, you multiply 20 and 10 together,
Giving you 200.
I hope I was helpful!
Answer:
200
Step-by-step explanation:
the formula for area is length * width you would 10 * 200
What is the volume of the following rectangular prism?
Answer:
529 units squared
Step-by-step explanation:
Please help me please
Answer:
⅓
Step-by-step explanation:
Total 6 possible outcomes
Same colour:
White, white
Blue, blue
P(same colour) = 2/6 = 1/3
Answer:
1/3
Step-by-step explanation:
Looking at the possibilities ( there are 6)
There are 2 that have the same shirt and shorts of the same color ( white white and blue blue)
That means we have 2 out of 6 that meet the requirements
2/6 = 1/3
What is the surface area of a cylinder with base radius 3 and height 6?
Either enter an exact answer in terms of 7 or use 3.14 for and enter your answer as a decimal.
6
square units
Report a problem
Stuck? Watch a video or use a hint.
Answer:
I think the answer is 169.65
Answer:54 pi
Step-by-step explanation:
Which value for x will make 3x + 10 > 75 correct?
Answer:
3x25+10=85
Step-by-step explanation:Answer is E
Hope this helped :)
I need a step by step solution ASAP
Answer:
C 4 /x^2
Step-by-step explanation:
20x / 5x^3
First divide the numbers
20/5 = 4
Then divide the variable
x/x^3 = x/ xxx = 1/ xx = 1/x^2
We are left with
4/x^2
What is the measure of C
Answer:
60 degrees
Step-by-step explanation:
Since all sides are equal length, then all three angles are the same. In a triangle, the three angles should add up to 180. So 180 divided by 3 equals 60.
Answer:
C. 60
Step-by-step explanation:
60 x 3 = 180
HELP ASAP WILL MARK BRAINLIEST
IF YOU DONT KNOW DONT ANSWER
Answer:
c is 120 degrees
witch of the expressions below could be used to find the amount of space occupied by the cone
Answer:
V = 1/3 * πr²*h
Step-by-step explanation:
That's the formula for volume of a cone
I need help please. I WILL GIVE BRAINLY!!!!
Answer:
1.
The amount of time could be related to the battery charge by equation:
y = ax + b
a = 16% per 30 min = 32% per hour
b = 10%
=> y = 32x + 10
2.
In term of charging time, the rate of charging is 32% per hour
Chris needs at least a C+ average to pass his math class. His test grades in the class are shown below. 68, 80, 73, 72 The lowest C+ grade is 76. If there are only 5 tests, what is the minimum grade that Chris needs to get on his last test? A. 97 points B. 89 points C. 85 points D. 87 points
Answer:
C
Step-by-step explanation:
Answer:
B 89 points
Step-by-step explanation:
you calculate the mean, basically trial and error. So you add one of the answers to 68+80+73+72 and then divide by 5 because there are five tests
hope this helped<33
PLZ HELP meeeeeeeeeeeeeeeeeee
for the first problem:
the equation is x+40=90 (degrees) because since there is a little square, that means that angle is 90 degrees. Since it has been split we can use algebra to solve it. x=50 degrees. They are complementary angles because the add up to 90 degrees.
second one: x= 180-62 degrees or x+62=180 degrees. Since this one is a straight line and all straight lines equal 180 degrees, we can use the same algebra logic and put in 62 degrees. x=118 degrees, and the angles are supplementary because they add up to 180 degrees.
hope this helped!
Answer:
Question 1: x=50°
Question 2: x=118°
Step-by-step explanation:
A right angle has a total of 90 degrees
a straight line has a total of 180 degrees
Question 1:
The first problem is an example of a complementary angle. To work out the value of x you would need to Minus the angle of 40 from the total of 90, this gives you 50. This is because question 1 is a right angle and so is 90°, also by subtracting the angle form the total of 90 you are isolating the value of x.
1) Minus 40 from 90.
[tex]90-40=50[/tex]°
Question 2:
The second question is an example of a supplementary angle. To work out the value of x in the second question you would minus the angle of 62 from the total of 180, this gives you 118. This is because question 2 is a straight line and so has a total angle of 180°, also by subtracting the angle from the total we are isolating the value of x.
1) Minus 62 from 180.
[tex]`180-62=118[/tex]°
Probability that Garrick is certified = 25
Probability that Molly has not had an accident = 71.87
Probability that Ryan is both certified and has never had an accident =
Answer:
Probability that Ryan is both certified and has never had an accident is undefined
Step-by-step explanation:
Given;
Probability that Garrick is certified = P(G) = {25}
Probability that Molly has not had an accident = P(M) = {71.87}
Probability that Ryan is both certified and has never had an accident = P(R) = {?}
Probability of Ryan being certified was not defined,
Probability that Ryan has not had an accident was not also defined
Therefore, Probability that Ryan is both certified and has never had an accident = P(R) = is undefined, since Ryan is not within the given set.
ame
Ex 4 (DOK 2): Equivalent equations have exactly the same
solution set. Select Yes or No to indicate whether each
equation is equivalent to the given equation.
Given: 47x + 2 = -8
Yes
No
Equation
vx + 2 = -2
x + 2 = 4
x = 2
Answer:
yes? idk
Step-by-step explanation:
Find the missing angle.
Which equation represents the relationship between the angles in the figure?
A. 88 + b = 90
889
B. 88 + b = 180
a. 2b + 88 = 90
D. 2b + 88 = 180
Solution:
Suki paid the following amounts for her last six pairs of jeans before tax:
$44, $38, $45, $49, $125, $50
A) Mean
B) Mode
C) Median
Will give brainliest answer
Answer:
d = 13 cm
r = 6.5 cm
Step-by-step explanation:
The diameter is the distance from side to side going through the center
d = 13
The radius is 1/2 of the diameter
r = d/2 = 13/2 = 6.5 cm
please help me with this one question, thank you
Answer:
See attachment
Step-by-step explanation:
Answer:
Step-by-step explanation: You’re going to plot a point on the y-axis ay the number 1 then your going to move up two spaces and left three spaces and then draw a line through the two points
Mark placed a pool in his backyard, which is enclosed by a triangular fence. The radius of the pool is 20.5 feet.
Answer:
A. 3,864 ft²
B. 1,319.585 ft²
C. 2,544.415 ft²
Step-by-step explanation:
Area of triangle:
½ × 92 × 84
3864 ft²
Area of circle:
pi × r²
3.14 × 20.5²
1319.585 ft²
Difference:
3864 - 1319.585
2544.415 ft²
