The circle with center (0,6) containing the point (74,2) has an equation of x² + (y - 6)² = 74.1²
How to calculate the equation of a circle
The equation of a circle is:
(x - h)² + (y - k)² = r²
Where (h, k) is the center and r is the radius.
The circle with center (0,6) containing the point (74,2). Hence:
[tex]Radius=\sqrt{(2-6)^2+(74 -0)^2}=74.1\ unit[/tex]
The equation is:
x² + (y - 6)² = 74.1²
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Find the value of x to the nearest tenth.
26.2
26.3
80.8
1,530
Answer:
x = 26.3
Step-by-step explanation:
There are three trigonometric rules that this question will apply to, they are:
[tex]Sin\theta\frac{opp}{hyp} Cos\theta\frac{adj}{hyp} Tan\theta\frac{opp}{adj}[/tex]
Where opp is the length of the side opposite to angle Φ, hyp is the hypotenuse of the triangle and adj is the length of a side adjacent to angle Φ.
In the provided picture, angle Φ has been provided alongside the hypotenuse with the opposite side length needing to be calculated. A trig function that includes all three of these must be used. The only one that does have all three is sin, ergo it is what we will use.
In the current equation form, the subject is incorrect and need to be changed so that it becomes the opposite side.
[tex]Sin\theta = \frac{opp}{hyp}\\ opp = sin\theta \cdot hyp[/tex]
Plug the known values in:
[tex]x = Sin(18\textdegree) \cdot 85\\x = 0.3090169 \cdot 85\\x = 26.266\\x = 26.3[/tex]
Hope this helps!
A construction crew has just built a new road. They built the road at a rate of 3 kilometers per week. They built 18.75 kilometers of road. How many weeks did
it take them?
Answer:
6.25 weeks
Step-by-step explanation:
Take 18.75 and divide it by 3, since the crew is finishing 3 km per week. You get 6.25, so it took the crew 6.25 weeks to finish the road.
Hopefully this helps- let me know if you have any questions!
X 2.6.PS-14
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Marcia drew a plan for a rectangular piece of material that she will use for a blanket. Three of the
vertices are (-2.8, -1.7), (-2.8,3.7), and (2.8,3.7). What are the coordinates of the fourth vertex?
The coordinates of the fourth vertex are 1
(Type an ordered pair, using integers or decimals.)
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Answer:
it should be (2.8,-1.7) hope it helps
please help me with this, I will give brainliest.
find the value of x round to the nearest 10th
[tex]\tan x = \dfrac{\text{Opposite}}{\text{Adjacent}}\\\\\implies \tan x = \dfrac{12}{6}\\\\\implies \tan x = 2\\\\\implies x = \tan^{-1} (2)=63.4^\circ[/tex]
Answer:
x ≈ 63.4°
Step-by-step explanation:
using the tangent ratio in the right triangle.
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{12}{6}[/tex] = 2 , then
x = [tex]tan^{-1}[/tex] ( 2) ≈ 63.4° ( to the nearest tenth )
The airplane flew 4,848 miles in 8 hours. How many miles per hour did it fly?
Answer:
606 MPH
Step-by-step explanation:
4848/8=606
Answer:
606 mph
Step-by-step explanation:
i did 4848 divided by 8
I dont understand what this is really telling me. can someone explain?
Answer:
B
Step-by-step explanation:
It's where the line goes over the x line
Answer:
B,
Step-by-step explanation:
The zeros are the x values where the graph crosses the horizontal x-axis.
These are at x = 0 and x = 5.
What is the approximate area of the unshaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question. A normal curve with a peak at 0 is shown. The area under the curve shaded is 1 to 2. Z Probability 0. 00 0. 5000 1. 00 0. 8413 2. 00 0. 9772 3. 00 0. 9987 0. 14 0. 16 0. 86 0. 98.
The approximate area of the unshaded region under the standard normal curve is 0.86 the option third is correct.
It is given that the standard normal curve shows the shaded area in the curve.
It is required to find the approximate area of the unshaded region under the standard normal curve.
What is a normal distribution?It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.
In the curve showing the shaded region area between:
[tex]\rm P(1 < Z < 2)[/tex]
First, we calculate the shaded region area:
From the data given the value of Ф(1) = 0.8413.
P(Z<1) = 0.8413 and
P(Z<2) = 0.9772
The area of the shaded region:
= P(Z<2) - P(Z<1)
= 0.9772 - 0.8413
= 0.1359
The area of the unshaded region:
= 1 - The area of the shaded region ( because the curve is symmetric)
= 1 - 0.1359
= 0.8641 ≈ 0.86
Thus, the approximate area of the unshaded region under the standard normal curve is 0.86 the option third is correct.
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I need help with this please extra points for the help.
Answer:
1/3
explanation:
there are total 6 colour boxes.among which 2 are redso probability:
2/61/3[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Number of Favorable outcomes (red)= 2
Total outcomes = 6
So, the probability of getting red is :
[tex]\qquad \sf \dashrightarrow \: \dfrac{2}{6} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3} [/tex]
[tex]・ ．━━━━━━━†━━━━━━━━━．・[/tex]
Sue is touring San Francisco with her family. They want to visit the Golden Gate Bridge, Alcatraz, and Chinatown before their dinner reservations at 7:30 P.M. They want to spend 45 minutes at the Golden Gate Bridge, 2 hours and 30 minutes on the tour of Alcatraz, and 1 hour and 15 minutes in Chinatown. What is the latest time Sue's family can start their tour of San Francisco and still make it to dinner on time?
please help n explain ily
Answer:
3pm
Step-by-step explanation:
so for this you want to work backwards, starting at 7:30pm because that's when they have dinner.
how i would solve this is I would add up all the amount of time they want to tour around San francisco
so 45 + 1hr15mins = 2hrs
2hrs +2hrs30mins= 4hrs30mins
so starting at 7:30 take away 4hrs 30mins
7:30 - 4hrs = 3:30pm
3:30 - 30 minutes = 3pm
They must start their tour at 3pm.
hope that helps :)
Answer:
The latest time Sue's family can start their tour but still make it home for dinner would be:
3:00 p.m
Step-by-step explanation:
Starting at 7:30pm because that's when they have dinner:
45min. + 1hr & 15mins = 2hours
2hours + 2hours & 30mins= 4hours & 30mins
Starting at 7:30 take away 4hrs 30mins:
7:30p.m - 4hrs = 3:30p.m
3:30 - 30 minutes = 3:00p.m
In conclusion, they must start their tour at 3:00 p.m to be able to reach dinner by 7:30 p.m (which is the latest time).
Have a great rest of your day
#TheWizzer
Whose procedure is correct? keisha’s procedure is correct. david’s procedure is correct. both procedures are correct. neither procedure is correct.
Both procedures are correct. Because the end answer and the step-by-step explanation are right.
What is the procedure?It is a step-by-step explanation of the equations. The procedure is important
It explains the sequence of actions and specifies what has to be done at each stage, frequently specifying when and by whom the procedure should be conducted.
The end answer for Keisha's solution is;
[tex]\rm cos \theta =[/tex]± [tex]\frac{15}{17}[/tex]
The end answer for David's solution is;
[tex]\rm cos \theta =[/tex]± [tex]\frac{15}{17}[/tex]
Hence both procedures are correct. Because the end answer and the step-by-step explanation are right.
To learn more about the procedure refer to the link;
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Answer:
C: Both procedures are correct
Step-by-step explanation:
on edge :)
What is the most specific name for the figure?
A(-4a, -2a)
B(-9a, -2a)
C(-5a, a)
D(0, a)
A. Trapezoid
B. Rectangle
C. Square
D. Rhombus
Answer: D
Step-by-step explanation:
The quadrilateral will be a rhombus. Then the correct option is D.
What is the quadrilateral?The definition of a quadrilateral is a planar form with four sides, four vertices, and four angles. Concave and convex are the two primary kinds.
Type of quadrilateral are:
Trapezoid.Rectangle.Parallelogram.Rhombus.Square.Kite.The length of the side CD is given as,
CD² = (0 + 5a)² + (a - a)²
CD = 5a units
The length of the side BC is given as,
BC² = (- 5a + 9a)² + (a + 2a)²
BC² = (4a)² + (3a)²
BC² = 25a²
BC = 5a units
The length of the adjacent sides is equal. Then the quadrilateral will be a rhombus.
Thus, the correct option is D.
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2=4+7h what does h equal
Answer:
h= -2/7
Step-by-step explanation:
Simply simplify the equation:
2 = 4 + 7h
first get rid of the 4
2-4 = -2
so -2 = 7h
so h = -2/7
What is the equation of a line that is perpendicular to y = x + 4 and passes through (–2,8)?
Answer:
y= -x+6
Step-by-step explanation:
G1xG2= -1
G2= -1
-1 = (y-8)
-------
(x+2)
-1 (x+2)=y-8
-x-2=y-8
-y=x+2-8
y= -x+6
The nutrition supervisor for a school district is considering adding a baked potato bar to the lunch for all the high school cafeterias. He wants to determine if there is a difference in the proportion of students who would purchase from the potato bar for two high schools, East and West. The cafeteria manager at each high school randomly surveys 90 students. At East High School, 63 of the students said they would purchase the potato bar on that day.
At West High School, 45 students said they would. Based on the 99% confidence interval, (0.02, 0.38), is there convincing evidence of a difference in the proportions of students who would purchase from the potato bar between East and West High Schools?
O There is convincing evidence because the entire interval is above 0.
O There is convincing evidence because the sample proportions are different at each high school.
O There is not convincing evidence because another interval using a lower level of confidence might contain 0.
O There is not convincing evidence because the entire student body should have been asked.
Using the confidence interval, it is found that the correct option is:
There is convincing evidence because the entire interval is above 0.
When does a confidence interval for the difference of proportions gives convincing evidence that there is a difference?It gives convincing evidence when 0 is not part of the confidence interval.
In this problem, the interval is (0.02, 0.38), which does not contain 0, hence the correct option is:
There is convincing evidence because the entire interval is above 0.
More can be learned about confidence intervals at https://brainly.com/question/25890103
Answer:
There is convincing evidence because the entire interval is above 0.
Step-by-step explanation: EDGE 2022
There are 12 tomato plants for which 75 < h < 85
One of the tomato plants is selected at random.
Find an estimate for the probability that this tomato plant has a height greater than
82.5 cm
The histogram is an illustration of a discrete probability, and the probability that this tomato plant has a height greater than 82.5 cm is 0.40
How to estimate the probability?The histogram is given such that the distribution of the plant heights is:
75 < h ≤ 85
To estimate the probability that this tomato plant has a height greater than 82.5 cm, we make use of the following formula
P(h >82.5) = P(85)
From the histogram, we have:
P(85) = 24/60
Evaluate
P(85) = 0.40
Substitute P(85) = 0.4 in P(h >82.5) = P(85)
P(h >82.5) = 0.40
Hence, the estimated probability is 0.40
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How many factors of 1000 can be divided by 20 without a remainder?
Answer: 6
Step-by-step explanation:
Which expression is equivalent to (o)(5)?
Of(5) g(5)
Of(5) + g(5)
O5f(5)
05g(5)
Mrs culpepper’s and and mr Cochran s class recorded the number of books each student read in a week
Which of the following statements is true about the data sets?
The correct statement about the data set is the mean would be the best measure of central tendency for Mr Cochran's class because the data is symetrical.
What is a measure of central tendency?
A measure of central tendency attempts to describe a data set by determining the central value of the data set. Measures of central tendency are mean, median and mode.
Mean is the average of a data set. Median is the number at the center of the data set. Mode is the number that occurs most in the data set. A data set is negatively skewed if the mean is less than the mode. If the mean is equal to the mode, the data is symmetric.
Mean of Mrs culpepper’s class = (1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 + 3 + 3) / 10 = 1.9
Mode of Mrs culpepper’s class = 1
Mean of mr Cochran's class = (1+ 1 + 2 + 3 + 3 + 3 + 3 + 4 + 9 + 9) / 10 = 3.8
Mode of mr Cochran s class = 3
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The probability density function of the time to failure of an electronic component in a copier (in hours) is f(x) e^-x/1074 /1074
The probability density function of the time to failure of an electronic component in a copier (in hours) is [tex]\rm P(a < x < b) =e^\frac{-b}{1074}-e^\frac{-a}{1074}[/tex].
What is the probability density function?Probability Density Function is a function defining the probability of an outcome for a discrete random variable and is mathematically defined as the derivative of the distribution function.
The given function is;
[tex]\rm =\dfrac{ e^\frac{-x}{1074}}{1074}[/tex]
The probability density function of the time to failure of an electronic component in a copier (in hours) is given by;
[tex]\rm P(a < x < b) =\int\limits^a_b {p(x)} \, dx[/tex]
For the electronic component, the probability will be:
[tex]\rm P(a < x < b) =\int\limits^a_b {\rm \dfrac{ e^\frac{-x}{1074}}{1074}} \, dx\\\\ P(a < x < b) =\int\limits^a_b {\rm \dfrac{1074}{1074} e^\frac{-x}{1074}}} \, dx\\\\P(a < x < b) =e^\frac{-b}{1074}-e^\frac{-a}{1074}[/tex]
Hence, the probability density function of the time to failure of an electronic component in a copier (in hours) is [tex]\rm P(a < x < b) =e^\frac{-b}{1074}-e^\frac{-a}{1074}[/tex].
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The perimeter of the original rectangle is 16 feet. A small rectangle has a length of 6. 2 feet and width of 1. 8 feet. A larger rectangle has a length of 12. 4 feet and width of blank. Not drawn to scale What is the perimeter of the enlarged rectangle? Round to the nearest tenth if necessary. 22. 3 feet 31 feet 32 feet 42. 7 feet.
The perimeter of the enlarged rectangle is 32 ft and the width of the larger rectangle is 3.6 ft.
What is perimeter of plane?The measure of the boundary of a plane or shape is called its perimeter. The perimeter of a plane or shape is the sum of all the sides.
A small rectangle has a length of 6.2 feet and width of 1.8 feet. The parameter of this triangle is,
[tex]P_s=6.2+1.8\\P_s=8\rm\; ft[/tex]
The small rectangle has a length of 6.2 and the larger rectangle has a length of 12.4 feet. Thus the scale factor of enlargement is,
[tex]r=\dfrac{12.4}{6.2}\\r=2[/tex]
The perimeter of the original rectangle is 16 feet and scale factor is 2. Thus, the perimeter of the enlarged rectangle is,
[tex]P_l=2\times16\\P_l=32\rm\; ft[/tex]
The small rectangle has width of 1.8 feet and scale factor is 2. Thus, the width of the larger rectangle is,
[tex]w_l=1.8\times2\\w_1=3.6\rm\; ft[/tex]
Hence, the perimeter of the enlarged rectangle is 32 ft and the width of the larger rectangle is 3.6 ft.
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Your class of 96 students is going on a field trip to the aquarium.
You filled one school bus, and the second school bus had 6 seats left
over. Write and solve an equation to determine how many students
s can fit on one school bus.
Answer:
54 in one bus
Step-by-step explanation:
96/2=48
48+6=54
can anyone help on this??
Answer:
For number 7 it was c which is the pink man
Step-by-step explanation:
Answer:
Runner A won the race, Runner C took a break for 4 seconds, it took Bob 10.5 seconds because his green line hits the top at the same line as 10.5 seconds
What is the solution to the system of equations?
y=2/3x+3
y = -2
Answer:
and
Step-by-step explanation:
we have
-----> equation A
------> equation B
we know that
The solution of the system of equations is equal to the intersection point of both graphs
Using a graphing tool
see the attached figure
There are two intersection points
Therefore
The system of equations has two solutions
The solutions of the system of equations are the points and
Find the value of x for which allb
A. 35
B. 145
C. 140
D. 47
Answer:
A. 35
Step-by-step explanation:
a || b .....(given)
line c is their transversal.
-> x° + (3x + 40)° = 180° (Interior angles on the same side of transversal)
-> (3x + 40 + x)° = 180°
-> (4x + 40)° = 180°
-> 4x + 40 = 180
-> 4x = 180 - 40
-> 4x = 140
-> x = 140/4
-> x = 35
i will give brainliest to the first to answer
Answer:
2/6 = 1/3
8/1 = 8
2/4 = 4/8
2/8 = 1/4
4/4 = 1
Step-by-step explanation:
2/2 = 1 and 6/2 = 3 so that would make the equivalent fraction 1/3
for 8/1 it is the same as just 8
2*2 = 4 and 4*2 = 8 so that would make the equivalent fraction 4/8
the same goes for 2/8 which is 1/4
and 4/4 is just 1
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Answer:
2/6=1/3
8/1=8
2/4=4/8
2/8=1/4
4/4=1
When do you struggle finding the min and max in a binary search tree
One can struggle to find the min and max in a binary search tree when the search algorithm is error prone.
What is a binary search?It should be noted that a binary search simply means a searching algorithm for finding the elements position in an array.
In this case, one can struggle to find the min and max in a binary search tree when the search algorithm is error prone as this requires more stack space.
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One can struggle to find the min and max in a binary search tree when the search algorithm is error-prone as this requires more stack space.
What is the binary search tree?A binary Search Tree is a node-based binary tree data structure that has the following properties:
In Binary Search Tree, we can find the maximum by traversing the right pointers until we reach the rightmost node. But in Binary Tree, we must visit every node to figure out the maximum. So the idea is to traverse the given tree and for every node return a maximum of 3 values.
1) Node’s data.
2) Maximum in node’s left subtree.
3) Maximum in node’s right subtree.
Below is the implementation of the above approach.
The left subtree of a node contains only nodes with keys lesser than the node’s key. The right subtree of a node contains only nodes with keys greater than the node’s key. The left and right subtree each must also be a binary search tree.Hence, one can struggle to find the min and max in a binary search tree when the search algorithm is error-prone as this requires more stack space.
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What is the amount paid for an $150 pair of shoes after a discount of 30% is applied?
Answer:
105
Step-by-step explanation:
150-30%= 105
Have a wonderful day!
Answer:
The total is $105
Step-by-step explanation:
To get a percentage of a number first convert the percentage to a regular number with a decimal
30.0% would be 0.3 because you move the decimal two spots to the left
you then multiple your new number 0.3 with the original price to get 45
because it is a discount it means we will reduce the price or subtract from it
150 - 45 = 105
I hope this helps
The area of the triangle below is 4.06 square meters. What is the length of the base?
S=0,5ha
4.06=0,5ha
ha=8.12
a=8.12/h
A triangle has side lengths of 9 cm, 25 cm, and 33 cm. Classify it as acute, obtuse, or right.
Answer:
Obtuse.
Step-by-step explanation:
If sides are a b and c, with c the longest:
c^2 = a^2 + b^2 = Right triangle
c^2 < a^2 + b^2 = Acute ...
c^2 > a^2 + b^2 = Obtuse ...
33^2 = 1089
25^2 = 625
9^2 = 81
625 + 81 = 706
1089 > 706 so the triangle is obtuse.
Answer:
Obtuse scalene triangle
Step-by-step explanation:
Side 1: 9 cm
Side 2: 25 cm
Side 3: 33 cm
1. Find 9 squared, 25 squared, and 33 squared:
9 squared = 81
25 squared = 625
33 squared: 1089
Find sum of the squares of 2 smallest sides:
81 + 625 = 706
Longest Side Squared = 1089
706 < 1089
Hence, since 706 < 1089, aka sum of the squares of the smaller 2 sides < longest side squared - you have a obtuse scalene triangle
I used a triangle calculator, so yeah in advance you should probably just use one of those :)
Which expression is equivalent to 113−−−√5?
Answer:
_
113 -✓5
Step-by-step explanation:
_
113-(-(-✓5))
_
=113-✓5 (decimal:110.763932)