The length of segment BC is approximately 10.92 units.
To find the length of segment BC, we can use the properties of a tangent to a circle.
In a circle, a tangent is perpendicular to the radius drawn to the point of tangency. Therefore, triangle ABC is a right triangle with AB as the hypotenuse.
Given that the radius of the circle is 5 units and the tangent AB has a length of 12 units, we can apply the Pythagorean theorem to find the length of segment BC.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (AB) is equal to the sum of the squares of the lengths of the other two sides (BC and AC).
Applying the theorem to triangle ABC:
AB^2 = BC^2 + AC^2.
Substituting the given values:
12^2 = BC^2 + 5^2.
144 = BC^2 + 25.
Rearranging the equation:
BC^2 = 144 - 25.
BC^2 = 119.
Taking the square root of both sides:
BC = √119.
Therefore, the length of segment BC is approximately equal to √119 units.
Since it's not possible to represent the square root of 119 exactly as a whole number or fraction, we can leave the answer as √119 or approximate it as a decimal. The decimal approximation for √119 is approximately 10.92.
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You are planning a survey of starting salaries for recent computer science majors. In the latest survey by the National Association of Colleges and Employers, the average starting salary was reported to be $60,038. 5 If you assume that the standard deviation is $4300, what sample size do you need to have a margin of error equal to $500 with 95% confidence
Answer:
A sample size of 285 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation is $4300
This means that [tex]\sigma = 4300[/tex]
What sample size do you need to have a margin of error equal to $500 with 95% confidence?
A sample size of n is needed. n is found when M = 500. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]500 = 1.96\frac{4300}{\sqrt{n}}[/tex]
[tex]500\sqrt{n} = 1.96*4300[/tex]
[tex]\sqrt{n} = \frac{1.96*4300}{500}[/tex]
[tex]n = 284.1[/tex]
Rounding up
A sample size of 285 is needed.
1ч (х – 2) =36 times-Ч2
Answer:
x = -7
Step-by-step explanation:
14(x - 2) = 3(-42)
14x - 28 = -126
14x = -126 + 28
14x = -98
x = -7
HELP PLSS I HAVE 10 minutes
Answer:
h≈1.43
Step-by-step explanation:
Simply ,Square the radius, and then divide the radius squared into the tripled volume. For this example, the radius is 2. The square of 2 is 4, and 300 divided by 4 is 75. Divide the amount calculated in Step 2 by pi, which is an unending math constant that begins 3.14, to calculate the cone's height.
Evaluate 4y-4, when y=3
Answer:
8
Step-by-step explanation:
4(3)-4=?
12-4=?
8=?
Answer:
The answer is 8
Step-by-step explanation:
4(3)-4
4 times 3 is 12 subtract by 4 you get 8.
the length of rectangular park is 15 m longer than that of the park is 114m find it's length and breadth
Answer: Length: ≈20.5 Breadth: ≈5.5
Step-by-step explanation: x(x+15)=114, solving for x we get 5.547 and 20.547.
Solve the following percentage problem 85%of 40
Answer:34
85% of 40 = 34
Step-by-step explanation:85 percent of 40? = 34.
Answer:
34
Step-by-step explanation:
please please please help me :(((
Answer:
In the last diagram the object is being acted upon by forces not adding up to zero.
Step-by-step explanation:
(Assuming force 1=force 2 in terms of magnitude)
Let forces acting towards the left = -1
Let forces acting toward the right = +1
In the first diagram, force1 is acting towards the left and force2 is acting towards the right:
Total force = force1+force2=-1+1=0
In the second diagram, force1 is acting towards the left and force2 is acting towards the right:
Total force = force1+force2=-1+1=0
In the third diagram, force1 is acting towards the right and force2 is acting towards the left:
Total force = force1+force2=+1-1=0
In the fourth diagram, force1 is acting towards the left and force2 is acting towards the left:
Total force = force1+force2=-1-1=-2. Here, the forces do not add up to zero.
Find the value of x.
Answer:
116
Step-by-step explanation:
110+79+55=244
360-244=116
Answer:
116
Step-by-step explanation:
What is the domain of the function on the graph?
Answer:
x is greater than or equal to -3
[-3, infinity)
{x| -3 less than or equal to x les than infinity}
convert 32.1% to an equivalent decimal.
Answer:
0.321
Step-by-step explanation:
32.1 / 100 = 0.321 = [tex]\frac{321}{1000}[/tex]
The decimal equivalent of 32.1% is 0.321.
Converting a percentage to a decimal is a breeze.
To convert 32.1% to its decimal equivalent, all you have to do is divide the percentage value by 100.
In this case,
it would be 32.1 ÷ 100 = 0.321.
So, the decimal equivalent of 32.1% is 0.321.
Converting percentages to decimals is a simple concept that allows us to represent numbers in different form.
It's like translating one language into another.
By dividing the percentage by 100, we scale it down to a decimal representation.
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prove that the electric field is negative of the gradient of electric potential
Answer:
Electric field points out the direction in which potential energy function is decreasing so it's the negative gradient vector of the potential energy function.
Step-by-step explanation:
^^
The dimensions of two square pyramids formed of sand are shown. How much more sand is in the pyramid with the greater volume?
I will ONLY give brainliest to whoever answer FIRST AND whoever answers CORRECTLY!
Answer:
There is 32in² more sand in the pyramid with greater volume.
Step-by-step explanation:
Volume of rectangular pyramid = l²*h/3, where l is the base length and h is height.
Volume of left pyramid=l²*h/3=8²*(6/3)=64*(2)=128in³
Volume of right period=l²*h/3=6²*(8/3)=36(8/3)=96in³
128-96=32, there is 32in² more sand in the pyramid with greater volume.
A chemist mixed two samples together: a gray liquid that boils at 103°C and a colorless gas that boils at 19°C. She analyzed the results and found two ending substances. One of the ending substances was a pink liquid. This ending substance is made up of the repeating group of atoms shown above. Which of the diagrams to the left shows the repeating groups of atoms that make up the samples the chemist mixed together?
Answer:
Its C
Step-by-step explanation:
Diagram c to the left shows the repeating groups of atoms that make up the samples the chemist mixed together.
What is atoms?Atoms are the smallest unit of matter that make up all physical objects. Atoms are composed of three main components: protons, neutrons, and electrons. Protons and neutrons are found in the nucleus of the atom and have a positive charge, while electrons orbit the nucleus and have a negative charge.
here, we have,
we know that,
Atoms can join together to form molecules, which are the building blocks of all matter. Atoms of different elements can join together in different ways to form compounds and these compounds are the basis of all substances. Atoms are also the basis of all chemical reactions and can exist in different physical states, such as solid, liquid, or gas. Atoms can also be combined to form isotopes, which are atoms of the same element with different numbers of neutrons.
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complete question:
11. A chemist mixed two samples together: a brown solid that melts at about 1,300°C and a colorless liquid that melts at about 20°C. She analyzed the results and found two ending substances. One of the ending substances melts at about 250°C. This ending substance is made up of the repeating group of atoms shown above. Which of the diagrams to the left shows the repeating groups of atoms that make up the samples the chemist mixed together?
Simplify
(-8.5) (-5) (-2)
Answer: -85
Hope this helps!
HELP ME PLEASE SOME ONE!
Answer:
240 inches cubed
I see you have 4 mins left
This table gives a few (x,y) pairs of a line in the coordinate plane. What is the y intercept of the line?
Answer:
0,34
Step-by-step explanation: when you do x2-x1/y2-y1 with the coordinates you get slope plug that in the the y= mx+b equation with any one of the coordinates and you get the y intercept.
I totally need helppppppppp. Oh no im gonna faillllllll.
10 + 9
PLs send help
(I'll give brainliest if you answer right
Answer:
19 will be the answer.
Step-by-step explanation:
10+9=19
Answer:
19
Step-by-step explanation:
can i get brainiest
Find the slope of 3y = 6x + 4
Does anyone know this, scammers keep answering it
Answer:
Blank 1: 50
Blank 2: 95
Blank 3: is not
Blank 4: is not
Step-by-step explanation:
A right angle is 90 degrees, and a rectangle is a plane figure that has four straight sides and four right angles.
Name the marked angle in 2 different ways.
V
U
S
T
Answer:
VUS, UST
Step-by-step explanation:
tiffany spent 2 1/8 hours studying 1 3/8 hours talking on the phone 100 percent of an hour on chores and 1.75 hours walking which of the following lists her activities in order of greatest to least amount of time F. Chores, phone, walk, study G. Chores, study, walk, phone H. Study, phone, walk, chores J. Study, walk, phone, chores
Answer: J - Study. walk. phone, chores
What is the solution set for 4x+9 <17?
Is B right? Or A?
Answer:
[tex]x<2[/tex]
Step-by-step explanation:
[tex]\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}[/tex]
[tex]4x+9-9<17-9[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4x<8[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]
[tex]=x<2[/tex]
Answer:
4x+9=17
-9 -9 subtract 9 on both sides to cancel 9 on one side of equation and subtracted on the other side
4x=8
divide 4 on both sides to get x by itself
x=8/4
x=2 SOLUTION
Step-by-step explanation:
HELP ASAP!!
The parent function f(x)= square root of x is translated 2 units right, compressed horizontally by a factor of 21 , and reflected across the x-axis.
Answer:
Ok? what's the question
Step-by-step explanation:
Answer:
i did my best to try and find something, do any of these help? lmk
Step-by-step explanation:
Triangle ABC is inscribed in a circle. The measure of arc AB is 126°.
Answer:
B. 54°Step-by-step explanation:
hope it help you
follow me please
Guys please help me with this problem
Make a list of the possible outcomes from the table
Answer:
(d)
Step-by-step explanation:
The answer is d because it's pretty simple , you can have the white shirt with both trousers and the green shirt with both aswell.
Plums and Peaches
The graphs below show the cost y of buying x pounds of fruit. One
graph shows the cost of buying x pounds of peaches, and the other
shows the cost of buying x pounds of plums.
Answer:
a. Peaches cost more by pound because the line it forms is steeper
b. draw a line that is less steep than the plums and under the plums line
What is the domain of the following parabola? (5 points)
u-shaped graph that opens down with a vertex of 1, 2
Group of answer choices
y ≤ 2
x ≥ 1
All real numbers
x ≤ 1
Answer:
the domain for this parabola is all real numbers
Choose the two equal expressions
Please Help me Due in 2 Mins
What is another way to describe an equailteral triangel
A=acute
B=obtuse
C=right
D=scalene
Answer:
c
Step-by-step explanation: