a) Work out the size of AOD.
b) Work out the size of angle ABC and give a reason for your answer.
Thanks in advance :)
Answers
Answer:
ABC = 31
Step-by-step explanation:
Angle AOC and ABC have the angle theorem: the angle subtended at the centre of the circle is double the angle at the circumference. Its quite hard to realise the layout, because angle AOC isn't between points A and C. If angle AOC moved to the right side of line AB, it would be easier to see. Of course we cannot do this, otherwise angle AOC wouldn't be the middle anymore. Hope this helped
(a). The angle AOD is 62 degrees.
(b). The angle ABC is 31 degrees.
(a). From given diagram, It is observed that triangle AOD is a right angle triangle.
The sum of all three angles in triangle is equal to 180 degrees.
[tex]\angle A +\angle O + \angle D = 180\\\\90 +\angle AOD +28=180\\\\\angle AOD=180-90-28=62[/tex]
(b). The central angle theorem states that the angle subtended by an arc at the center of the circle is double the angle subtended at any point on the circumference of the circle.
[tex]\angle ABC = \frac{1}{2} \angle AOD\\ \\\angle ABC=\frac{1}{2}*62=31[/tex]
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square root of 12 • by the square root of -1
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Answer:
2i-/3
Step-by-step explanation:
This question involves imaginary numbers and simplifying radicals.
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Step-by-step explanation:
x=30
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A certain class has 11 students, 6 boys, and 5 girls, and they have no matched birthdays. What is the probability that 3 eldest students are all boys?
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Nashua RSM?
Step-by-step explanation:
On average it takes Erika about minutes per mile less than Rita
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Answer:
On average, Erika is much slower than Rita by 1 minute.
Step-by-step explanation:
There are two sets of data: Erika's and Rita's. Now, we have to find the average values for each of both and compare them. I would assume that the order of the presentation of data points is alternating, first for Erika followed by Rita. To illustrate what I mean, let's say in Day 1, Erika's time is 20 and Rita's time is 21.25. In Day 2, Erika's time is 21.5 and Rita's is 24.75. And so on and so forth. The complete tabulation is shown in the picture.
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Tell whether the angles are adjacent or vertical. Then find the value of x.
Answers
the answe
Step-by-step explanation:
the answer is 20
The angles are supplementary angles. Then the value of the variable 'x' will be 20.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Angle 7x and angle (x + 20) is the supplementary angles. Then the equation is given as,
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Simplify the equation, then we have
7x + x + 20 = 180
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x = 20
The angles are supplementary angles. Then the value of the variable 'x' will be 20.
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A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. A
marble is chosen at random from the jar and replaced. Then a second marble is chosen
at random. Find the probability of the first marble being green and the second marble
being yellow.
Answers
Answer:
We start with 11 marbles. The first marble selected is green, so P(green) = 2/11. Since this marble is replaced, we still have the same 11 marbles. The second marble selected is yellow, so P(yellow) = 3/11. It follows that P(green, then yellow) = (2/11)(3/11) = 6/121.
NEED HELP!!!!! What is 0.50000 times 0.10
Answers
Answer:
0.50000 * 0.10 = 0.05
Step-by-step explanation:
multiply without the decimal points, then put the decimal point in the answer. so 5*1 nd that is 5, 0.5 has one decimal point and so does 0.1 so there is two decimal points : )
Answer:
0.05
Step-by-step explanation:
0.5*0.1=0.05
i used a calculator
Find the surface area of the right rectangular prism shown below
Answers
Answer:
you need to provide the figure
50 POINTS! What is the value of x?
4
4√3
8
8√3
The figure contains a right triangle. The side opposite the right angle is 8. The side opposite the 60 degree angle is x.
Answers
Answer:
[tex]4\sqrt{3}[/tex]
Step-by-step explanation:
Since the triangle is a right triangle with a 60 degree angle, the triangle is what can be referred to as a 30-60-90 triangle. In this type of triangle, the larger leg (the one opposite the 60 degree angle) is [tex]\sqrt{3}[/tex] times larger than the smaller leg (the one opposite the 30 degree angle). Also, the hypotenuse (the side opposite the right angle) is twice larger than the smaller leg. Since the smaller leg is 8/2=4 units long, x is [tex]\sqrt{3}[/tex] larger than that or just [tex]4\sqrt{3}[/tex]. Hope this helps!
Answer:
4√3
Step-by-step explanation:
We can use trig functions since this is a right triangle
The side opposite the right angle is 8, that is the hypotenuse
We know the opposite side is x
sin theta = opp/ hyp
sin 60 = x/8
Multiply each side by 8
8 sin 60 =x
sin 60 = sqrt(3)/2
8 (sqrt(3)/2 =x
4 sqrt(3) =x
convert 3.5 gallons to litres
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Answer: 13.2489 Liters
Step-by-step explanation:
Answer:
[tex]13.2489l[/tex]
Which statement about the intersecting line and segment is false?
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B. DB is a bisector of AC.
AE = EC
D. CEEA
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Answer:
B. DB is a bisector of AC.
Which of these values represents the largest distance?
A. 450 feet
B. 4,500 inches
C. 45 yards
D. 0.45 miles
Answers
Answer:
D. 0.45 miles
Step-by-step explanation:
Change all so they have a common measurement. Convert:
0.45 miles = 2376 feet.
450 feet = 450 feet.
45 yards = 135 feet
4500 inches = 375 feet.
0.45 miles is the largest distance.
~
Answer:
0.45 miles would be your answer.
Explanation:
I converted all of these into feet to see which one had a longer distance.
4500 inches = 375 feet
450 feet = 450 feet
45 yards = 135 feet
0.45 miles = 2376 feet
PLEASE HELP 20 POINTS AND BRAINLIEST IM TAKING AN INTEREM
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Answer:
maybe the second one
Step-by-step explanation:
PLZ MARK BRAINLIEST DESPARATE FOR POINTS
Answer:
It's probably the fourth one
Which relation is a function?
Of
Mark this and return
Save and Exit
Next
Submit
Answers
In mathematics, a relation is a function if each input has a unique output. This one-to-one correspondence distinguishes functions, vital for modeling relationships and solving mathematical problems.
In mathematics, a relation is considered a function if each input (or element from the domain) corresponds to exactly one output (or element in the range).
Every element in the domain is associated with a unique element in the range.
A function is a specific type of relation between two sets, usually called the domain and the range.
In a function, each element in the domain is paired with exactly one element in the range.
Function Notation:
If f is a function, we often use the notation f(x) to represent the output (or value in the range) corresponding to the input x in the domain.
Key Criteria for a Relation to be a Function:
Domain-Range Pairs: Each element in the domain must be paired with an element in the range.
Uniqueness: Each element in the domain must have a unique partner in the range. No two different elements in the domain can have the same output.
Testing for a Function:
Vertical Line Test: If any vertical line intersects the graph of the relation at more than one point, the relation is not a function.
Mapping Diagram: A mapping diagram can visually represent the pairing of elements from the domain to the range.
Example:
Consider the relation where each person is paired with their date of birth. This is a function because each person has a unique date of birth.
Notation for Functions:
A function f is often denoted as f:A→B, where A is the domain and B is the codomain.
Therefore, a relation is a function if each input value maps to only one output value.
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The above question is incomplete, the complete question is:
Explain which relations are known as function ?
Which detail explains why police
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Answer:
C. The alarm and security cameras were off when the theft took place
Step-by-step explanation:
Answer:
C is the correct answer
Step-by-step explanation:
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Answer:
Solution is...
A) X < 6
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2x^2 - x - 10 = 0
Answers
Answer:
-2, 5/2
Step-by-step explanation:
2x^2 - x - 10 = 0
Factor
(2x-5)( x+2) = 0
Using the zero product property
2x-5 =0 x+2 =0
2x=5 x = -2
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Answer:
x= 5 /2 or x=−2Step-by-step explanation:
Step 1: Factor left side of equation.
(2x−5)(x+2)=0
Step 2: Set factors equal to 0.
2x−5=0 or x+2=0
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
By Geometric mean property:
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What happens when you multiply or divide by a negative number in a inequality
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Answer:
Flip the inequality sign!
Step-by-step explanation:
There is one very important exception to the rule that multiplying or dividing an inequality is the same as multiplying or dividing an equation. Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign.
q(x)=1/x^2+25
Find the domain of the rational function
Answers
Answer:
All real numbers
Step-by-step explanation:
The domain is the set of all real numbers, since q(x) is always defined.
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Answers
Answer:
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Step-by-step explanation:
These three places form a right angle triangle
10² = 8² + x²
100 = 64 + x²
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When solving an inequality, you must ____________ the variable.
A. isolate
B. eliminate
explain your answer.
Answers
Answer:
isolate
Step-by-step explanation:
Hope's this helps
aH the second question
Answers
Answer:
ii. 55 degrees.
Step-by-step explanation:
(ii)
Consider the quadrilateral ABCD.
Angle n = 180 - 96 = 84 degrees ( opposite angles of a cyclic quadrilateral are supplementary).
Consider triangle ABC: the 3 angles are supplementary, so
m < j = 180 - 84 - 41
= 55 degrees.
A math class is having a discussion on how to determine if the expressions 4 x minus x + 5 and 8 minus 3 x minus 3 are equivalent using substitution. The class has suggested four different methods.
Which describes the correct method?
Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the two expressions must be equivalent.
Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.
Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent.
Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.
Answers
Answer: Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.
Step-by-step explanation:
4x - x + 5 = 8 - 3x - 3
Combine like terms
4x - x + 5 = 5 - 3x
Subtract x from 4x
3x + 5 = 5 - 3x
Add -3x to both sides
6x + 5 = 5
Subtract 5 from each side
6x = 0
Divide by 6
x = 0
Put 0 into the equation
4(0) - 0 + 5 = 8 - 3(0) - 3
Multiply
0 - 0 + 5 = 8 - 0 - 3
Subtract
5 = 5
Answer:
B
Step-by-step explanation:
Math- Please answer a few ASAP! Thank you
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Answer:
I also found all of the answers for that package
Step-by-step explanation:
Which steps would you take to solve this equation? Check all that apply.
4p = 12
Divide by 4 on both sides of the equation.
Divide by 12 on both sides of the equation.
StartFraction 4 Over 4 EndFraction = 1 and StartFraction 12 Over 4 EndFraction = 3, so p = 3.
Substitute 12 for p and multiply to check the solution.
Substitute 3 for p and multiply to check the solution.
Answers
The correct steps are:
- Divide by 4 on both sides of the equation.
- Substitute 3 for p and multiply to check the solution.
To solve the equation 4p = 12, the following steps would be taken:
1. Divide by 4 on both sides of the equation. This step would simplify the equation to p = 12/4.
2. Substitute 12 for p and multiply to check the solution. This step would involve substituting 3 for p and multiplying, not substituting 12.
3. Substitute 3 for p and multiply to check the solution. This step is the correct approach to verify if the value of p obtained is a solution to the original equation.
So, the correct steps are:
- Divide by 4 on both sides of the equation.
- Substitute 3 for p and multiply to check the solution.
Answer:
it's A,C,E
Step-by-step explanation:
here is proof
Enter the location of the point as an ordered pair.
Answers
Four units to the right, one unit up
Helpppl!!! In 2011,Miami-Dade County had a population of about 2.55 million people and covered an area of about 5000 square kilometers. What was the approximate population density of Miami-Dade County in 2011? A) 5100 people per square kilometer. B)1960 people per square kilometer. C) 510 people per square kilometer. D) 196 people per square kilometer
Answers
Answer:
C) 510 people per square kilometer
Step-by-step explanation:
Population Density = Population/Area
= 2,550,000/5000
= 2,550/5
= 510 people per square kilometer
The approximate population density of Miami-Dade County in 2011 was 510 people per square kilometer.
What is population density?Population density is a measurement of population per unit of land area.
Given that, in 2011,Miami-Dade County had a population of about 2.55 million people and covered an area of about 5000 square kilometers.
We need to find the population density of Miami-Dade County in 2011
So,
To calculate the population density, you will divide the population by the size of the area.
Thus, Population Density = Number of People/Land Area.
The unit of land area should be square miles or square kilometers.
Therefore,
= 2,550,000/5000
= 2,550/5
= 510 people per square kilometer
Hence, the approximate population density of Miami-Dade County in 2011 was 510 people per square kilometer.
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PLZ HELP WILL MARK AS BRAINLIEST
Answers
Answer:
C, due to 7 greater than 1