Answer:
m∠A = 42°
Step-by-step explanation:
* Lets revise some facts in the circle
- If the vertex of an angle on the circle and the two sides of the
angle are chords in the circle, then this angle is called
an inscribed angle
- Each inscribed angle subtended by the opposite arc, the arc name
is the starting point and the ending point of the angle
# Ex: ∠CAB is subtended by arc CB
- There is a relation between the inscribed angle and its
subtended arc, the measure of the inscribed angle equals half
the measure of its subtended arc
* Now lets solve the problem
- ∠CAB is an inscribed angle subtended by arc CB
∴ m∠CAB = (1/2) measure of arc CB
∵ The measure of arc CB = 84°
∴ The measure of ∠A = 1/2 × 84° = 42°
* m∠A = 42°
Mairisa gets $8 per week for an allowance. She saves 25% of her allowance each week. How long will it take Mauritania to save $16. Question :#7
8 weeks
First, find how much money Maurisa saves each week. 25% is the same as 1/4, and 1/4 of 8 is 2, so Maurisa saves $2 each week.
Finally, just divide $16 by $2 per week to find that Maurisa will take 8 weeks to save $16.
Attachment Below Thanks Lots Of Points
Answer:
1A: The area of a flat, or plane figure is the number of unit squares that can be contained within it. The unit square is usually some standard unit, like a square meter, a square foot, or a square inch.
1B: A radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length
1C: A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.
2A: A=wl
2B: A=πr to the power of 2
Step-by-step explanation:
1. Area = the measurement of the surface of a 2D shape.
Radius = a straight line from the center of a circle to its circumference.
Diameter = a straight line from one side of a circle to the other side, passing through the center point.
2. The area of a rectangle is found by multiplying the length by the width.
The area of a circle is found by multiplying the radius squared by PI.
3. Find the area of the paper and the area of the game pieces, then divide the area of the paper by the area of the game piece.
How do I simplify this expression?
Answer:
15i√2
Step-by-step explanation:
5√(-18)
= 5√(-2 x 9)
= 5 x 3 x √-2
= 15√-2
= 15i√2
Answer:
15i[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Require to know [tex]\sqrt{-1}[/tex] = i
Given
5[tex]\sqrt{-18}[/tex]
= 5[tex]\sqrt{9(2)(-1)}[/tex]
= 5 × [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] × [tex]\sqrt{-1}[/tex]
= 5 × 3 × [tex]\sqrt{2}[/tex] × i
= 15i[tex]\sqrt{2}[/tex]
What is the probability of rolling a number cube and its landing on an even number?
Answer:
1/2
Step-by-step explanation:
When we roll a die, we can get 1,2,3,4,5,6
There are 6 possible outcomes
The even numbers are 2,4,6
There are 3 ways to get an even number
P(even number) = number of evens/ total outcomes
= 3/6
=1/2
Unit 17- calculations
What exactly is your question?
Answer:
i dont understand
Step-by-step explanation:
plz explain
Write an equation for the graphed function
Answer: g(x) = 1/(x-1) - 3
Step-by-step explanation:
Where would y = 1/x be located?
It would have an asymptote at each of the y and x axes.
This is shifted one to the right, and three down.
To shift one to the right:
y = 1/(x-1)
To shift three down:
y = 1/(x-1) - 3
And we're done!
Use the grouping method to factor the polynormial below completely. 10x^3 - 35x^2 + 6x - 21
The polynomial 10x^3 - 35x^2 + 6x - 21 is factored using the grouping method to obtain (2x - 7)(5x^2 + 3).
To factor the polynomial 10x^3 - 35x^2 + 6x - 21 using the grouping method, we first look for a common factor in each group separately and then factor out the common binomial factor.
Split the polynomial into two groups: (10x^3 - 35x^2) and (6x - 21).
Factor out the greatest common factor from each group: 5x^2(2x - 7) and 3(2x - 7).
Now we have 5x^2(2x - 7) + 3(2x - 7). Since both terms have a common binomial factor of (2x - 7), we can factor this out: (2x - 7)(5x^2 + 3).
So, the factored form of the polynomial 10x^3 - 35x^2 + 6x - 21 using the grouping method is (2x - 7)(5x^2 + 3).
Who can help me out with this
Answer:
x=y+5
Step-by-step explanation:
Step-by-step explanation:
To solve for x in this case, we must first add 5 to both sides, resulting in:
x - 5 + 5 = y + 5
then simplify,
x = y + 5
And boom, you're done!
The receipt shows the quantity and price of some clothing. Which equation can be used to find the price of each pair of jeans?
The answer is A because “x” is the number of jeans purchased so it would be the price per jean times number of jeans being purchased
Answer: Answer is A
Step-by-step explanation:
A washer and a dryer cost $816 combined. The washer costs $66 more than the dryer. What is the cost of the dryer?
Answer:
$342
Step-by-step explanation:
816/2 = 408
408-66=342
Answer: 342
Step-by-step explanation: you take 816 divide it by 2 (408) then u subtract 66 from that and u get 342. The price of the washer would cost 474 if u wanna add them to check my work.
Write the standard equation for the circle center (-6,8) that passes through (0,0)
Answer:
D
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 6, - 8), thus
(x + 6)² + (y + 8)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)
r = [tex]\sqrt{(0+6)^2+(0+8)^2}[/tex] = [tex]\sqrt{36+64}[/tex] = [tex]\sqrt{100}[/tex] = 10
Hence
(x + 6)² + (y + 8)² = 100 → D
Which type of data is best represented by a line graph?
A.each response shown by an X or dot
B.data that are compared using bars
C.change in data over time
D.parts of a total amount
C. change in data over time
Answer:
c. change in data over time
Step-by-step explanation:
What is the closed linear form of the sequence 3, 4, 5, 6, 7, ...?
A) an = 2 + n
B) an = 2 - n
C) an = 3 + n
D) an = 3 - n
Answer:
Step-by-step explanation:
This is an arith. sequence.
The first term is 3 and the common difference is 1
Thus, the general formula for the nth term of this sequence is:
a(n) = 3 + 1(n - 1) This matches Answer A
ANSWER
[tex]a_n=2+ n[/tex]
EXPLANATION
The given sequence has terms:
3, 4, 5, 6, 7, ...
The first term is
[tex]a_1=3[/tex]
The constant difference is
d=4-3=1
The general term is given by:
[tex]a_n=a_1 + d(n - 1)[/tex]
Substitute the first term and the common difference to get,
[tex]a_n=3+ 1(n - 1)[/tex]
Expand:
[tex]a_n=3+ n - 1[/tex]
[tex]a_n=2+ n[/tex]
The first choice is correct.
The dimensions of a box are x, 2x, and 3x. Each dimension is decreased by 2. Calculate the volume of the box.
A) 3x^3-12-8
B)-1x^6
C)6x^3-22^2+24x-8
D)40x^3
Answer:
Correct choice is C) [tex]6x^3-22x^2+24x-8[/tex].
Step-by-step explanation:
Given that the dimensions of a box are x, 2x, and 3x.
Now each dimension is decreased by 2.
Then new dimensions of a box are (x-2), (2x-2), and (3x-2).
Now let's calculate the volume of the box which is given by
Volume = (Length) x (Width) x (Height)
[tex]=(x-2)(2x-2)(3x-2)[/tex]
[tex]=(2x^2-6x+4)(3x-2)[/tex]
[tex]=(2x^2-6x+4)(3x-2)[/tex]
[tex]=6x^3-22x^2+24x-8[/tex]
Hence correct choice is C) [tex]6x^3-22x^2+24x-8[/tex].
a-b+c=3
a+b+c=7
Find a+c using substitution.
a+c=5. Please look at the attached image to see what I did
What is the value of x to the nearest tenth?
A)7.2
B)9.2
C)4.8
D)12.0
Answer:your answer is C
Step-by-step explanation:
Nicole opens a savings account with an initial deposit of $5,000. since then, she has never made any other deposits or withdrawals. her savings account earns 4℅ intrest compounded monthly. which equation gives the approximate amount, A(x), she has in her savings account as a function of x, the number of years since her initial deposit?
1. A(x)= 5,000^(0.96x)
2. A(x)= 5,000(0.959)^x
3. A(x)= 5,000 + 0.04x
4. A(x)= 5,000^(1.04x)
5. A(x)= 5,000(1.041)^x
Answer:
Option 5. [tex]A(x)=\$5,000(1.041)^{x}[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=x\ years\\ P=\$5,000\\ r=0.04\\n=12[/tex]
substitute in the formula above
[tex]A=\$5,000(1+\frac{0.04}{12})^{12x}[/tex]
[tex]A=\$5,000(1.041)^{x}[/tex]
Justine is a wedding coordinator. She is selecting the menu options for the reception
2. In the figure, what is mLC
50° is the answer since the the circumscribed angle is 1/2 of the arc on the opp side
Answer:
50° is the answer since the the circumscribed angle is 1/2 of the arc on the opp side
Step-by-step explanation:
how is the slope of a linear function related to the number of zeros for the function
Answer:
there should only be 1 zero for a linear function
Step-by-step explanation:
Answer:
First of all, when we say linear function that it should be taken note that the maximum number of zeroes should be one. The linear equation will not have a zero only if the line it produces is a vertical line and does not pass the origin
Step-by-step explanation:
i hope this helps you let me know if it does
solve......... 6y + x = 8
Step-by-step explanation:
[tex]6y+x=8\\\\for\ x:\\\\6y+x=8\qquad\text{subtract}\ 6y\ \text{from both sides}\\\\6y-6y+x=8-6y\\\\\boxed{x=8-6y}\\\\for\ y:\\\\6y+x=8\qquad\text{subtract}\ x\ \text{from both sides}\\\\6y=8-x\qquad\text{divide both sides by 6}\\\\\boxed{y=\dfrac{8-x}{6}}[/tex]
pxqxqxqxqxqxqxqxqxq expression equivalent
Answer:
pxq^9
Step-by-step explanation:
-hope this is what you're looking for?
The graph of the function is shown. Which inequality represents the domain of the function?
Answer:
x≥-6
Step-by-step explanation:
The domain is every value of x. Since the function does not include any values of x less than -6, x≥-6 is the domain.
The inequality which represents the domain of the function is y>=6 . Hence, option A is correct.
What is the domain of a function?The domain of a function is the set of all possible input values. In other words , we could say the x - values for which valid y-values are obtained.
From the graph, the line depicts , valid y- values starting from -6 and higher.
Hence, the values include ;
-6, -5, -4, .....Therefore, the correct option is A.
Learn more on domain : https://brainly.com/question/30242164
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find the midpoint of the segment with the following endpoints (2,4) and(8,8)
Answer:
(5,6)
Step-by-step explanation:
just answered a similar question for you a while ago so I have updated by response to match the different values:
the midpoint formula is
(x1 + x2/2) , (y1 + y2/2) <-- both the x1 and y1 coordinates also are divided by 2
so to solve for the midpoint, we take our endpoints and plug it into the formula
we will list the coordinates as the following to plug it into the formula:
x coordinate 1 = 2
x coordinate 2 = 8
y coordinate 1 = 4
y coordinate 2 = 8
substituting these values into the formula we get this:
x =(2 + 8/2) , y = (4 + 8/2)
x = 2 + 8 = 10/2 = 5 which is our x coordinate for the midpoint
y = 4 + 8 = 12/2 = 6 which is our y coordinate for the midpoint
in an ordered pair it would be (5, 6)
Final answer:
The midpoint of the segment with the endpoints (2,4) and (8,8) is (5, 6).
Explanation:
The midpoint of a line segment is the point that is equidistant from both endpoints. To find the midpoint of a segment with endpoints (2,4) and (8,8), we can use the midpoint formula.
The midpoint formula is given by:
M = (x1 + x2)/2, (y1 + y2)/2
Using the given endpoints, we substitute the values into the formula:
M = (2 + 8)/2, (4 + 8)/2 = (10/2, 12/2) = (5, 6)
Therefore, the midpoint of the segment with the given endpoints is (5, 6).
Suppose you can chose from 3 different shirts, 2 pairs of pants, and 5 pairs of shoes. Use the fundamental counting principle to find out how many different outfit combinations you can make.
Answer:
You can make 10 combinations.
Step-by-step explanation:
you can make 10 combinations because all you have to do is just add all the numbers then you get 10
We want to find the total number of combinations of outfits, given that we know the number of each type of clothes that you have.
Using basic counting, we will get that there are 30 different outfit combinations.
Let's see how to get that:
To count the total number of combinations, the first thing we need to find is the selections.
Here we have 3 selections:
Selection of shirtSelection of pantsSelection of shoes.Now we need to find the number of options for each one of these selections:
Selection of shirt (3 options)Selection of pants (2 options)Selection of shoes. (5 options)To get the total number of combinations, we just need to multiply all of these numbers of options, we will get:
3*2*5 = 30
This means that there are 30 different outfit combinations.
If you want to learn more, you can read:
https://brainly.com/question/2688929
Solve system of equation.
2x+y=10
-2x+2y=5
Answer:
(2.5,5)
Step-by-step explanation:
thats the answer
Answer:
The solution point is (2.5, 5)
Step-by-step explanation:
This is one of the very first steps you need to take in order to solve 2 equations with 2 unknowns. This does not require that you make any adjustments.
2x + y = 10
-2x +2y = 5 Just add. The xs cancel.
3y = 15 Divide by 3
3y/3 = 15/3
y = 5
=========
Now use one of the equations (the top one is easier) to solve for x
2x + y = 10 Substitute y = 5
2x + 5 = 10 Subtract 5
2x +5-5 = 10-5
2x = 5 Divide by 2
x = 2.5
The solution point is (2.5 , 5)
Choose the correct simplification of the expression -5x(4x-6x^2-3)
Answer:
30x^3 -20x ²+ 15x
Step-by-step explanation:
-5x(4x-6x^2-3)= -20x²+30x^3+15x
-5x(4x-6x^2-3) = 30x^3 -20x ²+ 15x
30x^3-20x^2+15x
I think its the answer
At lunch, 6 friends share 4 pizzas equally. What fraction of a pizza does each friend get? May 5th, 2019. (8:34pm.)
Answer:
each friend would get about 2/3 of a pizza
Step-by-step explanation:
you would take the total amount of pizza (4) and divide it by the friends (6) which would look like this: 4 / 6 = 0.6666 (repeating) which is equal to 2/3
i hope this helps :)
Lance loaded 89 boxes into his delivery truck in the morning . At 2 o clock that afternoon he had 36 boxes left on the truck . How many boxes had he delivered ?
Answer:
53 boxes
Step-by-step explanation:
Subtract the end amount from the beginning amount to find the number of boxes already delivered.
89-36=53
Find three solutions of the equation. y=2x-6
A) (-2,-10), (1,-4), (2,-1)
B) (-2,-10),(1,-4), (0,-6)
C) (0,-6), (3,-2), (-2,-10)
D) (1,-4),), (0,-6), (-1,-9)
Answer:
B
Step-by-step explanation:
put the values of x and y into the equation respectively.
if LHS =RHS then it is a solution
e.g put (-2,-10) into the equation
-10=2(-2)-6
-10=-10
hence is a solution .
or put x value into the equation such as
(-2,-10)
y=2(-2)-6
the ans should be y=-10.As u can see is equal to the solution given.Hence is a solution.