Answers
Answer:
The measure of the given arcs are;
[tex]undefined[/tex]Given the figure in the attached image.
we want to find the measure of the given arcs.
For arc ED.
The measure of arc ED is equal to the measure of arc AB;
[tex]\begin{gathered} ED=AB=\measuredangle AOB=50^{\circ} \\ ED=50^{\circ} \end{gathered}[/tex]To get the measure of BC, we can see that AB, BC, and CD will sum up to 180 degrees.
[tex]\begin{gathered} AB+BC+CD=180^{\circ} \\ 50^{\circ}+BC+40^{\circ}=180^{\circ} \\ BC=180^0-(50^{\circ}+40^{\circ}) \\ BC=90^{\circ} \end{gathered}[/tex]To get arc BED;
[tex]\begin{gathered} \text{BED}=BE+ED \\ \text{BED}=180+50 \\ \text{BED}=230^{\circ} \end{gathered}[/tex]Related Questions
price of gas at store was 4.29 per gallon the next week it went up .55 and down .25 and back up 8.30 and finally it went down$.15 what is the price per gallon now
Answers
The final price of gas per gallon after number of reduction and increment is $12.74.
Given,
The price of gas at store = 4.29 per gallon
The increased amount of gas = 0.55
The new price of gas = 4.29 + 0.55 = 4.84 per gallon
Then decreased 0.25. So, the price of gas = 4.84 - 0.25 = 4.59 per gallon
Again the price increases 8.30 and the new price become, 4.59 + 8.30 = 12.89 per gallon
Then, the price of gas finally went down to .15.
Therefore, the price of gas now is:
12.89 - 0.15 = 12.74
That is, the final price of gas per gallon after number of reduction and increment is $12.74.
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A cell phone regularly sells for $210 is on sale for 30% off. With this discount, find the sale price. Round to the nearest cent if necessary
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To know the price to
The domain of a function is all whole numbers between 2.5 and 7.5. Can you represent the domain using set-builder notation in more that one way? Explain
Answers
The set builder notation of "The domain of a function is all whole numbers between 2.5 and 7.5" is Domain = {x: x∈W , 2.5<x<7.5 }.
In the Set Builder form , a statement or expression is used to represent all the elements of the set .
In the question ;
it is given that
the domain of the function is all whole numbers between 2.5 and 7.5 .
the set of whole numbers is represented by W.
Since the numbers between 2.5 and 7.5 are included , so "<" will be used .
The Set Builder notation is Domain = {x: x∈W , 2.5<x<7.5 } .
Therefore , the set builder notation of "The domain of a function is all whole numbers between 2.5 and 7.5" is Domain = {x: x∈W , 2.5<x<7.5 }.
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At a local market, 3 apples and 2 pears cost $2.70. Three apples cost the same as 4 pears. Type a system of equations to find the cost for one apple and the cost for one pear.
Answers
Data:
Apple: A
Pears: P
3A+2P=$2.70
3A=4P
to find the cost for one apple:
< BackSee SolutionShow ExampleRecord: 1/3 Score: 1 Penalty: 1 offComplete: 11% Grade: 0%Brianna AllenFinding the Slope from PointsJon 03, 7:15:08 PMWhat is the slope of the line that passes through the points (4, -9) and (8, -3)?Write your answer in simplest form.
Answers
To obtain the slope of the line that passes through the two given points, the following steps are recommended:
Step 1: Recall the formula for the slope of a line that passes through any two points (x1, y1) and (x2, y2), as follows:
[tex]\text{slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]Step 2: Apply the formula to find the slope of the line that passes through the points (4, -9) and (8, -3), as follows:
[tex]\begin{gathered} \text{Given that:} \\ (x_1,y_1_{})=(4,-9) \\ (x_2,y_2)=(8,-3) \\ \text{Thus:} \\ \text{slope}=\frac{y_2-y_1}{x_2-x_1} \\ \Rightarrow\text{slope}=\frac{-3_{}-(-9)_{}}{8_{}-4_{}}=\frac{-3+9}{4}=\frac{6}{4}=\frac{3}{2} \\ \Rightarrow\text{slope}=\frac{3}{2} \end{gathered}[/tex]Therefore, the slope of the line that passes through the points (4, -9) and (8, -3) is 3/2
Can you guys help me simplify this?
-2x^5y^3/6x^7y^2
Answers
Answer is in photo
A union voted on whether to go on strike 120 people vote the ratio of yes and no votes is 2:3 how many people vote no
Answers
Answer:
80
Step-by-step explanation:
This is a ratio and we can set it up as follows and solve for x:
[tex]\frac{2}{3} = \frac{x}{120}[/tex]
Multiply both sides by 120
80 = x
Divide 120 / 5 = 24
Then multiply the individual digits of ratio (2:3) by 24
2 x 24 = 48
3 x 24 = 72
Put these numbers together in a ratio, 48:72
Therefore 72 people voted no.
Hope this helps
Can someone help me with this please? If the painting is 18 inches high, how wide would it be?
Answers
The ratio of width to height is :
[tex]\frac{w}{h}=\frac{1+\sqrt[]{5}}{2}[/tex]If h = 18 inches, the value of w will be :
[tex]\begin{gathered} \frac{w}{18}=\frac{1+\sqrt[]{5}}{2} \\ \text{Cross multiply :} \\ 2w=18(1+\sqrt[]{5}) \\ w=\frac{18(1+\sqrt[]{5})}{2} \\ w=9(1+\sqrt[]{5}) \\ w=9+9\sqrt[]{5}\quad or\quad 29.12 \end{gathered}[/tex]The answer is w = 29.12 inches
If m ll n, which statement is true? 3 1 5 2. 4 6 O A.
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∠1 and ∠2 have equal measures because they are corresponding angles
You have $73.50. You earn additional money by mowing lawns. Then you purchase a new pair of shoes for $99.99 and have $23.51 leftmuch money do you earn mowing lawns?
Answers
The question provides the following information;
Money at hand = 73.50
Money earned = x
Purchases made = 99.99
Money left over = 23.51
These sets of numbers can be put into an equation as shown below;
(73.5 + x) - 99.99 = 23.51
This equation means what you had at the beginning plus what earned from mowing lawns is a total of 73.5 + x. Subtract the cost of shoes purchased from this total and you'll now have a balance of 23.51
We can now solve for the money earned from mowing lawns as follows;
(73.5 + x) - 99.99 = 23.51
Add 99.99 to both sides of the equation (in order to isolate the 73.5 + x on the left side of the equation). You now have;
73.5 + x = 123.5
Next you subtract 73.5 from both sides of the equation (in order to isolate the x on the left hand side)
x = 50
This means the money earned from mowing lawns is $50
Tell whether the sequence is arithmetic. If it is what is the common difference? Explain.
{1, 5, 9, 13, …}
Answers
The sequence is arithmetic because the common difference is 4.
Answer:
the sequence is arithmetic. the cd is 4
Step-by-step explanation:
1 + 4 = 5
5 + 4 = 9
9 + 4 = 13
Probability knowledge check (this is math not chemistry I am looking at the tab correctly)
Answers
Given: The odds in favor of receiving a gift are 4/19.
Required: To determine the probability of receiving a gift.
Explanation: The probability of an event A that has an odd of happening as A/B can be calculated as
[tex]P(A)=\frac{A}{A+B}[/tex]Here A=4 and B=19. Putting the values, we get,
[tex]\begin{gathered} P(A)=\frac{4}{4+19} \\ =\frac{4}{23} \\ \end{gathered}[/tex]Final Answer: The probability of Brian receiving a gift is 4/23.
Suppose that at age 25, you decide to save for retirement by depositing $95 at the end of every month in an IRA that pays 6.25% compounded monthly. How much will you have from the IRA when you retire at age 65? Find the interest.
Answers
1. At age 65 when you retire, you have (future value) $202,531.69 from the IRA.
2. The total interest earned on the monthly investment of $95 at 6.25% for 40 years is $156,931.69.
How is the future value determined?The future value, which represents the compounded value of the monthly investments, can be computed using the FV formula or an online finance calculator as follows:
Number of years = 40 (65 - 25)
N (# of periods) = 480 months (40 x 12)
I/Y (Interest per year) = 6.25%
PV (Present Value) = $0
PMT (Periodic Payment) = $95
Results:
Future Value (FV) = $202,531.69
Sum of all periodic payments = $45,600 ($95 x 480 months)
Total Interest = $156,931.69
Thus, the future value of the monthly investment is $202,531.69 with an interest of $156,931.69.
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9 + 4 + (-1) +(-1) +...+ (-546) = 0X X80Σ (-3 + 10) = 0E=1
Answers
Answer
The sum of the sequence = -30072
Explanation
We are given a sequence of numbers and asked to find the sum of the terms up until the last term given. The sequence given is
9, 4, -1,.............., -546
On careful observation of this sequence, we can see that it is an arithmetic progression with a common difference of -5 between consecutive terms.
Common difference = (n + 1)th term - nth term
= 4 - 9 Or -1 - 4
= -5
For an arithmetic progression, the formula for the last term is given as
Last term = a + (n - 1)d
where
L = last term = -546
a = first term = 9
n = number of terms in the sequence = ?
d = common difference = -5
So, we can solve for the number of terms
-546 = 9 + (n - 1)(-5)
-546 = 9 - 5n + 5
-546 = 14 - 5n
14 - 5n = -546
-5n = -546 - 14
-5n = -560
Divide both sides by -5
(-5n/-5) = (-560/-5)
n = 112
We can now use the formula for the sum of an arithmetic progression to find the sum of this sequence.
[tex]\text{Sum of an A.P. = }\frac{n}{2}\lbrack2a+(n-1)d\rbrack[/tex]We know all of these parameters now
Sum of this AP = (112/2) [(2 × 9) + (112 - 1)(-5)]
= 56 [18 + (111 × -5)]
= 56 [18 - 555]
= 56 [ -537]
= -30072
Hope this Helps!!!
Which set of equations can be solved using the matrix equation:this is an online homework assignment I need help on for pre calculus
Answers
The given matrix equation is:
[tex]\begin{pmatrix}4 & -1 \\ -2 & -1\end{pmatrix}\begin{pmatrix}x \\ y\end{pmatrix}=\begin{pmatrix}-5 \\ -3\end{pmatrix}[/tex]To get the required equations, we will have to carry out the matrix multiplication, thus we have:
[tex]\begin{gathered} (4\times x)+(-1\times y)=-5 \\ (-2\times x)+(-1\times y)=-3 \end{gathered}[/tex][tex]\begin{gathered} 4x-y=-5 \\ -2x-y=-3 \end{gathered}[/tex]Hence, the correct option is option D
I have answer for the question it in the image but I don't know if it right and I don't know any other formulas to find the area of a triangle
Answers
Hello there. To solve this question, we'll have to remember which other formulas for area of triangles can be used.
Most specifically, it asks for a formula that works on an obtuse triangle, that is, a triangle that haves an angle that measures more than 90º.
Besides the formula BH/2, that refers to half of the product between the measurements of the base and the height of the triangle, of course, this height must be a projection perpendicular to the base, as in the following drawing:
Another formula that can be used is Heron's formula;
Knowing the measures of all the sides of the triangle (no matter if it is an obtuse, acute or right triangle), say a, b and c, Heron's formula states that the area S of the triangle is given by:
[tex]S=\sqrt{\rho\cdot(\rho-a)\cdot(\rho-b)\cdot(\rho-c)}[/tex]Where
[tex]\rho=\dfrac{a+b+c}{2}[/tex]is the semiperimeter of the triangle.
This is the answer we've been looking for.
Find the area of each figure. Round to the nearest 10th if necessary.
Answers
1.
First, divide the figure into 3 different figures.
Find the area of each figure, and then add them:
A1 is a rectangle:
Area of a rectangle: Lenght x width
A1 = 8 x 5.3 = 42.4 in2
A2 is also a rectangle:
Lenght = 4
width = 8 - 5.3 = 2.7
A2 = 4 x 2.7 = 10.8 in2
A3 is a triangle:
Area of a triangle = (base x height) / 2
base = 2.7
Height = 8-4 = 4
A3= ( 2.7 x 4 ) / 2 = 5.4 in2
Total area = A1 + A2 + A3 = 42.4 + 10.8 + 5.4 = 58.6 in2
Answer = 58.6 in2
Log^5(1/25)=-2 in exponential form
Answers
We'll use the follwowing property, which comes from the definition of a logarithm:
[tex]\log _ab=c\Leftrightarrow a^c=b[/tex]i.e, The logarithm with base a of b is c if, and only if a to the c power equals b.
Using this to translate
[tex]\log _5(\frac{1}{25})=-2[/tex]Into exponential form, will yield:
[tex]5^{-2}[/tex]Because:
[tex]5^{-2}=\frac{1}{25}[/tex]ANSWER:
[tex]5^{-2}[/tex]Answer each part. If necessary, round your answers to the nearest hundredth.х5?(a) At Hoffman's Bike Rentals, it costs $31 to rent a bike for 7 hours.How many dollars does it cost per hour of bike use?Il dollars per hour(b) A color printer prints 10 pages in 3 minutes.How many minutes does it take per page?minutes per pageCheck0 2021 McGraw Hill Education All Rights.
Answers
EXPLANATION
If it cost $31/7 hours, we can apply the unitary method to get the unit cost:
[tex]\text{unit price=}\frac{31\text{ dollars}}{7\text{ hours}}=4.42\text{ dollars/hours}[/tex]It will cost 4.42 dollars/hours
We can apply the same reasoning to the printer.
JACKSON WORKS AS A DISHWASHERAT A RESTAURANT DOWNTOWN. HEEARNS $8.56 PER HOUR. IF HEWORKED 25.5 HOURS LAST WEEK,HOW MUCH DID HE EARN?
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Gathering the data
$8.56 h
25.5 per hour
2) Assuming Jackson does not get any tips or extra money for his job.
Let's calculate it.
M=8.56 (25.5)
M=218.28
So Jackson earned $218.28 last week for his 25.5 working hours, at the restaurant.
Set up the equation for the following word problem and solve the equation. Let y be the unknown number.18 times a number minus 97 is equal to 9 less than the number.Step 1 of 2: Write out the equation.
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Hello there. To solve this question, we'll have to remember some properties about set up an equation and solving them.
"Let y be an unknown number. 18 times a number minus 97 is equal to 9 less than the number."
We need to find this number.
Starting with the equation:
[tex]18y-97=y-9[/tex]On the left hand side, we have 18y as 18 times the number, then subtracted 97 for the minus 97 part. On the right hand side, 9 less than the number is represented as the number minus 9.
So, subtract y - 97 on both sides of the equation
[tex]\begin{gathered} 18y-97-(y-97)=y-9-(y-97) \\ 18y-97-y+97=y-9-y+97 \\ 17y=88 \end{gathered}[/tex]Divide both sides of the equation by a factor of 17
[tex]\begin{gathered} \frac{17y}{17}=\frac{88}{17} \\ \\ y=\frac{88}{17} \end{gathered}[/tex]This is the number we've been looking for.
3 hours 6 minutes 45 seconds Plus 8 hours 55 minutes 20 seconds
Answers
12h 2 minutes and 5 seconds
1) Adding 3 hours 6 minutes and 45 seconds to 8 hours 55 minutes and 20 seconds we can write like this:
2) Every time we hit 60'' (seconds) we add to its neighbor then we can find the following sum.
1h ----60'
1 minute ----60''
3) Then the sum of those is equal to 12h 2 minutes and 5 seconds
A store manager or tshirts so that 15 out of every 35 are a medium. How many medium Tshirts would you expect to find when there are 126 T-shirt's on a rack?
Answers
Given:
Out of every 30 t-shirts, 15 are medium.
Let's find the number of medium t-shirts you expect to find when there are 126 t-shirts on a rack.
We have:
35 t-shirts = 15 medium
126 t-shirts = x medium
Now, let's solve for x.
Apply the proportioanlity equation:
[tex]\frac{35}{15}=\frac{126}{x}[/tex]Cross multiply:
[tex]\begin{gathered} 35x=126\times15 \\ \\ 35x=1890 \end{gathered}[/tex]DIvide both sides by 35:
[tex]\begin{gathered} \frac{35c}{35}=\frac{1890}{35} \\ \\ x=54 \end{gathered}[/tex]Therefore, there will be 54 medium t-shirts when there are 126 t-shirts.
ANSWER:
54
Need help asap thank you!
Answers
All potential solutions are covered by theoretical domains and ranges. The solution sets are constrained by actual domains and ranges to fit inside predetermined constraints. Make a function equation out of a word problem that specifies the domain and range of application. All potential solutions are covered by theoretical domains and ranges.
Domain and range: what are they?C = 9 + 7.34
One room costs = $7.34.
Charges of n room = Charges of one room × Number of Rooms
Charges of n room = 7.34 n
Reservation Room = $ 9
Total Cost (c) = Reservation Room + Charges of n room
C = 9 + 7.34
They only clean a maximum of 15 rooms.
Domain = { 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
When n = 1 , C = 9 + 7.34 ×1 = 16.34
When n = 2 , C = 9 + 7.34 ×2 =23.68
When n = 3 , C = 9 + 7.34 ×3 =31.02
When n = 4, C = 9 + 7.34 ×4 =38.36
When n = 5 , C = 9 + 7.34 ×5 = 45.7
When n = 6, C = 9 + 7.34 × 6 = 53.04
When n = 7 , C = 9 + 7.34 ×7 = 60.38
When n = 8 , C = 9 + 7.34 ×8 =67.72
When n = 9 , C = 9 + 7.34 × 9 =75.06
When n = 10, C = 9 + 7.34 ×10 = 82.4
When n = 1 1, C = 9 + 7.34 ×1 1 = 89.74
When n = 12 , C = 9 + 7.34 ×1 2 = 97.08
When n = 13 , C = 9 + 7.34 ×1 3 = 104.42
When n = 1 4, C = 9 + 7.34 ×14 = 111.76
When n = 1 5, C = 9 + 7.34 ×15 = 119.1
C = 9 + 7.34
Domain = { 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
Range = { 16.34,23.68,31.02,38.36,45.7, 53.04,60.38,67.72,75.06,82.4,89.74,97.08,104.42,111.76,119.1}
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The measures of the angles of a triangle are shown in the figure below. Solve for x.
(x+9)°
42°
104°
Answers
Answer:
Step-by-step explanation:
first do 104 + 42 it should be 146
second since it is x+9 do 146 - 189, it should be 43.
third check your work by doing 43 + 146
if it equals 189 then do 43 - 9, you should get 34
so x = 34
If the rectangle below were to be enlarged by a scale factor of 5, what would the new size be? 2 10 x 15 10 X 6 8 X 15 Od 2 X 3
Answers
To dilate a shape by a determined scale factor, you have to multiply each side of the said shape by the scale factor.
The figure is a rectangle with length l=3 and width w=2, to enlarge it using factor 5, you have to multiply both lengths by 5:
[tex]\begin{gathered} l=3\cdot5 \\ l=15 \end{gathered}[/tex][tex]\begin{gathered} w=2\cdot5 \\ w=10 \end{gathered}[/tex]After dilating the rectangle by scale factor 5, the new size will be 10 x 15
if a triangle has side lengths of 4x + 6, 6, and 5x; what is the perimeter
Answers
Between what two consecutive integers must solution 2^x=7 lie?
Answers
Answer:
2 and 3
Explanation:
Given the equation:
[tex]2^x=7[/tex]Now, observe the following:
[tex]\begin{gathered} 2^2=4 \\ 2^3=8 \\ 4<7<8 \\ \implies2^2<2^x<2^3 \end{gathered}[/tex]Taking the indices:
[tex]2Therefore, the solution of 2^x=7 lies between the consecutive integers 2 and 3.Which function has an inverse that is also a function?{(-1 -2). (0, 4). (1 3). (5, 14). (7, 4)}{(-1. 2), (0.4), (1.5). (5. 4). (7.2)} {(-1.3), (0.4). (1. 14), (5. 6). (7. 2)} {-1 4), (04). (1.2). (5.3). (7.1)
Answers
Remember that a function is a relation between two sets of numbers where the first set is called domain, and the second set is called range.
The main characteristic that defines a function is that a domain element can be associated with only one element of the range set. In other words, one input value cannot have two different output values.
Therefore, the right answer is the third choice
[tex]\left\lbrace (-1,3\right)(0,4)(1,14)(5,6)(7,2)\}[/tex]Because this represents a function and its inverse also represents a function, that is, it's inverse have the characteristic of a function. The following set represents the inverse
[tex]\left\lbrace (3,-1\right)(4,0)(14,1)(6,5)(2,7)\}[/tex]As you can observe, this inverse set also follows the function definition, because every single input is associated with only one output.
? Question
Refer to section 1.3.2, Credit scores, beginning on page 22 of the report.
Arrange the five tiers of credit scores in order, starting with the lowest tier of credit scores.
Answers
The five credit score tiers are listed in ascending order, starting with the lowest tier:
Deep Subprime < Subprime < near prime < prime < superprime
The ability of a consumer to get credit may be significantly influenced by their credit score. These interactive graphs demonstrate how lending behavior has changed for different credit score profiles of borrowers.
We concentrate on the following five commercially available credit score levels:
Subprime's credit scores is between 580 to 619.
Prime's credit score level is between 660 to 719.
The credit score level of deep subprime is below 580.
The credit score level of near prime is 620 - 659.
The credit score level of superprime is 720 or above.
Therefore, the five tires of credit scores from lowest to highest are:
Deep Subprime < Subprime < near prime < prime < superprime
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