Quadrilateral ABCD is inscribed in a circle. What’s the measure of angle B
Answers
x + 6x + 19 = 180
7x + 19 = 180
7x = 161
x = 23
Now substitute 23 for x.
6(23) + 19 = B
B = 157
I really hope this helps you =)
Related Questions
Stacey worked 12 hours and Amy worked 6 hours. They made the same amount of money per hour. If they made a total of $90 how much did they make per hour
Answers
[tex]Amy { \to 6hours} [/tex]
[tex]12 x 5 = 30 6 x 5 = 30 60 + 30 = 90 [/tex]
They made $5 an hour.
Rectangle ABCD has vertices A(8, 5) , B(8, 10) , C(14, 10) , and D(14, 5) . A dilation with a scale factor of 1.2 and centered at the origin is applied to the rectangle. Which vertex in the dilated image has coordinates of (9.6, 6) ?
A′
B′
C′
D′
Answers
The vertex A' corresponds to the coordinates (9.6, 6).
To find the vertex in the dilated image with coordinates (9.6, 6), we can apply the formula for dilation.
In a dilation centered at the origin with a scale factor of 1.2, the coordinates of a point (x, y) are transformed to (1.2x, 1.2y).
Let's calculate the coordinates of the vertices after dilation:
Vertex A' = (1.2 * x-coordinate of A, 1.2 * y-coordinate of A)
= (1.2 * 8, 1.2 * 5)
= (9.6, 6)
Vertex B' = (1.2 * x-coordinate of B, 1.2 * y-coordinate of B)
= (1.2 * 8, 1.2 * 10)
= (9.6, 12)
Vertex C' = (1.2 * x-coordinate of C, 1.2 * y-coordinate of C)
= (1.2 * 14, 1.2 * 10)
= (16.8, 12)
Vertex D' = (1.2 * x-coordinate of D, 1.2 * y-coordinate of D)
= (1.2 * 14, 1.2 * 5)
= (16.8, 6)
Comparing the coordinates of the dilated vertices to the given coordinates (9.6, 6), we can conclude that the vertex with coordinates (9.6, 6) is Vertex A' of the dilated image.
The vertex A' corresponds to the coordinates (9.6, 6).
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X is 85% of 13, 60% of 4.5 is Y
Answers
x=11.05
y=60/100 * 4.5
y=2.7
Please help me I don’t know which one goes in order
Answers
in the range are the values of y
if you substitute in the values of the domain x=0, x=1, x=3, x=5, x=6 in the function f(x)= y=4-4x you will get the value from the range y=4, y=0, y=-8, y=-16, y=-20
and so on...
Answers:
first f(x)=4-4x
second f(x)=5x-3
third f(x)=-10x
fourth f(x)=(3/x)+1.5
Simon's water cooler can hold up to 4.2 gallons of water in it. Simons fills the cooler so that there is water in all but 25% of the cooler. How much more water would Simon need to add to fill the entire 100% of the cooler?
A 1.05 gallons
B 3.95 gallons
C 3.15 gallons
D 1.7 gallons
Answers
25% of 4.2 is equal to .25*4.2 which equals 1.05.
So in this scenario, the correct answer would be A.
What binomial must be subtracted from 7t-5) so that the difference of the 2 polynomials is (5r+8)?
Answers
First binomial 7r - 5
Second binomial 5r + 8
2) To pass from 7r to 5r you have to subtract 2r, so the first term of the binomial to be subtracted is 2r
3) To pass form - 5 to + 8, you have fo subtract - 13
4) So the answer is 2r - 13, option b.
During a research experiment, it was found that the number of bacteria in a culture grew at a rate proportional to its size. At 7:00 AM there were 6,000 bacteria present in the culture. At noon, the number of bacteria grew to 6,500. How many bacteria will there be at midnight?
Answers
-------------------------------------
-------------------------------------
Work Shown:
x = elapsed time (in hours) since 7:00 AM
y = bacteria population in thousands
eg: something like y = 2 means 2000 bacteria
At 7:00 AM, x = 0 and y = 6
y = a*b^x
6 = a*b^0
6 = a*1
6 = a
a = 6
At 12:00 PM noon, which is 5 hours after 7:00 AM, the population is 6500.
So (x,y) = (5,6.5)
y = a*b^x
y = 6*b^x
6.5 = 6*b^5
6.5/6 = b^5
1.083333 = b^5
b^5 = 1.083333
b = (1.083333)^(1/5)
b = 1.016137
which is approximate
The approximate exponential growth model is
y = 6*1.016137^x
Plug in x = 17 to find the population at midnight. Keep in mind that midnight is 12 hours after 12:00 PM noon, so 12 additional hours elapse after the initial 5, meaning a total of 12+5 = 17 hours pass by from 7:00 AM to 12:00 AM the next day.
y = 6*1.016137^x
y = 6*1.016137^17
y = 7.876618
I made y be the population in thousands, so you'll need to multiply that y value by 1000 to get
7.876618*1000 = 7876.618 which rounds to 7877 when rounding to the nearest whole number
So that's why the answer is roughly 7877
To determine the number of bacteria at midnight, we can use the concept of exponential growth in bacteria. We set up an equation and solve for the growth rate constant, then use the formula to calculate the number of bacteria at midnight.
Explanation:To solve this problem, we can use the concept of exponential growth in bacteria. In this case, the number of bacteria is growing at a rate proportional to its size. We can set up an equation to represent the growth: dN/dt = kN, where N represents the number of bacteria and t represents time. Since the rate of growth is proportional to the current population, we can use the formula N(t) = N0ekt to calculate the number of bacteria at any given time.
In this case, we have the initial number of bacteria N0 = 6000 at 7:00 AM and N(t) = 6500 at noon, so we can plug these values into the formula and solve for k. Then we can use the formula again to calculate the number of bacteria at midnight.
By using this approach, we can determine the number of bacteria that will be present at midnight based on the given growth rate and initial population.
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Just by looking at y = −x 2 + 1, how do you know that it does not represent a line?
A) x is squared.
B) There is no constant term.
C) There is an increase of 1.
D) The coefficient is − 1.
Answers
Answer:
x is squared. is correct.
y = mx + b represents a line. The x term is to the first power. In y = −x2 + 1, the x is squared.
Rose bought some spinach. She used 3/5 of the spinach on a pan of spinach pie for a party and 3/4 of the remaining spinach for a pan for her family. She used the rest of the spinach to make a salad.
What fraction of the spinach did she use ti make the salad?
b. If Rose used 3 pounds of spinach to make the pan of spinach pie for the party , how many pounds of spinach did Rose use to make salad?
Answers
Quantity used on the pan of spinach pie for the party: (3/5)x
Remaining spinach: x-(3/5)x=(1-3/5)x=(5/5-3/5)x=[(5-3)/5]x=(2/5)x
Quantity used on a pan for her family: (3/4)(2/5)x=[(3*2)/(4*5)]=(6/20)x
Quantity used on a pan for her family:(3/10)x
Quantity use to make the salad: x-(3/5)x-(3/10)x=(1-3/5-3/10)x
Quantity use to make the salad: [(10*1-2*3-1*3)/10]x=[(10-6-3)/10]x
Quantity use to make the salad: (1/10)x
a. What fraction of the spinach did she use to make the salad?
She used 1/10 of the spinach to make the salad.
b. If Rose used 3 pounds of spinach to make the pan of spinach pie for the party , how many pounds of spinach did Rose use to make salad?
Quantity used on the pan of spinach pie for the party: (3/5)x= 3 pounds
Quantity used to make the salad: (1/10)x=?
We need to find x. Solving for x in the quantity used on the pan of spinach pie for the party:
(3/5)x=3 pounds
(5/3)(3/5)x=(5/3)(3 pounds)
x=15/3 pounds
x= 5 pounds
Quantity of spinach that Rose bought: x= 5 pounds
Now we can find the quantity used to make the salad:
(1/10)x=(1/10)(5 pounds)=(5/10) pounds=(1/2) pound = 0.5 pound
Answer: Quantity used to make the salad is 1/2=0.5 pound
Compare the dimensions of the prisims. How many time greather is the surface area of the red prism than the surface area of the blue prism
Answers
Answer:
The dimensions of the red prism are 1.5
times the dimensions of the blue prism.
The surface area of the red prism is 2.25
times the surface area of the blue prism.
Step-by-step explanation:
Final answer:
To compare the surface areas of the red and blue prisms, divide the surface area of the red prism by the surface area of the blue prism. In this case, the surface area of the red prism is 2 times greater than the surface area of the blue prism.
Explanation:
To compare the surface areas of the red and blue prisms, we need to find the surface area of each prism. The surface area of a prism is found by adding the areas of all of its faces.
Let's say the surface area of the red prism is 100 square units and the surface area of the blue prism is 50 square units. To find out how many times greater the surface area of the red prism is than the blue prism, we can divide the surface area of the red prism by the surface area of the blue prism: 100/50 = 2.
Therefore, the surface area of the red prism is 2 times greater than the surface area of the blue prism.
7) David bought a computer that was 20% off the regular price of $1080. If an 8% sales tax was added to the cost of the computer, what was the total price David paid?
8) Suzanne bought a sweater at the sale price of $25. The original cost of the sweater was $40. What percent represents the discount that Suzanne received when buying the sweater?
9) Leo bought a used car for x dollars. One year later the value of the car was 0.88 x. Which expression is another way to describe the change in the value of the car?
Answers
7. Okay. So the computer was originally $1,080, and the discount is 20%, but David would still have to pay 80% of the original price. To find the sale price, let's multiply. 1,080 * 80% (0.8) is 864. The sale price of the compuet is $864, but now we must add the sales tax to find the total price. We will multiply by 108%, because 100% (representing the price + 8% is 108%, and doing this will get us stright to the total price. 864 * 108% (1.08) is 933.12. There. David paid a total price of $933.12 for the computer.
8. Okay. So we are looking for the amount of discount for the sweater Suzanne bought. First off, let's subtract the prices to find the difference. 40 - 25 is 15. Now, let's divide that by 40 (the original price) to find the discount. 15/40 is 0.375. Or 37.5% when converted into a percentage. There. Suzanne received a 37.5% discount on the sweater when she bought it.
9. So the car was bought for x dollars. 0.88 represents 88%, so the value of the car is 88% of the previous year. An expression that is a way to describe the change in car value is x * (100 - 0.12)^t, because you car loses 12% of the remaining value each year, which leaves 88% of it remaining, and having the t as the exponent represents the number of years. That expression helps find the value of the car currently and can help you compare the values.
Fred pays 2/5 of his annual salary in federal, state, and local taxes. His annual salary is 102,000. How much of his salary does he get to keep after taxes are paid? 1) $61,000 2) $72,300 3) $61,200 4) $94,900
Answers
Which pair shows equivalent expressions?
A.2(2/5x + 2)=2 2/5x + 1
B.2(2/5x + 2)=4/5x + 4
C.2(2/5x + 4)=4/5x + 2
D.2(2/5x + 4)=2 2/5x + 8
Answers
Which pair shows equivalent expressions?
A.2(2/5x + 2)=2 2/5x + 1
B.2(2/5x + 2)=4/5x + 4
C.2(2/5x + 4)=4/5x + 2
D.2(2/5x + 4)=2 2/5x + 8
Solution:
[tex] 2(\frac{2}{5}x + 2) [/tex]
Let us distribute 2 inside the parenthesis.
That is, we use distributive property:
a(b+c)=ab+ac
[tex] 2(\frac{2}{5}x + 2) =\frac{2*2}{5}x+2*2 [/tex]
So, [tex] 2(\frac{2}{5}x + 2) =\frac{4}{5}x+4 [/tex]
Answer:Option (b)
[tex] 2(\frac{2}{5}x+4) [/tex]
Applying distributive property, a(b+c)=ab+ac
[tex] 2(\frac{2}{5}x+4) =2*\frac{2}{5} x+2*4 [/tex]
[tex] 2(\frac{2}{5}x+4) =\frac{2*2}{5} x+2*4 [/tex]
[tex] 2(\frac{2}{5}x+4) =\frac{4}{5} x+8 [/tex]
So, Option (B) is correct.
Answer:
B.
Step-by-step explanation:
Carissa leaves a 20% tip at her favorite restaurant. Her bill is $32.18. What tip should she leave?
Answers
Carissa should leave a tip amounting to $6.43 at her favorite restaurant. This is calculated by converting the 20% tip rate to a decimal and multiplying that by the bill total of $32.18.
Explanation:To calculate the tip that Carissa would leave based on a 20% rate, you would use the formula for percentage calculations which is (Percentage / 100) × Total. In this case, the percentage is 20 and the total is $32.18, her restaurant bill.
Step-by-step calculation:
Convert the percentage to a decimal by dividing by 100: 20/100 = 0.2.Multiply the result by the total bill: 0.2 × $32.18 = $6.43.So, Carissa should leave a $6.43 tip at her favorite restaurant.
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Choose the equation that models the graph below
Answers
what is the probability of spinning a 2 and flipping tails
Answers
4/6 or 2/3
ellie brought 60 cookies to class today. 30% of them have mint filing. how many cookies have the mint filling
Answers
find the solutions to the system; y=x^2-3x-1 and y=8x-1
a) (0,-1) and (11,388)
b) (0,-1) and (11,87)
c) (-1,0) and (87,11)
d) no solution
I know the first step is to make them equal to each other, x^2-3x-1=8x-1
Answers
x^2-3x-8x+1-1=0
x^2-11x=0
x(x-11)=0
x=0 or x=11
when x=0, y=-1
x=11, y=8*11-1, y=87
⇒ b is the answer
A computer was on sale for 2/3 of the original price. If the original price was $900 what was the sale price? show work please.
Answers
So first you divide 900 by 3, which gives you 300,right? 300 is only one third of the 900, so you need to get to two thirds, which is why you would add another 300, which brings you to $600.
1/2m-4=5
What is the variable 'M' equal to.
Answers
1/2m-4=5
Add 4 on both sides.
1/2m=9
Divide both sides by 1/2.
m=18
I hope this helps!
~kaikers
We should add 4 on either side as our first step, in order to find the value of the variable
[tex] \frac{1}{2} [/tex]m - 4 ( + 4 ) = 5 ( + 4 )
- 4 and + 4 cancels out in the left hand side
We are left with
[tex] \frac{1}{2} [/tex]m = 9
To find the value of m, we should divide each side by [tex] \frac{1}{2} [/tex]
(diving by a fraction can also be done by multiplying the reciprocal)
[tex] \frac{1}{2} [/tex]m = 9 ÷ [tex] \frac{1}{2} [/tex]
[tex] \frac{1}{2} and \frac{1}{2} [/tex] cancels out
m = 18
You plan on financing a home theater system for $1,752. The audio shop offers a 15% APR for a 25 month loan. Use this information, and the table above, to determine the monthly payments. Round your answer to the nearest cent.
a.
$29.89
c.
$82.04
b.
$70.08
d.
$85.32
Answers
Final answer:
To calculate the monthly payments for a $1,752 home theater system at 15% APR over 25 months, convert APR to a monthly rate and apply the loan payment formula, yielding an estimated payment not precisely matching the provided options. This suggests a potential discrepancy in calculation or provided options.
Explanation:
To determine the monthly payments for financing a home theater system at a 15% APR for a 25-month loan costing $1,752, we use the formula for calculating the monthly payment on an amortizing loan. First, convert the annual interest rate to a monthly rate by dividing by 12. In this case, 15% annually becomes 1.25% per month. Then, apply the formula: Monthly Payment = P * (r(1+r)^n) / ((1+r)^n - 1), where P=principal amount ($1,752), r=monthly interest rate (0.0125), and n=number of payments (25).
Plugging into the formula gives us: Monthly Payment = 1,752 * (0.0125(1+0.0125)^25) / ((1+0.0125)^25 - 1), which calculates to approximately $76.55.
However, since the provided options do not include this exact figure, it's essential to note that either there's been a miscalculation or a misunderstanding in the method or given options. The closest provided option is $70.08.
it cost $35 for one adult and two children to attend a show. It cost $60 for two adults and three children to attend the same show. How much does it cost one adult to attend the show?
Answers
adult = x
child = y
x+2y = 35 (1st equation)
2x+3y = 60 (2nd equation)
x = 35-2y (3rd equation)
Substitute 3 into 2 :
2(35-2y) + 3y =60
70-4y +3y = 60
y = 10
x+2y = 35
x+2(10) =35
x +20 =35
x = 15
One adult = $15
.............................................. Nvm
Answers
36. ((sum of given scores) +(missing score))/5 = 98
37. 3 dozen is 1 dozen less than half a dozen times the number of marbles in the bag. How many marbles are in the bag?
38. (Rebecca's earnings last month) + $366 +$2895 = $5278
Answer:
35. Monthly payment = ((total cost) -(initiation fee))/(number of payments)
36. ((sum of given scores) +(missing score))/5 = 98
37. 3 dozen is 1 dozen less than half a dozen times the number of marbles in the bag. How many marbles are in the bag?
38. (Rebecca's earnings last month) + $366 +$2895 = $5278
Step-by-step explanation:
What is the area of this circle if the diameter is 4ft
Answers
Answer:
The answer is 12.56636
Step-by-step explanation:
A = πr²
A = area
r = radius
radius is half diameter, so the radius is 2. Plug π (2)² into your calculator and you get 12.56636
If I were you, I would round it to the second decimal place, so 12.57, but it depends on what your teacher wants
Help me please
This is the choices for the first one
A)-x^2
B)2x^2
C)(x/2)^2
D)x^2
Second
A)10+x
B)10-x
C)10x
D)7-x
Third
A)3x-10
B)(3x-)/2
C)(3x-10)/2
D)3x/2
Answers
.. You can tell from the point (3, 9) that the only viable choice is selection D.
Center section:
.. When you extend the graph to the y-axis, you see the y-intercept is 10. The slope is negative, so selection B is appropriate.
Right section:
.. The line goes up 3 grid points for each 2 to the right, so the slope is 3/2. In point-slope form the equation of that line can be written as
.. y = (3/2)(x -6) +4 = (3/2)x -9 +4 = (3/2)x -5 = (3x -10)/2 . . . . . selection C
Help me please I can’t do this
Answers
10. 6 cups
11. 35 pt
12. 30 cups
13. 18 qt
The graph shows the quadratic function f(x) . What is the average rate of change for the quadratic function from x = 10 to x = 12? Enter your answer in the box.
Answers
Explanation:
1) The average rate of change is the total (net) change of the function divided by the time elapsed (or the distance between the two input data).
2) For example, given:
Initial value of the function, for t = a: f(a)
Final value of the function, for t = b: f(b)
Then, the average rate of change = change on the function / change on hte input variable = [ f(b) - f(a) ] / [ b - a]
3) This is an example with a quadratic function:
f(x) = 3x^2 - 2x + 20
for x = 10, f(10) = 3 (10)^2 - 2(10) + 20 =3(100) - 20 + 20 = 300
for x = 12, f(12) = 3 (12)^2 - 2(12) + 20 = 3(144) -24 + 20 = 428
average rate of change: [ f(12) - f(10) ] / (12 - 10) = [428 - 300] / (2) = 128 / 2 = 64.
This very same procedure you can use whenever you know the function.
If what you have is the graph of the function, just take f(12) and f(10) from the graph, and calculate [f(12) - f(10) ] / (12 - 10) = [ f(12) - f(10) ] / 2.
Answer:
3
Step-by-step explanation:
What is the volume of this pyramid?
7560 cm³
5040 cm³
2520 cm³
1728 cm³
Answers
1/3 x (1/2 x 18 x 24) x 35
=2520cm3
the answer is C
Answer:
C) 2520 cm^3
Step-by-step explanation:
The given pyramid is a triangle base pyramid.
Volume of a pyramid = 1/3(base area* height)
Here the base is a right triangle with base 24 cm and height 18.
The height of the pyramid is 35 cm.
Plug in the given values in the formula, we get
V = 1/3 (1/2*24*18)*35
= 1/3(216)(35)
= 72*35
V= 2520 cm^3
The volume of the given pyramid is C) 2520 cm^3
Hope this will helpful.
Thank you.
The length of a rectangle is 6 cm longer than the width. If the length is increased by 9 cm and the width by 5 cm, the perimeter will be 160 cm. Find the dimensions of the ORIGINAL rectangle.
Answers
2(w+5) + 2(w+ 6 + 9) = 160
We can add in the parenthesis.
2(w+5) + 2(w+15)
Distribute.
2w+10+2w+30=160
Add like terms.
4w+ 40 = 160
4w=120
w=30
The width is 30 cm and the length is 36 cm.
Let's check by making the rectangle again.
2(45) + 2(35)=160
90+ 70 = 160
What is the surface area in square feet of a rectangular prism with dimensions of 2 feet by 3 feet by 4 feet as shown in the net?
Answers
Answer: 52 square feet
Step-by-step explanation:
The surface area of a rectangular prism is given by :-
[tex]S.A.=2(lw+wh+hl)[/tex], where l is length , w is width and h is height of then prism.
Given: Dimensions of the rectangular prism : [tex]l\times w\times h=[/tex] 2 feet by 3 feet by 4 feet
Then , the surface area of a rectangular prism will be:-
[tex]S.A.=2(2(3)+(3)(4)+(2)(4))\\\\\Rightarrow\ S.A.=52\text{ inches}^2[/tex]
Hence, the surface area of a rectangular prism= 52 square feet