Answers
Answer:
x = 67
Step-by-step explanation:
If the measure of the entire chord is 166°, then if you add the two angles that form it together, it will equal 166.
So,
x + 15 + x + 17 = 166
Simplify.
2x + 32 = 166
Subtract 32 from both sides.
2x = 134
Divide both sides by 2.
x = 67
I hope this helps! Feel free to ask any questions!
Related Questions
CALC
PLEASE HELP!!
A chemical substance has a decay rate of 8.8% per day. The rate of change of an
dN
amount N of the chemical after t days is given by = -0.088N
dt
(i) Let No represent the amount of the substance present at to. Find the exponential function
that models the decay.
(ii) Suppose that 400g of the substance is present at to. How much will remain after 3 days?
(iii) What is the rate of change of the amount of the substance after 3 days?
(iv) After how many days will half of the original 400 g of the substance remain?
Answers
A function is a relationship between a few different inputs and an output, where each input can only lead to one possible outcome.
What is the chemical substance has a decay rate?(i) The exponential function that models the decay of the substance is given by:
\(N(t) = Noe^(-0.088t)\)
(ii) If \(400g\) of the substance is present at to, then \(No = 400g\) . Therefore, the amount of the substance remaining after 3 days is:
\(N(3) = 400e^(-0.0883) = 309.21g\) (rounded to two decimal places)
(iii) The rate of change of the amount of the substance after 3 days is given by:
\(dN/dt = -0.088N(3) = -0.088309.21 = -27.21 g/day\) (rounded to two decimal places)
(iv) To find the number of days it takes for half of the original \(400g\) of the substance to remain, we need to solve the equation:
\(N(t) = 0.5No\)
\(0.5No = Noe^(-0.088t)\)
\(0.5 = e^(-0.088t)\)
\(ln(0.5) = -0.088t\)
\(t = ln(0.5)/(-0.088) = 7.89 days\) (rounded to two decimal places)
Therefore, after \(7.89\) days, half of the original \(400g\) of the substance will remain.
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Given the function
f(x)=8x2−7x+1
. Calculate the following values:
Answers
Answer:354
Step-by-step explanation:
35335345
You are choosing between two different cell phone plans. The first plan charges a rate of 23 cents per minute. The second plan charges a monthly fee of $49.95 plus 9 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?
Answers
Answer:
357 minutes
Step-by-step explanation:
I subtracted 9 cents/minute from the 23 cents/minute to get 14 cents to get the difference between the two per minute charges. I then divided the monthly cost of $49.95 by .14 to get 356.79... So if you used 357 minutes in a month, the second plan would be 3 cents cheaper at $82.08 (.09 x 357= 32.13 + 49.95), vs. the first plan costing $82.11 (.23 x 357). At 356 minutes the first plan would still be cheaper.
Suppose you invest $9270 at an annual interest rate of 5.3% compounded continuously.
How much will you have in the account after 34 years?
Answers
Answer:
$54659.21
Step-by-step explanation:
By using the formula of 9270 * (1.053)^34 I can find the annual compound interest.. I reccomend using a calculator.
Find ordered pairs y=-7x+8
Answers
The ordered pairs for the equation y = -7x + 8 are (0, 8), (1, 1), and (-1, 15).
What are the ordered pairs for the equation y?To find ordered pairs for the equation y = -7x + 8, we can substitute different values of x and solve for y.
Let's choose three values of x:
When x = 0, y = -7(0) + 8 = 8. So one ordered pair is (0, 8).
When x = 1, y = -7(1) + 8 = 1. So another ordered pair is (1, 1).
When x = -1, y = -7(-1) + 8 = 15. So another ordered pair is (-1, 15).
Therefore, the ordered pairs are (0, 8), (1, 1), and (-1, 15).
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Prove that the figure is a parallelogram. If so, classify the parallelogram. Be specific and justify your answer.
What is the perimeter and area?
Answers
Answer:
Step-by-step explanation:
If it is a parallelogram the opposite sides will a have the same slope.
Using the diagram we see from the coordinates of A and B:
Slope of AB = (5 - -1)/(-1 - -5)
= 6/4
= 3/2.
In the same way
slope of CD = (2 - -4) / (1 - -3)
= 3/2.
So AB and CD can be shown to be parallel.
Similarly the lines BC and AD are parallel.
So the figure is a parallelogram
Finding the perimeter (counting the units between the points):
Perimeter = 2AB + 2BC
By Pythagoras:
AB = sqrt (6^2 + 4^2) = sqrt 52
BC = sqrt (3^2 + 2^2) = sqrt 13
So Perimeter = 2sqrt52 + 2sqrt13
= 4sqrt13 + 2 sqrt13
= 6sqrt13
or 21.63 unit^2 to 2 decimal places.
Area = sqrt52 * perpendicular distance between the lines AB and CD.
Consider the inequality 2.5 – 5k ≤ A – Bk.
1.Find one pair of values, A and B, so that no value of k is a solution.
2.Find one pair of values, A and B, so that all values of k are solutions.
Answers
Answer:
i think its c
Step-by-step explanation:
not sure
Find an ordered pair(y,x) that is a solution to the equation.
-x+6y=6
Answers
The ordered pair(y,x) that is a solution to the equation is (1, 0)
How to determine the ordered pair?The equation of the function is given as
-x + 6y = 6
The ordered pair is given as
(y, x)
This means that x is a function of y
So, we make x the subject in -x + 6y = 6
This gives
x = 6y - 6
Next, we assume a value for y and solve for x
Assume y= 1
so, we have
x = 6(1) - 6
Evaluate
x = 0
So, we have
(y, x) = (1, 0)
Hence, the ordered pair is (1, 0)
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Each side length of a triangle is 4 cm. What type of triangle is it?
☐ right
□acute
Equilateral
Isosceles
Answers
Answer: Equilateral
Step-by-step explanation:
It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.
Hope you understood.
Consider the intersecting lines shown. Which of the following statements could you prove based on this?
A. ∠w ≅ ∠z
B. m∠x + m∠z = 180°
C. ∠x ≅ ∠z
D. m∠w + m∠y = 90°
Answers
Answer:
c
Step-by-step explanation:
trust
Reason Abstractly Ify varies directly with x, write an equation for the direct variation. Then find each value. 10. Find y when x = 15 if y = 6 when x = 30. 9. Hy= 14 when x = 8. find y when x= 12. 12. Find x when y = 14, ify = 7 when x= 8. 11. If y = 6 when x= 24, what is the value of x when y=7?
Answers
I amAnswer:
9. y = 21
10. x = 28
11. y = 3
12. x = 16
Step-by-step explanation:
If they vary directly, they can be solved using a rule of three.
9. If y = 14 when x = 8, find y when x = 12.
14 - 8
y - 12
8y = 14*12
8y = 168
y = 168/8
y = 21
10. If y = 6 when x = 24. What is the value of x when y = 7?
6 - 24
7 - x
6x = 24*7
Simplifying by 6
x = 4*7
x = 28
11. Find y when x = 15, if y = 6 when x = 30
y - 15
6 - 30
30y = 15*6
30y = 90
y = 90/30
y = 3
12. Find x when y = 14, if y = 7 when x = 8.
7 - 8
14 - x
7x = 14*8
Simplifying by 7
x = 2*8
x = 16
Overweight participants who lose money when they don’t meet a specific exercise goal meet the goal more often, on average, than those who win money when they meet the goal, even if the final result is the same financially. In particular, participants who lost money met the goal for an average of 45.0 days (out of 100) while those winning money or receiving other incentives met the goal for an average of 33.7 days. The incentive does make a difference. In this exercise, we ask how big the effect is between the two types of incentives. Find a 90% confidence interval for the difference in mean number of days meeting the goal, between people who lose money when they don't meet the goal and those who win money or receive other similar incentives when they do meet the goal. The standard error for the difference in means from a bootstrap distribution is 4.14.
Answers
Answer:
The 90% confidence interval for the difference in mean number of days meeting the goal is (4.49, 18.11).
Step-by-step explanation:
The (1 - α)% confidence interval for the difference between two means is:
\(CI=\bar x_{1}-\bar x_{2}\pm z_{\alpha/2}\times SE_{\text{diff}}\)
It is provided that:
\(\bar x_{1}=45\\\bar x_{2}=33.7\\SE_{\text{diff}} =4.14\\\text{Confidence Level}=90\%\)
The critical value of z for 90% confidence level is,
z = 1.645
*Use a z-table.
Compute the 90% confidence interval for the difference in mean number of days meeting the goal as follows:
\(CI=\bar x_{1}-\bar x_{2}\pm z_{\alpha/2}\times SE_{\text{diff}}\)
\(=45-33.7\pm 1.645\times 4.14\\\\=11.3\pm 6.8103\\\\=(4.4897, 18.1103)\\\\\approx (4.49, 18.11)\)
Thus, the 90% confidence interval for the difference in mean number of days meeting the goal is (4.49, 18.11).
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Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to answer a list of questions. Part A: For what one value of are the perimeters of the quadrilaterals the same? (Hint: The perimeter of a quadrilateral is the sum of its sides.) Part B: For what one value of are the areas of the quadrilaterals the same? (Hint: The area of a quadrilateral is the product of its base and height.) Please help me outtt!
Answers
HELLO
I NEEDED HELP WITH THE SAME QUESTION SO I PUT IT UP WITH A PIC SO U CAN ALSO GET AN ANSWER FROM THERE
HERE YA GO <3
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Answer:
heyy i did this problem a while ago and got kinda stuck on it
AB and AD are tangent to circle C. Find the length of AB, if AB = 8x and AD = x + 9. Round your answer to 2 decimal places.
Answers
When a line is tangent to a circle, it forms a right angle with the radius drawn to the point of tangency. This means that triangle ABD is a right triangle with AB as the hypotenuse.
We can use the Pythagorean theorem to find the length of AB:
AB^2 = AD^2 + BD^2
Since AD = x + 9 and BD = 8x - (x + 9) = 8x - x - 9 = 7x - 9, we can substitute these values into the equation:
(8x)^2 = (x + 9)^2 + (7x - 9)^2
64x^2 = x^2 + 18x + 81 + 49x^2 - 126x + 81
64x^2 = 50x^2 - 108x + 162
14x^2 + 108x - 162 = 0
Dividing the equation by 2, we get:
7x^2 + 54x - 81 = 0
Using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
a = 7, b = 54, c = -81
x = (-54 ± √(54^2 - 4 * 7 * -81)) / (2 * 7)
x = (-54 ± √(2916 + 2268)) / 14
x = (-54 ± √5184) / 14
x = (-54 ± 72) / 14
Now we solve for x:
Case 1: x = (-54 + 72) / 14 = 18 / 14 = 9 / 7
Case 2: x = (-54 - 72) / 14 = -126 / 14 = -9
Since the length of a segment cannot be negative, we discard the second case and focus on the positive solution.
Therefore, x = 9/7.
Substituting this value back into AB = 8x:
AB = 8 * (9/7) = 72/7 ≈ 10.29
Rounding to 2 decimal places, the length of AB is approximately 10.29 units.
Answer:
To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:
8x = x + 9
Solving for x, we get:
x = 1.5
Therefore, AB = 8x = 8(1.5) = 12.
To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:
AB^2 + BD^2 = AD^2
Substituting the values, we get:
12^2 + BD^2 = (1.5 + 9)^2
Simplifying, we get:
BD^2 = 56.25
Taking the square root of both sides, we get:
BD = 7.5
Hence, the length of AB is 12 and the length of BD is 7.5.
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a number d minus 2 is less than -1 as an inequality
Answers
Answer:
(d-2) <-1
Step-by-step explanation:
The number be d. d minus 2 means (d-2).
(d-2) is less than -1.
It means,
(d-2) <-1
It is the required inequality.
So,
Adding 1 both sides.
d-2+1 <-1+1
d-1<0
or
d<1
Hence, this is the required solution.
translate the sentence into a eqution
Twice the difference of a number and 6 is 5 .
Use the variable w for the unknown number.
Answers
Answer:
2(w - 6) = 5
Step-by-step explanation:
2(w - 6) = 5 from "Twice the difference of a number and 6 is 5."
2(w - 6) = 5 from "Twice the difference of a number and 6 is 5."
2(w - 6) = 5 from "Twice the difference of a number and 6 is 5."
Answer:
Step-by-step explanation:
2(w - 6) = 5
2w - 12 = 5
2w = 17
w = 8.5
.0045 written in scientific notation
Answers
Write the following phrase as an algebraic expression. Use x for the unknown number.
The sum of -8 and five times a number.
Answers
that is the solution and just writing so you can have the answer
Item 4 Find the perimeter of the window. Round your answer to the nearest tenth. 90 cm
Answers
Answer:
Step-by-step explanation:
item 4 Find the perimeter of the window. Round your answer to the nearest tenth. 90 cm
You did not state the diameter or radius of the window
so, i will use 90cm as the diameter of the window
First, I'd calculate the half circumference of the window.
The formula for circumference is \(c = 2\pi r\),
Half of it would just be \(c/2 = r\pi\)
Since our diameter is 90 cm, our radius is 45 cm.
Circumference =
\(=45\pi \\= 141.37 cm\)
circumference is also the same with perimeter
so, the answer is 141.37cmto nearest tenth = 141.4cmAnswer:
141.4cm
Step-by-step explanation:
=>
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15) Cost of a computer game: $4.99
Markup: 40%
Discount: 55%%
Tax: 1%
Answers
Answer:
$3.18
Step-by-step explanation:
(4.99×0.4)+4.99=6.986
6.986-(6.986×0.55)=3.1437
(3.147×0.01)+3.147=3.175137
Choose the inequality that represents the following graph.
Answers
Hope this helps!
Answer:
0>0
Step-by-step explanation:
Which expression is equivalent to (6x + 12)?
Answers
Answer:
2(3x + 6)
Step-by-step explanation:
The volume of a tree stump can be modeled by considering it as a right cylinder. Lauren measures it’s height as 0.7ft and it’s radius as 20in find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary
Answers
The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.
To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:
Volume = π * r^2 * h
Given:
Radius (r) = 20 inches
Height (h) = 0.7 feet
First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:
Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches
Now, we can substitute the values into the volume formula:
Volume = π * (20 inches)^2 * 8.4 inches
Calculating the volume:
Volume = 3.14159 * (20 inches)^2 * 8.4 inches
≈ 3.14159 * 400 inches^2 * 8.4 inches
≈ 1005.3096 cubic inches
Rounding the volume to the nearest tenth:
Volume ≈ 1005.3 cubic inches
Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.
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what is 1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1
Answers
Answer: -x^2
Step-by-step explanation:
Answer:
1
Step-by-step explanation: because a number multiplied buy it self stays the same.
hope this helps <3
The triangle formed by a 4-foot-tall mail box and its 6-foot shadow is similar to the triangle formed by a utility pole and its 15-foot shadow at the same time of day. What scale factor is used to transform the image of the utility pole triangle from the preimage of the mailbox triangle? Use this scale factor to determine the height of the utility pole.
Answers
Answer:
The transformations used were rotations, reflections, and R(–3, –3). After a dilation, the image of P is. P'(4, 12). What is the scale factor of the dilation? 5.The triangle formed by a 4-foot-tall mail box and its 6-foot shadow is similar to the triangle formed by a utility pole and its 15-foot shadow at the same time of day.
Step-by-step explanation:
What are your opinions on this pandemic
Answers
How do you do this question?
Answers
Step-by-step explanation:
arctan(x) is less than π/2 for x > 0. Therefore, if we say g(x) = 13 (π/2) / eˣ, then f(x) < g(x) for all values of x > 0.
g(x) = 13 (π/2) / eˣ
g(x) = 13π/2 · (1/e)ˣ
So g(x) is a geometric series where r = 1/e. Since |r| < 1, the series converges.
Since g(x) converges, the smaller f(x) also converges.
The price of an item has risen to $282 today. Yesterday it was $120. Find the percentage increase.
Answers
Answer:
57.45% increase
Step-by-step explanation:
The formula for percent change is (new - old)/new x 100.
The new value is $282 and the old value is $120.
Plug that into the formula:
(282 - 120)/282 x 100
= 57.45%
I hope this helped!
Mr bailey plans to plant soybeans in 4 of every 9 acres This year he plans to farm 2,100 acres what is a reasonable estimate of the numbers of acres on which he will plant soybeans
A.60 B. 230 C.520 D.930
Answers
Option D, which is the closest choice to 933.33, is 930. As a result, 930 fraction acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans
what is fraction?A fraction is a number that represents a portion of a whole or a ratio between two quantities in mathematics. It is represented as a top number (numerator) over a bottom number (denominator) divided by a horizontal line, also known as a vinculum. The fraction 3/4, for example, represents three-quarters of a whole that has been divided into four equal parts. Proper fractions, improper fractions, and mixed numbers are all ways to express a fraction. A suitable fraction is one in which the numerator is less than the denominator, for example, 2/5.
Mr. Bailey intends to plant soybeans on 4 of every 9 acres, which equates to (4/9) of the total acres he farms.
If he intends to cultivate 2,100 acres, the number of acres planted with soybeans is:
(4/9) x 2,100 = 933.33
We must round this amount to the next whole number because he cannot plant soybeans on a fraction of an acre.
Option D, which is the closest choice to 933.33, is 930. As a result, 930 acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans.
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Is each statement true for parallelogram DEFG? Drag each statement into the correct box.
DF=EG
EF=DG
∠DEG ≅ ∠FGE
Answers
The statements DF=EG, EF=DG and ∠DEG ≅ ∠FGE are true for parallelogram DEFG.
What is Quadrilateral?a quadrilateral is a four-sided polygon, having four edges and four corners.
DEFG is a parallelogram.
A parallelogram is a simple quadrilateral with two pairs of parallel sides.
The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
DF=FG is a true statement.
The diagonal passing through a parallelogram are equal in length.
EF=DG is a true statement
The opposite sides of a parallelogram are equal.
∠DEG ≅ ∠FGE are congruent angles.
Because the opposite angles of a triangle are equal in meausure.
Hence, the statements DF=EG, EF=DG and ∠DEG ≅ ∠FGE are true for parallelogram DEFG.
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