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Angle XYZ is marked in blue
It turns out that angle XYZ is exactly half the measure of arc XZ. This is due to the inscribed angle theorem. Angle XYZ is an inscribed angle that cuts off, or subtends, arc XZ.
measure of arc XZ = 28 degrees
measure of angle XYZ = (1/2)*(measure of arc XZ)
measure of angle XYZ = (1/2)*(28 degrees)
measure of angle XYZ = 14 degrees
Answer: D) 14 degrees
Related Questions
The length of a rectangle is five times its width. If the area of the rectangle is 125 m2 , find its perimeter.
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W = width
L = 5W ---- Length is 5 times the width
A = LW= 125
first lets find L and W
A = LW = 125-----LW is the formula for area of a rectangle
we know L = 5W
we'll plug in 5W for L
A = (5W)W = 125
A = 5W^2 = 125
W^2 = 125/5
W^2 = 25
Take the squareroot
W = 5
L = 5W
L = 5 * 5
L = 25
P = Perimeter = 2(L + w) ----- formula for perimeter of a rectangle
P = 2(25 + 5)
P = 60
if you had a fraction strip folded into twelfths what fractional lengths could you measure with the strip
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Please help me solve 9x+16=4x-19
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evaluate the function
can someone please explain how I would solve this please?
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y = 4 x 1/2^6
y = 4 x 1/64
y = 1/16
Before we even get there, though, consider how we define multiplication as repeated addition. When you see an expression like 3 x 5, what that essentially translates to is "add 3 to itself 5 times," so we could also write 3 x 5 as 3 + 3 + 3 + 3 + 3. Having established that, around middle school, you'll typically get your first exposure to positive exponents, which are defined at first as repeated multiplication. When you see something like [tex]3^5[/tex], we could also read that as "multiply 3 by itself 5 times," or [tex]3\times3\times3\times3\times3[/tex].
With that definition for positive exponents defined, it makes sense that we would define negative exponents in terms of the inverse of repeated multiplication: repeated division. Each time we step the exponent back by 1, we divide by the base again. For example, let's take these decreasing powers of 3 and notice what happens:
[tex]3^3 = 27\\3^2=27/3=9\\3^1=9/3=3\\3^0=3/3=1[/tex]
If we start stepping back further, we start getting to values below 1:
[tex]3^{-1}=1/3\\3^{-2}=(1/3)/3=1/3^2=1/9\\ 3^{-3}=(1/9)/3=1/3^3=1/27[/tex]
And this pattern continues, with the essential takeaway being that [tex]3^{-x}=1/3^x[/tex]
Try applying that pattern to the equation you've been given, [tex]y=4\cdot2^{-6}[/tex], and see what you get!
Write 12.5% as a fraction or mixed number in simplest form
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1/8 = 0.125
Your answer = 1/8
Answer: 1/8
Step-by-step explanation: A percent is a ratio that compares a number to 100. So we can write 12.5% as 12.5/100.
Next, we need to get rid of the decimal. We can multiply the numerator and denominator of a fraction by the same number without changing the value of the fraction.
So to get rid of the decimal, we can multiply the numerator and the denominator of 12.5/100 by 10 and we have 125/1000.
Now, notice that 125/1000 is not in lowest terms because we can divide the numerator and the denominator by 125 to get 1/8.
So 12.5% can be written as the fraction 1/8.
How to find the least common denominator of 10x/x-3 and 4x/x-2
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The function y_p(t) = \ln(1 + 2 t), \ t > -\frac{1}{2}, is a particular solution to the differential equation y^{\,\prime\prime} + 3 y = g(t). find g(t)
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[tex]y_{p}(t) = ln(1 + 2t) - \frac{1}{2} [/tex]
The ODE is
y'' + 3y = g(t)
Obtain the derivatives of the particular solution.
[tex]y_{p}^{'} = \frac{2}{1+2t} \\\\ y_{p}^{''} = \frac{-4}{(1+2t)^{2}} [/tex]
Because the particular solution should satisfy the ODE, therefore
[tex]g(t)=- \frac{4}{(1+2t)^{2}} +3 \, ln(1+2t)- \frac{3}{2} [/tex]
Answer: [tex]g(t) = - \frac{4}{(1+2t)^{2}} + 3 \, ln(1+2t) - \frac{3}{2} [/tex]
Then
[tex][\ln{(1+2t)}]^{\prime\prime}+3[\ln{(1+2t)}]=g(t) \\ \\ \Rightarrow\bold{g(t)= \frac{2(1+6t)}{(1+2t)^2}+3\ln{(1+2t)}}[/tex]
bird leaves its nest and travels 18 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 5 miles left after x hours. What is the distance of the entire trip?
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d - 6 = distance back
time = distance ÷ speed
x = d/20
x = (d - 6)/(16)
so d/20 = (d - 6)/16. Cross multiply
20d - 120 = 16d
-120 = -4d
30 = d so the whole trip assuming the bird gets back to the starting point is 60 miles
Can someone show me how to do this pleases?!.
solve the equation.
- 2 = 3x/5 + 1
Answers
1. -2=1/2x
2.1/2x=-2
3. 2*(1/2x)=(2)*(-2)
4. x=-4
Hope this helps :)
-2=1/2x
1/2x=-2
2*(1/2x)=(2)*(-2)
x=-4
I hope this helped! :)
How long should the metal stripping be to protect the edge of circular table top if the radius of the top is 2 feet
A) 1.26 feet
B) 4 feet
C) 122 feet
D) 6.28
E) none
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Rewrite the expression 2(1+2)-9 using the distributive property.
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2 + 4 - 9 =
6 - 9 =
-3
this is using the distributive property and not using the 'correct' way
hope this helps
6 people share 3/5 pounds of peanuts equally what fraction of a pound of peanuts does each person receive
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What is the value of this expression? (−8)3
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=-24
Use the Rules for Signs for Multiplication
then multiply the numbers
What best describes the greatest height a ball will bounce off the ground after being dropped from a height of 50 centimeters? Less than 50 centimeters, as the ball transforms some of its thermal energy into sound energy Less than 50 centimeters, as the ball transforms some of its potential energy into sound energy Greater than 50 centimeters, as the ball transforms some of its thermal energy into potential energy Greater than 50 centimeters, as the ball transforms some of its potential energy into thermal energy
Answers
Less than 50 centimeters , as the ball transforms some of its potential energy into ound energy
Explanation:
When a ball is dropped from a height of 50 cm, several factors reduce the initial potential energy (PE) of the ball.
a. Between the time the ball is dropped and when it strikes the ground, aerodynamic frictional forces consume some of the PE.
b. When the ball hits the ground, the remaining PE is converted into kinetic energy (KE) as it strikes the surface.
c. The KE is dissipated by energy required to deform the ball, some of the KE is transformed into sound energy, and some of the KE is lost by frictional forces that generate heat (thermal energy).
d. The remaining energy is stored in the ball, and it causes the ball to rebound as if it was a wound spring with stored energy. The coefficient of restitution defines how much of the PE is stored for the rebound.
Answer:
B) Less than 50 centimeters , as the ball transforms some of its potential energy into sound energy
the costume designer decides to make the sashes a little smaller, so that each of the 8 dresses can have a sash. What fraction of fabric should the costume maker use to make each sash
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The fraction that the costume maker should use for each sash is 1/8 of the total fabric available, as the fabric is being evenly divided among the 8 dresses.
Explanation:
If the costume designer is making sashes for 8 dresses and aims to use each bit of fabric equally, then each sash should consist of 1/8 of the total fabric. This is because the total fabric is being divided evenly among the 8 dresses. For example, if the costume designer has 8 yards of fabric, then each sash would use 1 yard of fabric (8 divided by 8 equals 1).
In fraction terms, each sash uses 1/8 of the fabric available. So for each dress, the costume designer should use 1/8 of the total fabric to make a sash.
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Line l passes through the origin and point (3,4).What is the slope of a line parallel to line l
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so, that's the slope of a line passing through the origin and 3,4, and any line parallel to it, will have the same exact slope.
I mean obviously u.s prices are cheaper but is it really better? I need help
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Which of the following are good ideas to use when gathering your resources? Check all that apply
A. List potential formulas.
B. Draw a diagram.
C. Guess at the solution and see if you are close.
D. Write down the facts.
E. Form an equation.
F. Organize into a table.
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E. Form an equation.
F. Organize into a table.
A. List potential formulas.
And
D.
When gathering resources for problem-solving, the following ideas can be helpful:
A. List potential formulas.B. Draw a diagram.D. Write down the facts.E. Form an equation.F. Organize into a table.The given options are all effective strategies that can assist in organizing and understanding the problem, as well as formulating a solution.
Option C, guessing at the solution, might not always be reliable or effective in all scenarios and is not considered a systematic approach.
Therefore, it may not be considered a recommended idea when gathering resources for problem-solving.
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What is the volume of a 575 gram bar of pure gold
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v=575÷19.32 v=about 29.8
rewrite 19/30 and 13/20 so that they have a common denominator then Then, use
<
,
=
, or
>
Answers
Note that 30 and 20 share the common factor 10. Multiplying 3 and 2 together produces 6. The LCD is 10*6 = 60. Note that both 30 and 20 divide into 60 with no remainder.
Then 19/30 = 2(19) / 2[30] = 38/60, and
13/20 = 3(13) / 3[20] = 39/60.
Which is larger, 38/60 or 39/60?
Write the relationship between these 2 numbers using the appropriate inequality operator.
Answer: [tex]\dfrac{38}{60}<\dfrac{39}{60}[/tex]
Step-by-step explanation:
The given fractions : [tex]\dfrac{19}{30}\text{ and }\dfrac{13}{20}[/tex]
The denominators of the above fraction : [tex]30, 20[/tex]
Least common multiple (LCM) of (30,20)=[tex]3\times2\times5\times2=60[/tex]
Multiply 2 to the numerator and denominator of [tex]\dfrac{19}{30}[/tex] and 3 to the numerator and denominator of [tex]\dfrac{13}{20}[/tex], we get
[tex]\dfrac{19\times2}{30\times2}=\dfrac{38}{60}[/tex]
[tex]\dfrac{13\times3}{20\times}=\dfrac{39}{60}[/tex]
Clearly , [tex]\dfrac{38}{60}<\dfrac{39}{60}[/tex]
The area of a circle is 25 in. What is it’s radius?
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find decimal notation 75 percent
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Hope this helps!
A submarine is 671 feet below sea level. If it ascends 218 feet and then descends 1363 feet, what is its new position?
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Answer:
c = 1816 feet below sea level
Step-by-step explanation:
which is greater - 0.2 ml. or 0.15 ml.
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hope this helps
An electric current, I, in amps, is given by I=cos(wt)+√8sin(wt), where w≠0 is a constant. What are the maximum and minimum values of I
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Final answer:
The maximum value of the electric current I is 1 + √8, and the minimum value is -1 - √8, found by considering the amplitudes of the cosine and sine components in the given function.
Explanation:
The maximum and minimum values of an electric current, I, can be found by analyzing the function I=cos(wt)+√8sin(wt), where w is a constant and ≠0.
To find the maximum and minimum values, we need to consider the amplitude of the sine and cosine components separately. The maximum amplitude of the cosine function is 1, and for the square root of 8 times the sine function, it is √8. Therefore, the maximum possible value of the current is when both the sine and cosine functions are at their peaks. In this case, the maximum value of I would be 1 + √8.
To find the minimum value, we consider the case when the cosine function is at its minimum value, -1, and the sine function is also at its minimum, which can also be - √8. Therefore, the minimum possible value of I would be -1 - √8.
you have 5 quarts of paint. It takes 5/8 quarts to paint each chair you are asked to paint. How many chairs can you paint?
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Services provided by public-service companies, such as water, electricity, and gas, are all known as
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Answer:
Step-by-step explanation:
A. UTILITIES
find factors of 14y^2+41y+15
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What are the maximum data rates of 802.11 legacy, 802.11a, 802.11b, and 802.11g?
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802.11a = 54 Mbps
802.11b = 11 Mbps
802.11g = 54 Mbps
The 802.11 standards designate maximum data rates: 802.11 legacy offers 2 Mbps, 802.11a and 802.11g both offer 54 Mbps, and 802.11b offers 11 Mbps. These maximum rates depend on ideal conditions and can be lower in real-world usage.
Explanation:The 802.11 wireless standards determine the maximum achievable data rates between a wireless device and a wireless access point. Here are the maximum data rates for the 802.11 legacy, 802.11a, 802.11b, and 802.11g:
802.11 legacy: The theoretical maximum speed is 2 Mbps.802.11a: It has a maximum data rate of 54 Mbps.802.11b: This standard allows for a maximum data rate of 11 Mbps.802.11g: This offers a maximum data rate of 54 Mbps, the same as 802.11a, but it is more widely compatible with other devices as it operates on the 2.4 GHz band.It's important to note that these are the maximum possible data rates, under ideal conditions. In real-world usage, the actual data rate can be lower due to factors such as distance from the access point, interference, and the number of devices connected to the network.
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A package of 10 cans of soup costs $14. An individual can costs $2. You need at least 25 cans. Find the price of each combination of items.You decide to buy 3 packages of 10 cans. How much do you pay for each can?
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25×$2=$50 individual can cost
30×$2=$60, cost of cans individually bought
so the third problem would be the correct answer because it asks how much for each can
Answer:
$1.4
Step-by-step explanation:
Given, Price of a package of 10 cans = $14
and, Price of an individual can = $2
Now, if I have to purchase at least 25 cans their are two possible ways:
Purchasing 2 packages of the can and then purchase rest individual cans. Thus, if I have to purchase 25 cans it costs: 14 × 2 + 5 × 2 = $38.Purchasing 3 packages of cans. It will cost me: 3 × 14 = $42. But it will give me an extra 5 cans.
Further, if I decided to buy 3 packages of 10 cans it will cost me $42 and I will pay $1.4 for each can.