Given:
A circle with center Z and the points W, X, Y are on the circumference of the circle.
To find:
The measure of angle WXY.
Solution:
From the given figure, we get
[tex]Arc(XY)=156^\circ[/tex]
[tex]Arc(WX)=86^\circ[/tex]
The measure of arc of the complete circle is 360 degrees.
[tex]Arc(WX)+Arc(XY)+Arc(WY)=360^\circ[/tex]
[tex]86^\circ+156^\circ+Arc(WY)=360^\circ[/tex]
[tex]Arc(WY)=360^\circ-86^\circ-156^\circ[/tex]
[tex]Arc(WY)=118^\circ[/tex]
The measure of arc WY is 118 degrees. It means the central angle on this arc is also 118 degrees.
[tex]m\angle WZY=118^\circ[/tex]
According to the central angle theorem, the inscribed angle on an arc is always half of its central angle.
[tex]m\angle WXY=\dfrac{m\angle WZY}{2}[/tex]
[tex]m\angle WXY=\dfrac{118^\circ}{2}[/tex]
[tex]m\angle WXY=59^\circ[/tex]
Therefore, the correct option is A.
If you slice a rectangular pyramid parallel to its base, name the shape of the cross section made in the pyramid.
Answer:
If you slice a rectangular pyramid parallel to the base, you get a smaller rectangle as the cross-section.
Answer:
A rectangle
Step-by-step explanation:
A cross section parallel to the base of a pyramid will be a similar shape as the base of the pyramid. In this case, a rectangle.
The measures of two complementary angles are m<1 = 16z- 9 and m<2 = 4z - 1. Find m<2
Answer:12
Step-by-step explanation:
How would I solve 8n-5=139?
Answer:
18
Step-by-step explanation:
8n=144
divide the both side of the equation by 8
and you will get
n=18
Answer:
8n-5=139
Add 5 to each side.
8n=144
Divide each side by 8.
n=18
Please help me please help me please please someone can please help me this is way too hard please please please please please please please someone please help me
Answer:1 0.05806644 2 64.3818067 m2 3 10.8696557 m2 4 80.2682266 m2 0.13935456 m2 and 15.7935168 m2
Step-by-step explanation:
Find the exact value of each trigonometric function using the unit circle
Answer:
Step-by-step explanation:
8)
co-terminal angle for -960... can you tell me? :D w/o looking at my answer below?
Your answer for co-terminal angle is ______________ :)
960 - 360 = 600
600 - 360 = 240
this is telling us that going in a clock wise direction.. as the -960 is, that the co-terminal angle is 240, which seems about right.. looking at the graph. so now. let's take 240 away from 360 to find that co-terminal angle but going in the positive direction or the counter clock wise direction
360-240 = 120
and yes.. that does look like 120 ° going in the positive direction.
now do you know the sec identity to use sin and cos???
look at the below diagram
sin sec
cos csc
tan cot
the trig function line up like that for a reason
sin 1/sin
cos 1/cos
sin/cos cos/sin
I put them in their sin and cos identities.. see.. they all line up that way
sec = 1/sin
csc = 1/cos
tan = sin/cos
cot = cos/sin
now... find
sec(120) = 1/sin(120)
do you know how to find sin(120) ?????
put it back to it's co-terminal angle in the 1st quadrat... I hope you know how to do this.. i'll just speed along... assuming you do
sin(120) = sin(60)= √3/2
so sec(120) = 1 / √3/2
so sec(120) = 2/ √3
10)
csc(315) = 1/cos(315)
find the co-terminal angle that you know in the 1st quadrant again...
so 315 = 45 in the 1st quadrant.. I just looked and can see that
so
csc(315) = 1/cos(315 = 1/cos(45) and cos(45) = √2/2
so then 1 / √2/2 = 2 / √2
csc(315) = 2 / √2
what i'm really wondering about.. is .. where is question 9)
:DDD
Make “a” the subject of the following formula
y + az = z
A student number system for a county requires that the student number be 5
characters. The first character is a consonant, the second through the fourth characters can be any digit but no digit can repeat and the last character must be a
letter. How many unique student numbers are possible?
546,000 student numbers
393,120 student numbers
302,400 student numbers
468,000 student numbers
Answer:
B
Step-by-step explanation:
First Character: 21 consonant
2nd 3rd and 4th: 10* 9* 8 = 720
Last Character: 26
Total Ways 21 * 720 * 26 = 393120
g(x)=x-3
f(x) = -2x + 2
Find g(f(x)
Answer:
- 2x - 1
Step-by-step explanation:
[tex]g(x)=x-3 \\ f(x) = -2x + 2 \\ g(f(x)) = ( - 2x + 2) - 3 \\ g(f(x)) = - 2x + 2 - 3 \\ g(f(x)) = - 2x - 1[/tex]
Jayden invests money in an account paying a simple interest of 7.6% per year. If he
invests $100 and no morley will be added or removed from the investment, how
much will he have in one year, in dollars and cents?
Answer:
$107.60
Step-by-step explanation:
100 [1 + (0.076 * 1)] = 107.6
= $107.60
Solve the inequality. 2 < 6 - 3r and graph the solution
the answer is 3 because you subtract 6 - 3 = 3r
If you are Hispanic what is your most recent favorite novela ? And if you aren't what is your favorite movie?
Answer:
Step-by-step explanation:
Coco
My fav movie?
Space Jam 2
Prob since I’ma basketball fan :)))
did u need to add water or take water away to get from the 4 cup mark to the 1 liter mark
Answer:
You have to add water.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
The decision to add water to meet the 4 cup mark of water would be:
Yes, the water must be added.
What is volume?"Volume" is described as the measure of a space that consists of length along with height and width.
Given that,
1 liter of water contains 1000 ml.
The capacity of a standard cup is 236.59 ml
If we take 4 cups, the total volume equals:
= 4 × 236.59
= 946.36 ml
Therefore, .23 cups or 53.64 ml of water would be required to be added.
Learn more about "Volume" here:
brainly.com/question/1578538
Which choice is equivalent to the expression below?
6 + 18 +3 15-323
A. 5/5
B. 345 + 6
C. 513 - 6
D. 215 - 24
Please help me please I really need help
Answer:
See below
Step-by-step explanation:
The answer is attached
A gallon of milk costs $3 nowIf the price is increasing 10% per year, how long before a gallon of milk costs $10 a gallon? Round your answer to the nearest thousandth, and you do not need to include units
Answer:
The answer is 33 years.
Step-by-step explanation:
10% of 3 is .3
Just move the decimal to the left.
.3 times 33=9.9
9.9~10
Which statement Is always true?
The sum of two Irrational numbers is rational.
The product of a rational and irrational number is rational.
The sum of two rational numbers is irrational.
The product of two rational numbers is rationall
Answer:
D) The product of two rational numbers is rational.
help em out pls and ill give brainliest
Answer:
- 10/5 = -2
- 1.25 = Box next to -2
0.75 = 2nd box facing the right
-0.5 = Box next to -1.25
3/2 = Last box facing the right
Answer:
-2 = -10/5, next is -1.25, next is -0.5, then 0.75, and finally 3/2, from left to right.
Step-by-step explanation:
Drag each label to the correct location on the image.
Identify the information sources for consumers as either company sources or external sources.
1) customers rating a new
car model on a social
media site
grande03 avatar
2) a billboard sign for a
new car model
grande03 avatar
3) a blog comparing a
new car model to
its competitors
grande03 avatar
4) a television ad for a
new car model
Answer:
It’s company- 2 and 4
External- 1 and 3
Step-by-step explanation:
its right
Please help, I've been stuck on this question for an hour!
Answer:
18 inches
Step-by-step explanation:
Find the area of the shape shown below
Answer:
12 units squared
Step-by-step explanation:
You need to find the area of each individual shape, and then add them together. The area of the square is 4 units squared. The triangle on the left is two units squared (base times height, divided by two,) and the area of the triangle on the left is 6. Add them all together, and you get 12 units squared.
Answer:
24
area is round the outside times them together and you will get the inside
If all the angles are equivalent (the same), the angles must each be 60 degrees because 60 times 3 angles equals 180.
A. True
B. False
Answer: A
Step-by-step explanation: true true true
Cuál es la fuerza total que ejerce 3 personas empujando una carreta? F1 = 30 N, F2 = 45 N, F3 = 38 N?
Respuesta:
113 N
Explicación paso a paso:
Las fuerzas ejercidas se dan como:
F1 = 30 N
F2 = 45 N
F3 = 38 N
A partir de los valores de las fuerzas ejercidas, podemos observar que todas las fuerzas están en la misma dirección; Dado que la fuerza total ejercida es un sol de las 3 fuerzas:
F1 + F2 + F3
(30N + 45N + 38N) = 113 N
A number x, rounded to 2 decimal places is 7.42 write down the error interval for x
Answer:
7.415 ≤ x < 7.425
Step-by-step explanation:
The number x was rounded to 2 decimal places to give 7.42.
Since rounded off to 2 decimal places, the error interval for x is half of 0.01 subtracted from and added to 7.42.
Thus;
7.42 ± (0.01/2)
(7.42 - 0.005),(7.42 + 0.005)
7.415, 7.425
Now, 7.425 will not be included in the internal because approximating it doesn't give 7.42.
Thus,the error interval is;
7.415 ≤ x < 7.425
have another one that I need done ASAP please and thank u!!!
Answer:
1/3
Step-by-step explanation:
(-6,0) (-3,1)
1-0/ -3 - -6 = 1/3
There is a bag filled with 5 blue, 6 red and 2 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 greens?
Answer:
the probability of getting 2 greens is 2/13
Step-by-step explanation:
Which expression is equivalent to 4c + 7 -2C - 3?
a. 2c + 4
b. 2c + 10
C. 6C +4
d. 60 + 10
please answer this question for me
Answer:
200
Step-by-step explanation:
2*5=10
4*5=20
20*10=200
Someone help plz, plz make sure it’s right if it is will mark brainiest :)
Answer:
Step-by-step explanation:
I really don’t know but I think you have to find the hypothenuse first then you can do the rest
Answer:
Step-by-step explanation:
"SAS" is when we know two sides and the angle between them. use The Law of Cosines to calculate the unknown side, then use The Law of Sines to find the smaller of the other two angles, and then use the three angles add to 180° to find the last angle.
Vinay bought a pizza and cut it into three pieces. When
he weighed the first piece he found that it was 7g lighter
than the second piece and 4g.heavier than the third piece.
If the whole pizza weighed 300g. How much did each of
the three pieces weigh?
(Hint: weight of first piece be 'x' then weight of second
piece is 'x + 7', weight of the third piece is 'x - 4')
Answer:
x + x + 7 + x -4 = 300
3x = 297
x = 99 First Piece
x2 = 106 Second Piece
x3 = 95 Third piece
Step-by-step explanation:
Help fast please due in 10 mins
Answer: 465
Step-by-step explanation: