Answer:
2
Step-by-step explanation:
Find m
86
W
X
•
N
156
Y
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.
Find a formula for an arithmetic sequence that begins 80, 83, 86, 89, ...
Answer:
[tex]a_{n}[/tex] = 3n + 77
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 80 and d = a₂ - a₁ = 83 - 80 = 3 , then
[tex]a_{n}[/tex] = 80 + 3(n - 1) = 80 + 3n - 3 = 3n + 77
Kathy dropped a snowball from a building that is 39.2 meters tall. The equation t2 = 39.29.8 represents the amount of time, in seconds, it takes for the snowball to reach the ground. How long did it take the snowball to reach the ground?
Answer:
We note that the equation that is compatible with the given equation is the kinematic equation of free fall where;
t² = 39.2 × 2/9.81
From which we have;
The time it takes the snowball to reach the ground is approximately 2.83 seconds
Step-by-step explanation:
The height of the building from which the ball is dropped, h = 39.2 m
The equation of the dropped a snowball, is given as follows;
t² = 39.2 × 9.8
Using the From the equation of free fall, we have;
s = u·t + 1/2·g·t²
Where;
u = The initial velocity = 0 m/s
t = The time of flight
g = The acceleration due to gravity = 9.81 m/s²
Therefore, we get;
∴ s = The height from which the snowball is dropped = 39.2 m
Therefore, we get;
39.2 = 0×t + 1/2×9.81×t²
∴ t² = 39.2 × 2/9.81 ≈ 7.99
t = √(7.99) ≈ 2.83
The time it takes the snowball to reach the ground, t ≈ 2.83 s.
Answer:
2 seconds
Explanation:
I had to do this assignment that's the correct answer
how to do this question
9514 1404 393
Answer:
7 days
Step-by-step explanation:
(a) Filling in the given information will result in two equations in the two unknowns. Dividing one by the other will tell you the value of b.
n=2
1.8 = A₀·b²
n=3
2.4 = A₀·b³
Dividing the second equation by the first gives ...
2.4/1.8 = (A₀·b³)/(A₀·b²) = b
4/3 = b
__
(b) Substituting this into the first equation, we can find A₀.
1.8 = A₀·(4/3)²
1.8(9/16) = A₀ = 1.0125
A₀ is the value of A when n=0. It is the area of the patch at the beginning of observation, before any days passed.
__
(c) The area will be 7 cm when ...
1.0125·(4/3)^n = 7
(4/3)^n = 7/1.0125 . . . . . . . . . . . . divide by A₀
n·log(4/3) = log(7/1.0125) . . . . . . take logarithms
n = log(7/1.0125)/log(4/3) ≈ 6.72092
It will take about 7 days for the area of the patch to exceed 7 cm.
PLEASE HELP WILL GIVE BRAINLIEST!!!!!
Answer is option B.
[tex] \frac{ - 1}{ 25 } [/tex]
Explanation:
5 to the power -2 can be written as
[tex] {( {5}^{2})}^{ - 1} [/tex]
which will be
[tex] {25}^{ - 1} [/tex]
which will be
[tex] \frac{ - 1}{ 25 } [/tex]
Name two triangles that are congruent by ASA.
Answer:
correct
Step-by-step explanation:
Angle-Side-Angle (ASA) Postulate:
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
<C = <G
CA = GD
<A = <D
Triangle CAT = Triangle GDO are the two triangles that are congruent by the ASA Postulate.
In the coordinate plane below, quadrilateral PQRS is reflected over the x-axis. Which segment is segment QR congruent to?
Answer:
Q'R'
Step-by-step explanation:
Given
Quadrilateral PQRS
Reflected over x-axis
Required
Congruent side to QR
This question has a missing attachment, but can still be solved without the attachment.
When a shape is reflected, the sides and the angles of the shape remain unchanged.
This means that when PQRS is reflected to give P'Q'R'S, the following sides will be congruent.
[tex]PQ = P'Q'[/tex]
[tex]QR = Q'R'[/tex]
[tex]RS = R'S'[/tex]
[tex]SP = S'P'[/tex]
Hence, QR will be congruent to Q'R'
If the area of a circle is 78.5 cm2, what is the circumference of the circle? Use 3.14 for
Answer:
25
Step-by-step explanation:
you might wanna use a calculator
Careers that require a college education often utilize ____________ skills.
A.
professional
B.
vocational
C.
basic
D.
direct
Answer:
the correct answer is A professional
Step-by-step explanation:
x-y=4
What is the slope and Y Intercept?
Answer: m is the slope and b is the y-intercept.
Step-by-step explanation:
it is understandable that the x has a coefficient of 1, so the m is 1 . and the y-intercept( b ) is −4 .
Sylvia is fencing a rectangular rose garden. The hardware store sells fencing for
$22.50/m. Her family has $250 to spend. What dimensions should Sylvia use to
build a garden with the greatest area?
Answer:
Total Money= $250
Fence Price=$22.50/m
Metres can buy= $250/22.50= 11.11 metres
what is this area? marking brainliest
Answer:
57in^2
Step-by-step explanation:
Divide the shape into 2 recatngles.
Imagine a line cuts away a rectangle of length 12in by width 4in. from a square of length (12-9)in. and width (7-4)in
This gives you 2 different shapes
Find their area
Rectangle one has an area of = 12in x 4in = 48in^2
Square has an area of = (12-9) in x (7-4) in = 3x 3 inch = 9in.^2
Find their sum to find the area of the whole compound shape:
48+9 = 57in^2
Hope this helps
Is this correct please help
Has the marrying age of a man changed over the years? The United States Bureau of the Census takes a formal count of everyone in the U.S. every 10 years and has provided the following data that gives the median age of an American man at the time of his first marriage.
Year
1910
1920
1930
1940
1950
1960
1970
1980
1990
2000
Median Age
25.1
24.6
24.3
24.3
22.8
22.8
23.2
24.7
26.1
26.8
What does a rate of change of zero mean in this situation?
a.
The median age of a man at the time of his first marriage is, on the average, constant.
b.
The median age of a man at the time of his first marriage is, on the average, decreasing.
c.
The median age of a man at the time of his first marriage is, on the average, increasing.
d.
The rate of change cannot be zero in this situation.
Answer:
its a on edg 2021
Step-by-step explanation:
The median age of a man at the time of his first marriage is, on the average, constant.
What is the average change rate?It represents the average amount by which the function changed per unit across the time period. It is calculated using the slope of the line connecting the interval's ends on the function's graph.
Assuming that the United States Bureau of the Census conducts a formal census of everyone in the United States every ten years, the following data provides the median age of an American man at the time of his first marriage.
Determine the rate of change between 1950 and 1960.
The average rate of change = [f(a) - f(b)]/ [ a - b ]
The average rate of change is equal to (22.8 - 22.8) / 10 = 0.
As a result, the average rate of change between 1950 and 1960 is zero. B is the right answer.
learn more about average rate of change here:
brainly.com/question/11627203
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6) A garden is a rectangle 6 yards by 8 yards. If you walk diagonally across the garden
instead of along two adjacent sides, how many yards do you save? (5 points)
Answer:
Step-by-step explanation:
10 yards by 15 yards
Step-by-step explanation:
Let the dimensions of each plot x yards by y yards.
If three plots are placed as the y-yards side are common to them then,
The total perimeter will be (6x + 4y) = P = 120 yards {Given} ........... (1)
⇒ 3x + 2y = 60 ........... (2)
Now, the total area of the three plots will be 3xy = A = 450 sq, yards {Given} .......... (3)
Now, solving equations (2) and (4) we get,
⇒ 225 + y² = 30y
⇒ y² - 30y + 225 = 0
⇒ (y - 15)² = 0
⇒ y = 15 yards.
Hence, from equation (4) we get,
x = 150/15 = 10 yards.
Therefore, the dimensions of each plot are 10 yards by 15 yards.
15b>75.Substitute 5 for b
True or False
Answer:
False
Step-by-step explanation:
I need help asap, it was due yesterday and i still dont get it. will give 30 points ! plssss
will mark you brainliest and no links because i have a resticted computer. will report if link.
plsss its very easy for other people. i need help asap
Answer:
I'm pretty sure for the percent question the answer would be A because 6% of 40,000 is 2400 and if I multiply that 5 times I get 12000 so I believe its A!
What is the formula base x height =area like what is that shape of base x height =area
Answer: Formula: ½ x base x height or ½ b x h or ½ bh The base is measured by length The height is measured by length The height and the base must form a 900 angle. 900 angle is a right angle.
Step-by-step explanation:
Two angles are supplementary. The larger angle is 6 degrees less than twice the smaller angle. What is the degree measure of the larger angle?
Which equation represents a line that has a slope of – 2/3 and a y-intercept of 4?
A)
2x + 3y = 12
B)
2x - 3y = 12
C)
3x - 2y = 12
D)
3x + 2y = 12
Answer:
A
Step-by-step explanation:
Slope-intercept form: y=mx+b
2x+3y = 12
3y = 12-2x
y = (12-2x)/3
y = 4-2/3x
Here we can see that the slope is -2/3 and y-intercept 4. We already got the answer so we dont need to try the other options.
State if the triangles in each pair are similar. If so, state how you know they are similar
A. Similar by the sss rule
B.not similar
C. Similar by the aa rule
Answer:
c) similar by the AA rule
Which of the following is not an integer? I need help!
0.54
0
-45
17
Answer:
0.54
Step-by-step explanation:
An integer is a WHOLE number without any fractional parts. Integers can be negative as long as it's a whole number.
I need help plz. Can anyone help me ASAP?
Answer:
6 + 4d + 11c
Step-by-step explanation:
In order to find the perimeter, you add up all the side lengths which would be expressions in this case
(10c + 10) + (c + 5) + (4d - 9)
add like terms: (10c + c) + (10 + 5 - 9) +4d
= 11c + 6 + 4d
which is the same as 6 + 4d + 11c, I just added them in a different order.
Jessica had 8 sheets of paper. Water spilled on 2 sheets, so she threw them in the recycle bin. She drew 7 stars on each remaining sheet. How many stars did Jessica draw?
Answer:
42
Step-by-step explanation:
The remaining sheets of paper can be find in this way:
8-2 = 6
for each sheet of paper she drew 7 stars, so the total can be find in this way:
6 x 7 = 42 stars
Can you answer this please. NO LINKS
Answer:
The answer selected is correct
Step-by-step explanation:
Use the box method to distribute and simplify (-x + 3)(4x + 4). Drag and
drop the terms to the correct locations of the table.
look at png sorry i need to type 20 characters but the chart explains everything
simplify your answer but adding/subtracting like terms
What is 2/5 divided by 4
the answer to the question is 0.1
Answer:
1/10 or 0.1
Step-by-step explanation:
You first rewrite the problem as 2/5÷4/1. Then you flip the second fraction for multiplication: 2/5*1/4. Now you multiply both numerators and denominators to get a final total of 2/20 which equals 1/10 or 0.1.
Between 12:00 PM and 1:00 PM, cars arrive at a local bank's drive-thru at the rate of cars per hour ( car per minute). The formula below from probability can be used to determine the probability that a car will arrive within t minutes of 12:00 PM. Use this information to answer the questions given below in parts (a)(e).
Complete question :
Between 12:00 PM and 1:00 PM, cars arrive at Citibank’s drive-thru at the rate of 6 cars per hour (0.1 car per minute). The following formula from statistics can be used to determine the probability that a car will arrive within t minutes of 12:00 PM. F(t)=1−e^−0.1t
Determine how many minutes are needed for the probability to reach 80%.
Answer:
16.09 minutes
Step-by-step explanation:
Given the function :
F(t)=1−e^−0.1t
To attain 80% probability ; 80% = 0.8
0.8 = 1 - e^-0.1t
0.8 - 1 = - e^-0.1t
-0.2 = - e^-0.1t
Take the In of both sides
In(0.2) = In( e^-0.1t)
−1.609437 = - 0.1t
Divide both sides by - 0.1
−1.609437 / -0.1 = - 0.1t / 0.1
16.09 = t
Hence, the time it'll take will be 16.09 minutes
Answer:
80/100=0.80
.8=1-e^-0.3t
.8+1=-e^-0.3t
1.8=-e^-.3t
t=5.36
Step-by-step explanation:
1/5, 0.25, 20.5%, 4/25, 0.22
Answer 22%
Step-by-step explanation:
Answer:
so I guess I have to put those numbers in a order.
smallest to largest:
4/25, 1/5, 20.5%, 0.22, 0.25
largest to smallest:
0.25, 0.22, 20.5%, 1/5, 4/25
Step-by-step explanation:
1/5 = 0.2
20.5% = 0.205
4/25 = 0.16
Have a nice day!
How many milliliters are 1/5 liter
1/5 liters = 200 milliliters