What is the equation of a circle whose center is at (2,-4) and has a radius of 5 units?
Answer:
[tex](x - 2)^2 + (y +4)^2 = 25[/tex]
Step-by-step explanation:
Given
[tex](h,k) = (2,-4)[/tex] --- center
[tex]r = 5[/tex] --- radius
Required
Determine the equation
The equation of the circle is:
[tex](x -h)^2 + (y - k)^2 = r^2[/tex]
From the given parameters, we have:
[tex]h = 2[/tex]
[tex]k = -4[/tex]
[tex]r = 5[/tex]
So:
[tex](x -h)^2 + (y - k)^2 = r^2[/tex]
[tex](x - 2)^2 + (y --4)^2 = 5^2[/tex]
Express -- as +
[tex](x - 2)^2 + (y +4)^2 = 5^2[/tex]
Evaluate the squares
[tex](x - 2)^2 + (y +4)^2 = 25[/tex]
ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
D
120%
AT
>C
B
Angles are not drawn to scale.
Enter
Answer:
Solution given:
x+120°=180°[linear pair][supplementary]
x=180°-120=60°
x=60° is your answer
Which object is located at the point (4.3)
A. Star
B. Circle
C. Triangle
D. Rectangle
Which one is it help me pls
Determine the value of θ using a trigonometric ratio.
Question 11 options:
A)
55.15°
B)
34.85°
C)
29.74°
D)
0.01°
answer
B)34.85°
ur very welcome
Answer:
34.85°
Step-by-step explanation:
Hello, just got done with this exam and got the answer correct!
The circle with radius r units is divided into congruent sectors to create the shape shown below.
For estimation purposes, the shape formed by the sectors is considered to be a parallelogram. Which statement is true?
Answer:
A
Step-by-step explanation:
Just took the test
The statement that asserts a true claim would be:
A). The height is approximately r units and the base length is approximately πr units.
What is the sector?The sector is described as an element of the circle or a part that extends to the center.
In the given figure, the height of the congruent sectors would be equivalent to r units as the radius is r units.
While the length of its base would be equivalent to πr units to denote the base length.
Thus, option A is the correct answer.
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Rachel received 27 cents in change after purchasing a pet gerbil. How many different combinations of coins could she have received from the store clerk? Make a list of all the possibilities. Use the space below to write all of the possibilities. One has been done for you.
Answer:
gfddgjjjffdbbshshhshshshhshhbsbdbddbdvbd
Please help please no random Answers and also please explain
Answer: A- she can not mow 1 and 1/4 in an hour.
Step-by-step explanation:
set up a ratio
[tex]\frac{.5}{25} =\frac{x}{60}[/tex] (1/2 acre is 25 minutes, x acre in 60 minutes)
cross multiply to solve
.5(60)=25x
30=25x
1.2=x- she can mow 1.2 acres in 60 minutes, 1.2= [tex]1\frac{1}{5}[/tex]
Need work to be shown as well
Answer:
B) 40 yd²
Step-by-step explanation:
Square = 4x4=16
Triangle = 1/2x6x8=24
16+24=40 yd²
Answer:
The answer is B, 40yd2
Step-by-step explanation:
hope this helps
What is the mean?
1 6 1 10 5 5 7
Answer:
5
Step-by-step explanation:
if u add al of these it equals 35 divided by 7 equals 5
the product of 215 and 2
Answer:
430
Step-by-step explanation:
The "product" means multiply
215*2=430 or you can break it up:
215+215=430
Answer: 430
→Hope this helps!←
$16,000 is invested for 3 years with an APR of 3% and daily compounding. The balance in the account after 3 years is
Answer:
$17,440
Step-by-step explanation:
the interest every year
=$16,000×3%
=$16,000×3/100
=$480
the balance after 3 years
=$16,000+3($480)
=$16,000+$1,440
=$17,440
Consider the first six terms of this sequence:
3, 6, 12, 24, 48,96...
If the sequence defines a function, what is the range?
A. {All Integers}
B. {All Real Numbers)
C {1, 2, 3, 4, 5, 6, ...}
D. {3, 6, 12, 24, 48, 96, ...}
Answer:
A. {All Integers}, because it will go on forever
need help with linear function 2 sad face
the awnser is graph A.
you find the two point that the line is going through and count the squares going up (rise) and count the squares going a cross (run). and that is the slope and the -3 is where the point is on the y intercept
The length of a rectangle is 3 times the width, w. Which expressions represent the perimeter of the rectangle?
A - 4w
B - 7w
C - 8w
D - 5w + 2w
E - 2(3w + w)
F - 2(3w) + 2w
Answer:
c,e,f,
Step-by-step explanation:
The answer for this question is C, E and F .
Given that the length is 3 times the width. So firstly, you have to find the expression of length :
Let width = w,
Next, the perimeter of rectangle is P = 2(length+width) so you have to substitute the expression into the formula :
Let length = 3w
Let width = w,
have a good day /night
may i please have a branllist
Eddie's bedroom is shaped like a rectangle. It has an area of 208 square feet. The width of the room is 13 feet. What is the length?
Answer:
16
Step-by-step explanation:
Answer:
16 feet is the length.
Step-by-step explanation:
The area of a rectangle is A = L x W
If we know the area then:
208 = L x 13
208/13 = L
L= 16 feet
Find the magnitude of vector v that has an initial point of (1, 3) and a terminal point of (7, 1)
v=2√10
v=2√14
v=4√2
v=4√5
Answer:
It's totally correct with no doubt
Miranda surveyed her classmates about the number of cousins each of them has. Her results are shown in the box plot below. Number of Cousins 3 4 5 6 7 8 9 Cousins Based on the data in the box plot, which statement could be true? There are more students who have 7 to 9 cousins than 6 to 7 cousins. The range of the number of cousins is 9. There is the same number of students with more than 6 cousins than the number of students with less than 6 cousin. number of cousins is 6.
Answer:
third option
Step-by-step explanation:
the median - of 6 - divides the data set into halves (theoretically, number of cousins is 50% less than 6 and 50% more than 6)
Answer:
Step-by-step explanation:so you have to divide
13
A company studied the number of lost time acedents occurring at its Brownsville, Texas, plant. Historical records show that 0% of the employees suffered lost
time accidents last yean Management believes that a special safety program will reduce such accidents to 6% during the current year. In addition, it estimates
that 10% of employees who had lost time accidents last year will experience a lost time accident during the current yean
a. What percentage of the employees will experience lost-time accidents in both years (to 2 decimale)
0.015
b. What percentage of the employees will suffer at least one lost time accident over the two year period (to 2 decimals)?
10 Feedback
Incorrect
Hint) Check My Work
outon kry
Answer:
A) 0.01
B) 0.07
Step-by-step explanation:
We are given;
P(accidents last year) = 0% = 0
P(accidents this year) = 6% = 0.06
P(accidents last year | accidents this year) = 10% = 0.1
A) We want to find the percentage of the employees will experience lost-time accidents in both years.
From multiplication rule in probability, we know that;
P(A & B) = P(A) × P(B|A) = P(B) × P(A|B)
Thus;
P(accident in both years) = P(accidents this year) × P(accidents last year | accidents this year)
P(accident in both years) = 0.06 × 0.1
P(accident in both years) = 0.006
To 2 decimal places gives; 0.01
B) from the addition rule, we know that;
P(A or B) = P(A) + P(B) - P(A & B)
Thus;
P(accident last year or this year) = P(accidents last year) + P(accidents this year) - P(accident in both years)
P(accident last year or this year) = 0 + 0.06 + 0.006 = 0.066
To 2 decimal places = 0.07
Six measurements were made of the magnesium ion concentration (in parts per million, or ppm) in a city's municipal water supply, with the following results. It is reasonable to assume that the population is approx. normal.
DATA: 202, 164, 157, 177, 113, 213202, 164, 157, 177, 113, 213.
Based on a 98% confidence interval for the mean magnesium ion concentration, is it reasonable to believe that the mean magnesium ion concentration may be greater than 195?
Answer:
The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195
Step-by-step explanation:
The six measurements are:
202, 164, 157, 177, 113, 213
Sample mean:
Sum of all values divided by the number of values which is 6. So
[tex]S_m = \frac{202+164+157+177+113+213}{6} = 171[/tex]
Sample standard deviation:
Square root of the difference squared between each value and the mean, and divided by 1 subtracted by the sample size. So
[tex]s = \sqrt{\frac{(202-171)^2+(164-171)^2+(157-171)^2+(177-171)^2+(113-171)^2+(213-171)^2}{5}} = 35.69[/tex]
Confidence interval
We have the standard deviation for the sample, which means that the t-distribution will be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 6 - 1 = 5
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 3.365
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 3.365\frac{35.69}{\sqrt{6}} = 49[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 171 - 49 = 122 ppm
The upper end of the interval is the sample mean added to M. So it is 171 + 49 = 220 ppm
The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195
1. Of the 100 fourth-grade students at Patterson Elementary, 57 are girls. What portion of the fourth-grade class at Patterson elementary is female? Express your answer as a decimal.
Answer:
girls 57/100 57% 0.57
Step-by-step explanation:
boys 43/100 43% 0.43
all the ways
The portion of girls in the fourth grade class will be 57/ 100 and in the decimal form it will be 0.057.
It is given that there are total 100 students at a school in fourth grade out of which 57 are girls.
We have to find out the portion of girls in the fourth grade class and express it to decimal.
What is the decimal fractions ?
Decimal fractions are the fractions in which the denominator must be 10 or a multiple of 10 i.e., 100, 1000, 10000, and so on.
As per the question ;
57 are girls out of total 100 students in a class at a school.
The number of boys will be ;
= 100 - 57 = 43
The no. of girls in fraction form will be ;
= 57 / 100
and in the decimal form it will be ;
= 0.057
The no. of boys in decimal form will be ;
= 47 / 100
= 0.047
Thus , the portion of girls in the fourth grade class will be 57/ 100 and in the decimal form it will be 0.057.
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Is f(x)=-3x+1 even or odd?
A function is even if f(x)=f(-x), and odd if f(x)=-f(-x). If a function satisfies neither of these, it is neither even nor odd.
[tex]f(x)=-3x+1\\f(-x)=-3(-x)+1=3x+1[/tex]
Since f(x) is equal to neither f(-x) nor f(-x), the function is neither even nor odd.
A water tank is in the shape of a cylinder with a height of 20 feet and a volume of 1,004.8 cubic feet. What is the radius, in feet, of the water tank?
Answer:
This answer is A
Step-by-step explanation:
Just believe me its the right answer
A ferry began its journey at 08 00 and travelled 208 km towards its destination.
The average speed of the ferry was 32 km/h. What time did the ferry reach its
destination?
please help
answer:
14 30
Step-by-step explanation:
208/32=6.5
6.5 hours is 6 hours 30 min
08 00 + 6h 30min =14 30/2.30
The ferry reached its destination at approximately 14:30 or 2:30 PM.
To determine the time the ferry reached its destination, we need to divide the distance traveled by the average speed of the ferry.
Distance traveled = 208 km
Average speed = 32 km/h
Time = Distance / Speed
Time = 208 km / 32 km/h
Calculating this, we find:
Time = 6.5 hours
Since the ferry started its journey at 08:00, we can add 6.5 hours to that time to determine the arrival time.
08:00 + 6.5 hours = 14:30
Therefore, the ferry reached its destination at approximately 14:30 or 2:30 PM.
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4. Which number has the smallest value?
O s
Os
O
Os
w
O s
Step-by-step explanation:
The first fraction has the smallest value
3.
Gary needs to cut a length of ribbon into 10 pieces. Each
piece must be 50cm long. What length of ribbon does he
need to buy?
Answer:
he needs 500 cm of ribbon
Step-by-step explanation:
pieces cut =10
size of pieces = 50 cm each .
50 × 10 = 500 answers
You have a cylinder that has a diameter of 2 and height of 5
Answer:
15.71 cubic inches
257.41 cm³
0.26 liters
Step-by-step explanation:
the formula for the area of a triangle is 1/2bh=A. Which of the not a first step to rearrange this formula to find to find the base of the triangke?
Answer:
base=area=1/2b×h
Step-by-step explanation:
it's a pleasure to help you goodbye. if I'm wrong tell me right away.
50 pts please help asap
Answer:
solution:
the measure of arc AD
:
arc AD+arc CD=180° linear pair
arc AD=180-45=135°
the measure of arc AD=135 degree
whats the answer fto 2puls 2
Answer:
The answer to this question is 4.
Find the measure of < 1.
