Answer:
Center: (-1,-3)
Radius: 4.12 units
Step-by-step explanation:
Hi there!
1) Find the center of the circle
When given two diameter endpoints, we can find the center of the circle by calculating for the midpoint since the center lies in the middle of the points:
Midpoint: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2})[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the diameter endpoints (3,-2) and (-5,-4)
[tex](\frac{3+(-5)}{2} ,\frac{-2+(-4)}{2})\\(\frac{3-5}{2} ,\frac{-2-4}{2})\\(\frac{-2}{2} ,\frac{-6}{2})\\(-1,-3)[/tex]
Therefore, the circle is centered at (-1,-3).
2) Find the radius of the circle
The radius of a circle is the distance between the outside edge and the center. We can find the radius by calculating for the distance between the center of the circle and one of the diameter endpoints.
Distance formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the center (-1,-3) and a diameter endpoint (3,-2)
[tex]d=\sqrt{(3-(-1))^2+(-2-(-3))^2}\\d=\sqrt{(3+1)^2+(-2+3)^2}\\d=\sqrt{(4)^2+(1)^2}\\d=\sqrt{16+1}\\d=\sqrt{17} \\d=4.12[/tex]
Therefore, the radius of the circle is approximately 4.12 units when rounded to the nearest hundredth.
I hope this helps!
13 is what percent of 20
13 is 65 percent of 20
How to determine the percentIt is important to note that percentage is the ratio of a number and the number zero.
From the information given, we have that;
13 is what percent of 20
This is represented as;
13/20 × 100
Multiply the values, we get;
13/ 1 × 5/1
Multiply the values, we have;
65%
Learn more about percentage at: https://brainly.com/question/24877689
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Help please !!!!!!!!!!!
Answer:
See below for answers and explanations to the first 5 problems
Step-by-step explanation:
Problem 1:
cos(x) = 2/3
sec(x) = ?
sec(x) = 1/cos(x)
sec(x) = 1/(2/3)
sec(x) = 3/2
Problem 2:
sinβ = -5/6
cscβ = ?
cscβ = 1/sinβ
cscβ = 1/(-5/6)
cscβ = -6/5
Problem 3:
secφ = 2
tanφ = √3
sinφ = ?
secφ = 1/cosφ
tanφ = sinφ/cosφ
tanφ = sinφ/cosφ
tanφ = sinφ(1/secφ)
√3 = sinφ(1/2)
2√3 = sinφ
Problem 4:
secθ = 8
tanθ = 3√7
cscθ = ?
secθ = 1/cosθ
tanθ = sinθ/cosθ
cscθ = 1/sinθ
tanθ = sinθ/cosθ
tanθ = sinθ(1/cosθ)
3√7 = sinθsecθ
3√7 = sinθ(8)
(3√7)/8 = sinθ
cscθ = 1/sinθ
cscθ = 1/((3√7)/8)
cscθ = 8/(3√7)
cscθ = (8√7)/21
Problem 5:
sinθ = 2/√5
cosθ = 1/√5
tanθ = ?
tanθ = sinθ/cosθ
tanθ = (2/√5)/(1/√5)
tanθ = (2/√5)(√5)
tanθ = 2
PLEASE HELP ME ASAP!!! Alex has 64 cubes with dimensions in feet like the one shown. (1/2 ft). He uses all the cubes to fill a box shaped like a larger rectangular prism. What is the volume, in feet, of the larger rectangular prism?
Answer: MARK AS BRAINLIST PLZ:)
A) First, find the volume of each cube:
V = s³
= (1/2)³
= 1/8 ft³
We have a total of 64 cubes, therefore the maximum volume will be:
Vmax = 64 · (1/8) = 8 ft³
B) The volume of a rectangular prism is given by:
V = w × l × h
Therefore any combination of w × l × h = Vmax = 8 will be fine.
Examples:
2 × 2 × 2
4 × 2 × 1
Step-by-step explanation:
HOPE IT HELPS BRAINLIST
Write the equation of the circle graphed below.
Marking brainliest if correct
Answer:
This is the equation that you have to write open this picture I send you the equation
This is the Answer for your question :3
I hope you are having a great day ❤️❤️❤️❤️
The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 243 cubic units.
What is the height of the cylinder?
2 units
4 units
6 units
8 units
Answer: C 6 units
Step-by-step explanation: Edg
HELLPPPP ITS ARGENT PLZ
the 7 grade leadership class is planning a movie night for all 7 grade students. they are going to do a small survey to help them choose a movie. they will ask 25 people what movie they would like to see. which group f students will most accurately represent the target population
A; the 25 students in the 7 grade leadership class
B; 25 students selected at random at the girls basketball game
C; the first 25 students to fill out the surveys let in the lunch room
D; 5 studentes select at random from each of the five 7 grade English classes
Someone please help me with this question!
Item 8
Find the surface area of the prism.
Answer:
[tex]324~ m^2[/tex]
Step-by-step explanation:
[tex]Given: L=9m, ~B=9m,~H=4.5[/tex]
[tex]Surface ~area= 2(LB+BH+HL)[/tex]
[tex]2(9*9+9**4.5+4.5*9)[/tex]
[tex]2(81+40.5+40.5)[/tex]
[tex]2*162[/tex]
[tex]324m^2[/tex]
-------------------------------
hope it helps...
have a great day!!
The Table below is a data set that lists how many pairs of shoes are owned by some of your classmates.
Using the data set, what is the median?
Answer:
7.5
Step-by-step explanation:
To find the median, first order the numbers from least to greatest:
2, 4, 5, 7, 8, 8, 10, 12
Then, find the middle number (number in the middle):
There are 2 middle numbers. 7 and 8.
Because there are 2 numbers, we need to find the average. If there was only one number, that would be the median.
To find the average, add 7 and 8. Then, divide the sum by 2 because there are 2 numbers;
7 + 8 = 15
15 / 2 = 7.5
Have a nice day!
If x/y =6, y/w =4, and x=36, what is the value of w? (A) 1 2 (B) 3 2 (C) 2 (D) 4 (E) 6
Answer:
w = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{y}[/tex] = 6 and x = 36 , then
[tex]\frac{36}{y}[/tex] = 6 ( multiply both sides by y )
36 = 6y ( divide both sides by 6 (
6 = y
Then
[tex]\frac{y}{w}[/tex] = 4 , that is
[tex]\frac{6}{w}[/tex] = 4 ( multiply both sides by w )
6 = 4w ( divide both sides by 4 )
[tex]\frac{6}{4}[/tex] = w , that is
w = [tex]\frac{3}{2}[/tex]
plz help ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
B. $5039.58
Step-by-step explanation:
compound interest formula: amount = p(1 + \frac{r}{n})^{nt}
p= principal ($2,300)
r= interest rate as a decimal (4% = 0.04)
n= number of times the principal is compounded per year (annually = onceper year so 1 time per year)
t= time in years (20 years)
new equation: amount = 2300(1+\frac{0.04}{1} )^{1*20}
That equation equals $2,739.58 which you add to the principal.
$2,739.58 + $2,300 = $5039.58
hope this helps :)
Preston teaches at an international school. After reading an article about the distribution of the world's population by continent, he wanted to test if the distribution of students in his school was similar. He collected information about all 320 students in his school. Here are the results:
Preston wants to perform x^2 goodness-of-fit test to determine if these results suggest that the distribution of students doesn't match the reported distribution.
What is the expected count of students from Australia in Preston's group?
Answer:
Since there are 320 students, and Preston expects 0.5% of them to be from Australia, the expected count of students from Australia is 0.005 (320) =1.6
The expected count students from Australia is 1.6.
Step-by-step explanation:
The expected count of students from Australia in Preston's group is equal to 1.6.
What is a goodness-of-fit test?A goodness-of-fit test can be defined as a statistical tool that is used to test if sample data fits into a set of observations or distribution from a given population.
This ultimately implies that, a goodness-of-fit test helps to determine whether on not sample data represents the data that are expected in an actual population.
Given the followin data:
Popuation = 320 students.
Expected percent (Preston's group) = 0.5% = 0.005.
Expect count = 0.005 × 320
Expect count = 1.6.
Read more on goodness-of-fit test here: https://brainly.com/question/16910222
Point A(2, 5) is dilated from the origin with scale factor 3 , resulting in point A′ . Darius says the coordinates of point A′ are (6, 15) . Marcia says the coordinates of point A′ are (4, 13) . Who is correct?
Answer:
It actually doesn't matter! The key thing is that the dilation value affects the distance between two points. As in the first example (dilation by a factor of 3), A is originally 1 unit down from P and 2 units to the left of P.
1*3 = 3, so A' (the dilated point) should be 3 units down from P.
2*3 = 6, so A' should be 6 units to the left of P.
It doesn't matter if you go left first or down first, because you always determine the location of A' with respect to P based on the location of A (which doesn't move) with respect to P.
Step-by-step explanation:
PLEASE MARK BRAINLIEST!!!!!!!!!!!!!!!!A copper key is placed in a cylindrical container with a 3-cm diameter. The water level rises from 14 cm to 14.6 cm. What is the volume of the key?
Answer:
if u any doubts pls refer the link
https://estudy-helpers.com/mathematics/question513373753
Fiona drew a regular polygon that first maps directly onto itself after rotating 15 degrees. How many sides does the polygon have? 12 15 24 48
Answer:
24
Step-by-step explanation:
Let n = number of sides
15n = 360
divide both sides of the equation by 15
n = 24
Answer:
24
Step-by-step explanation:
Let n = number of sides
15n = 360
divide both sides of the equation by 15
n = 24
How many ways can you arrange the letters in the word Vacuum?
Answer:
The answer is 360 ways
Step-by-step explanation:
Answer:
720 arrangements
So the six letters can be a combination of 6×5×4×3×2×1 letters or 720 arrangements.
Step-by-step explanation:
At a point on the ground 50 feet from the foot of a tree, the angle of
elevation to the top of the tree is 53 degrees. Find the height of the tree.
Round to the nearest hundredths.
Answer:
66.35 feet
Step-by-step explanation:
We solve the above question using the Trigonometric function of Tangent
= tan θ = Opposite/Adjacent
θ = 53°
Opposite = Height of the tree = h
Adjacent = Point of the ground from the foot of the tree = 50 ft
Hence,
tan 53 = h/50ft
Cross Multiply
h = tan 53 × 50ft
h = 66.352241081 ft
Approximately to the nearest hundredth, the height of the tree = 66.35 feet
How do i solve problems like this
Answer:
x = - 2
Step-by-step explanation:
Question is in answer! Thank you and have a good day/night! No links!!
Answer:
3. $3 + (5 * $3) = a, that is the answer
i do not understand number 11 on my assignment, the question is what is 18+5x=8x
Answer:
[tex]\huge{\boxed{\boxed{\tt { ⎆ ✍ Answer :- }}}} \ [/tex]
[tex]18 + 5x = 8x \\ 18 = 8x - 5x \\ 18 = 3x \\ \frac{18}{3} = x \\ 6 = x[/tex]
Answer:
18 + 5x = 8x
5 -8 = 3x
18 = 3x
18 divded by 3 = 6
x = 6
Step-by-step explanation:
the question is in the picture. I need help fast if possible. Thank you
Answer:
145
Step-by-step explanation:
Supplementary angles add up to equal 180 degrees
Thus, ∠ABC + ∠DEF = 180°
If ∠ABC = 35
Then 35 + ∠DEF = 180
180 - 35 = 145
Hence, ∠DEF = 145
Manny walked around a basketball court. The court is 27 m long and 17 m wide. What is the perimeter of the court? a. What is asked?
Answer: 88 m
Step-by-step explanation:
A basketball court takes the shape of a rectangle and the perimeter of a rectangle is calculated by the formula:
= Length + Length + Width + Width
Slotting the figures in will give:
= 27 + 27 + 17 + 17
= 88 m
ASNWER ALL FOUR YES AND NO ANSWERS FOR 25 POINTS
Answer:
Yes
No
No
Yes
Step-by-step explanation:
Cosine of theta is adjacent over hypotenuse.
Sine of theta is opposite over hypotenuse.
Ms. Dos has already driven 94.6 miles towards los angeles and it took her 1.1 hours to get that far write a multiplication problem that gives Ms. Dodos average speed
Answer: 86 mph
Step-by-step explanation:
Given
Ms. Dos has driven 94.6 miles
Time is taken 1.1 hours
Average speed is given by the ratio of total distance and total time taken
[tex]\Rightarrow \text{Average speed v=}\dfrac{94.6}{1.1}\\\\\Rightarrow v=86\ mph[/tex]
HELP ASAP! Find the area of the shaded region.
Answer:
73.4
Step-by-step explanation:
the answer is 73.3966
What is the area for the parallelogram
a. 4664.49 squared cm
b. 4272 squared cm
c. 4000 squared cm
d. 3690 squared cm
=========================================
Work Shown:
area = base*height
area = c*h
area = 89*48
area = 4272 square cm
Side notes:
The base and height are always perpendicular to one another.The value of a = 52.41 isn't used at all.Does anyone know how to solve this?
Strictly increasing functions:
Let a function f(a) for x = a, then,
f(a + h), for x = a + h,
If f(a + h) > f(a), we say this a strictly increasing function, as with increase in x, f(x) also increases.
In the given graph, there are straight lines so you can say increasing interval would have +ve slope.
For x = -5 to -4, it increases = [-5, -4]
For x = 1 to 3, it increases = [1, 3]
Answer: [-5, -4] , [1, 3]
55 POINTS
In a group of 23 students, 2 study both Art and Biology.
2 study Biology but not Art.
4 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answer: there are 2 student art and 19 student study Biology
Step-by-step explanation:
Because 4 is already study neither subject.
The table below shows how the length of Alex's
lizard changes over time.
Age
(years)
Length
(centimeters)
1
1
5.0
2.
7.4
3
9.8
4
12.2
5
14.6
What is the slope of the table?
Answer: The domain is all possible inputs and the inputs in this are {1, 2, 3, 4, 5}
Step-by-step explanation:
Inputs(Domain) 1, 2, 3, 4, 5 Outpust (Range) 5.0, 7.4, 9.8, 12.2, 14.6
find sin(a) in the triangle
Answer:
the answer is [tex]\frac{20}{29}[/tex]
Step-by-step explanation: