[tex]\fcolorbox{red}{blue}{Answer}[/tex]
78.5 units²
Step-by-step explanation:
[tex] \textsf{\large{\underline{To find :-}}}[/tex]
The area of circle on graph
[tex] \textsf{\large{\underline{Given :-}}}[/tex]
[tex] \sf (x_1,y_1) = (-3,-3) \\ \sf (x_2,y_2) = (2,-3)[/tex]
[tex] \textsf{ \huge{\underline{\underline{Solution :-}}}}[/tex]
We can see in the above question that we have been provided the center of thee circle and line of the circle passes through a point.
So to find the radius we have to find the distance between center of circle and the point from which line passes.
[tex] \sf \blue{ Distance = \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } }[/tex]
Now substituting the required values
[tex] \sf \implies\sqrt{ { \{2 - ( - 3) \}}^{2} + { \{ - 3 - ( - 3) \}}^{2} } \\ \\ \sf \implies \sqrt{ {(2 + 3)}^{2} + {( - 3 + 3)}^{2} } \\ \\ \sf \implies \sqrt{ {5}^{2} + {0}^{2} } \\ \\ \sf \implies \sqrt{25} \\ \\ \sf \implies 5 \: units[/tex]
So the radius will be 5 units
Now we will simply formula for area of circle
[tex] \sf \green{ Area \: of \: circle = \pi {r}^{2} }[/tex]
Now substituting the required values
[tex] \sf \hookrightarrow Area = 3.14 \times {5}^{2} \\ \\ \sf \hookrightarrow Area = 3.14 \times 25 \\ \\ \red{\boxed {\hookrightarrow \frak{78.5 \: {units}^{2} } }}[/tex]
The graph of the circle is plotted with clarity and the area is obtained as 78.5 square units.
How to graph a circle?The graph of a circle can be plotted by knowing its centre and radius.
If radius is not given, then it can be found by knowing the coordinate of any point lying on it.
The radius can be calculated by the distance formula.
The centre of the given circle is at (-3, -3) and it passes through (2, -3).
Now, radius is the distance between the centre and a point lying on circle.
The radius can be calculated by distance formula as below,
√((-3 - 2)² + (-3 - (-3))²) = 5
The graph of the given circle can be drawn as follows,
Now, the area of the circle is πr² = 3.14 × 5² = 78.5
Hence, the graph of the circle is drawn properly and the area is given as 78.5 square units.
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Find the length of z. Round your answer to the nearest tenth.
Jorge is an administrative assistant. He was involved in a serious car accident and broke both wrists. Which of his
insurance plans will provide him with income while he is out of work recovering for six weeks?
A)short-term disability
B)workers' compensation
C)long-term disability insurance
D)medical insurance
Answer:
Medical Insurance
Step-by-step explanation:
Answer:
Medical Insurance
Step-by-step explanation:
serious car accident and broke both wrists.
Winston is making steaks for his 7 friends. If each steak is 7.2 oz, how much steak is Winston making?
Answer:
3.15 lbs or 50.4 oz
Step-by-step explanation:
multiply steak oz by the number of steaks
7.2 * 7 = 50.4
to convert oz to lbs divide by 16
50.4/16 = 3.15
your answer is 50.4 oz or 3.15 lbs
hope this helps:)
What is the median in the box plot?
Answer:
The answer is 76.
Step-by-step explanation:
The median would be the middle number in a box and whisker plot.
If cos x = −1/4 and csc x < 0, find cot x/2
The value of cot x/2 is √3/√5.
What is Trigonometry?Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations.
given:
cos x=-1/4
sin x= √15/4
cosec x= 4/√15
and, cot x= -1/√15
Now, cot x/2= cosec x+ cot x
= 4/√15-1/√15
= 3/√15
= √3/√5
Hence, the value of cot x/2 is √3/√5.
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please answer this!!!
Step-by-step explanation:
sin60 =opp/hyp
0.86=y/20
y=17.2
cos60=adj/hyp
0.5=x/20
x=10
sin57=y/15
0.83=y/15
y=12.45
1-4) Choose Yes or No to tell if the fraction 3/4 will make each equation true. (You are putting the 3/4 in each blank and multiplying to see if it will give you the product given.)
Is 1000 a sequence in 50 65 80 95
Answer: yes
Step-by-step explanation:
it’s the 41st term
Find the distance between the points (2, 8) and (-1, 9).
1.√10
2. √2
3.2√3
Answer:
1.
Step-by-step explanation:
distance = √(X2 - X1)^2 + (Y2 - Y1)^2
= √(-1 - 2)^2 + (9 - 8)^2
= √(-3)^2 + (1)^2
= √ 9 + 1
= √10
Answer:The distance is √10
Step-by-step explanation:
2. Write each of the following in set builder form. A = [5, 10, 15,20]
Answer:
A={x:x is a multiple of five }
The graph below shows the solution to which system of inequalities?
O A. x< 1 and yz x
B. x< 1 and y>x
C. y≤ 1 and y>x
D. y< 1 and yzx
Answer:
y < 1 and y > x
Step-by-step explanation:
Let's find each equation without any inequalities first.
We have a dotted line at y = 1
Now, a dotted line represents exclusivity, and hence; it should not include the = sign
Therefore, the answer is y < 1 and y > x
subtract the quotient of 15 divided by 3 from the sum of 33 and 7
Answer:
(33+7)-(15/3) = 35
Step-by-step explanation:
35
Step-by-step explanation:
fancy way of saying (33+7) - (15/3)
33 + 7 = 40
15 / 3 = 5
40 - 5 = 35
If rosetta sells her house and pays off the mortgage, how much should she receive (assuming there are no other costs associated with selling the house)? $42,000 $50,000 $52,000 $60,000
Based on the amount that Rosetta sells her house and the mortgage she had before she did, the amount she will recieve is $50,000.
How much will Rosetta receive?Rosetta owes a total of $150,000 for her mortgage payment and was able to sell the house for $200,000.
This means that the amount she will recieve is:
= Selling price - Mortgage
= 200,000 - 150,000
= $50,000
In conclusion, option B is correct.
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Answer:
B. $50,000
Step-by-step explanation:
In january, desmond begins saving $25 per month for a used car. each month, he is able to save $5 more than the previous month. after how many months will desmond first have enough money to purchase a $3,000 used car? 14 21 31 35
Answer:
After 31 months, Desmond first have enough money to purchase a used car.
Step-by-step explanation:
Since we have given that
Saving per month for a used car = $25
Each month he is able to save = $5 more than the previous month
If we have $3000 to purchase a used car.
So, we need to find the number of months Desmond to have enough money.
Our sequence will be
25,30,35,..............3000
So, it becomes,
Months can't be negative, So,
n = 31 months.
Hence, After 31 months, Desmond first have enough money to purchase a used car.
Answer:
C. 31
Step-by-step explanation:
28. Daniel uses 18 pints of water to fill 8 bottles. He
pours the same amount of water into each bottle.
How many pints of water does he pour into cach
bottle?
A. 8/12
*
B. 2 2/8
C. 8/26
D. 2 4/8
Answer:
b
Step-by-step explanation:
to find the answer to this you sould divide the amount of pints by the number of bottles
18/8
which is also 2 2/8
so the answer is b
0
1
2
3
7
8
9
10
4 5
+
6
+
+
Which of the following could be the number shown on the number line?
O A. √24
B. 27
C. 20
O D. 26
Answer:
A
Step-by-step explanation:
because the point number are segment
2 people can plough a field in 5 hours how long would it take 3 people?
Answer:
7 hours and 30 minutes
Step-by-step explanation:
because if you divide the 5 hours by the 2 people you get 2 hours and 30 minutes so if you add one more person you are basically adding 2 hours and 30 minutes so if u add that 2 hours and 30 minutes to the 5 hours you will get 7 hours and 30 minutes
a. Does the height of the water increase by the same
amount each minute? Explain how you know.
minutes
height
0
150
SO
1
150.5
2
151
b. Does the height of the water increase by the same
factor each minute? Explain how you know.
3
151.5
From the table we can conclude that after 2 minutes the height of the water is increased by 4.
Example: In minute 2 it was 8 inches, in minute 4 it was 12 inches. (12-8=4)
This means that if the height of the water is increased by 4 inches for 2 minutes, then for 1 minute is increased 4/2=2 inches.
The following statement best describes how the slope relates to the height of the water in the pool:
The height of the water increases 2 inches per minute.
which is bigger -32 or 13.8?
I need help! Find the measure of all sides. Round to the nearest tenth.
Answer:
[tex]let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan(16.8) = \frac{2.7}{x} \\ x = \frac{2.7}{0.30 } \\ x = 9 \\ now \: by \: using \: pythagoras \: theorem \: \\ h = \sqrt{p {}^{2} } + b {}^{2} \\ h = \sqrt{ {2.7}^{2} } + {9 }^{2} \\ h = 9.396[/tex]
Work out the circumference of this circle.
Take to be 3.142 and write down all the digits given by your calculator,
13 cm
diameter= 13 cm
to find:the circumference of the given circle.
solution:[tex]c = \pi \: d[/tex]
[tex]c = 3.142 \times \: d[/tex]
[tex]c = 3.142 \times 13[/tex]
[tex]c = 40.846 \: cm[/tex]
hence, the circumference of the given circle is 40.846 cm
First, we'll have to change the diameter to radius by dividing the diameter by 2.
[tex]\large\boxed{Formula: r= \frac{d}{2}}[/tex]
So we'll have to divide 13 by 2.
Substitute the values according to the formula.
[tex]r= \frac{13}{2}[/tex]
[tex]\bold{6.5 \: cm}[/tex]
Now, we can find the circumference.
[tex]\large\boxed{C= 2\pi{r}}[/tex]
Substitute the values according to the formula.
[tex]C= 2\times\pi\times6.5[/tex]
Calculate value:
[tex]\large\boxed{C= 40.8407045 \: cm}[/tex]
Therefore, the circumference of the given circle is 40.8407045 centimeters.
Q. What is the equation of this line?
A: x=5
B: y=5x
C: x=-5
D: y=5
Answer:
A) x=5
The sideways line is always x, and the line going up is y, so since the line is only touching the x-intercept you just count where the line is, so x=5
Step-by-step explanation:
Line segment xy is tangent to circle z at point u. circle z is shown. line segment u v is a secant. line segment x y is a tangent and intersects the circle at point u. the measure of arc u v is 84 degrees. if the measure of arc u v is 84°, what is the measure of angle y u v? 42° 84° 96° 168°
Based on the calculations, the measure of angle YUV is equal to 42°.
What is a line segment?A line segment refers to a part of a line that is bounded by two (2) distinct points and it has a fixed length.
Based on the information given, we can deduce the following:
O is center of circle (∠YUO = 90°)The measure of arc UV is 84° (∠UOV = 84°)OU is equal to OV and equal to radius (∠OVU = ∠OUV)From triangle UOV, we have:
∠OUV + ∠OUV + ∠UOV = 180°
2OUV + 84 = 180
2OUV = 180 - 84
2OUV = 96
OUV = 96/2
OUV = 48°
Now, we can determine the measure of angle YUV:
∠YUV = ∠YUO - ∠OUV
∠YUV = 90 - 48
∠YUV = 42°.
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Answer:
42
Step-by-step explanation:
What is a diameter and what is a radius?
Radius is the length of the line segment from the center of the circle to an endpoint on the circle and diameter is twice the length of the radius of the circle.
PLEASE HELP!!!!!!!!!!!!!
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This dot plot shows the number of runs scored by the Yellow
Jackets in their last 12 baseball games.
I'm a bit stuck, I need help
Let's consider all the trig identities, to help us with the problem:
⇒ (look at the attached image for help with that)
After looking at all the trig identity, let's look at the problem given to us:
⇒ cos(θ) = [tex]\frac{5}{13}[/tex]
⇒ we know that sec(θ) = 1 / cos(θ) = 1 / (5/13) = 13/5
Thus: sec(θ) = 13/5, which just so happens to be Choice (D)
Answer: sec(θ) = 13/5 or Choice (D)
Hope that helps!
Determine the justification for the steps from the derivation of the quadratic formula. justification of step a: justification of step b:
The justification of step a is common denominator and the justification of step b is multiplication property of equality
How to determine the justifications?The equation is given as:
[tex]a(x + \frac{b}{2a})^2 = -c + \frac{b^2}{4a}[/tex]
Take the LCM
This gives
[tex]a(x + \frac{b}{2a})^2 = \frac{-4ac + b^2}{4a}[/tex]
The above represents a common denominator.
Multiply both sides by 4a
[tex]4a^2(x + \frac{b}{2a})^2 = -4ac + b^2[/tex]
The above represents the multiplication property
Hence, the justifications are common denominator and multiplication property of equality
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Step A: common denominator
Step B: multiplication property of equality
Question 1 of 10
List all the factors of 34 from least to greatest. Enter your answer below,
using a comma to separate each factor.
Answer here
I
SUBMIT
Answer:
Hope the picture will help you.....................
1. Find the synonym in this sentence that hints at the meaning of the underlined word:
Nelly was astounded-the party was a complete surprise.
surprise
party
complete
Nelly
Answer:
Step-by-step explanation:
Surprise! It is the closest to the noun " astounded "
Answer:
surprise
Step-by-step explanation:
