A sector with a central angle measure of 200 degrees has a radius of 9 cm. What is the area of the sector?
Answer:
[tex]\boxed{Area\ of\ sector = 141.4\ cm^2}[/tex]
Step-by-step explanation:
Radius = r = 9 cm
Angle = θ = 200° = 3.5 radians
Now,
[tex]Area \ of \ sector = \frac{1}{2} r^2 \theta[/tex]
Area = 1/2 (9)²(3.5)
Area = 1/2 (81)(3.5)
Area = 282.7 / 2
Area of sector = 141.4 cm²
Answer:
45 pi cm^2 or 141.3 cm^2
Step-by-step explanation:
First find the area of the circle
A = pi r^2
A = pi (9)^2
A = 81 pi
A circle has 360 degrees
The shaded part has 200
The fraction that is shaded is
200/360 =5/9
Multiply by the total area
5/9 * 81 pi
45 pi
Using 3.14 for pi
141.3
45 pi cm^2 or 141.3 cm^2
A 5.5-foot woman casts a shadow that is 3 feet longer than her son's shadow. The son casts a shadow 13.5 feet long.
Height of son =______
Woman
Height (ft)_______
Lenght of shadow (ft)_______
Son
Height (ft)_______
Lenght of shadow (ft)_______
Answer: 19!!
Step-by-step explanation:
The floor of a room is 8m 96cm long and 6m 72cm broad. Find the maximum dimension of a square tile
of the same size needed to cover the entire floor.
A triangle has side lengths of 13, 9, and 5. Is the triangle a right triangle? Explain.
Use complete sentences in your explanation.
Hint: Pythagorean Theorem: a^2+ b^2 = c^2
Answer:
see below
Step-by-step explanation:
Using the Pythagorean Theorem:
a^2+ b^2 = c^2
5^2+ 9^2 = 13^2
25+81 = 169
106 = 169
This is not true so it is not a right triangle
Answer:
[tex]\boxed{\sf Not \ a \ right \ triangle}[/tex]
Step-by-step explanation:
Apply Pythagorean theorem to check if the triangle is a right triangle.
[tex]a^2+ b^2 = c^2[/tex]
[tex]5^2+ 9^2 = 13^2[/tex]
[tex]25+81=169[/tex]
[tex]106=109[/tex]
False statement.
The triangle is not a right triangle.
Tamara was asked to write an example of a linear functional relationship. She wrote this example: My babysitting service charges an initial $5.00 fee plus an additional $6.50 per hour. Complete the table below to show the babysitting rate for different numbers of total hours. Then write a linear equation in the form y=mx+b that represents this relationship where m is the slope and b is the y-intercept. Use the on-screen keyboard to type your answers in the boxes below. Total Hours 1 $
2 $
3 $
4 $
Answer:
Hours Charge
1 y = 6.5(1) + 5 = $11.5
2 y = 6.5(2) + 5 = $18
3 y = 6.5(3) + 5 = $24.5
4 y = 6.5(4) + 5 = $31
Step-by-step explanation:
In an equation y=mx+b, we can interpret the intercept b as the value of the initial charge and the slope m as the additional charge per hour. So, we can formulate the following equation:
y = 6.5x + 5
Where x is the hours and y are the charges for the babysitting, so, we can fill the table as:
Hours Charge
1 y = 6.5(1) + 5 = $11.5
2 y = 6.5(2) + 5 = $18
3 y = 6.5(3) + 5 = $24.5
4 y = 6.5(4) + 5 = $31
The answer should be like
Hours Charge
1 y = 6.5(1) + 5 = $11.5
2 y = 6.5(2) + 5 = $18
3 y = 6.5(3) + 5 = $24.5
4 y = 6.5(4) + 5 = $31
Calculation of the number of hours:Since we know that the equation should be in the form of
y = mx + b
So, here
y = 6.5x + 5
Here x is the hours and y are the charges for the babysitting.
So, the table be like
Hours Charge
1 y = 6.5(1) + 5 = $11.5
2 y = 6.5(2) + 5 = $18
3 y = 6.5(3) + 5 = $24.5
4 y = 6.5(4) + 5 = $31
Learn more about hours here: https://brainly.com/question/17091264
find the slope (7,1)(5,0)
Answer:
1/2x
Step-by-step explanation:
To find the slope of a line with only 2 points we use the following formula.
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex],
So we fill it in with the following points,
(7,1)
(5,0)
0 is y2 and 1 is y1 0-1 = -1
5-7 = -2
Slope: 1/2
Thus,
the slope of the line is 1/2.
Hope this helps :)
Translate to an equation and sole: The quotient of h and 26 is -52
Of 10 girls in a class, three have blue eyes. Two of the girls are chosen at random. Find the probability that: (a) both have blue eyes; (c) at least one has blue eyes; (b) neither has blue eyes; (d) exactly one has blue eyes.
Answer:
C.
Step-by-step explanation:
It's the most reasonable answer.
Question 3 (5 points)
POINT
-POINT A
POINT B
What are the coordinates of the point labeled B in the graph shown above?
A) (3, 2)
B) (-3,2)
OC) (-2,3)
D) (-2, -3)
Question 4 (5 points)
Answer:
(D) -2,-3
Step-by-step explanation:
From the origin, we can find the current position of point B by counting.
B is 2 to the left of the y-axis, meaning that it's x value is -2.
B is 3 down of the x-axis, making it's y value -3.
Therefore, the coordinates of point B are -2,-3.
Hope this helped!
Answer: (D) -2,-3
Step-by-step explanation:
Find the 5th term of the sequence defined by the give rule. f(n) = n²+ 5. A step by step explanation with answer would be greatly helpful.
Answer:
The 5th term is 30Step-by-step explanation:
Given the formula
f(n) = n² + 5
where n is the number of terms
So from the question we were told to find the 5th term that's
n = 5
In order to find the 5th term substitute the value of n that's 5 into the rule
We have
f(5) = 5² + 5
= 25 + 5
= 30
f(5) = 30So the 5th term of the sequence in the given rule is 30
Hope this helps you
Please answer this correctly without making mistakes
Answer:
1.2 miles
Step-by-step explanation:
5.3 - 4.1 = 1.2 miles
Answer:
1.2 milesStep-by-step explanation:
5.3 - 4.1 = 1.2
1.2 miles difference.
This is because from Washington to Lanberry it is 4.1 miles. From Washington to Newberry it is 5.3., SO, if you subtract it you will get 1.2 miles difference.
Hope this helped,
kavitha
What the answer now fast
Answer:
[tex]m < C = 60[/tex]
Step-by-step explanation:
From the given right angled triangle, ∆ABC,
[tex] BC = Hypotenuse = 2\sqrt{11} [/tex]
[tex] AC = Adjacent = \sqrt{11} [/tex]
Thus, m<C can be found by applying the following trigonometric ratio formula as shown below:
[tex] cos(C) = \frac{adjacent}{hypotenuse} [/tex]
[tex] cos(C) = \frac{\sqrt{11}}{2\sqrt{11}} [/tex]
Evaluate: √11 cancels √11
[tex] cos(C) = \frac{1}{2} [/tex]
[tex] cos(C) = 0.5 [/tex]
[tex] C = cos^{-1}(0.5) [/tex]
[tex] C = 60 [/tex]
[tex]m < C = 60[/tex]
Determine the value of X. 30 POINTS
you can use the value of sin\
sin(theta) = 12/16
Now solve for theta, and do inverse sine
so theta would be 48.59037789 , or around 50 degrees
Answer:
48.59°Step-by-step explanation:
Since, it is a right triangle.
Perpendicular (p) = 12
hypotenuse ( h) = 16
now,
[tex]sin \: (x \: degree) = \frac{perpendicular}{hypotenuse} [/tex]
[tex]sin \: x \: = \frac{12}{16} [/tex]
[tex] x = {sin}^{ - 1} ( \frac{12}{16} )[/tex]
[tex]x = 48.59 \: degree[/tex]
hope this helps...
good luck on your assignment..
ATV sports commentator claims that 40% of all baseball
injuries are knee injuries. Assuming that this claim is true,
what is the probability that in a game with 5 reported injuries:
(use calculator)
a. None are knee injuries?
b. All are knee injuries?
c. At least three are knee injuries?
d. No more than 2 are knee injuries?
A point P has coordinates (-5, 4). What are its new coordinates after reflecting
point Pover the y-axis?
A. (-5, -4)
B. (-5, 4)
C. (5, 4)
D. (5, -4)
Answer:
C(5, 4)
Step-by-step explanation:
The rule for a reflection over the y -axis is (x,y)→(−x,y) .
Answer:
(5, 4)
Step-by-step explanation:
when you reflect off the y-axis, you switch (x,y) to (-x,y)
So
(-5, 4) --> (5, 4)
Hope this helps,
Feel free to ask more questions if I need to explain more.
The minimum point on the graph of the equation y = f(x) is (-1, -3). What is the minimum point
on the graph of the equation y = f(x – 5)?
Answer:
(4, -3)
Step-by-step explanation:
the equation f(x-5) is a translation of the equation f(x) by 5 units to the right.
So, if all points of the equation f(x) are shifted 5 units to the right, the minimum point of the graph is also shifted 5 units to the right, so to find the minimum point of y = f(x - 5), we just need to sum 5 units to the x-coordinate:
Minimum point = (-1 + 5, -3) = (4, -3)
So the minimum point of y = f(x - 5) is (4, -3).
The minimum point on the graph of y = f(x - 5) is (-6,3)
On the graph of the equation y = f(x);
The minimum point is given as (-1,-3)
The graph of y = f(x - 5) means that, f(x) is shifted to the right by 5 units
So, the corresponding point of (x,y) of f(x) on the graph of f(x - 5) is:
[tex](x,y) \to (x - 5,y)[/tex]
This gives
[tex](-1,-3) \to (-1 - 5,3)[/tex]
Subtract 5 from -1
[tex](-1,-3) \to (-6,3)[/tex]
Hence, the minimum point on the graph of y = f(x - 5) is (-6,3)
Read more about translation at:
https://brainly.com/question/17721227
What is the range of the function f(x)=3/4|x|-3
Range is [tex]y\in[-3,+\infty)[/tex].
Hope this helps.
[PLEASE HELP] in the function above, the slope of it will be multiplied by -4, and it’s y value of the y intercept will be decreased by only 1 units, which of these following graphs best represent the new function???
Answer:
Z (The one on the bottom right)
Step-by-step explanation:
You said that the y intercept goes down by 1 unit which makes only W and Z possible.
The slope is 1/2 and if you multiply that by -4 the new slope is -2 which means the change in y is -2 every time the change in x is 1. Which perfectly fits Z and if you have any questions please ask me with the comments!
Which choice is equivalent to 4 square root 8
Answer:
A
Step-by-step explanation:
............................ ....
What is the image of the point by (-5,3) under a 270 rotation about the point (-7,-3)
Step-by-step explanation:
here, the given point is (-7,-3)
now, by the formula,
p(x,y)= p-1 (-y+a+b,x-a+b) ( p-1 is p das)
p(-5,3)= p-1 (-13,-1) is answer.
hope it helps..
Paul Revere had to travel 3.5 miles to Boston from Charlestown by boat. From Charlestown to Lexington he was able to ride a horse that traveled at a rate of 1/8 mile per minute. His total distance traveled y is the sum of the distance to Charlestown and the distance from Charlestown to Lexington. Write a linear equation that could be used to find the distance y Paul Revere traveled in x minutes
Answer:
y = 3.5 + (1/8)x
Step-by-step explanation:
Speed is the ratio of total distance traveled to the total time taken. It is given by the formula:
Speed = distance / time.
The distance Paul Revere traveled from Charlestown to Boston is 3.5 miles.
Paul Revere also traveled from Boston to Lexington by horse at a rate of 1/8 mile per minute. If he traveled for x minutes, the distance covered can be gotten by:
Speed = distance / time
1/8 = distance / x
distance = (1/8)x miles.
y = sum of the distance to Charlestown and the distance from Charlestown to Lexington
y = 3.5 + (1/8)x
Find the equation for the plane through the point Upper P 0equals(2 comma 5 comma 9 )and normal to the vector nequals5 Bold i plus 8 Bold j plus 2 Bold k.
Answer:
5x+8y+2z = 68
Step-by-step explanation:
Given the point P0 = (2, 5, 9), to Find an equation for a plane through that point and normal to the vector n = 5i+8j+2k the following steps must be followed:
The equation for the plane passing through the point is expressed as;
a(x-x0)+b(y-y0)+c(z-z0) = 0 where;
(x0, y0, z0) is the point on the plane and (a,b,c) is the normal vector n.
Given the point (2, 5, 9) and normal vector n =(5, 8, 2)
x0 = 2, y0 = 5, z0 = 9, a = 5, b = 8 and c= 2.
Substituting this values into the equation of the plane above will give;
5(x-2)+8(y-5)+2(z-9) = 0
On expansion:
5x-10+8y-40+2z-18 = 0
5x+8y+2z-10-40-18 = 0
5x+8y+2z-68 = 0
The required equation of the plane is 5x+8y+2z = 68
Before hosting their annual Chess Tournament and Spelling Bee, a school received 7 boxes of honorary medals: one medal for every participant. After the Chess Tournament, two boxes were empty and the rest were still closed. After the Spelling Bee, which had twice as many participants, there were 72 medals left. How many people competed in the Chess Tournament?
Answer:
144 people competed in the Chess Tournament
Step-by-step explanation:
So as you can see, after the Chess Tournament took place, two boxes were empty, the rest closed. That would mean that there were 2 boxes of medals that were given out to honor the participants in the chess tournament. The spelling bee had twice as many participants, and hence used 2 [tex]*[/tex] 2 = 4 boxes. The remaining box had to have 72 medals in it, as it was the remaining amount of medals.
After the Chess Tournament, 2 boxes were given out, and we can assume they contained 72 medals in them. Therefore, the number of medals given after the chess tournament would be 2 [tex]*[/tex] 71 = 144 medals. Each medal corresponds to a participant, so the number of chess tournament participants would also be 144, 144 participants.
Find the value of x.
Explanation:
For any quadrilateral that is inscribed in a circle, ie has all four points on the circle like this, the opposite angles are always supplementary. They add to 180 degrees.
x+125 = 180
x+125-125 = 180-125 ... subtract 125 from both sides
x = 55
A couch sells for $820. Instead of paying the total amount at the time of purchase, the same couch can be bought by paying $400 down and $60 per month for 12 months. How much is saved by paying the total amount at the time of purchase?
Answer:
$300
Step-by-step explanation:
The couch is sold in two ways; outright payment or installment payment.
Outright payment would cost = $820
Installment payment = down payment + monthly charges
Down payment = $400
Monthly charges for a period of one year (12 months) = 12 × $60
= $720
Installment payment would cost = $400 + $720
= $1120
Amount saved by paying total amount at the time of purchase = $1120 - $820
= $300
Thus, the outright buying the couch would save $300.
Two points on line p have
coordinates (2, 1) and (5, 3).
The slope of the line is?
A. 2
B. 3/2
C. 1
D. 2/3
E. 4
Answer:
D. 2/3Step-by-step explanation:
[tex](2, 1) (5, 3)\\x_1 =2 \\y_1 =1\\x_2=5\\y_2 =3\\m =\frac{y_2-y_1}{x_2-x_1} \\\\m = \frac{3-1}{5-2} \\\\m = 2/3[/tex]
6th grade math help me, please. :)
Answer: 120 ice creams total
The answer is option D
A family paid $28,500 as a down payment for a home. If this represents 15% of the price of the home, what is the price of the home.
Answer:
.15* house price = 28,500
house price = 28,500 / .15
house price = 190,000
Step-by-step explanation:
Answer: 190,000
Step-by-step explanation:
the equation looks like this - .15x=28,500. then you divide both sides by .15 and get x=190,000
he numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance, and standard deviation of the population data set. 2, 10, 15, 3, 13, 9, 14, 7, 2, 9 The range is nothing.
Answer:
Range = 13
Mean = 8.4
Variance= 21.24
Standard deviation= 4.61
Step-by-step explanation:
2, 10, 15, 3, 13, 9, 14, 7, 2, 9
For the range
Let the set of data be arranged inn ascending order
Range= higehest value- lowest value
Range = 15-2
Range= 13
For the mean
Mean = (2+2+3+7+9+9+10+13+14+15)/10
Mean = 84/10
Mean = 8.4
For variance
Variance=((2-8.4)²+(2-8.4)²+(3-8.4)²+(7-8.4)²+(9-8.4)²+(9-8.4)²+(10-8.4)²+(13-8.4)²+(14-8.4)²+(15-8.4)²)/10
Variance= (40.96+40.96+29.16+1.96+0.36+0.36+2.56+21.16+31.36+43.56)/10
Variance= 212.4/10
Variance= 21.24
Standard deviation= √variance
Standard deviation= √21.24
Standard deviation= 4.609
Approximately = 4.61
Whats the input value of f(x)=2x+5
Answer:
x
Step-by-step explanation:
f(x)=2x+5
Input: x
Output: f(x)
For i.e:
Input: 1
Output: f(1) = 2(1) + 5 = 2 + 5 = 7