Answer:
x = 90
Step-by-step explanation:
If the line is straight.
Angles on a straight line add up to 180
2x = 180
x = 90
The students in Herman's grade voted to select a guest speaker. 435 students voted for a famous athlete. The other 65 students in Herman's grade voted for a famous actor. What percentage of the students voted for the athlete?
Answer:
87%
Step-by-step explanation:
435 students who voted for athlete 87
___________________________ = ____ or 87%
500 total students 100
The center of mass is defined as a point on the straight line between two objects with masses m and m₂ coordinates of the center of mass? m₂ = (X2Y₂) 4 m₁ = (x₁, y₁) OA L₂ center of mass m₂x₁ + m₂x₂ m₂y₁ + m₂Y/₂ 2(m, + m₂) 2(m, + m₂) B. (m₂(x₁ + x₂) M₂ (Y₁+Y/₂) 2(m, + m₂) 2(m, + m₂) OCM₂X₁ + M₁X₂ M₂Y₁ + M₁Y₂ m₂ + m₂ m₂ + m₂ D. m₂x₁ + m₂x₂ m₂v₁ + M₂Y/₂ m₁ + m₂ m₁ + m₂ 4, m₂ = such that 4₂ m₂ What are the
Answer:
D
Step-by-step explanation:
As is often the case with multiple choice questions, a simple check of the reasonableness of the answers will identify the correct one.
Here, the key is that the center of mass will be at the non-zero mass if one of them is zero. Assuming m2 = 0, the center of mass will have coordinates (x1, y1).
Checking the offered expressions when m2=0, we have ...
A. (m1x1/(2m1), m1y1/(2m1)) = (x1/2, y1/2) ≠ (x1, y1)
B. (m1(x1 +x2)/(2m1), 0) = ((x1+x2)/2, 0) ≠ (x1, y1)
C. (m1x2/m1, m1y2/m1) = (x2, y2) ≠ (x1, y1)
D. (m1x1/m1, m1y1/m1) = (x1, y1) . . . . . the answer we're looking for
find the area of a circle with a radius of 10 centimeters. use 3.14 for pie
Answer:
Formula for area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]
10 squared is 100cm. 100cm*3.14 equals 314cm.
The area of the circle is [tex]314cm^{2}[/tex]
What is the square root of -2i?
Answer:
1-i and -1+i
Step-by-step explanation:
We are to find the square roots of [tex]z=0-2i[/tex]. First, convert from Cartesian to polar form:
[tex]r=\sqrt{a^2+b^2}\\r=\sqrt{0^2+(-2)^2}\\r=\sqrt{0+4}\\r=\sqrt{4}\\r=2[/tex]
[tex]\theta=tan^{-1}(\frac{b}{a})\\ \theta=tan^{-1}(\frac{-2}{0})\\\theta=\frac{3\pi}{2}[/tex]
[tex]z=2(\cos\frac{3\pi}{2}+i\sin\frac{3\pi}{2})[/tex]
Next, use the formula [tex]\displaystyle \sqrt[n]{r}\biggr[\cis\biggr(\frac{\theta+2\pi k}{n}\biggr)\biggr][/tex] where [tex]\displaystyle k=0,1,2,...\:,n-1[/tex] to find the square roots:
When k=1
[tex]\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(1)}{2}\biggr)\biggr][/tex]
[tex]\displaystyle \sqrt{2}\biggr[cis\biggr(\frac{3\pi}{4}+\pi\biggr)\biggr][/tex]
[tex]\sqrt{2}\biggr(cis\frac{7\pi}{4}\biggr)[/tex]
[tex]\sqrt{2}(\cos\frac{7\pi}{4}+i\sin\frac{7\pi}{4})\\ \\\sqrt{2}(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i)\\ \\1-i[/tex]
When k=0
[tex]\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(0)}{2}\biggr)\biggr][/tex]
[tex]\sqrt{2}\biggr(cis\frac{3\pi}{4}\biggr)[/tex]
[tex]\sqrt{2}(\cos\frac{3\pi}{4}+i\sin\frac{3\pi}{4})\\ \\\sqrt{2}(-\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}i)\\ \\-1+i[/tex]
Thus, the square roots of -2i are 1-i and -1+i
What if there were only 200 days in a year? How many people would need to be in a room before the probability that two people shared a birthday exceeded 50%?
According to the calculation, 301 people would be needed a room for the probability that two people shared a birthday to be higher than 50%.
ProbabilityTo determine, if there were only 200 days in a year, how many people would need to be in a room before the probability that two people shared a birthday exceeded 50%, the following calculation must be performed:
200 days / 200 people = 200 / 200 = 1300 / 200 = 1.5301 / 200 = 1,505Therefore, 301 people would be needed a room for the probability that two people shared a birthday to be higher than 50%.
Learn more about probability in https://brainly.com/question/27272615
Solve for w.
W/4 = 4 What does W equal?
Answer:
16
Step-by-step explanation:
sooo all you have to do is make W alone. to do that you multiply 4 to both sides of the equation
W = 4(4)
w = 16
PLEASE HELP< sorry for all the questions im asking i just dont want to confuse anyone with a bunch of pictures...
Can the sides of a triangle have lengths 7, 15, and 18?
Answer:
Yes it can!
Step-by-step explanation:
The 2 shortest sides how to be bigger than the longest sides when combined
7 + 15 = 22 and 22 is bigger than 18. So yes you can make a triangle with those side lengths.
Answer:
Step-by-step explanation:
If this is a right angle triangle then no, it is impossible since this set of lengths is NOT a pythagorean triple.
If this is a non-right angle triangle then yes.
Joshua started working on his Math project at 4:25 p.m. He finished by 5:25 p.m. How many minutes did he work on his project?
A. 80 minutes
B. 70 minutes
C. 60minutes
D. 50 minutes
30. Pis does her workout for 50 minutes every day. Today, she started at 6:30 m. At what time will she finish?
A. 7:15 a.m.
B. 7:20 a.m.
C. 7:30 a.m.
D. 7:35 a.m
31. Find the circumference of a circular lot whose diameter is 9 m.
A. 25.26 m
B. 27.26 m
C. 28,26 m
D. 30.26 m
32. Find the circumstance of a circular whose radius is 30m.
A. 188.40 m
B. 188.30m
C. 188.20 m
D. 188m
Hi pls help me with an explanation as well pls, I’ll reward branliest answr
Answers:
blank 1 = 20blank 2 = 5.7blank 3 = 57============================================================
Explanation:
The perimeter p refers to the perimeter of the base polygon. We have five equal sides of 4 inches each, which therefore leads to a perimeter of p = 5s = 5*4 = 20
The perimeter is 20 inches.
This is the answer for blank 1.
This is the amount of fencing needed to enclose the pentagonal base.
-------------------------------
The l, aka lowercase L, is the slant height. It refers to the distance from the midpoint of any side of the base to the peak of the pyramid.
The diagram shows the slant height is 5.7 inches which is the answer for blank 2.
-------------------------------
LA = lateral surface area
The lateral area is the area of everything except for the base polygon.
Each triangle has a base of 4 inches and height 5.7 inches.
Each triangle has an area of base*height/2 = 4*5.7/2 = 11.4 square inches.
Five such identical copies yields a total LA of 5*11.4 = 57 square inches which is the answer for blank 3.
For each blank, you'll only enter the number itself of course.
The 2.8 in the diagram is never used. It's only useful if you needed to find the volume.
Help asap I don’t know what I’m doing
Answer:
you are right it is ^
Step-by-step explanation:
Answer:
It is your answer
Step-by-step explanation:
Your welcome.
Please help fast! I have a 10 minutes :(
Maybe 11x? i dont really know, thats all the info we get
Helppp plssssss!!!!!!
the diameter of a circle is 16, and its center is located at (-2,-6) what is the equation of the circle?
(x+2)² + (y+6)² = 64
Given:
centre : (-2,-6)diameter : 16radius : 8=============
Formula's:
(x-h)² + (y-k)² = r²centre : (h, k)radius : r===========
equation:
( x - (-2))² + (y-(-6))² = 8²(x+2)² + (y+6)² = 64When a sphere has a volume of 7235.56, what is the radius of the sphere? Round to the nearest tenth. Use 3.14 for π.
Answer:
V = (4/3)πr3 ≅ (4/3)(3.14)(3 in)3 ≅ 113.0 in3
Step-by-step explanation:
For circle h, jn = 5, nk = 4, ln = 2, and nm = x. solve for x. circle h with chords jk and lm intersecting at n inside the circle 10 2.5 1.6 7
The value of x for the circle h with chords jk and lm intersecting at n inside the circle is 10.
What is interseting chord theorem?The interseting chord theorem states that, when two chords in a circle intersect each other, then the product of their segment is equal.
For circle h in the given problem,
[tex]JN = 5, \\NK= 4, \\LN =2[/tex],
The value of segment NM is x. The figure of the circle h is attached below. In this figure, using the interseting chord theorem the chords can be given as,
LN×NM=JN×NK
2×x=5×4
x=20/2
x=10
Thus, the value of x for the circle h with chords jk and lm intersecting at n inside the circle is 10.
Learn more about the interseting chord theorem here;
https://brainly.com/question/5432495
please help me......asap
Answer:
Survey all families from a smaller town.
Step-by-step explanation:
It would be more easier to survey families in a small town
write each ratio in the simplest form 35 to 105
Answer: 35:105=1:3
Hope this helps! Have a good day !!! :)
In a square, the diagonals...
a. bisect the angles
b. are perpendicular
c. are congruent
d. all of the above
Answer:
all the above.
your welcome
12,-24, 48, -96,
determine the next term for each sequence
Opposite of 3 less than 10
Answer:
-13
Step-by-step explanation:
Answer:
-13
Step-by-step explanation:
Becuase 13's opposite is -13.
(If you still dont understand you can search up negative and positive number lines up to 20!)
can someone please help me out with these three questions please please please!!!!
Answer: 4. A 5. C 6. D
Step-by-step explanation: that’s it!!!!!!!!!!
Which of the following is biased?
a) the probability pulling a red marble from a bag with 10 red marbles 18 blue marbles and 6 green marbles
b) the probably of rolling a five on a
single die
c) the probability of drawing and ace from a standard deck of cards
d) the probability of getting heads from flipping a coin
Answer:
D
Step-by-step explanation:
Got it right on edge 2022
ASAP Pllease Giving 20 points
Answer:
20, 22 and 24
Step-by-step explanation:
18 / 3/4
18 x (4/3)
18 x 1.3333
23.9
≅ 24
So if its ≅ 24, it means the answer is 24 and below. Therefore the three answers are 20, 22 and 24.
Find the area of the figure. Round your answer to nearest tenth. Use the 7t button on your calculator.
14.Scm
688.1 cm?
46,5 cm?
b
Ос
219,0 cm
693.0 cm?
в е авт
A
Answer:
688.1 cm
Step-by-step explanation:
Area of circle = (π)r^2
Area= π × 14.8^2
Area = 688.1 cm^2 (to the nearest tenth)
-
Harley is 8 years younger than India.
Jessica is three times older than Harley.
The sum of the three ages is 88.
Write the ratio of Jessica's age to India's age.
Using a system of equations, it is found that the ratio of Jessica's age to India's age is of 2.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Harley's age.Variable y: India's age.Variable z: Jessica's age.Harley is 8 years younger than India, hence:
x = y - 8.
Jessica is three times older than Harley, hence:
z = 3x.
The sum of the three ages is 88, hence:
x + y + z = 88.
x + x + 8 + 3x = 88
5x = 80
x = 16.
Hence:
y = x + 8 = 24.
z = 3x = 48
The ratio of Jessica's age to India's age is given by:
z/y = 48/24 = 2.
More can be learned about a system of equations at https://brainly.com/question/24342899
what is the area of a rectangle that has a length of 4.5 centimeters and width of 3.25 centimeters? use the formula A=l*w
Given the values for the length and width of the rectangle, area of the rectangle is 16.625 square centimeter.
What is a Rectangle?A rectangle simply a is a 2-dimentional shape in geometry with 2 equal opposite sides and 4 corners each at 90 degrees.
The area of a rectangle is;
A = Length × Width
A = L × W
Given the data in the question;
Length of the rectangle L = 4.5cmWidth of the rectangle W = 3.25cmArea A = ?To determine the area of the retcangle, we substitute our given values into the expression above.
A = L × W
A = 4.5cm × 3.25cm
A = 16.625cm²
Therefore, the area of the rectangle with the given length and width is 16.625cm².
Learn more about area of rectangle here: https://brainly.com/question/12019874
One day, a person went to a horse racing area. Instead of counting the number of humans and horses, he counted 74 heads and 196 legs. How many humans and horses were there?
A. 37 humans and 98 horses
B. 24 horses and 50 humans
C. 31 horses and 74 humans
D. 24 humans and 50 horses
Answer:
the answer is a
Step-by-step explanation:
Answer:
B. 24 horses and 50 humans
Step-by-step explanation:
74 x 2 = 148
196 - 148 = 48
48/2 = 24 (number of horses)
74 heads - 24 horses = 50 humans
Simplify each radical expression. Use absolute value symbols when needed. (13 is the question number)
[tex]\sqrt{\cfrac{9x^4}{36}}\implies \sqrt{\cfrac{3^2 (x^2)^2}{6^2}}\implies \sqrt{\cfrac{(3x^2)^2}{6^2}}\implies \sqrt{\left( \cfrac{3x^2}{6} \right)^2}\implies \cfrac{3x^2}{6}\implies \cfrac{x^2}{2}[/tex]
Tito drives his car and covered a distance of 225 kilometers in 7.5 hours. What is the average in kilometers per hour?
A. 30 kph
B. 225 kph
C. 232.5 kph
D. 7.5
Step-by-step explanation:
I hope u are asking for average speed
average speed = total distance/total time
= 225/7.5
= 30 km/h or 30 km per hour
Answer:
As Per Provided Information
Distance covered by his car 225 KmTime taken by his car 7.5 hoursWe have to determine the average speed of his car in kilometres per hour .
Using Formulae
[tex] \boxed {\bf \: Average\: Speed \: = \cfrac{Total \: Distance \: Covered}{ Total \: Time \: Taken }}[/tex]
On substituting the value we get
[tex]\sf \qquad \: \longrightarrow\: Average\: Speed \: = \cfrac{225}{7.5} \\ \\ \\ \sf \qquad \: \longrightarrow\: Average\: Speed = \cancel \cfrac{225}{7.5} \\ \\ \\ \sf \qquad \: \longrightarrow\: Average\: Speed = 30km {h}^{ - 1} [/tex]
Therefore,
Average speed of his car is 30 km/h .So your answer is A) 30 kph .