Eighth grade > V.4 Area and circumference of circles CHV
The circumference of a circle is 43.332 miles. What is the circle's diameter?
Use 3.14 for .
Answer: [tex]D=13.8[/tex]
Step-by-step explanation:
To fing the diameter of a circle when given the circumfrence we use the formula of
[tex]D=\frac{c}{\pi }[/tex]
[tex]D= \frac{43.332}{3.14}[/tex]
[tex]D=13.8[/tex]
50 POINTS PLEASE ANSWER
Take 2 coordinates
(1,0)(8,6)Slope'-
m=6/8-1m=6/7Equation in point slope form
y-0=6/7(x-1)7y=6x-6y=6/7x-6/7Answer:
[tex]y=\dfrac67x-\dfrac67[/tex]
Step-by-step explanation:
From inspection of the graph, we have been given two points on the line:
[tex]\textsf{let}\:(x_1,y_1)=(1,0)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(8,6)[/tex]
Therefore:
[tex]\textsf{slope}\:(m)=\dfrac{6-0}{8-1}=\dfrac67[/tex]
Point-slope form of linear equation: [tex]y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
Substituting the values of m and (x₁, y₁):
[tex]\implies y-0=\dfrac67(x-1)[/tex]
[tex]\implies y=\dfrac67x-\dfrac67[/tex]
Therefore, the equation of the line in slope-intercept form is:
[tex]y=\dfrac67x-\dfrac67[/tex]
The fifth grade students participating in the math competition will be evenly divided into teams of 3 students each. How many students could be participating?
25
21
23
26
Answer:
21
Step-by-step explanation:
We know that the total number of students has to be divisible by 3. So to solve this specific problem, you can either use a guess and check system, prior knowledge, or by using a factoring method.
If we try to divide all four answer choices evenly by 3, only 21 leaves us with a whole number. Therefore, there could be 21 students participating.
25/3 = 8.33
21/3 = 7
23/3 = 7.667
26/3 = 8.667
-
Solve the system of equations – 2z – 2y = -24 and 3z – 2y = -33 by
combining the equations.
-
( 2z -2y =-24)
– 32 -2y =-33)
-
-
-22 -2y = -24
-32 -2y -33
0 - 0 Y=
You must answer all questions above in order to submit.
P
Answer:
z = -1.8, y = 10.2
Step-by-step explanation:
- 2z -2y = -24 (EQ 1)
3z - 2y = -33 (EQ 2)
Change one of the equations to it's opposite (Turning a negative number to a positive/or the other way around)
Let's target the equation that can leave us with the simplest question to solve
-2z + -2y = -24
-3z + 2y = 33
-5z = 9
(Dividing and switching the negative sign over)
z = -1.8
Plug in Z to solve for y.
-2(-1.8) - 2y = -24
3.6 - 2y = -24
-2y = -20.4
y = 10.4
Find the solution of the system of equations.
x-y=-3
-8x+y=45
Answer:
x = 17, y = 28
Step-by-step explanation:
1. Isolate for x in "x - y = -3, -8":
x - y+y = -3, -8+y
x = -11 + y
2. Substitute "x = -11 + y" in for x in the second expression:
-11 + y + y = 45
3. Simplify:
-11 + 2y = 45
4. Isolate y:
-11+11 +2y = 45+11
2y = 56
[tex]\frac{2y}{2} = \frac{56}{2}[/tex]
y = 28
5. Substitute the new y-value into the first equation:
x = -11 + 28
x = 17
hope this helps!
please help. I don't understand
On the opening day, a restaurant offers free drinks and desserts to all the customers. A customer can choose from apple juice, orange juice, grape juice, and cranberry juice. He can choose from ice cream, cake, and pudding as desserts. How many different juice-dessert combinations are possible?
15
24
12
7
Answer: 12
Step-by-step explanation:
Juice 4 multiplied by Dessert 3
PLS HELP ITS ONLY ONE QUESTION
Directions: use your knowledge of the Cartesian Coordinate System to answer the following questions.
How are the four sections marked?
Answer:
Four sections (or called quadrants)are marked in Roman numerals I, II, III, IV
Hope it helps.
PLEASE HELP. 85 POINTS AND WILL CHOOSE BRAINIEST FOR THE FIRST CORRECT ANSWER!!!!
You randomly survey students in your school about the color of their eyes. The results are shown in the tables.
What percent of students in the survey are either female or have green eyes?
About % are either female or have green eyes.
What percent of students in the survey are males who do not have green eyes? About % are males who do not have green eyes.
Find the sum of these two percentages. The sum of these two percents is %.
Answer:
% of students who are female or have green eyes: 51% or 45/88
% of students who are males without green eyes: 49% or 43/88
The sum of these two percentages: 100%
Step-by-step explanation:
Since there were 48 men surveyed and 40 women there were 88 students surveyed in total.
For the first part:
Since the students had to either be female, 40 students, or have green eyes, 5 male students, there would be a total or 45 students who were either female or had green eyes. Or 45/88 = 51%
For the second part:
Since the students had to be male and NOT have green eyes... take the total number of male students, 48 students, and subtract those with green eyes, 5 students, to get a total of 43 male students without green eyes. Or 43/88 = 49%
A rectangular painting has a length of 24 inches and a width of 7 inches. What is the length of the diagonal of the painting in inches? Enter your answer in the box.
Answer: 25 inches
Step-by-step explanation:
24² + 7² = 625
Square root of 625 = 25
Jose's mom gave him
$
40
for cutting their grass. He used the money to buy a
$
10. 75
game and two snacks that cost
$
3. 25
each. Joe also bought a bouquet of flowers for his mom. If Joe went home with
1
4
of the money his mom gave him, how much did the flowers cost?
Which of the following expressions can be used to calculate the perimeter of a square with side length 5 inches?
Answer:
...............................................................................................5x4
expand the following expression. 13/4 (2x + 3/4)
Hey there!
13/4(2x + 3/4)
= 13/4(2x) + 13/4(2x)
= 13/2x + 39/16
≈ 6 1/2x + 2 7/16
Therefore, your answer is:
13/2x + 39/16
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Divide.
3
24yºx - 20yx?
52
5
- 3y x²
Simplify your answer as much as possible.
Answer:
(24y^3x-20y^5x^2)/(-3y^5x^2)
= y^3x(24-20y^2x))/(-3y^5x^2)
=(24-20y^2x)/(-3y^2x)
=(24/(-3y^2x))-((20y^2x)/(-3y^2x))
=(-8/y^2x)-(-20/3)
=-8/y^2x + 20/3
how would i find the volume
If one end of a line segment is (4, 4) and midpoint is (-2,2), find the co-ordinates of the other end.
Answer:
-8,0
Step-by-step explanation:
From one end of a segment to the midpoint, it takes -6x to get to the midpoint. Based on that, you can go another 6 over the y graph and get -8 for x.
For y, the segment goes from 4 to 2 (a -2 over the x graph). you can infer then that the other end will be 0.
What is the area of the trapezoid?
WILL MARK BRAINLYEST
Answer:
126 in^2
Step-by-step explanation:
A=[tex]\frac{a+b}{2} h=\frac{8+20}{2}(9)=126[/tex]
I need help please and thank you
My method is a little bit different, but I hope it helps..
Total angle=103°+103°=206°
Total area=π×17×17=289π≈368.1
Area of shaded region=(206/360)×368.1
=210.6 sq. meter
equivalent expression to −5.55−8.55c+4.35c
Find the value of x to the nearest tenth.
Answer:
x ≈ 16.2
Step-by-step explanation:
tan56° = [tex]\frac{24}{x}[/tex] ( multiply both sides by x )
x × tan56° = 24 ( divide both sides by tan56° )
x = [tex]\frac{24}{tan56}[/tex] ≈ 16.2 ( to the nearest tenth )
What is the completely factored form of p4 – 16? (p – 2)(p – 2)(p 2)(p 2) (p – 2)(p – 2)(p – 2)(p – 2) (p minus 2) (p 2) (p squared 2 p 4) (p minus 2) (p 2) (p squared 4)
The completely factored form of the provided polynomial is (p -2) (p+ 2) (p² +4). The option 4 is the correct option.
What is polynomial?Polynomial equations is the expression in which the highest power of the unknown variable is n (n is a real number).
The polynomial equation given in the problem is,
[tex]p^4 - 16[/tex]
Let the factor form of the polynomial is f(p). Thus,
[tex]f(p)=p^4 - 16\\f(p)=p^4 - 2^4\\f(p)=(p^2)^2- (2^2)^2[/tex]
Using the formula of difference of squares, we get,
[tex]f(p)=(p^2-4)(p^2+4)\\f(p)=(p^2-2^2)(p^2+4)\\f(p)=(p-2)(p+2)(p^2+4)[/tex]
Thus, the completely factored form of the provided polynomial is (p -2) (p+ 2) (p² +4). The option 4 is the correct option.
Learn more about polynomial here;
https://brainly.com/question/24380382
Answer:
D Edge 2022
Step-by-step explanation:
Please help me with this math problem!! Will give brainliest if correct!! :)
Step-by-step explanation:
a.
[tex]y = |x - 1| + 2[/tex]
b.
[tex] - x + 3 \: \: \: \: \: \: \: \: \: \: \: \: x \leqslant 1 \\ \\ x + 1\: \: \: \: \: \: \: \: \: \: \: \:x > 1[/tex]
A hurricane wiped out 40% of the wild rats in a coastal city. Then, a disease spread through stagnant water killing 20% of the rats that survived the hurricane. What percentage of the original population of rats is left after these 2 events
After the hurricane and the disease, 48% of the original population of rats is left.
We have,
After the hurricane, 40% of the rats were wiped out, which means
100% - 40% = 60% of the rats survived.
Then, after the disease spread through stagnant water, 20% of the remaining rats were killed.
This means 100% - 20% = 80% of the rats that survived the hurricane are still left.
To find the percentage of the original population of rats that is left after both events, we multiply the percentages:
Percentage left = 60% * 80% = 0.6 * 0.8 = 0.48
Finally, we convert the decimal value back to a percentage:
Percentage left = 0.48 * 100% = 48%
Therefore,
After the hurricane and the disease, 48% of the original population of rats is left.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ4
Which point is located at - 1/6
Answer:
Point C
Step-by-step explanation:
it is negative, so we can already eliminate points A and B so which leaves us with C and D. It is a fraction that is greater than -1 so that eliminates point D, so the remaining point is our final answer.
Answer:
Point C
Step-by-step explanation:
Step 1: What point is located at -1/6
We can see that the arrow pointing up showcases us going positive and the arrow pointing down showcases us going negative. 0 gives us the middle point between negatives and positives. We can see that there are 6 ticks between each whole number. Therefore, if we go 1/6 of a tick down in the negative direction we would get point C.
Answer: Point C
Simplify the following expression
(x^0 y^2/3 z^-2)^3/2 divided by (x^2z^1/2)^-6
[tex]\dfrac{\left(x^0 y^{\tfrac 23} z^{-2} \right)^{\tfrac 32}}{\left(x^2 z^{\tfrac 12} \right)^{-6}}\\\\\\=\dfrac{1\cdot \left( y^{\tfrac 23}\right)^{\tfrac 32} \cdot \left(z^{-2} \right)^{\tfrac 32}}{\left(x^2 \right)^{-6} \cdot \left( z^{\tfrac 12} \right)^{-6}}~~~~~~~~~~~~~~~~~~;\left[(ab)^m = a^m b^m\right]\\\\\\=\dfrac{y^{1} \cdot z^{-3}}{x^{-12} \cdot z^{-3}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[(a^m)^n = a^{mn}\right]\\\\\\=\dfrac{y}{x^{-12}}\\\\\\[/tex]
[tex]=\dfrac{y}{\tfrac 1{x^{12}}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[a^{-m} = \dfrac 1{a^m} } \right]\\\\\\=yx^{12}[/tex]
I can’t find the answer
Answer:
Choose one
Step-by-step explanation:
What is the lateral area of the cone
I answered 2. Am I right?
Answer:
Yes, I agree, the score of 2 was an outlier, outside of what is close to everyone else's score
Step-by-step explanation:
need help with question 7
Answer:
D. 7/8
Step-by-step explanation:
Answer:
D. 7/8. (has to be twenty characters long so here are some words )
What is the value of x?
Answer:
x = 21
Step-by-step explanation:
We can first notice that this is a right triangle. Meaning that we can apply the pythagorean theorem when finding the missing side.
Pythagorean Theorem : a^2+b^2=c^2
But, we already have the hypotenuse, so we have to solve for the side being "b". a and b being the sides next to the right angle. And c being the hypotenuse. Plug in the values.
20^2 + b^2 = 29^2
400 + b^2 = 841
Subtract 400 from both sides to get b^2 alone
-400 -400
b^2 = 441
Square root of each side to get b by itself
b = 21
This means the missing side is 21. Also meaning 21 is x.
x = 21