The diameter of the new ball, to the nearest tenth of a centimeter, is 11.0cm
We have given that,
The surface area of a regulation spherical soccer ball is about 484π
square centimeters. If the diameter of the regulation ball is reduced by 50% to produce a new ball.
We have to determine,
The diameter of the new ball, to the nearest tenth of a centimeter.
What is the surface area of a spherical soccer ball?
The volume of a sphere = 4/3 × πr^3.
Therefore we get,
[tex]\frac{484}{50}= 11.0[/tex]
Therefore we get the diameter of the new ball, to the nearest tenth of a centimeter is 11.0cm.
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Lanna plotted 3 vertacies of a square on a coordinate plane witch are the coordinates of the missing vertext of lanas square
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the coordinates of the three vertices.
I will answer your question using the following illustration.
Assume that the square is ABCD are the given coordinates are:
[tex]A = (3,1)[/tex]
[tex]B = (-1,5)[/tex]
[tex]C = (-5,1)[/tex]
Required
Find D
Let the coordinates of D be:
[tex]D = (x,y)[/tex]
---------------------------------------------------------------------------------------------------------
Calculate the slope of each side.
AB, BC, CD and DA using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
AB:
[tex]A = (3,1)[/tex] -- [tex](x_1,y_1)[/tex]
[tex]B = (-1,5)[/tex] -- [tex](x_2,y_2)[/tex]
So:
[tex]m_1 = \frac{5 - 1}{-1 - 3} = \frac{4}{-4} = -1[/tex]
BC:
[tex]B = (-1,5)[/tex] -- [tex](x_1,y_1)[/tex]
[tex]C = (-5,1)[/tex] -- [tex](x_2,y_2)[/tex]
So:
[tex]m_2 = \frac{1-5}{-5--1} = \frac{-4}{-4} = 1[/tex]
CD:
[tex]C = (-5,1)[/tex] -- [tex](x_1,y_1)[/tex]
[tex]D = (x,y)[/tex] -- [tex](x_2,y_2)[/tex]
So:
[tex]m_3 = \frac{y - 1}{x --5} = \frac{y-1}{x+5}[/tex]
DA
[tex]D = (x,y)[/tex] -- [tex](x_1,y_1)[/tex]
[tex]A = (3,1)[/tex] -- [tex](x_2,y_2)[/tex]
[tex]m_4 = \frac{1-y}{3-x}[/tex]
AB and CD are parallel sides. So, they have the same slope
i.e.
[tex]m_1 = m_3[/tex]
[tex]\frac{y-1}{x+5} = -1[/tex]
Solve:
[tex]y-1 =-x-5[/tex]
Make y the subject
[tex]y =-x-5+1[/tex]
[tex]y =-x-4[/tex] ---- (1)
BC and DA are parallel sides. So, they have the same slope
i.e.
[tex]m_2 = m_4[/tex]
[tex]1 = \frac{1-y}{3-x}[/tex]
Solve:
[tex]1-y =3-x[/tex]
Make y the subject
[tex]y =1-3+x[/tex]
[tex]y =x-2[/tex] ---- (2)
So, we have:
[tex]y =-x-4[/tex] and [tex]y =x-2[/tex]
Equate both:
[tex]y=y[/tex]
[tex]-x-4=x-2[/tex]
Collect like terms
[tex]-x-x=4-2[/tex]
[tex]-2x=2[/tex]
Solve for x
[tex]x = -\frac{2}{2}[/tex]
[tex]x = -1[/tex]
Substitute [tex]x = -1[/tex] in [tex]y =x-2[/tex]
[tex]y = -1-2[/tex]
[tex]y = -3[/tex]
So, the missing coordinate is:
[tex]D = (-1,-3)[/tex]
Can someone help me please.?
Answer:
be+bh=eh.
Step-by-step explanation:
am I right or wrong
a car travels the first 15 km of the journey at an average speed 60km/h and the remaining 40 km at an average speed of 30 km/h find the average speed of the whole journey
Answer:
the average speed of the whole journey is 45 km/h
Step-by-step explanation:
The computation of the average speed of the whole journey is shown below:
Average speed is
= (Speed 1 + speed 2) ÷ 2
= (60 km/h + 30 km/h) ÷ 2
= 90 km/h ÷ 2
= 45 km/h
Hence, the average speed of the whole journey is 45 km/h
We simply ignored the distance as it is not relevant for the given situation
The same would be considered
You have a bag of gummy worms. 12 are green, 3 are blue, 6 are red, and 2 are orange. What is the probability that you will reach into the bag and pull a red worm, eat it, and then pull a green worm?
The probability that you will reach into the bag and pull a red worm, eat it, and then pull a green worm:
What is probability?Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.
Probability of Event = Favorable Outcomes/Total Outcomes = X/n
The probability of pulling a red worm from the bag is 6/(12+3+6+2) = 6/23.
After eating the red worm, there are 11 green worms left in the bag, so the probability of pulling a green worm is 12/(12+3+2) = 12/17.
To find the probability of both events occurring (pulling a red worm and then a green worm), we need to multiply their probabilities:
P(red and green) = P(red) × P(green)
P(red and green) = (6/23) × (12/17)
P(red and green) = 72/391
Therefore, the probability of reaching into the bag and pulling a red worm, eating it, and then pulling a green worm is 72/391.
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I desperately need help with this please help. (Yes I’m bad at math)
Answer:
m∡A = 128°
Step-by-step explanation:
since AD = BC then ∡A=∡B
One bead for every member of the school orchestra is placed in a bag. All but 2 of the beads are white. Each member draws a bead from the bag, and the members who pick the non-white beads will represent the orchestra. It is predicted that two different instrument players will choose the white beads.
We are to say whether the conclusion is valid.
Answer:
Statement is valid.
Step-by-step explanation:
We are told that One bead is placed in a bag for every member of the school orchestra.
Also that all the beads except for 2 are white. Now, each member takes a bead from the bag and those who lick the non-white will represent the orchestra.
This tells us that this is an unbiased sample because it doesn't give anyone a better chance of picking non-white as every member of the school orchestra has an equal chance since it is randomly selected.
Thus, we can conclude that the statement that two different instrument players will choose the white beads is valid because we are dealing with an unbiased and simple random sampling
An angle measures 36.6° less than the measure of its complementary angle. What is themeasure of each angle?
Answer:
53.4° and 36.6°
Step-by-step explanation:
90.0 - 36.6 = 53.4
At Marco’s Pizza House it costs $4.00 to make a small pizza. If they intend to mark-up the pizza by 80% what will the cost be for customers?
Answer:
$7.20
Step-by-step explanation:
4 times 0.8 is 3.20
Add them together to get the new cost
Answer:
$7.20
Step-by-step explanation:
Solve for x and round your answer to the nearest tenth.
Answer:
I believe it should be 32.9
Step-by-step explanation:
Brianna, who weighs 6 lb, just received her shots and needs a pain killer. The pain killer is
prescribed at 15 mg for every 1 lb of weight. How many milligrams will the doctor prescribe?
A rectangular prism is 12 yards long, 8 yards wide, and 5 yards high. What is the surface area of the rectangular prism? HURRY I NEED HELP NOWWWWWW PLEASEEE
Answer is 392yd squared
Solve for x:
5x+1=6x+9
Answer: -8
Step-by-step explanation:
can you help me with this, please?
Answer:
its D i do belive
Step-by-step explanation:
Answer:
28in, 195in, 197in
Step-by-step explanation:
There's no "supereasy" way to solve it, except by computation or approximation.
e.g. 2 3 6 couldn't work, because 2+3 < 6 so it's not even a triangle
125^2 cannot equal 122^2 + 30^2, because 125^2 is odd and 122^2 and 30^2 are even
23^2 + 18^2 = 529 + 324 < 900 < 31^2
So it has to be the last one, and after verification we find it checks out and 28^2 + 195^2 = 197^2
Hey, if you can help I would love it.
Answer:
the answer is C
Step-by-step explanation:
the number line shows the numbers 70/100 - 80/100. the x appears 6 lines after 70/100 which is 0.76
How would the domain and range of the function
1
y = -x - 6 be determined? Explain.
4
Answer:
Step-by-step explanation:
I will focus on your function y = -x - 6.
First of all, this is a linear function. All linear functions have unlimited domain and range: (negative infinity, positive infinity).
If you meant (1/4)y = - x - 6, exactly the same response would be true.
help plssss (I’ll give 80 pointsss)
Answer:
5 + 2 = 7
Step-by-step explanation:
The vertical lines are on the points 5 and 7. So to get from five to seven you move two to the right
Answer:
here in the figure
5 +2 = 7
so the vertical lines is in the points 5 and 7 .
if you want to find
you need to add both points 5 and 2
so after adding both you will get answer 7
hope it is helpful to you️☺️☺️☺️☺️☺️☺️☺️
Helpppppppppppppppppppppp
Answer:
8.04 units
Step-by-step explanation:
By Pythagoras Theorem:
[tex] {x}^{2} = \bigg( \frac{25.2}{2} \bigg)^{2} - {(9.7)}^{2} \\ \\ {x}^{2} = ( 12.6)^{2} - {(9.7)}^{2} \\ \\ {x}^{2} = 64.67 \\ \\ x = \sqrt{64.67} \\ \\ x = 8.04176598 \\ \\ x \approx \: 8.04[/tex]
Angle a is _______ degrees.
Angle b is _______ degrees.
Answer:
a=60° b=55°
Step-by-step explanation:
using the exterior angle property it's suopposed to add up to 180° so we make a the subject of the formula subtracting 180-120 .... again the same for b
What is the solution to the equation 9(x - 2) = 27?
01) x = 2.5
2) x = 0.5
3) x = -0.5
04) x = 3.5
Step-by-step explanation:
9(x - 2) = 27
9x - 18 = 27
9x = 27 + 18
9x = 45
x = 45/9
x = 5
-TheUnknownScientist
IL GIVE BRAINLY THING
Answer:
It takes 42 seconds for the ball to reach its maximum height
The ball's max height is 2
hope this is right
Complete the table below to classify the triangles as scalene or isosceles.
Triangle
Classification
2
2
3
5
10
9
<
3
Answer:
1) Isosceles
2) Scalene
3) Scalene
Step-by-step explanation:
The 1st choice is isosceles because 2 side lengths are equal.
The 2nd and 3rd choice are scalene because none of the sides equal the other sides.
What is the value of θ for the acute angle in a right triangle?
sin(θ)=cos(73°)
Enter your answer in the box.
θ=
Answer:
The correct answer would be 17
I took the test and it was correct
Sorry its late hope it helps!
Answer: 17
Step-by-step explanation:
θ= 17
Correct answer on the test.
GHJU is a rhombus. how could you prove that <3~=<2? this doesn’t have to be a formal proof, just a basic outline of an augment. how would you approach this proof?
Answer:
Angle 3 is equal to Angle 2 because when you have a rhombus, the diagonals will always bisect the angles.
Step-by-step explanation:
A reporter claims that 90% of American adults cannot name the current vice president of the United States. To
investigate this claim, the reporter selects a random sample of 50 American adults and finds that 28 are unable to name the current vice president. The reporter would like to know if the data provide convincing evidence that fewer than 90% of American adults are unable to name the current vice president. Are the conditions for inference met?
a)Yes, the conditions for inference are met.
b) No, the 10% condition is not met.
c) No, the Large Counts Condition is not met.
d) No, the randomness condition is not met.
Answer:
Not A or D
Step-by-step explanation:
edge 21
A local hamburger shop sold a combined total of 427 hamburgers and cheeseburgers on Thursday. There were 73 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?
Answer:
250 hamburgers
Step-by-step explanation:
Explanation: Because IK
In the hormone replacement studies of menopausal women, doctors rejected the results of the observational study after conducting the experiment. In the experiment they controlled the effects of confounding variables that had probably influenced the results in the observational study. In the experiment the doctors used random assignment to treatment groups, a placebo, and double blinding to control the effects of confounding variables. Which of the following are potential confounding variables? Check all that apply.
A. whether a woman took hormones
B. whether a woman in the study had a heart attack
C. wealth
D. access to health care
Answer:
A. whether a woman took hormones.
B. whether to woman in the study had a heart attack.
D. access to health care
Step-by-step explanation:
The study conducted to observe the menopausal woman must be supported with their health history. Some woman may have menopause at an early age while other go towards this at a later age. This can be due to smoking, hormone intake, severe diseases like heart attack or cancer and their routine health checkup details. There variables must be observed and included in experiment to reach a conclusion.
how do you solve this??
Patty are is. 3 times audreys age plus 7. Party is 37. What is audreys age?
Answer:
19
Step-by-step explanation:
37/3= 12. something
12+7+19
I really need help ASAP and I only have 2 left of missing assignments on math and I am really bad at math and I am going to fail help me plzzzzz T^T
It's Homework #1: Odds
Answer:
1/10, 3/10
Step-by-step explanation:
1) we have 10 letters, so the answer is: 1/10
2) we have three grey parts in a total of ten parts, so the answer is 3/10
What is the total surface area of a cylinder with a radius 5 meters and a height 7.2 meters
Answer:
383.27
Step-by-step explanation: