3 math geniuses help please!! math

During a school race, Sonic ran around the entire track 5 times in 10 seconds. Everyone was shocked by his speed, which was equa

Aleonysh [2.5K]

Step-by-step explanation:

there is no diagram here.

I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.

Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.

that means he ran 10×321 m in 10 seconds = 3210 m.

so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.

and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).

we know the formula for the circumference of a circle :

2×pi×radius

so, we have then

642 = 2×2R + 2×pi×R = R×(4 + 2×pi)

R = 642 / (4 + 2×pi) = 62.43201701...

and when using the requested "cut-off" pi = 3.14, we get

R = 642 / (4 + 2×3.14) = 62.45136187...

and that is rounded 62.5

so, the second answer option is correct.

7 0

3 years ago

Read 2 more answers

Math 7 Grade 7

sdas [7]

A and D are Experimental
B and C are Theoretical

Experimental has a specific number of trials like the 11 flips or the classroom of students
Theoretical is based on what is ONLY there like C 3 numbers in a 6 sided die are even 3/6 = .5 = 50%

6 0

3 years ago

Simplify the square root of 10000 using powers of 10.

Alexxandr [17]

Answer:

square 10 to the 4th power but you have to divide it into 2 so it will be 10 to the 2nd power

hope this helps

4 0

2 years ago

Which sentence explains the correct first step in the solution of this equation? 4(x−3)=9

kodGreya [7K]

Answer:

You will do the Distributive Property first.

Step-by-step explanation:

You will do the Distributive Property first.

4(x - 3) = 9 distribute the 4 into the x and -3.

4x - 12 = 9 add -12 to both sides.

4x = 21 divide 4 on both sides.

x = 5.25 is your answer.

4 0

3 years ago

Identify the correct conclusion. Do not reject the null hypothesis. Report that there insufficient evidence to conclude that tre

mr_godi [17]

The question is incomplete. The complete question is :

Tests for adverse reactions to a new drug yielded the results given in the table. Drug Placebo headaches No headaches 11 7 91 73 The data will be analyzed to determine if there is sufficient evidence to conclude that an association exists between the treatment (drug or placebo) and the reaction (whether or not headaches were experienced. The results of the test are X2 = 1.798 P-value = .1799. Identify the correct conclusion. O Do not reject the null hypothesis. Report that there insufficient evidence to conclude that treatment and reaction are dependent. O Fail to reject the null hypothesis. Report that there insufficient evidence to conclude that the distribution of headaches is uniform for the drug and placebo. O Reject the null hypothesis. Report that there is sufficient evidence to conclude that treatment and reaction are dependent. O Reject the null hypothesis. Report that there is insufficient evidence to conclude that treatment and reaction are dependent.

Solution :

Given :

Drugs Placebo

Headaches 11 7

No headaches 73 91

The results of the test are :

$X^2=1.798$

The P value is given as = 0.1799

The hypothesis test given for dependent or association between the two variables.

$H_0$ : There is no association between the treatment and the reaction

$H_1$ : There is association between the treatment and the reaction.

If the P value is greater than the alpha value, i.e. when

P value > α (0.05), then we reject the $H_0$ .

Therefore, Do not $\text{reject the null hypothesis}$ . Report that $\text{there insufficient}$ evidence to conclude that $\text{treatment}$ as well as $\text{reaction are dependent}$ .

7 0

3 years ago