Pls answer quickly I only have a 1 hr left to submit this assignment and I’m so stuck on it
A running track design is composed of two half circles connected by two straight-line segments. Garrett is jogging on the inner lane (with radius r) while Devin is jogging on the outer (with radius R). If r= 30 meters and R= 33 meters, how much longer does Devin have to run to complete one lap?
Answer:
18.86 m
Step-by-step explanation:
From the given question, both covers the same distance of the straight line segment.
For the inner lane,
length of arc of its semicircle = [tex]\pi[/tex]r
= 30 x [tex]\frac{22}{7}[/tex]
= 94.2857
So that,
the total length for the two halves of the inner lane = 2 x 94.2857
= 188.5714 m
For the outer lane,
length of arc of its semicircle = [tex]\pi[/tex]r
= 33 x [tex]\frac{22}{7}[/tex]
= 103.7143
The total length for the two halves of the outer lane = 2 x 103.7143
= 207.4286 m
The difference between the two = 207.4286 - 188.5714
= 18.8572 m
Therefore, Devin would run 18.86 m more to complete one lap.
When Colton commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a standard deviation of 3.5 minutes. Using the empirical rule, determine the interval that represents the middle 95% of his commute times
Answer:
(34, 48)
Step-by-step explanation:
According to the Empirical Rule, 95% of normally distributed data lie within two standard deviations of the mean. That, in turn, means 95% of the data in this problem lie within 2(3.5 min), or 7 min, of the mean:
41 - 7 < mean < 41 + 7, or
34 < mean < 48, or simply (34, 48)
restaurant bill:$175 with a 20% tip what will the be the amount of tip
Answer:
$35.00
Step-by-step explanation:
175 x .20=35
4 (– 2а – 6b + 5а — 1)
Answer:
Evaluate: 12a - 24b - 4
Aram has been studying the mathematics behind pinball machines. He made the following diagram of one of his
observations. Determine the measure of the missing angle.
Given:
A diagram of Aram's observations.
To find:
The measure of the missing angle.
Solution:
From the given figure it is clear that the three angles [tex]52^\circ,x^\circ,68^\circ[/tex] lie on a single point and right side of a straight line.
So, the sum of angle [tex]52^\circ,x^\circ,68^\circ[/tex] must be [tex]180^\circ[/tex].
[tex]52^\circ+x^\circ+68^\circ=180^\circ[/tex]
[tex]x^\circ+120^\circ=180^\circ[/tex]
[tex]x^\circ=180^\circ-120^\circ[/tex]
[tex]x^\circ=60^\circ[/tex]
Therefore, the measure of the missing angle is [tex]x^\circ=60^\circ[/tex].
someone help me with this plss
Add the following weights:
5 lb 9 oz
+ 1 lb 9 oz
Ib
OZ
What is the probability that the dice shows a 2?
Answer:
1/6
Step-by-step explanation:
the probability of rolling a 2 is 1/6
Pythagorean Theorem
Riley owns an orchard that has a rectangular fence. The orchard is 36 yards long and 18
yards wide. If she walks across the diagonal length of the orchard, how much distance
would she cover?
Answer:
40.25 yds to the the nearest 100th
Step-by-step explanation:
The diagonal forms a right triangle with the length and width.
The diagonal is the hypotenuse
So, let d = the diagonal distance
[tex]d^{2}[/tex] = [tex]18^{2} + 36^{2}[/tex]
= 324 + 1296
= 1620
d = [tex]\sqrt{1620}[/tex] = 40.25 yds to the the nearest 100th
Place the correct symbol in the space provided: 1/2 ___ 3/8
>
<
=
Answer:
1/2 > 3/8
Step-by-step explanation:
To compare the answers, we need to change them to the same denominator.
2x4=8
So we can create an equivent fraction of 1/2 by dividing both numbers by 4:
1x4=4
2x4=8
1/4=4/8
Now we are comparing 4/8 and 3/8, and we can see clearly that 4/8 is greater than 3/8 because 4 is greater than 3.
Hope this helped!
Simplify,
Rewrite the expression in the form 2n.
2.2.2.2.2.2.2.2
2.2.2.2
An expression is defined as a set of numbers, variables, and mathematical operations. The expression can be written in the form of 2ⁿ as 2⁴.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression can be rewritten as,
[tex]\dfrac{2 \cdot2 \cdot2 \cdot2 \cdot2 \cdot2 \cdot2 \cdot2}{2 \cdot2 \cdot2 \cdot2} = \dfrac{2^8}{2^4} = 2^{8-4} = 2^4[/tex]
Hence, the expression can be written in the form of 2ⁿ as 2⁴.
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ1
Help me please !!!!!!
Answer:
The y-int represents the base price of $200 for airfare from NYC
The slope represents a cost of 30 cents per mile traveled
If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y=50+0.30x
If the cost per mile changed to 50 cents, the new equation would be y=200+0.50x
plzzzzz help i really need it guys thxxxxxxxx!
Answer:
11. m=-1/4 b=5 equation is y=-1/4x+5
12.m=4/3 b=0 equation is y=4/3x
Step-by-step explanation:
need help will give brainliest
Answer:
40.56
Step-by-step explanation:
2pir
8÷2=r=4
2pi4=25.13
25.13÷2=12.565
10+10+8+12.56=40.565
En una tienda de antigüedades una lámpara cuesta $1956 que precios representa el 25% y el 50% del precio total
Answer:
Resultados están más abajo.
Step-by-step explanation:
Dada la siguiente información:
Costo total= $1,956
Para calculate el valor parcial, debemos usar la siguiente información:
Precio proporcional= costo total* ( 1 - porcentaje de descuento)
50%:
Precio proporcional= 1,956*(1 - 0.5)
Precio proporcional= $978
25%:
Precio proporcional= 1,956*(1 - 0.75)
Precio proporcional= $489
What is the value of x in the figure? Enter your answer in the box.
Answer:
X = 65
Step-by-step explanation:
2(65) + 15 = 145
ur welcome
How many minutes are there in 12.5 hours?
Answer:
750 minutes
Step-by-step explanation:
Answer:
750 minutes would be your answer
Step-by-step explanation:
Explain why that price seems to be a linear function of the number of boxes ordered?
Heeeeeelp
Answer:
Step-by-step explanation:
Because it's adding by a constant I'm pretty sure
what is 3456 x 3 hundreds
Answer:
3456 × 300 is equal to 1036800.
Answer:
1036800 right or did i miss read the question?
Step-by-step explanation:
5.
Write the inequality in words.
3n < 52
A. fifty-two less than three times n
B. Three times n is less than or equal to fifty-two.
C. Three times n is less than fifty-two.
D. Three times n is greater than fifty-two.
Answer:
C
Step-by-step explanation:
3n= 3 times n
And it is less than 52
Answer:
C. Three times n is less than fifty-two.
Step-by-step explanation:
What is the answer?
Please answer quickly!
Thank you so much
Answer:
x=11
Step-by-step explanation:
Hi, there you are using are multiplying so you have to add the exponets 3 and 8 which would equal to 11
Guys pls help me!!!!!!
Answer:
This would be graph A
Step-by-step explanation:
x = 2 means that it is a vertical ( up and down) line
It is a x=2
This would be graph A
Solve X
5x + 15 = 35
Answer:
x = 4
Step-by-step explanation:
5x + 15 = 35
subtract 15 from each side of the equation:
5x = 20
divide both sides by 5:
x = 4
A. (-5,-)
B. (-2,-4)
C. (1.-6)
D. (-5.-5)
Which of the following correctly gives the center and radius of the circle defined by the equation (x - 7)2 + (x - 2)2 = 10? A. Center: (7, 2); Radius = 100 B. Center: (7, 2); Radius = 10 C. Center: (-7, -2); Radius = 100 D. Center: (-7, -2); Radius = 10
Answer:
Center (7,2) and radius = 10
Step-by-step explanation:
Generally, we have the equation of a circle as follows;
(x-a)^2 + (y-b)^2 = r^2
where (a,b) represents the circle center and r represents the radius of the circle
Looking at the given equation of a circle, we have it that the center is (7,2) while the radius of the circle is 10
Timothy is making a bar graph to compare how many of each type of drink he has in his cooler. He has 4 milk cartons, 12 juice boxes, 16 waters, and 20 iced teas. Which scale makes the most sense for Timothy to use with his graph?
A.
Each grid line should represent 1 type of drink.
B.
Each grid line should represent 5 types of drink.
C.
Each grid line should represent 3 types of drink.
D.
Each grid line should represent 4 types of drink.
Answer:
D. Each grid line should represent 4 types of drink.
find the area of the composite shape
Answer:
96 m²
Step-by-step explanation:
To calculate the area of a composite shape, you must divide the shape into rectangles, triangles, or other shapes.
A = l × w
L = length
W = width
Find the area and then add the areas back together.
12m × 8m
= 96 m²
The area of the composite shape is 96 m²
What is the value of z in the equation 3z + 5 = 4z - 2? I NEED THE WORK
Answer:
z=7
Step-by-step explanation:
3z+5=4z-2
5=4z-2-3z
5=z-2
5+2=z
7=z
z=7
In general, describe how the outcome of the hypothesis test changes as the level of significance decreases.
Answer:
The region of acceptance gets bigger and the null hypothesis is mostly accepted as it lies in the acceptance region.
Step-by-step explanation:
As the level of significance is decreased the area for the favorable outcomes is increased. The value of ∝= 0.1 has a narrower area of favorable outcomes then the values of ∝= 0.05 or 0.01 because the value 0.1 ( 1%) is closer to the middle value or at the extreme values of the distribution as the case may be for 2 tailed or 1 tailed test.
Significance level Two tailed Test One tailed test
0.1 ± 1.645 ±1.28
0.05 ±1.96 ± 1.645
0.01 ± 2.58 ± 2.33
So if the middle point is taken as zero we see that the spread of the area of the favorable values increases as the value of ∝ significance level decreases.
The region of acceptance gets bigger and the null hypothesis is mostly accepted as it lies in the acceptance region.
