The diagram shows inner perimeter of a running track.
a. The total length must be 400m. Fund the length of the straight sides.
b. The track has 6 lanes, each 1.5m wide. Find the difference in the length between the outer and inner perimetres.

Answer:

A) 99.5%

B) 42.1%

Step-by-step explanation:

A) Since the probability of 3 sixes is 0.5%, the probability of less than 3 sixes (that is, zero, one, or two sixes) is 100% - 0.5%, or 99.5%

B ) Since the probability of no sixes is 57.9%, the probability of at least 1 six is 100% - 57.9%, or 42.1%

Answer: Heyaa!! ~

Your Answer is... 1/m^8 which is the b or the second answer!

Step-by-step explanation:

Simplify the expression.

Hopefully this helps you!

-Matthew ^^

Answer:

See below

Step-by-step explanation:

IN a right triangle , remember  S-O-H-C-A-H-T-O-A   <===memorize this!

sin z = O/H = opposite side/hypotenuse = 16/20

cos z = A/H = adjacent / hy[potenuse = 12/20

tan z  = O/A = 16/12

By completing squares, we will see that the center of the given circle is at (-3, -2).

The general circle equation centered on (a, b) of radius R is:

[tex](x - a)^2 + (y - b)^2 = R^2[/tex]

In this case, our equation is:

[tex]x^2 + y^2 + 6x + 4y - 3 = 0[/tex]

First, we need to complete squares, we will have:

[tex]x^2 + 2*3*x + y^2 + 2*2*y - 3 = 0\\\\x^2 + 2*3*x + (9 - 9) + y^2 + 2*2*y + (4 - 4) - 3 = 0\\\\(x^2 + 2*3*x + 9) - 9 + (y^2 + 2*2*y + 4) - 4 - 3 = 0\\\\(x + 3)^2 + (y + 2)^2 = 3 + 9 + 4 = 16[/tex]

Then, by looking at the left side, we can see that the center of the circle is (-3, -2).

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Answer:

d

Step-by-step explanation:

got it right on edge

Answer: P(sum is 5 or lower) = 10/36 (not simplified) = 5/18 (simplified)

Step-by-step explanation: The event is {(1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1)}

Answer:

c obtuse angle

Step-by-step explanation:

Answer: C, Obtuse Angle

Step-by-step explanation: A right angle is an angle with 90 degrees, which this is not.

An acute angle is an angle with LESS than 90 degrees, which is also incorrect.

An obtuse angle is an angle with MORE than 90 degrees, which is correct because the angle is more than 90 degrees.

A straight angle is just a straight line, which this angle is not.

Answer: 1

Step-by-step explanation:

Answer:

Perimeter = 61 7/20

Step-by-step explanation:

Perimeter is the distance around the outside of a shape. Add up all the sides. To add fractions you must have a common denominator. See image.

Answer:

C. 24

Step-by-step explanation:

Answer:

t=0.9

Step-by-step explanation:

After I graphed it gave me - y>−4x

- Appreciate if you rate.

Answer:

yor mom

Step-by-step explanation:

The function B(t) = 1872(0.83)[tex].^t[/tex] represents the annual population of bees in a county park, the decline rate is 17%.

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

The decline rate will be calculated as below:-

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

From the function :

b = 0.83

The decline rate will be calculated as,

Decline rate = 1 - 0.83 = 0.17 x 100 = 17%

The function B(t) = 1872(0.83)[tex].^t[/tex]  represents the annual population of bees in a county park, the decline rate is 17%.

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Answer:

Y is on the top

X is on the bottem

Step-by-step explanation:

The probability that a randomly selected student studies more than 27 hours per week is 0.0014.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of a population

N = number of observations of population

X = mean

μ = population mean

The average number of hours that NAU students spend studying each week is normally distributed with a mean of 25 hours and a standard deviation of 2.5 hours.

So, μ = 25

σ  = 2.5 hours.

[tex]P(X > 27) = P(\frac{x-\mu}{\sigma} } > \frac{27-25}{2.5})\\\\= P(z } > \frac{27-25}{2.5})\\\\[/tex]

= P (z > 1.2)

= 1 -  P (z < 1.2)

= 0.0014

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Answer:

D

Step-by-step explanation:

substitute x = - 4 into h(x)

h(- 4) = 3(2 - (- 4) ) = 3(2 + 4) = 3 × 6 = 18

Answer:

6 water bottles

Answer:

Graph the solution set for the inequalityy > 2x - 5 by following these steps: Step 1: Identifythe slope and y-intercept. slope = y-intercept = -4. 2.

Step-by-step explanation:

Answer:

(3x+8)°+(x+4)° = 180,

x=42

Step-by-step explanation:

They are linear pairs, so the two angles are supplementary or add up to 180°.

1. Format the equation (3x+8)°+(x+4)° = 180

2. Simplify like terms 4x + 12 = 180

3. Subtract 12 on both sides, 4x=168

4. Divide 4 on both sides, x=42

5. Answer is x=42

Answer:

the vertex represents a maximum

Vertex is (4,7)

f(x)=-(x-4)^2+7

Step-by-step explanation:

Given the function [tex]f(x)=-x^2+8x+9[/tex]

Equation is in the form of y=ax^2+bx+c

[tex]a=-1[/tex]

When 'a' is negative, then vertex is maximum

when 'a' is positive, then vertex is minimum

[tex]a=-1[/tex] is negative, so the vertex represents a maximum

[tex]f(x)=-x^2+8x+9[/tex], factor out negative

Take out negative sign in common

Answer:

D. 68+(6x+4)=180

x = 18

Step-by-step explanation:

"Supplementary angles" are angles that add up to 180°

So we add the twi angles 68+(6x+4) and that equals to 180°.

68 + 6x + 4 = 180

add 68 and 4

72 + 6x = 180

subtract 72.

6x = 108

divide by 6.

x = 18

Answer:

B.

Step-by-step explanation:

The range is all real numbers

It will indefinitely go up and indefinitely go down

Answer:

A) [tex]4\cos^2\theta=3[/tex]

B) [tex]81\tan^2\theta=27[/tex]

Step-by-step explanation:

[tex]\displaystyle 2\sin\theta+1=0;\:90^\circ \leq\theta\leq 270^\circ\\\\2\sin\theta=1\\\\\sin\theta=\frac{1}{2}\\ \\\theta=\frac{5\pi}{6}[/tex]

[tex]\displaystyle 4\cos^2\theta=4\cos^2\biggr(\frac{5\pi}{6}\biggr)=4\biggr(-\frac{\sqrt{3}}{2}\biggr)^2=4\biggr(\frac{3}{4}\biggr)=3[/tex]

[tex]\displaystyle 81\tan^2\theta=81\tan^2\biggr(\frac{5\pi}{6}\biggr)=81\biggr(-\frac{\sqrt{3}}{3}\biggr)^2=81\biggr(\frac{3}{9}\biggr)=81\biggr(\frac{1}{3}\biggr)=\frac{81}{3}=27[/tex]

Answer:

Jack's final bank account amount will be $54,782.50, earning $7,459.31 in interest.

General Formulas and Concepts:
Algebra I

Compounded Interest Rate Formula: [tex]\displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}[/tex]

Step-by-step explanation:

Step 1: Define

Identify given variables.

P = $47,323.15

r = 0.05

n = 1

t = 3

Step 2: Find Interest

∴ Jack will gain $7,459.31 and have a net balance of $54,782.50.

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Topic: Algebra I

Answer:

it will be figure 3

Step-by-step explanation:

it is the odd one of them, with inner concave

Answer:

f(-2) = 0

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify given function.

f(x) = x² - 4

Step 2: Find f(-2)

∴ the function when x = -2 is equal to 0.

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Topic: Algebra I

Answer: 121.0

Step-by-step explanation:

Goblin Birt can take 15 minutes to count the coins in the bag by himself.

The unitary method is a process for solving a problem by first finding the value of a unit, and then finding the necessary value by multiplying the single unit value.

How to calculate how long would it take goblin Birt to count the coins in the bag by himself?

In this problem, the unitary method is to be applied three times.

Here, counting all the coins is considered as the entire work which is considered as 1.

According to the problem,

Goblin guys can count the coins in a bag in 10 minutes.

In 10 minutes Goblin guys can count the coins in the bag.

In 1-minute Goblin, guys can count th part of the coins in the bag.

Again, according to the problem,

Goblin gryh and Goblin Birt both can count all the coins in 6 minutes.

In 6 minutes, Goblin gryh and Goblin Birt both can count all the coins in the bag

In 1 minute, Goblin gryh and goblin Birt both can count  th  part of the coins in the bag.

In 1 minute, Goblin Birt can count ([tex]\dfrac{1}{6}-\dfrac{1}{10}[/tex]  th part of the coins in the bag.

[tex]= (\dfrac{5-3}{30})=\dfrac{1}{15}[/tex] th part of the coins.

We can say, Goblin Birt, can count 1 / 15 th part of the coins in the bag in 1 minute. Goblin Birt himself can count all the coins in the bag in 15 minutes.

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