Answer:
The Great Chicago Fire was a conflagration that burned in the American city of Chicago during October 8–10, 1871. The fire killed approximately 300 people, destroyed roughly 3.3 square miles (9 km 2) of the city, and left more than 100,000 residents homeless. The fire began in a neighborhood southwest of the city center.
Step-by-step explanation:
Origin
The fire is claimed to have started at about 8:30 p.m. on October 8, in or around a small barn belonging to the O'Leary family that bordered the alley behind 137 DeKoven Street.
Spread
When firefighters finally arrived at DeKoven Street, the fire had grown and spread to neighboring buildings and was progressing toward the central business district.
Aftermath
Once the fire had ended, the smoldering remains were still too hot for a survey of the damage to be completed for many days. Eventually, the city determined that the fire destroyed an area about 4 miles (6 km) long and averaging ⁄4 miles (1 km) wide, encompassing an area of more than 2,000 acres (809 ha).
Hope this helps please mark brainliest!!
For any number, y
Add one third of the number
Then subtract _____________ of the result.
The answer is y
Answer:
y/3
Step-by-step explanation:
According to the conditions :
y + y/3 - x = y
y + y/3 - y = x
(3y + y - 3y )/3 = x
y/3 = x
Answer:
[tex]\frac{3}{12}[/tex]
Step-by-step explanation:
Create an equation and solve for x:
[tex]y + \frac{1}{3} y = \frac{4}{3} y\\\frac{4}{3}y - x(\frac{4}{3}y) = y\\x = \frac{3}{12}[/tex]
MARKING BRAINLIEST ..Please
Answer:
B
Step-by-step explanation:
Have a good day :)
Answer: I think D.
Step-by-step explanation:
two parallel lines are cut by a transversal. what is the measure of angle 8
Answer:
A
Step-by-step explanation:
∠4 and ∠8 are corresponding angles
corresponding angles are congruent ( equal to each other )
so if ∠4 = 100° then ∠8 also equals 100°
Answer:
A
Step-by-step explanation:
8 is equal to 4(100) because it is corresponding angle, corresponding angle are equal to each other...If 4 is 100 then 8 will be 100
Can someone give me the anwers I don’t understand it
help plzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
I think I just posted that last time. Check my timeline
Select ALL the expressions that are equivalent to -4(8x-3)
A) -20X
B) 4(3-8x)
C) -32x-12
D) 2(-16x+6)
E) 5-9(8x-3)
Answer:
dddddStep-by-step explanation:
If you were trying to prove that a shape had all four sides congruent, which formula
would you be using?
A. Slope Formula
B. Distance Formula
C. Quadratic Formula
D. Midpoint Formula
PLS HELP ASAP...A triangle has side lengths of (10m-5) centimeters, (6m-2) centimeters, and (8n+4) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
1. 12n+16m−7
2. 16m+8n−3
3. 12n+5m+4
4. 12n+9m
Answer:
perimeter = 10m - 5 + 6m - 2 + 8n + 4
= 16m -7 + 8n + 4
16m + 8n -3
option 2
The expression represents the perimeter of the triangle will be 16m + 8n - 3. Then the correct option is B.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The sum of all the sides of the triangle will be known as the perimeter of the triangle.
A triangle has side lengths of (10m - 5) centimeters, (6m - 2) centimeters, and (8n + 4) centimeters.
The expression represents the perimeter of the triangle will be
P = (10m - 5) + (8n + 4) + (6m - 2)
P = 16m + 8n - 3
The expression represents the perimeter of the triangle will be 16m + 8n - 3. Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
Find the MEDIAN of the data set. (Hint: the numbers must be in order first!) 40 76 40 63 47 57 49 55 50 53
Given:
The data set is:
40, 76, 40, 63, 47, 57, 49, 55, 50, 53
To find:
The median of the given data set.
Solution:
We have,
40, 76, 40, 63, 47, 57, 49, 55, 50, 53
Arrange the data values in ascending order.
40, 40, 47, 49, 50, 53, 55, 57, 63, 76
Here, the number of observations is 10 which is an even number. So, the median is:
[tex]Median=\dfrac{(\dfrac{n}{2})\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2}[/tex]
Putting n=10, we get
[tex]Median=\dfrac{(\dfrac{10}{2})\text{th term}+(\dfrac{10}{2}+1)\text{th term}}{2}[/tex]
[tex]Median=\dfrac{5\text{th term}+6\text{th term}}{2}[/tex]
From the arranged terms, it is clear that the the 5th term is 50 and the 6th term is 53.
[tex]Median=\dfrac{50+53}{2}[/tex]
[tex]Median=\dfrac{103}{2}[/tex]
[tex]Median=51.5[/tex]
Therefore, the median of the given data set is 51.5.
1) Bruce L. Sprouts had to take a loan worth $5,000.
The loan has a 3.5% interest rate.
He has to pay the loan off in 6 years.
A) How much will he have to pay for the interest?
B) How much will he have to pay total? Please answer fast show your work you will be marked as brain
Answer:
A) $1,050
B) $6,050
Step-by-step explanation:
We solve using the Simple Interest formula
Simple Interest (I) = Principal × Rate × Time
From that above question, we have the parameters
Principal = $5000
Rate = 3.5 % = 0.035
Time = 6 years
A) How much will he have to pay for the interest?
Hence,
Interest = $5,000 × 0.035 × 6
= $1,050
Therefore, the amount of interest he will have to pay is $1,050
B) How much will he have to pay total?
The amount he will have to pay in contact =
Principal + Interest paid on loan
= $5,000 + $1,050
= $6,050
Javier built a skateboard ramp by elevating one end of an 8-foot piece of plywood so that it makes a 20 degree angle with the ground.
Answer:
2.74feet
Step-by-step explanation:
Since we are not told what to find, we can find the height of the plywood
Given the following
length of ramp = 8feet
angle of elevation = 20degrees
Required
Height of the plywood
Using the SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 20 = H/8
H = 8sin20
H = 8(0.3420)
H = 2.74 feet
Hence the height of the plywood is 2.74feet
Jose has a bag of 6 blue marbles, 3 white marbles, and 8 black marbles. What is the probability that he pulls a blue marble out of the bag?
It’s about solving systems of equations...
Answer:
(-1,-1)
Step-by-step explanation:
The price of an item yesterday was $130. Today, the price rose to $351. Find the percentage increase.
please help and I will mark you braniest!
Answer: The percentage increase is 170%
Step-by-step explanation:
Increase= $351 - $130
Increase= 221
Percent increase = 221/ 130
Percent increase= 170%
I'm not sure if I'm right, but I hope that this helped:)
Answer:
170%
Step-by-step explanation:
130 = 100%
65 = 50%
13 = 10%
351 - 130 = 221 (doesnt count)
221 - 130 = 91
91 - 65 = 26
26 - (13 + 13) = 0
100 + 50 + 20 = 170%
The surface area of a cylinder is 520 ft.² The area of one of the bases is 254.34 ft.² find the height of the cylinder
Answer:
The height is 0.2003ft
Step-by-step explanation:
Given
[tex]Surface\ Area = 520[/tex]
[tex]Base\ Area = 254.34[/tex]
Required
The height of the cylinder
The base area of the cylinder is:
[tex]Base\ Area = \pi r^2[/tex]
This gives
[tex]254.34 = 3.14 * r^2[/tex]
Divide by 3.14
[tex]81 = r^2[/tex]
Take square root of both sides
[tex]r = \sqrt{81[/tex]
[tex]r = 9[/tex]
The surface area of a cylinder is:
[tex]Surface\ Area = 2\pi rh + 2\pi r^2[/tex]
This gives
[tex]520 = 2*3.14* 9h + 2*3.14* 9^2[/tex]
[tex]520 = 56.52h + 508.68[/tex]
Collect like terms
[tex]56.52h = 520 -508.68[/tex]
[tex]56.52h = 11.32[/tex]
Solve for h
[tex]h = 11.32/56.52[/tex]
[tex]h = 0.2003ft[/tex]
Match the cube roots and square roots with their values.
V4
327
64
364
49
31,000
2
10
3
4
8
7
What is the equation of the line that passes through the point (-4, 2) and has a slope of -5/4?
Answer:
y = -5/4 x - 3 is the slope-intercept form
5x + 4y = -12 is the standard form
Step-by-step explanation:
Use the point-slope form: [tex]y - y_{1} = m(x - x_{1})[/tex]
[tex](x_{1}, y_{1})[/tex] = (-4, 2)
y - 2 = -5/4(x + 4) Multiply by 4 to remove the fraction
4y - 8 = -5(x + 4)
4y - 8 = -5x - 20
4y = -5x - 12
y = -5/4 x - 3 is the slope-intercept form
5x + 4y = -12 is the standard form
Christopher the barber did 8 haircuts. One of the 8 was a walk-in. Express the amount
of walk-ins as a percent.
PLS HELP ASAP!!
50 POINTS!
Answer:
135Step-by-step explanation:
3³· (12 - 2) ÷ 2 = 3³ · 10 ÷ 2 = 27 · 10 ÷ 2 = 270 ÷ 2 = 135The length of a rectangle is 8feet less than the width. The perimeter is 64 feet. Find the length and the width
Answer:
Length = 4 feet
Width = 4 feet
Step-by-step explanation:
The perimeter of a rectangle formula = 2L + 2W
Where L = Length
W = Width
The length of a rectangle is 8feet less than the width.
Hence,
L = 8 - W
The perimeter is 64 feet.
Hence,
64 = 2(8 - W) × 2W
64 =( 16 - 2W )2W
64 = -4W² + 32W
4W² - 32W + 64 = 0
Factorise
4W² - 16W - 16W + 64 = 0
4W (W - 4) - 16(W - 4) = 0
W - 4 = 0
W = 4
Width = 4
Solving for L
L = 8 - W
L = 8 - 4
L = 4
Therefore,
Length = 4 feet
Width = 4 feet
There are 4 portable classrooms at Glynn High School. Four teachers will be assigned to the rooms. In how many ways can these assignments be made?
Answer:
24
Step-by-step explanation:
In the first classroom, there are 4 possibilities of teachers to be assigned.
In the second classroom, 1 teacher has already been assigned, so there are 3 possibilities.
In the third classroom, 2 teachers have already been assigned, so there are only 2 possibilities.
Finally, there is only 1 possible teacher for the fourth classroom, since 3 teachers have already been assigned to other classrooms.
We can find the total number of possibilities using the product rule.
N = 4 × 3 × 2 × 1 = 24
Which of the following is a dilation?
Answer:
A) image is being doubled in size in A
Step-by-step explanation:
B and C are rotations
D is a translation
THIS IS AREA OF CIRCLES PLS HELPP
Answer:
3 ft
Step-by-step explanation:
You are given the area, and the area formula, and you can set them equal to each other:
pi r^2 = 9 pi
Divide by pi on both sides:
r^2 = 9
Find the square root of both sides to get:
r = 3 feet
Answer:
r = 3 ft.
Step-by-step explanation:
In order to solve this problem, you need to substitute the information given into the equation and solve for r. The problem tells us that the area of the circle is 9π ft². We can use this value and substitute it into the equation.
9π = πr²
⇒ 9 = r²
⇒ 3 = r
Therefore, the radius of the circle is 3 ft.
Use the graph to write a linear function that relates Y toX
An adult ticket costs £4.
A child ticket costs £3.
Hina spends £47 on cinema tickets.
She buys 8 adults tickets.
Work out how many child tickets she buys.
First correct response gets brainliest
Answer:
x = 13
Step-by-step explanation:
This question is based on Secant Secant theorem.
Secant Secant theorem gives us the following formula:
(AB + BD)AB = (AC + CE).AC
From the above question we have the following parameters
AB = 5
BD = x
AC = 7.5
CE = 4.5
Hence,
(AB + BD)AB = (AC + CE).AC
(5 + x)5 = (7.5 + 4.5)7.5
25 + 5x = 90
Collect like terms
5x = 90 - 25
5x = 65
x = 65/5
x = 13
Complete the equation of the line through (3,-1)(3,−1)left parenthesis, 3, comma, minus, 1, right parenthesis and (4,7)(4,7)left parenthesis, 4, comma, 7, right parenthesis.
Answer: [tex]y=8x-25[/tex]
Step-by-step explanation:
Given
Line passes through [tex](3,-1)\ \text{ and}\ (4,7)[/tex]
Equation of line when it passes through two points [tex](x_1,y_1),(x_2,y_2)[/tex]
[tex]\Rightarrow \dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}[/tex]
Insert the values
[tex]\Rightarrow \dfrac{7+1}{4-3}=\dfrac{y+1}{x-3}\\\\\Rightarrow \dfrac{8}{1}=\dfrac{y+1}{x-3}\\\\\Rightarrow 8x-24=y+1\\\Rightarrow y=8x-25[/tex]
Answer:
8x-25
Step-by-step explanation:
:O thats ez
The speed with which utility companies can resolve problems is very important. GTC, the Georgetown TelephoneCompany, reports they can resolve customer problems the same day they are reported in 70 percent of the cases.Suppose the 15 cases reported today are representative of all complaints. a) What is the probability 10 of the problems can be resolved today? b) What is the probability 9 or 12 of the problems can be resolved today? c) What is the probability more than 10 of the problems can be resolved today?
Answer:
a) [tex]P(10)=0.2061[/tex]
b) [tex]P(9\ or\ 12)=0.3172[/tex]
c) [tex]P(X>10)=0.51545[/tex]
Step-by-step explanation:
From the question we are told that:
Probability of Same day resolution [tex]P=70\%=>0.7[/tex]
Probability of Another day resolution [tex]Q=1-P=>30%=>0.3[/tex]
Sample size [tex]n=15[/tex]
a)
Generally the equation for Probability 10 of the problems can be resolved today is mathematically given by
Since
[tex]P(X)=^{n}C_{x}*p^{x}*Q^{n-x}[/tex]
[tex]P(10)=^{15}C_{10}*p^{10}*Q^{15-10}[/tex]
[tex]P(10)=\frac{15!}{10!(15-10)!*0.70^{10}*0.30^5}[/tex]
[tex]P(10)=0.2061[/tex]
b)
Generally the equation for Probability 9 or 12 of the problems can be resolved today is mathematically given by
[tex]P(9)=\frac{15!}{9!(15-9)!*0.70^{9}*0.30^6}[/tex]
[tex]P(9)=5005*2.942*10^{-5}[/tex]
[tex]P(9)=0.1472[/tex]
OR
[tex]P(12)=\frac{15!}{12!(15-12)!*0.70^{12}*0.30^3}[/tex]
[tex]P(12)=455*3.737*10^{-4}[/tex]
[tex]P(12)=0.17[/tex]
Therefore Probability 9 or 12 of the problems can be resolved today is
[tex]P(9\ or\ 12)=P(9)+P(12)[/tex]
[tex]P(9\ or\ 12)=0.1472+0.17[/tex]
[tex]P(9\ or\ 12)=0.3172[/tex]
c)Generally the equation for probability more than 10 of the problems can be resolved today is mathematically given by
[tex]P(X>10)=P(11)+P(12)+P(13)+P(15)[/tex]
Where
[tex]P(11)=\frac{15!}{11!(15-11)!*0.70^{11}*0.30^4}[/tex]
[tex]P(11)=0.2186[/tex]
[tex]P(13)=\frac{15!}{13!(15-13)!*0.70^{13}*0.30^2}[/tex]
[tex]P(13)=0.0916[/tex]
[tex]P(14)=\frac{15!}{14!(15-14)!*0.70^{14}*0.30^1}[/tex]
[tex]P(14)=0.0305[/tex]
[tex]P(15)=\frac{15!}{15!(15-15)!*0.70^{15}*0.30^0}[/tex]
[tex]P(15)=0.00475[/tex]
Therefore
[tex]P(X>10)=0.2186+0.0916+0.0305+0.00475+0.17[/tex]
[tex]P(X>10)=0.51545[/tex]
Which choice is equivalent to the quotient shown here when x2 0?
Answer:
Option A.
Step-by-step explanation:
√18x÷√32
√18x/√32
√18x/32
√9x/16
9 and 16 are perfect squares
=3√x/4.
Option A
3. Mrs Naidoo wants to buy a new kitchen cabinet on which she can place her new
microwave. Mrs Naidoo notices one advertised for R3 999,00. She decides to
save until she has enough cash to pay for the kitchen cabinet. She uses her
December bonus of R2 900,00 to deposit into her savings account where she
is offered 3,5% p.a. compound interest.
Determine if Mrs Naidoo will be able to afford the kitchen cabinet a year later if she
adds R960,00 to the saved amount.
please help
Answer:
thats about like ummm 69?
Step-by-step explanation: