Answer:
[tex]m=3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1, 7)
Point (-3, 1)
Step 2: Solve for x
Substitute [SF]: [tex]m=\frac{1-7}{-3+1}[/tex]Subtract/Add: [tex]m=\frac{-6}{-2}[/tex]Divide: [tex]m=3[/tex]In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°. Find the length of k, to the nearest inch.\
Given:
In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.
To find:
The length of k, to the nearest inch.
Solution:
According to Law of sine,
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
In ΔKLM, using law of sine, we get
[tex]\dfrac{k}{\sin K}=\dfrac{l}{\sin L}[/tex]
[tex]\dfrac{k}{\sin (55^\circ)}=\dfrac{48}{\sin (46^\circ)}[/tex]
[tex]k=\dfrac{48\times \sin (55^\circ)}{\sin (46^\circ)}[/tex]
On further simplification, we get
[tex]k=\dfrac{48\times 0.819152}{0.7193398}[/tex]
[tex]k=\dfrac{39.319296}{0.7193398}[/tex]
[tex]k=54.66025 [/tex]
Approximate the value to the nearest inch.
[tex]k\approx 55 [/tex]
Therefore, the length of k is 55 inch.
The length of k, to the nearest inch is ∠K=55°.
Calculation of the length of K:
Since
In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.
Now here we apply law of sine
[tex]a\div sin\A = b\div sin\ B = c\div sin\c \\\\k\div sin \ k = l\div sin\ L\\\\k\div sin\ 55 = 48\div sin\ 66[/tex]
k = 54.66
k = 55 degrees
hence, The length of k, to the nearest inch is ∠K=55°.
Learn more about length here: https://brainly.com/question/2527688
Population of California in the year 1995 was 32 million. If the population grows at a rate of 2%, what will the population be in 2025?
Answer:
hi 51.2 is the answer
Step-by-step explanation:have a good day.
The population of California in the year 2025 is approximately 57.96 million.
To calculate the population of California in 2025, we need to use the population growth formula:
Population in the future = Population in the present * [tex](1 + Growth rate)^{Number of years}[/tex]
Given:
Population in 1995 = 32 million
Growth rate = 2% = 0.02 (in decimal form)
Number of years = 2025 - 1995 = 30 years
Now, let's calculate the population in 2025:
Population in 2025 = 32 million * (1 + 0.02)³⁰
Population in 2025 ≈ 32 million * (1.02)³⁰
Population in 2025 ≈ 32 million * 1.8114
Population in 2025 ≈ 57.9648 million
Therefore, the population of California in the year 2025 is approximately 57.96 million.
To know more about population:
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FL Standards
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Eighth grade
Y.8 Write a linear equation from a slope and y-intercept WHP
Learn with an example
A line has a y-intercept of -5 and a slope of 5. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y =
Submit
I would appreciate if someone answered this it’s due in 15 mins and I’m scared cause it’s a big part of my grade I will give a brainlist to whoever answers it correctly
Answer:
MP=18
Perimeter of ∆LMP=42
Answer:
MP= 18
Perimeter is 42
Step-by-step explanation:
The midsegment is always half of the third side
LP=LO/2
LP=15
18+15+9=42
add then simplify if possible 1/2 + 2/5
Answer:
9/10 and it can't be simplified
Step-by-step explanation:
BRAINLIEST PLEASE
Answer:
9/10
Step-by-step explanation:
1/2 = 5/10
2/5 = 4/10
5/10+4/10= 9/10
PRE-CALC
khalid invests $500 in an account that earns 1.5% interest per year, compounded annually. Which of the following is formed by the amount in his account from year to year?
an arithmetic series
an arithmetic sequence
a geometric series
a geometric sequence
For your question: "Khalid invests $500 in an account that earns 1.5% interest per year, compounded annually. Which of the following is
formed by the amount in his account from year to year?"
The geometric sequence is formed.
Answer:
d
Step-by-step explanation:
pls help will give brainlist
Answer:
you make 15 birdhouses, your friend makes 30.
Step-by-step explanation:
Which statement(s) about the line below are true? Select all that apply.
A salesperson sold 20 cars last month. Seven of the cars sold were red. What percent of the cars sold were red?
help lol i need good help-
Answer:
with what
Step-by-step explanation:
47 Which table contains only values that satisfy the equation y = 0.5x + 14?
Х
y
х
y
0
0
014
5
35
A
5 16.5
С
10
70
10 19
15
105
15 21.5
20
140
20 24
Х
y
Х
y
0
14
0
5
39
B
5
14.5
D
10
64
10
15
15
89
15
15.5
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
help neededddd:))))))....
Answer:
Your answer is 3.
Step-by-step explanation:
I hope this helped.
NEED HELP RIGHT NOW!!!
Over 10 days it snowed 80 inches, how much did it snow in 1 day?
Answer:
8
Step-by-step explanation:
Answer:
0.125
Step-by-step explanation:
How many people in this town speak Creole?
In a town of 800 people, 5% of them speak Creole
(a)
Answer:
Answer:
40
Step-by-step explanation:
uppose a computer animator has worked on 56 projects. If the ratio of video games to all other projects is 5:9, how many projects are video games?
Answer:
Number of video game = 20
Step-by-step explanation:
Given:
Total number of project = 56
Ratio = 5:9
Find:
Number of video game
Computation:
Number of video game = 56[5/(5+9)]
Number of video game = 56[5/(14)]
Number of video game = 280 / 14
Number of video game = 20
6.258 rounded to the nearest hundredth
Answer:
6.26
Step-by-step explanation:
Integer Part: 6
Fractional Part: 258
If the last digit in the fractional part of 6.258 is less than 5, then simply remove the last the digit of the fractional part.
If the last digit in the fractional part of 6.258 is 5 or more and the second digit in the fractional part is less than 9, then add 1 to the second digit of the fractional part and remove the third digit.
If the last digit in the fractional part of 6.258 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is less than 9, then add 1 to the first digit in fractional part and make the second digit in fractional part 0. Then remove the third digit.
If the last digit in the fractional part of 6.258 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is 9, then add 1 to the integer part and make the fractional part 00.
With 6.258, rule B applies and 6.258 rounded to the nearest hundredth is 2.26
Complete the product of: 0.25 x 2 =
A. 0.75
B. 0.50
C. 1.50
D. 0.20
С C
Answer:
B is the answer for the question
5 What is the value of m? Show your work 3 5 (2m - 5) = 2(3m - 4)
Answer:
70m-175=6m-12
70m-6m=175-12
64m=163
m=163/64
Salvador bought 6 lbs of coffee for $18.66. What is the unit price per pound?
Answer:
$3.11
Step-by-step explanation:
It is given that,
Salvador bought 6 lbs of coffee for $18.66.
We need to find the unit price per pound.
The unit price per pound is calculated by dividing total cost by 6 as follows :
[tex]C=\dfrac{18.66}{6}\\\\=\$3.11[/tex]
Hence, the unit price per pound is $3.11
Write the number that is two hundred thousand greater than: 2,136,280
Answer:
400 points for you
Step-by-step explanation:
What number does E represent?
30 pointsssss help meeeee
Pls hurry don’t make long paragraphs
Answer:
i think its c
but im not sure
Step-by-step explanation:
If a circle has a diameter of two what would the area be
Answer:
3.14
Step-by-step explanation:
d=2
A= pi*r^2 = pi*(d/2)^2 = pi*(2/2)^2= pi*1 =pi =3.14
Mrs. Anders gave her class 15 minutes to read. Courtney read 8 ½ pages in that time. At what rate, in pages per hour, would Courtney read?
Answer:
34
Step-by-step explanation:
15 mins is 1/4 od an hour so mulitply 8 1/2 (8.5) x 4
Answer:
First we figure out how many words in total she has to read.
This would be the (number of pages) times (number of words per page).
820 * 350 = 287000
so she has to read 287000 words
we divide this by 110 to get how long it would take for her to finish (in minutes)
287000 / 110 = 2609.09090909....
then since there are 60 minutes in an hour, we divide that number by 60
2609.09090909... / 60 = 43.48484848...
Therefore it would take her about 43.5 hours to complete her assignment.
Step-by-step explanation:
State whether the lines are parallel, perpendicular,or neither.
1) y = 6х - 3 2) y = 3x + 2 3) 8x - 2y = 3
y = - 1/6x + 7 2y = 6x - 6 x + 4y = - 1
4) 3x + 2y = 5 5) y - 5 = 6x 6) y = 3x + 9
3y + 2x = -3 y - 6x = -1 y = 1/3x - 4
Answer:
Please check the explanation.
Step-by-step explanation:
Two lines are parallel if their slopes are equal.Two lines are perpendicular if the product of their slope is -1We also know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
Given the lines
1)
y = 6х - 3Comparing with y=mx+b, the slope of y = 6х - 3:
m₁=6
y = - 1/6x + 7Comparing with y=mx+b, the slope of y = - 1/6x + 7:
m₂=-1/6
As
m₁ × m₂ = -1
6 × - 1/6 = -1
-1 = -1
Thus, the lines y = 6х - 3 and y = - 1/6x + 7 are perpendicular.
2)
y = 3x + 2Comparing with y=mx+b, the slope of y = 3x + 2:
m₁=3
2y = 6x - 6simplifying to write in slope-intercept form
y=3x-3
Comparing with y=mx+b, the slope of y=3x-3:
m₂=3
As the slopes of y = 3x + 2 and 2y = 6x - 6 are equal.
i.e. m₁ = m₂ → 3 = 3
Thus, the lines y = 3x + 2 and 2y = 6x - 6 are paralle.
3)
8x - 2y = 3simplifying to write in slope-intercept form
y = 4x - 3/2
Comparing with y=mx+b, the slope of y = 4x - 3/2:
m₁=4
x + 4y = - 1simplifying to write in slope-intercept form
y=-1/4x-1/4
Comparing with y=mx+b, the slope of y=-1/4x-1/4:
m₂=-1/4
As
m₁ × m₂ = -1
4 × - 1/4 = -1
-1 = -1
Thus, the lines 8x - 2y = 3 and x + 4y = - 1 are perpendicular.
4)
3x+2y = 5simplifying to write in slope-intercept form
y = -3/2x + 5/2
Comparing with y=mx+b, the slope of y = -3/2x + 5/2:
m₁=-3/2
3y + 2x = - 3simplifying to write in slope-intercept form
y = -2/3x - 1
Comparing with y=mx+b, the slope of y = -2/3x - 1:
m₂=-2/3
As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.
5)
y - 5 = 6xsimplifying to write in slope-intercept form
y=6x+5
Comparing with y=mx+b, the slope of y=6x+5:
m₁=6
y - 6x = - 1simplifying to write in slope-intercept form
y=6x-1
Comparing with y=mx+b, the slope of y=6x-1:
m₂=6
As the slopes of y - 5 = 6x and y - 6x = -1 are equal.
i.e. m₁ = m₂ → 6 = 6
Thus, the lines y - 5 = 6x and y - 6x = -1 are paralle.
6)
y = 3х + 9Comparing with y=mx+b, the slope of y = 3х + 9:
m₁=3
y = -1/3x - 4Comparing with y=mx+b, the slope of y = 1/3x - 4:
m₂=1/3
As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.
HELP OR NO PRESENTS FOR YOU
Answer:
g= (9,8) f= (-5,1)
Step-by-step explanation:
you're welcome =)
Need help due in less than a hour!
i don't know how to explain it I can just tell you that 7 is (1,5) 8 is (1,40) 9 is (-16,-7) and 10 is (8,5)
You can work a total of no more than 10 hours each week at your two jobs. Housecleaning pays $7.50 per hour that you clean and your retail job pays $10.00 an hour. You need to earn at least $56 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours that you can work at each job and still pay your bills.
Answer:
[tex]c + r \leq 10[/tex]
[tex]7.5c + 10r \geq 56[/tex]
Step-by-step explanation:
Given
Hours = not more than 10
Earnings = At least 56
Required
Represent this as a system of inequalities
Let c represents the cleaning job
Let r represents the retail job
The number of hours
Not more than means [tex]\leq 10[/tex]
So:
[tex]c + r \leq 10[/tex]
Earnings
c = 7.50 per hour
r = 10 per hour
Earnings = At least 56
At least 56 means [tex]\geq 56[/tex]
So;
[tex]7.5c + 10r \geq 56[/tex]
Hence, the system is:
[tex]c + r \leq 10[/tex]
[tex]7.5c + 10r \geq 56[/tex]