Answer:
[tex]tan(60)+cot60)\\\sqrt{3} +\frac{1}{\sqrt{3} } \\\frac{3+1}{\sqrt{3} } \\\frac{4}{\sqrt{3} } *\frac{\sqrt{3} }{\sqrt{3} } \\\frac{4\sqrt{3} }{3}[/tex]
Hope it will help you a lot.
Step-by-step explanation:
Answer:
[tex]\dfrac{4\sqrt3}{3}[/tex]
Step-by-step explanation:
[tex]\pink{\frak{Given }}\Bigg\{ \sf \tan(60^o) + \cot(60^o)[/tex]
And we need to find out the value of given expression . As we know that the value of ,
[tex]\sf \longrightarrow tan 60^o = \sqrt3 [/tex]
And ,
[tex]\sf \longrightarrow cot 60^o = \dfrac{1}{tan60^o}=\dfrac{1}{\sqrt3} [/tex]
Substituting the values in the given expression ,
[tex]\sf \longrightarrow tan 60^o + cot 60^o\\[/tex]
[tex]\sf \longrightarrow \sqrt3 +\dfrac{1}{\sqrt3}\\ [/tex]
Take LCM as √3 and simplify ,
[tex]\sf \longrightarrow \dfrac{(\sqrt3)(\sqrt3) +1}{\sqrt3}\\[/tex]
Simplify ,
[tex]\sf \longrightarrow \dfrac{3+1}{\sqrt3}=\dfrac{4}{\sqrt3} [/tex]
Rationalize the denominator by multiplying numerator and denominator by √3 .
[tex]\sf \longrightarrow \dfrac{(4)(\sqrt3)}{(\sqrt3)(\sqrt3)} [/tex]
Simplify by multiplying ,
[tex]\sf \longrightarrow \boxed{\bf \dfrac{4\sqrt3}{3}} [/tex]
Identify the slope positive negative zero or undefined
Answer:
1) Positive
2) negative
3) Zero
4) undefined
5) positive
6) negative
Step-by-step explanation:
positive slopes are typically pointing up, from left to right. Negative slopes are the same, although they point downwards instead. Zero sloped are straight, horizontal lines. Their slopes, as the name suggests, is Zero. while undefined is just a straight vertical line.
Answer:
1. positive 2. negative 3. zero 4. undefined 5. positive 6. negative
what statement best describes the term 25x?
Answer:
its B
Step-by-step explanation:
What is the slope and Y intercept of the equation X=10
Answer:
Slope is undefined and y int does not exist
Step-by-step explanation:
x=10 means it will be a vertical line where x= 10 so the slope is undefined and since it is perfectly vertical, it will never touch the y axis.
-1/3 x -6/5 Branless?
A bean plant grows at a constant rate for a month. After 10 days, the plant is
25 centimeters tall. After 20 days, the plant is 45 centimeters tall.
Which equation models the height of the plant. y after x davs?
,,Answer:
Thus, the equation would be
y - 25 = 2(x - 10)
Option B is correct
Step-by-step explanation:
Given that the rate is constant, we would write the equation in the slope-intercept form, which is expressed as
y = mx + c
where
m represents slope, and it also represents the constant rate
c represents the y-intercept
The formula for calculating slope is expressed as
m = (y2 - y1)/(x2 - x1)
From the information given,
x represents the number of days
y represents height
Thus,
when x1 = 10, y1 = 25
when x2 = 20, y2 = 45
Substituting these values into the formula, we have
m = (45 - 25)/(20 - 10) = 20/10 = 2
We would find the y-intercept, c by substituting m = 2, x = 10 and y = 25 into the slope-intercept equation. We have
25 = 2 x 10 + c
25 = 20 + c
c = 25 - 20
c = 5
By substituting m = 2 and c = 5 into the slope-intercept equation, the equation models the height of the plant. y after x days is
y = 2x + 5
The options are written in point-slope form, which is expressed as
y - y1 = m(x - x1)
Thus, the equation would be
y - 25 = 2(x - 10)
Option B is correct
Answer:
b is correct just took the exam
Step-by-step explanation:
Please help me answer this question ASAP
Answer:
60 km
Step-by-step explanation:
the line is constant around 3
WHO HERE IS SMART IN MATH???
Answer:
I am here .........I am Albert Einstein grand son .......
I am very smart in math toooo.....
Answer:
why?
Step-by-step explanation:
do you need any help?
please help me, im not gonna beg, I just really need help? k?
For the unit rate, you are looking for how much one unit of something costs. Looking at the table, you'll see that 3 bottles of fragrance A costs $78. What you want to figure out is how much one bottle costs.
You can do this by taking the price and dividing it by how many there are.
78 ÷ 3 = $26
156 ÷ 6 = $26
234 ÷ 9 = $26
You can see that each bottle of fragrance A costs $26.
Now looking at the graph, you'll see that the line only lines up perfectly at 2 points: (1, 24) and (2, 48). This tells us that for each bottle of fragrance B, it costs $24.
Comparing the two, fragrance A will have the greatest unit rate.
Ten-twelfths of a wall is covered in a mural. Six-eighths of the mural is painted green. What fraction of the wall is painted green?
Answer:
so what we are trying to figure out is 10/12*6/8=x
x is the fraction of the wall that is painted green which is 5/8
Step-by-step explanation:
instead of using division, I used multiplication. 5/8 of the wall is green
How many different 11-letter words (real or imaginary) can be formed from the letters in the word PROBABILITY?
This is one single number. It's just a bit under 10 million
Delete the commas if necessary.
==================================================
Explanation:
If we could tell the repeated letters apart, then there would be
11*10*9*8*7*6*5*4*3*2*1 = 39,916,800
different ways to scramble up the letters.
However, we have 2 copies of b and 2 copies of i
So we have to divide by 2*2 = 4 to correct this overcounting
(39,916,800)/4 = 9,979,200
what is the negation of the statement "all summer days are muggy"
Answer:
What is the negation of the statement?
In Mathematics, the negation of a statement is the opposite of the given mathematical statement. If “P” is a statement, then the negation of statement P is represented by ~P. The symbols used to represent the negation of a statement are “~” or “¬”.
Step-by-step explanation:
Suta purrachina za waurdo
BRAINLIEST THANK YOU QUESTION ON PIC ARE THE TRIANGLES BELOW ACUTE OBTUSE OR RIGHT???
Answer:
Triangle A: Acute
Triangle B: Obtuse
Triangle C: Acute
Triangle D: Right
Step-by-step explanation:
Right angle: 90°
Acute angle: 0°-90°
Obtuse angle: 90°-180°
Simplify
12 2/3 + 5 1/4
Answer:
The answers are in the files
Step-by-step explanation:
have a good day!
What is the value of 3n + 2 when n = 4?
Answer:
14
Step-by-step explanation:
3(4)+2=
12+2=
14
Dr. Williams did an experiment where she gave half of her participants alcohol and half of her participants no alcohol. She then measured how long each participant could balance on one leg. The participants who received no alcohol are
Answer:
the control
Step-by-step explanation:
sh==Dr has to have something to compare the subjects to
What is the mean of these
numbers?
8, 12, 24, 13,4
Answer:
12.2
Step-by-step explanation:
Mean = average
8 + 12 + 24 + 13 + 4 =
61
61 / 5 =
12.2
Answer:
12.2
Step-by-step explanation:
Mean is the average number in a data set.
To find the mean:
Add up every data value in the data set.Divide by the total amount of data values.Add every data value:
8 + 12 + 24 + 13 + 4 = 61
Divide 61 by 5:
61 / 5 = 12.2
12.2 represents the mean of this data set.
Find the area of the quadrilateral DEFG.
Answer:
it's 56 because you times 8 and 7 together. I think
"Solve for the variables x, y, and z in each triangle."
I found some answers but I'm not entirely sure. Please help.
I got... but I'm not sure about x ...
[tex]z = 10[/tex]
[tex]y = 10 \sqrt{3} [/tex]
[tex]x = 2 \sqrt{3} [/tex]
Let O be the point on leg GK directly below the vertex at H.
Then triangles GOH and HOK are similar triangles, so that corresponding sides occur in a fixed ratio with one another. In particular,
GO/H.O = H.O/KO
5/x = x/15
x² = 75
x = √75
x = √(3 • 25)
x = 5√3
Solve for y and z using the Pythagorean theorem.
x² + 15² = y²
75 + 225 = y²
y = √300
y = √(3 • 100)
y = 10√3
x² + 5² = z²
75 + 25 = z²
z = √100
z = 10
Abdul's average speed is 30 mph in heavy traffic, and his average speed is 60 mph in light traffic. If he was in heavy traffic for 1 hour and light traffic for 3 hours, how far did Abdul travel?
A.
48 miles
B.
210 miles
C.
90 miles
D.
270 miles
Answer:
210
Step-by-step explanation:
add 30 with 60 multiplied by 3
10
Solve for X:
S
9x-3
С
Р.
R
124°
Q
197
Answer:
sum of 6
Step-by-step explanation:
MAke it count
Could I get some help on this please and thank you!
Answer:
60 students
Step-by-step explanation:
(See attached file below)
20% of a is 11. What is a?
Answer:
a=55
Step-by-step explanation:
This question is asking for you to find the whole (a), given a part (11). This can be done through multiplication. 20% is 1/5 of 100%. This means to find the whole number, you should multiply the part by 5. 11*5=55. So, a must equal 55.
We can check this answer by working backward. Do this by finding 20% of 55, and checking to see if it is 11. To find a percentage of a number, multiply that number by the percent in decimal form. So, 20% of 55 is equal to 0.2*55, which is 11. Therefore, the answer is correct.
Answer: A=55
Step-by-step explanation: 20% of A is 11. 20% of 55 is 11. 55=a
All you do is divide 11 by .2 (11/.2)
leonardo read that his reptile food should be given at a temperature of 72.5°F. He keeps the food in the freezer at –4°F. He has found that if he sets the food on his reptile’s hot rock, the temperature rises 8.5 degrees each hour. How many hours will it take for the reptile food to reach 72.5°F?
Answer:
9 hours
Step-by-step explanation:
13(6x – 5) – x = 13 – 2(x + 1
Answer:
Step-by-step explanation:
[tex]13(6x-5)-x=13-2(x+1)\\78x-65-x=13-2x-2\\77x-65=11-2x\\77x+2x=11+65\\x=76/79\\x=0.9620[/tex]
SOLVE ASAP Point theif = ban!
Answer:
x-25y-50
Step-by-step explanation:
simplifying an expression means getting rid of the parantheses and writing it in the simplest form
5([tex]\frac{1}{5} x-5y-10)[/tex]=
[tex]5*\frac{1}{5} x-5*5y-10*5\\x-25y-50[/tex]
Answer:
[tex]x-25y-50[/tex]
Step-by-step explanation:
[tex]5\left(\frac{1}{5}x-5y-10\right)[/tex]
[tex]5\cdot \frac{1}{5}x-5\cdot \:5y-5\cdot \:10[/tex] .......multiply 5 with everything inside the bracket
[tex]x-25y-50[/tex] ...........final answer.
Brent has a $400 console with a credit card that has 25% APR is minimum payment is $10 per month will he pay more and less than the original cost by the end of this payment?
Answer:
he will pay more
Step-by-step explanation:
in totoal he will pay 413.40 because apr is interest
his interest total will be 13.40$
help thank you but quick due date is soon
Answer:
If you reflect point x across the y axis, it will end up at (-1/2,0).
Step-by-step explanation:
HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP
Answer:
30º= 1:00
90º=9:00
60º=2:00
150º=5:00
(The 1:00 'o clock is 30º, right? The 2:00 o' clock is double the degrees, 60º, or 30+ 30= 60)
If Dominik completes a project by himself, it will take him 8 hours. Working with Katarina, it will take them 5 hours.
If they work together, what is the missing value from the table that represents the part of the project Dominik will complete?
Answer:
The part of the project Dominik will complete when they work together
= (5/8) of the entire work.
Have a good day!
What is the point-slope form of a line with slope -3 that contains the point
(10, -1)?
Answer:
y +1= -3(x -10)
Step-by-step explanation:
y -y1= m(x -x1)
y +1= -3(x -10)
