Answer:
Step-by-step explanation:
We have tanπ3=−tan2π3=tan4π3=3–√
Since tan(3x)=3tanx−tan3x1−3tan2x
Thus tanπ/9,−tan2π/9,tan4π/9are solutions to the polynomial 3–√=3x−x31−3x2
On simplication, x3−33–√x2−3x+3–√=0.(1)
Since (tanπ9−tan2π9+tan4π9)2
=tan2π9+tan22π9+tan24π9
+ 2( -tanπ9tan2π9+tanπ8tan4π9−tan2π9tan4π9)
By sum and product pairs of roots in (1) above
(−33–√)2=tan2π9+tan22π9+tan24π9+2×−3
∴tan2π9+tan22π9+tan24π9=33
Find the value of x.
Answer:
98 °
Step-by-step explanation:
We know that the sum of the angles in a triangle is 180. We also know that angle DAB is 122°, meaning that angle CAB is 180-122, which is 58°. We also know that angle CBA is 24 degrees. Therefore, angle x is just 180-(58+24), which is 98
Each of the letters in the word MONASTIC are on separate cards face down on the table. If you pick a card at random, what is the probability that the letter on it will be "A"?
show work pls!
Answer:
1/8 = 12.5%
Step-by-step explanation:
There are 8 letters in the word MONASTIC. One of the letters is A.
So the probability is 1/8, or 12.5%.
Please answer CORRECTLY !!!!!!!!!!! Will mark BRIANLIEST !!!!!!!!!!!!!
Answer:
Option C
Step-by-step explanation:
f(x)= x²-9 ⇒ It has roots 3 and -3g(x) has roots 2 and 10 as per the graphCorrect answer is option C
William’s salary is £24 000
His salary increases by 4%.
Work out William’s new salary.
£ ............................
What is 1 10/21 + 4 5/7 these are fractions btw
Answer:
Exact form:
130/21
Decimal form:
6.190476 (repeating decimal)
Mixed number form:
6 4/21
i need help good explanation and answer for more points
Let's start with sectioning off the little squares on the left that are jutting out of the top and bottom. Both of the squares are C*E, so multiply C*E twice to get the area of those little squares. That comes out to 12 feet.
Next is the main quadrilateral, the big one. You have to cut it off at the point the triangle starts to slope, so the end fo B.
But you also have to get the left part, so you have to add the length of C to the length of B to get the length of the quadrilateral. A encompasses the entire height, but not the part we want, because we already isolated those little squares. To get the height, just subtract the two E parts. The height is 6. The length is 8 feet. Multiply and get 48.
Add that to the previous 12 feet calculated to get 60.
Next, the triangle. The height is A, but only with one E. So subract the other E to get a height of 9. The length is D, but you have to subract B because that is part of the earlier quadrilateral. That makes it 9.
The formula for a triangle is height * length / 2. So, plug in the numbers-- 9 * 9 / 2
81/2
40.5.
Add to the previous 60 we got and that makes 100.5 square feet.
Hope this helped!
Find the volume of a cone with a height of 9 cm and a base of 5 cm
Answer:
V=πr2h
3
Step-by-step explanation:
Answer:
15 cm³
Step-by-step explanation:
The formula for the volume of a cone is:
V = πr²h /3
where r is the radius and h is the height
Let's substitute the given values into this equation:
V = πr²h /3
(Remember that the base of a cone is a circle and the formula for the area of a circle is πr²)
V = πr²h /3
V = (5)(9/3)
Solve:
V = (5)(9/3)
V = (5)(3)
V = 15
Therefore, the volume of the cone is 15 cubic centimeters.
The scatter plot shows the time spent studying compared to test scores for Mr. Stone’s eighth-grade class. Predict the score that a student would earn if she studied for 7 hours. Round your answer to the nearest whole number. Enter your answer in the box.
Answer:
80 (I think)
Step-by-step explanation:
I would just go to x=7 and look up until i reach the line of best fit. The intersection is at y=80
The score of student is 80 marks if she studied for 7 hours.
Given,
The scatter plot shows the time spent studying compared to test scores for Mr. Stone’s eighth-grade class. From the plot it is clear that time is shown on x axis and test scores is shown on Y axis.
We have to predict the score that a student would earn if he studied for 7 hours.
Here look at the Scatter plot we find that 7 hours is on x axis and the respective line of best fit of test score is passing through score 80.
Hence if a student is studied for 7 hours he would earn 80 marks.
For more details on scatter plot follow the link below:
https://brainly.com/question/2659237
Please help will give brainist
Answer:
80 & 105
Step-by-step explanation:
A dining set is priced at $785. If the sales tax is 7 percent, what is the cost to purchase the dining set? Round to the nearest cent if necessary
Answer:
$839.95
Step-by-step explanation:
The dining set costs 785.
The sale tax is 7%
This means that the tax costs 7% of 785.
Sales tax: 785*0.07=54.95
Add to original price to find the total price.
54.95+785=839.95
The cost to purchase the dining set is $839.95
Answer:
835.95
Step-by-step explanation:
FOR 14 points! A group of friends are going to see the newest action movie. The price of a ticket is $6.25. As a group, they spent $12 on refreshments. If they spent a total of $30.75 on tickets and refreshments, how many people went to the movies? Which equation represents the scenario? How many people went to the movies?
x = number of people went to movies
equation
6.25x + 12 = 30.75
6.25x = 30.75 - 12
6.25x = 18.75
x = 18.75 / 6.25
x = 3
answer
3 people
Answer:
6.25x + 12 = 30.75
3 people
Step-by-step explanation:
What is the value of (16^3/2)^1/2
Answer:
8
Step-by-step explanation:
(16^3/2)^1/2
We know that a^ b^c = a^(b*c)
16 ^(3/2*1/2)
16 ^3/4
Now rewriting 16 as 2^4
2^4^3/4
2 ^ (4*3/4)
2^3
8
what is the sum of this expression. 4 3/8 + 7 3/4
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
[tex]\frac{97}{8}[/tex]
I need 1-5 and 8 and 9 solved
Answer:
1. A
2. H
3.B
4. H
5. A
Those are the answers
Step-by-step explanation:
1. 30 - 2(-8)= 46
2. BODMAS applied 6-7 =-1
3. 45/-5=-9
4. Sum is h +73
5.BODMAS applied 60 /6 = 10
which of the following functions is graphed below?
8. ¿Cuál es la media de las calificaciones de los alumnos de quin-
to grado?
9, 9, 6, 8, 7, 9, 7, 6, 8,9, 8, 6, 7
a) 6.98
b) 7.75
c) 7.61
d) 9.03
I NEED HELP. THIS IS ABOUT SCATTER PLOTS PLEASE PROVIDE AN EXPLANATION!! HELPPPPPPPP
Answer:
A y = -3/4x + 6
Step-by-step explanation:
We know that the plot decreases from left to right so the slope is negative
That eliminates choices B and D
We also know that the y intercept is between 5 and 8
That eliminates choice C
Hey can someone help please Whatb is the value of the 8 in 873 119
A given line has the equation .
What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)?
Answer:
y=6x+9Step-by-step explanation:
The question is incomplete. find the complete question below;
A given line has the equation 2x + 12y = −1. What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)? y = ( )x + 9
The equation of a line is represented as y = mx+c where m is the slope and c is the intercept. our ficus is to get both the slope and the intercept and then substitute then into the equation of the line.
First let us get the slope of the known line:
Rewriting the equation 2x + 12y = −1 in its standard form, we have;
12y = -2x-1
y = -1/6 x - 1/12
the slope of the line is -1/6
Since this line is perpendicular to the unknown line, the slope of the unknown line say M = -1/(-1/6) = 6
For the intercept
we will substitute the point (0,9) and the slope M = 6 into the equation
y = Mx+c to get the value of the intercept.
9 = 6(0)+c
c = 9
Finally, we will find the equation of the line perpendicular to the given line using the equation y = mx+c
Substituting m = 6 and c = 9 into the equation, we have y = 6x+9 or y-6x = 9
The unknown equation in slope intercept form is y=6x+9
The new equation of the perpendicular line is y = 6x + 9.
The slope of the lineThe slope of the line is determined from the given equation of the line.
[tex]2x + 12 y = -1\\\\12y = -1 - 2x\\\\y = \frac{-1}{12} - \frac{2x}{12} \\\\y = \frac{-1}{12} - \frac{x}{6}\\\\M = \frac{-1}{6}[/tex]
The slope of the perpendicular line[tex]M_1 = \frac{-1}{M} = \frac{-1}{-1/6} = 6[/tex]
The new equation of the perpendicular line[tex]y = mx + c\\\\9 = 6(0) + c\\\\9 = c\\\\y = 6x + 9[/tex]
The complete question is below:
A given line has the equation 2x + 12y = −1. What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)? y = ( )x + 9
Learn more about equation of line here: https://brainly.com/question/13763238
the value of 1.666.. in the form p/q is ?
Answer:
15/9
Step-by-step explanation:
let the recurring decimal be (n)
we need to find a number that will subtract the number to remove the decimal
the nearest number is 16.666...
because the decimal has moved one step ahead, we will call the new number (10n)
16.666 - 1.666 = 15.
10n - n = 9n.
=15/9
Howard needs new gutters for the front and both sides of his home. The front of the house is 50 ft 8 in., and each side is 22 ft 9 in. Wide. What length of gutter must he buy?
Answer:
95 ft 10 in
Step-by-step explanation:
We need to add the lengths of the front of the house and both sides of the house:
50 ft 8 in + 2(22ft + 9in)
= 50ft + 8 in + 44ft + 18in
= 94ft + 22in
12 inches = 1 foot
22 inches = 1 ft 10 in
Therefore, the length of the gutter he must buy must be:
94 ft + 1 ft + 10 in
= 95 ft 10 in
If f(x) = 3x - 2 and g(x) = x2 +1, find (*+g)(x).
A. x2 + 3x-1
B. x2 +3x+1
C. 4x7-1
D. 2x+3
Answer:
A
Step-by-step explanation:
square root of 0.8722 by division method
This is not a perfect square
A data set consists of the following data points:
(2,4),(4,7), (5,12)
The line of best fit has the equation y = 2.5x - 1.5. What does
predict for a value of x = 3?
O
A. 7.5
B. 6
C. 10.5
O D. 9
SUSMIT
< PREVIOUS
Answer:
B. 6.
Step-by-step explanation:
When x = 3 the prediction is 2.5(3) - 1.5
= 6.
The value of y at x = 3 is,
⇒ y = 6.0
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
A data set consists of the following data points:
⇒ (2, 4),(4, 7), (5, 12)
And, The line of best fit has the equation;
⇒ y = 2.5x - 1.5.
Now, At x = 3;
⇒ y = 2.5x - 1.5.
⇒ y = 2.5 × 3 - 1.5.
⇒ y = 7.5 - 1.5
⇒ y = 6.0
Thus, The value of y at x = 3 is,
⇒ y = 6.0
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
The surface area of a cone is given by the formula S = pi*t + pi * r ^ 2 the formula for LSlant height ( l = S - r ^ 2 l = S + r ^ 2 0 l = s/pi - r ^ 2 0 l = 5/pi + r ^ 2
Answer:
[tex]l = \frac{S}{\pi r} - r[/tex]
Step-by-step explanation:
Given the surface area of a cone expressed as S = [tex]\pi r^{2} +\pi rl[/tex] where r is the radius of the cone and 'l' is its slant height. To find the slant height from the formula, we will make l the subject of the formula as shown;
[tex]S = \pi r^{2} + \pi rl\\S = \pi r (r + l)\\\frac{S}{\pi r} = r+l\\l = \frac{S}{\pi r} - r\\[/tex]
The final expression gives the value of the slant height.
Answer: l=s/3.14-r2
Step-by-step explanation:
did it on Edg and the 3.14 i’d supposed to be the symbol for pi hope it helps :)
What is the area?
7 m
4 m
square meters?
Answer:
28 square meters
Step-by-step explanation:
7 x 4= 28
28 square meters
if a=3/6 and b=-3/-5 find -3a+4b
Answer:
Step-by-step explanation:
-3(3/6) + 4(3/5)
-3(1/2) + 4(3/5)
-3/2 + 12/5
-15/10 + 24/10
9/10
Harry's soccer team is trying to raise $2520 to travel to a tournament in Florida, so they decided to host a pancake breakfast. Each person must pay $15 for the breakfast. How many people need to attend their breakfast in order to raise $2520?
Answer: 168 people have to attend
Step-by-step explanation: 2520÷15= 168...just divide it to get it, if it help pls mark as brainliest ^-^, Thank you!
Q5. Find the simple interest on $950 at 6% per annum for three years.
Answer:
$171
Step-by-step explanation:
=PRN
950×0.06×3
hope this helps and makes sense :))
Answer:
$171
Step-by-step explanation:
SI=950×6×3/100
=$171
HOPE IT HELPS
BRAINLIEST!!! Divide. (See image.)
Answer:
Step-by-step explanation:
x-6)3x²-24x+35 (3x-6
3x²-18x
- +
__________
-6x+35
-6x +36
+ -
________
- 1
_________
quotient=3x-6
remainder=-1
