[tex]\tan 195^{\circ}\\\\=\tan\left(3 \times 90^{\circ} - 75^{\circ} \right)\\\\=\cot 75^{\circ}\\\\=\left(\tan 75^{\circ} \right)^{-1}\\\\= \textbf{[}\tan \left(30^{\circ} + 45^{\circ}\right) \right \textbf{]}^{-1}\\\\=\left(\dfrac{\tan 30^{\circ} +\tan 45^{\circ}}{1- \tan 45^{\circ} \cdot \tan 30^{\circ}} \right)^{-1}\\\\\\=\left( \dfrac{\dfrac 1{\sqrt 3}+1}{1- \dfrac 1{\sqrt 3}} \right)^{-1}\\\\\\=\left( \dfrac{\sqrt 3+1}{\sqrt 3-1}\right)^{-1}\\\\\\=\dfrac{\sqrt 3-1}{\sqrt 3 +1}\\[/tex]
[tex]=\dfrac{\left( \sqrt 3-1\right)^2}{\left( \sqrt 3+1\right)\left( \sqrt 3-1\right)}\\\\\\=\dfrac{3+1-2\sqrt 3}{3-1}\\\\\\=\dfrac{4-2\sqrt 3}{2}\\\\\\=2-\sqrt 3[/tex]
what is £15 reduced by 30%
Answer:
10.5
Step-by-step explanation:
10% = 1.5
1.5 x 3 = 4.5
4.5 = 30%
15 - 4.5 = 10.5
The data set below shows the weights of some puppies, in pounds, at a kennel:
10, 11, 12, 12, 13, 13, 14, 15, 15
Which histogram represents the data set?
Answer:
The second histogram. and this is because of the arrangement of data which is the puppies
Answer:
I think its A)
Step-by-step explanation:
Target 3: I can create or complete a table using equivalent ratios.
4. A wallpaper pattern has 6 stars for every 4 moons. How many stars would there be if there were 16
moons?
Stars
Moons
Answer:
24
Step-by-step explanation:
Remark
This can be done with a proportion which consists of 2 equal ratios. That's 4 parts total. If you know 3 of the parts, you can find the 4th.
Givens
Stars1 6
Moon1 4
Starts2 x
Moon2 16
Formula
stars1/moon1 = stars2/moon2
Solution
6/4 = x / 16 Multiply by 16
6 * 16/4 = x
Answer: 96/4 = 24
Consider the following diagram that displays a map of a set of circular running tracks in a park connected by a sidewalk that goes from point a on the circle that represents the outer track to the center of all the circles, k
more in the photo please help!
Answer:
Answer:
62.8 \: {m}^{2}62.8m
2
Step-by-step explanation:
Radius of outer circle = 6 m
Width of the track = 2 m
So, radius of inner circle = 6 - 2 = 4 m
Area of the track = Area of outer circle - Area of inner circle
\begin{gathered} = \pi {6}^{2} - \pi {4}^{2} \\ \\ = \pi( {6}^{2} - {4}^{2} ) \\ \\ = 3.14 \times (36 - 16) \\ \\ = 3.14 \times 20 \\ \\ = 62.8 \: {m}^{2} \end{gathered}
=π6
2
−π4
2
=π(6
2
−4
2
)
=3.14×(36−16)
=3.14×20
=62.8m
2
Find the 16th term in the geometric series where the first term is 6 and the
common ratio is 2.
Answer: The first term of a GP is 6 if it's common ratio is 2 find the 6th term
The nth term is ar^(n-1)
So, for your GP, the 6th term is 6*2^5 = ___
Step-by-step explanation: 10:2021
The value of 16th term in the geometric series is,
⇒ 6th term = 192
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
The first term is 6 and the common ratio is 2.
Hence, We can formulate;
⇒ nth term = arⁿ⁻¹
⇒ 6th term = ar⁶⁻¹
⇒ 6th term = ar⁵
⇒ 6th term = 6 (2)⁵
⇒ 6th term = 6 x 32
⇒ 6th term = 192
Thus, The value of 16th term in the geometric series is,
⇒ 6th term = 192
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At 8 a.m. Anne left Austin and headed south at 20 mph. At 10 a.m. Gene left from the same place and headed south on the same road. If Anne was 10 miles ahead by 4 p.m. on the same day, what was Gene's speed in mph
Using proportions, it is found that Gene's speed was of 25 miles per hour, as he was 30 miles faster over a period of 6 hours.
What is a proportion?A proportion is a fraction of a total amount.
At 8 a.m. Anne left Austin and headed south at 20 mph, hence when Gene left at 10 a.m., she was 40 mph ahead.
At 4 p.m., that is, 6 hours after Gene left, the distance was of 10 miles, that is, Gene was 30 miles faster in 6 hours, so the difference in the speeds is given by:
d = 30/6 = 5 mph.
Since Anne's speed is of 20 mph, Gene's is given by:
v = 20 + 5 = 25 mph.
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Maya is building a model of her city's downtown area. She is constructing part of an office building, as shown below. Each cube has an edge length of 1/6 foot.
The volume of the model building is cubic foot?
A.2/3
B.1/36
C.1/4
D.1/9
E.1/2
Answer:
B I think my bad if its wrong
Answer: the answer is e
Step-by-step explanation: 1 over 6 multiplied by 9 cubes will give 1.5 which is 1 over 2 . 4 cubes are the length and 2 the width and 3 height s o equal 9 . 9 times 1 over 6 equals 1.5 which is the last one. hope it helps buddy .
Please please give brainliest !!! Thanks .
What does 5 in = how many feet/foot?
Answer:
5/12
Step-by-step explanation:
Since 12 inches is one foot, the number has to be a fraction number. The answer is 5/12 feet.
could i get some help in next few minutes?
sketch is another part of question but not necessary
Answer:
a) - 8 and 2b) (- 3, - 75)Step-by-step explanation:
Given relation
y = 3x² + 18x - 48a)
Find its zero's
3x² + 18x - 48 = 0x² + 6x - 16 = 0x² + 8x - 2x - 16 = 0x(x + 8) - 2(x + 8) = 0(x + 8)(x - 2) = 0x + 8 = 0 ⇒ x = - 8x - 2 = 0 ⇒ x = 2b)
The vertex of qudratic function is determined at x = - b/(2a)
Applied to this relation, the x- coordinate of vertex is
x = - 18/(3*2) = - 18/6 = - 3Find its y- coordinate
y = 3(-3)² + 18(-3) - 48 = 27 - 54 - 48 = -75The vertex is (- 3, - 75)
Zeros:-
x=-8 and 2#Vertex
y=x²+6x-16y=x²+2(3x)-16+25-25y=x²+2(3x)+9-25y=(x+3)²-25Multiply 3 which we deduced
y=3(x+3)²-75Vertex (-3,-75)
What is the value of xin the figure below?
А
х
B5D
с
9
O A. V126
B. 45
O C. 70
D. 14
O E.
9
14
O F. 145
Answer: F
Step-by-step explanation:
RATIONAL NUMBERS
-2 4/5 - 6 2/15
Answer:
[tex]- \frac{134}{15}[/tex]
Step-by-step explanation:
[tex]-2\frac{4}{5} -6\frac{2}{15} =-\left( \frac{2\times 5}{5} +\frac{4}{5} \right) -\left( \frac{6\times 15}{15}+\frac{2}{15} \right)[/tex]
[tex]-2\frac{4}{5} -6\frac{2}{15} =-\left( \frac{10}{5} +\frac{4}{5} \right) -\left( \frac{90}{15}+\frac{2}{15} \right)[/tex]
[tex]-2\frac{4}{5} -6\frac{2}{15} =-\left( \frac{14}{5}\right) -\left( \frac{92}{15}\right)[/tex]
[tex]-2\frac{4}{5} -6\frac{2}{15} =-\left( \frac{42}{15}\right) -\left( \frac{92}{15}\right)[/tex]
[tex]-2\frac{4}{5} -6\frac{2}{15} =-\left( \frac{42+92}{15}\right)[/tex]
[tex]-2\frac{4}{5} -6\frac{2}{15} =- \frac{134}{15}[/tex]
[tex]-2\frac{4}{5} -6\frac{2}{15} =-8\frac{14}{15}[/tex]
Integrated math 1 homework
Answer:
I, III
Step-by-step explanation:
if there are 27 books and only 3 people at least one person must have read more than 7 books as if 3 people each read 7 books that would be 21 books which is less than 27
A ring-toss toy is composed of a rectangular prism on top of a cylinder. The rectangular prism is completely fill with water. The dimensions of the rectangular prism are shown in the diagram. ring toss toy
What is the volume of the rectangular prism in cubic centimeters?
Question 10 options:
A. 29 cm3
B. 480 cm3
C. 208 cm3
D. 90 cm3
Answer:
480 i think
Step-by-step explanation:
if not i sorry
1. you make a deposits of a 467,00 into an ordinary annuity earning 5.75.7. compounded moyenthly, how many deposits must you make so that you will have atleast & 196.000?
The Morgan family got their energy bill from Southwest Power Company which showed the following uses of energy, gas usage = 43 therms, electricity usage = 847 kw,
taxes and other charges = $1235. Given the information below, what was the total energy bill for the Morgan family Southwest Power Company has the following rates for
gas and electricity usage: Gas Baseline usage: 30 therms At or below baseline usage: S1 22 pertherm Above baseline usage: 51 52 pertherm Bedriaty Baseline usage
250 Kuh At or below baseline usage: 50 35 per Kah Above baseline usage: 50 51 per Kw
5451 94
$460 81
$469 05
5463 27
None of these choices are correct
ОООО
Answer:
Извини, чувак, но я написал это на русском, чтобы тратить твое время.
Step-by-step explanation:
Извини, чувак, но я написал это на русском, чтобы тратить твое время.
Pls Figure Out the question.
answer
cross multiply each of their estimate with 16 hours
(brainliest is gonna begiven answer correctly please) Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.
A cube-shaped bin has an edge length of 12 yard.
What is the volume of the container?
Enter your answer, as a fraction in simplest form, in the box.
Answer:
[tex]\sf V=\dfrac18\: \sf yd^3[/tex]
Step-by-step explanation:
Volume of a cube formula
[tex]\sf V=s^3[/tex]
where:
V = volumes = edge lengthGiven:
s = 1/2 yard[tex]\sf \implies V=\left(\dfrac12\right)^3[/tex]
Apply exponent rule [tex](\frac{a}{b})^c=\dfrac{a^c}{b^c}[/tex]
[tex]\sf \implies V=\dfrac{1^3}{2^3}[/tex]
[tex]\sf \implies V=\dfrac18\: \sf yd^3[/tex]
Volume:-
side³(1/2)³1/2³1/8yd³Mike is working on solving the exponential equation 74^x = 37; however, he is not quite sure where to start. Using complete sentences, describe to Mike how to solve this equation.
Answer:
Method 1
[tex]74^x = 37[/tex]
Take natural logs of both sides:
[tex]\implies \ln74^x = \ln37[/tex]
Apply the log power rule: [tex]\ln(a)^b=b \ln (a)[/tex]
[tex]\implies x\ln74 = \ln37[/tex]
Divide both sides by ln 74:
[tex]\implies \dfrac{x\ln74}{\ln74} = \dfrac{\ln37}{\ln74}[/tex]
[tex]\implies x= \dfrac{\ln37}{\ln74}[/tex]
[tex]\implies x=0.8389552282...[/tex]
Method 1
[tex]74^x = 37[/tex]
Take logs of base 74 of both sides:
[tex]\implies \log_{74}74^x = \log_{74}37[/tex]
Apply the log power rule: [tex]\log_am^n=n\log_am[/tex]
[tex]\implies x\log_{74}74= \log_{74}37[/tex]
Apply log of the same number as base rule: [tex]\log_aa=1[/tex]
[tex]\implies x= \log_{74}37[/tex]
[tex]\implies x=0.8389552282...[/tex]
Answer:
[tex]x = \log_{74}(37) [/tex]
Step-by-step explanation:
we want to solve the following exponential equation:
[tex] \iff {74}^{x} = 37[/tex]
Taking common logarithm of both sides yields:
[tex]\iff \log{74}^{x} = \log37[/tex]
recall that,
[tex] log( {a}^{x} ) = x log(a) [/tex]utilizing it yields:
[tex] \iff x \cdot\log{74} = \log37[/tex]
divide both sides by log74:
[tex]\iff \dfrac{ x \cdot\log{74}}{ \log(74)} = \dfrac{ \log37}{ \log(74) }[/tex]
remember that,
[tex] log_b( {a} ) = \frac{log(a)}{log(b)} [/tex]
hence,
[tex]x = \boxed{ \log_{74}(37)} [/tex]
the temperature was 8 degrees at noon. by 11 p.m., it had dropped 12 degrees. How was the temperature at 11 p.m.
Use Substitution to solve each system of equations.
Answer:
x = -3
y = -2
(-3, -2)
Step-by-step explanation:
x - 7y = 11
5x + 4y = -23
-----------------------
-5 (x - 7y = 11)
-5x + 35y = -55
--------------------------
-5x + 35y = -55
5x + 4y = -23
39y = -78
÷39 ÷39
y = -2
-----------------------------
x - 7y = 11
x -7(-2) = 11
x + 14 = 11
-14 -14
x = -3
I hope this helps!
How to calculate percentage profit?
Answer:
Profit/Cost Price*100
Step-by-step explanation
Calculated by working out the difference between the cost price and the selling price, which is then divided by the original price and multiplied by 100, giving you a percentage. Cost price is the original price for good which the retailer has bought for.
Write an equation to find the value of x and solve it. Round your answer to the nearest tenth if necessary.
x =
Write your equation and explain how you came up with your equation and how you solved it. What concepts apply to this problem? How do you know your answer is correct?
Answer:
x = 3
Step-by-step explanation:
If two secant segments intersect outside a circle, then the product of one secant segment with its external portion equals the product of the other secant segment with its external portion.
[tex](x + 9)(9) = (12 + 6)(6)[/tex]
[tex]9x + 81 = 108[/tex]
[tex]9x = 27[/tex]
[tex]x = 3[/tex]
What’s the following sum?
[tex] \huge{ \orange{ \boxed{ \bold{6 \sqrt{5} }}}}[/tex]
EXPLAINATION :
By following the rule in finding the sum or difference of similar radicals
[tex] \green{a \sqrt{c} \: + \: b \sqrt{c} \: = (a + b) \sqrt{c} }[/tex]
Answer:
3.73
Step-by-step explanation:
If the graph of f '(x) has an X-intercept at x = C, which of the following must be true?
A. The graph off has a relative minimum or relative maximum at x = C.
B. The graph off has an inflection point at x = C.
C. The graph off has an x-intercept at x = C.
D. None of the above is necessarily true.
Answer: D
Step-by-step explanation:
f'(C) = 0 ⇒ There is a critical point here
There could be a relative max or min here, but since we do not know if f''(x) is positive or negative, we cannot be sure if the function is truly changing from positive to negative or vice versa. "C" could simply be at a horizontal tangent of a function like x³.
Let's Apply Solve for the surface area of the following figures.
Answer:
1. 864in^2
2. 331.2581cm^2
3. 201.0619m^2
4. 516.548m^2
5. 2827.4334mm^2
Three shelves contain a total of 88 DVD's. The first and second shelves contain a total of 54 DVD's.The second and third shelves contain a total of 57 DVD's.The first and third shelves contain a total of ____ DVD's.
Answer:
Either 27 or 55
If right please make brainleist for others to learn from this answer thanks!
Step-by-step explanation:
Answer:
x=31, y=23, z=34
Step-by-step explanation:
The first shelf is x. The second shelf is y. The third shelf is z.
x+y=54.
y+z=57
x+y+z=88
You can substitute 54 in for x+y in the third equation to solve for z.
54+z=88
Subtract 54
z=34
Now that you know z, substitute it in in the second equation.
y+34=57
y=23
Finally, substitute the known y value into the first equation.
x+23=54
x=31
2. True or false? You can only use graphing find the solution to a system of equations if all
the equations are linear.
True
False
Answer:
False
Step-by-step explanation:
Graphing tells you where the solution of the system, or graph intersection occurs no matter what. You can have a quadratic and exponential function -- graphing will always show you where they intersect (or don't!)
BRAINLIEST please if this helped!Answer:
false
Step-by-step explanation:
hope this helps
Which choice (letter)
Kara, who lives in Canada, plays a popular online video game where every round has a winner. Her best streak is 212121 wins in a row, and she wonders how that compares to other players. The game's website has a worldwide leaderboard of players with the longest win streaks for each month. Kara finds that the top 200200200 longest streaks in the world in June had an average of about 636363 wins in a row.
For which population is 636363 wins a legitimate estimate of the average longest streak?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Only the top 200200200 longest streaks worldwide in June
(Choice B)
B
Only the top 200200200 longest streaks in Canada in June
(Choice C)
C
Only the top 200200200 longest streaks worldwide from all time
(Choice D)
D
Only the top 200200200 longest streaks in Canada from all time
(Choice E)
E
The longest streaks for all players worldwide in June
Report a problem
3 of 7
Answer:
Choice A
Step-by-step explanation:
End of the question states it, and I did it on Khan :)
Kara finds that the top 200200200 longest streaks in the world in June had an average of about 636363 so option (A) will be correct.
What is mean?The mean is the average of a data set. Mean gives us the idea of that how much amount of overall data have.
In other words, the mean is the foundation of the deviation of data from all data sets.
Mean = sum of data / Number of data
For example, if you have marks in 5 subjects like 40,45,44,46,48 then the mean will be
( 40 + 45+ 44 + 46 + 48) /5 = 44.6.
Given that,
Kara finds that the top 200200200 longest streaks in the world in June had an average of about 636363 wins in a row
It means the top 200200200 longest streaks worldwide in June have an average longest streak of 636363.
Hence " Kara finds that the top 200200200 longest streaks in the world in June had an average of about 636363".
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explain what is a acute
Answer:
If you meant acute angle, an acute angle is an angle less than 90 degrees, normally greater than or equal to 15 degrees. Acute angles come in many forms.
__________________________________________________________
Questions?Ask in comments.
Answer:
an acute is a type of angle I am learning acute in a 12:15 class
Step-by-step explanation:
One positive integer is 7 less than twice another. The sum of their squares is 433. Find the integers.
Answer:
This is the correct answer
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE