Step-by-step explanation:
Divide both sides by cosine to get:
[tex] - 4tan(x) = 5[/tex]
Divide both sides by -4 to get:
[tex]tan(x) = - \frac{5}{4} [/tex]
Take the arctangent of both sides to get:
[tex]x = arctan( - \frac{5}{4} )[/tex]
Plus any integer rotation of pi (180 degrees)
You roll a die repeatedly, stopping when you roll a 1. Your score is the sum of values of all your rolls. What is the expected score
Using the binomial distribution, it is found that the expected score of the game is of 21.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected number of trials until q successes is:
[tex]E_s(X) = \frac{q}{p}[/tex]
In this problem, a die has a p = 1/6 probability of resulting in a 1, hence the expected number of trials is:
[tex]E_s(X) = \frac{1}{\frac{1}{6}} = 6[/tex]
In each trial, each outcome from 1 to 6 is equally as likely, hence the expected score of a single trial is given by:
[tex]E = \frac{1 + 6}{2} = 3.5[/tex]
Then, the expected score of the six trials is:
6 x 3.5 = 21.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
Help immediate!! Find the value of
x
xx in the triangle shown below.
x
=
x=x, equals
∘
∘
degrees
Help please hurry too!!!!
Answer:
false
Step-by-step explanation:
13. The photo below is being enlarged to form a 24-by 30-inch print. What is the scale factor being used to enlarge it?
Answer:
6
Step-by-step explanation:
24/4 = 6
30/5 = 6
Dividing the values of the larger print by the corresponding values of the smaller print results in a scale factor of 6
Derek is hang gliding on a clear day at an altitude of a feet. His visibility, v, is 67.1 mi. Use the formula v = 1.225 to find the altitude at which Derek is hang gliding.
Step-by-step explanation:
since the equation is v = 1.225 × sqrt(a)
we can plug in the known values to find the altitude.
so:
(67.1/1.225)^2 = a
a = 3000
Base on the visibility formula v = 1.225√a, the altitude at which Dereck is hang gliding is 7.4 miles
How to find altitude using visibility formula?The visibility formula is given as follows:
v = 1.225√a
where
a = altitudev = visibilityTherefore,
v = 67.1 miles
v = 1.225√a
67.1 = 1.225√a
divide both sides by 1.225
√a = 67.1 / 1.225
√a = 54.7755102041
square both sides
√a² = √54.7755102041
a = 7.40104789878
a = 7.4 miles
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write the equation from each line, Plus helpp
Answer:
the slope u find by looking for where the line hits an exact + and the y-int is where the line touches the y-axis
A circular tablecloth has a radius of 3.7 feet. Kyle is sewing a piece of ribbon around the edge of the tablecloth. How much ribbon will Kyle need for the circumference of the tablecloth?
Use\ 3.14\ for\ \pi.\ Use 3.14 for π.
Answer:
Circumference = 23.23600 (using 3.14 instead of whole PI)
Step-by-step explanation:
Where to put the black point to show all the angles that are congruent to angle A
Answer:
-------------------
Step-by-step explanation:
as I see it, A is the full 180° angle.
and so, there are 3 more 180° angles:
below A in the other side of the blue line the whole 180° arc.
above and below the blue line at the intersection point with the second, parallel red line (again, the whole 180° arcs).
Joe ran 5/6 mile each day for 5 days. How far did joe run?
I need help with two step equations
Please help, right now!!!
Answer:
its B
Step-by-step explanation:
Answer:
the answer is B 1/50. I think
GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)
Why is V10 equal to 5
GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)
Answer:
Step-by-step explanation:
In rectangle, the diagonals are equal bisect each other.
⇒ OA = OB
⇒ΔAOB is an isosceles triangle.
In ΔAOB,
x + x + 120 = 180°
2x + 120 = 180
2x = 180 -120
2x = 60
x = 30°
In ΔABD
∠A + ∠ABD ∠BDA = 180
90 + 30 + ∠BDA = 180
∠BDA = 180 - 90 -30 = 60°
ΔABD is 30 - 60 - 90 triangle.
The ratio of sides of 30-60-90 triangle is x : x√3 : 2x
x →shortest leg which is opposite ot 30°
∵ x = AD = 20
x√3 → longest leg which is opposite to 60°
x√3 ( AB) = 20*1.732
AB = 34.64
Area of rectangle = length * width
= 34.64 *20
= 692.8
≈ 693 square units
Use the drawing tools to form the correct answer on the graph.
Draw the solution point, or points, for this system of equations.
Answer: look at the attached image
Step-by-step explanation:
A closed cylinder has how many faces ?
Answer:
3 faces
A cylinder has 3 faces - 2 circle ones and a rectangle (if you take the top and bottom off a tin can then cut the cylinder part on the seam and flatten it out you would get a rectangle). It has 2 edges and no vertices (no corners).
Step-by-step explanation:
[tex] \huge\fbox\blue{ANSWER} [/tex]
A cylinder has 3 faces - 2 circle ones and a rectangle
A waitress earned a 18% tip.What decimal is equivalent to 18%
0.18
Step-by-step explanation:Percentages and decimals are closely related. As a matter of fact, we don't need to use any actual math to solve this question because there is a shortcut.
Answer by Dividing
One way to solve the question is by dividing. Percentages are numbers that represent a portion of 100. So, to find the decimal form we can divide the percentage by 100.
18/100 = 0.18Shortcut
While dividing by 100 can work, there is an easier way to find the decimal form. Dividing by 100 will always be equivalent to moving the decimal point 2 digits to the left.
This means that 18.0 becomes 0.18 when using this shortcut.The graph below represents which system of inequalities?
Oy> 2x - 3
y>-X-3
Oy < 2x - 2
Y-3
Oys 2x - 2
Y EX
None of the above
Answer:
Third option
Step-by-step explanation:
The y-intercepts are -2 and 3 so first option is wrong
One is dashed line and other is solid so one needs to have equal and other one shouldn't, so second option is wrong as both are less than but not also equal
Third option the -2 intercept one is less than or equal to And the slope is positive while the 3 intercept one is greater with negative slope.
The given graph represents the system of inequalities in the third option y ≤ 2x - 2 and y > -x + 3.
It is clear from the graph that one of the inequality has a solid graph line while other has a dotted graph line.
So one of the inequality must be of the form ≤ or ≥ and the other one is of the form < or >.
The only inequalities of this form in the options are,
y ≤ 2x - 2
y > -x + 3
Consider y = 2x - 2.
The points through the line are (0, -2), (1, 0), (2, 2), ...
At origin, (0, 0), 0 ≤ -2 is false. So (0, 0) does not include in the solution region.
So the solution region of y ≤ 2x - 2 is on the part of the line of y = 2x - 2 where (0, 0) is not included.
Consider y = -x + 3
Line passes through (0, 3), (1, 2), (2, 1), (3, 0),....
At (0, 0), 0 > 3, which is false.
So the solution region of y > -x + 3 does not contain the part where (0, 0) is included.
So the resulting graph is correct for this system of inequalities.
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What is the general equation of a sine function with an amplitude of 6, a period of startfraction pi over 4 endfraction, and a horizontal shift of startfraction pi over 2 endfraction?
Answer:
f(x) = 6·sin(8(x -π/2))
Step-by-step explanation:
A transformed sine function with amplitude A, period P, and horizontal shift S can be written as ...
f(x) = A·sin(2π/P(x -S))
__
The equation for A=6, P=π/4, and S=π/2 is then ...
f(x) = 6·sin(8(x -π/2))
_____
Additional comment
The horizontal shift is equal to two full periods, so the shifted function is indistinguishable from the unshifted function.
Please help me pleasee
Answer:
x = y = 64° , z = 20°
Step-by-step explanation:
x = y = [tex]\frac{180-52}{2}[/tex] = 64 °
m∠ADC = 52° + x
m∠ADC = 52° + 64° = 116°
z = 180° - 116° - 44° = 20 °
At his school's book fair, Tristan paid $37.70 for 5 books by his favorite author. Each book would have cost $9 if he had purchased it online instead. In all, how much more money would Tristan have paid if he had purchased the books online?
Answer:
$7.30
Step-by-step explanation:
All you have to do is 9 x 5= 45
Then 45 - 37.70= 7.30
HGD
-ghost
Tristan would have paid $7.3 more, if he had purchased the books online.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Tristan paid $37.70 for 5 books by his favorite author.
Each book would have cost $9 if he had purchased it online instead.
Total money paid to purchase books online = 5×9
= $45
Difference in cost = 45-37.70
= $7.3
Therefore, Tristan would have paid $7.3 more, if he had purchased the books online.
To learn more about the unitary method visit:
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Can you help me solve this two questions please??? :(
Question 1 of 5
Brad measured the heights of several wildflowers. He
found that their heights were 3, 3, 4, 4, and 6 inches.
Which statement is false?
O A. The mean of the data is 4 inches,
B. The median of the data is 4 inches.
O C. The mean of the data is 3 inches,
D. The range of the data is 3 inches.
SUBMIT
I will mark brainiestttttt answeerr
Answer:
The mean of the data is 3 inches, is false
Step-by-step explanation:
3, 3, 4, 4, and 6 inches.
To find the mean, add the numbers together and divide by the number of data points
( 3+3+4+4+6)/5 = 20/5 = 4
The median is the middle number
3, 3, 4, 4, and 6 inches.
The median is 4
The range is the largest number minus the smallest number
6-3 =3
Mr. Jones sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes, he:
(a) broke even,
(b) lost 4 cents,
(c) gained 4 cents,
(d) lost 10 cents,
(e) gained 10 cents
two pipes= $1.20
solution:Selling price of the first pipe = $1.20
Profit = 20%
Let’s try to find the cost price of the first pipe
CP = Selling price - Profit
CP = 1.20 - 20% of CP
CP = 1.20 - 0.20CP
CP + 0.20CP = 1.20
1.20CP = 1.20
CP = 1.20/1.20
CP = $ 1
Selling price of the Second pipe = $1.20
Loss = 20%
Let’s try to find the cost price of the second pipe
CP = Selling price + Loss
CP = 1.20 + 20% of CP
CP = 1.20 + 0.20CP
CP - 0.20CP = 1.20
0.80CP = 1.20
CP = 1.20/0.80
CP = $1.50
Therefore, total cost price of the two pipes
= $1.00 + $1.50
= $2.50
And total selling price of the two pipes
= $1.20 + $1.20
= $2.40
Loss = $2.50 – $2.40 = $0.10
Therefore, Mr. Jones loss 10 cents.
answer= option d.
Which function in vertex form is equivalent to f(x) = x2 x 1? f(x) = (x one-quarter) squared three-quarters f(x) = (x one-quarter) squared five-quarters f(x) = (x one-half) squared three-quarters f(x) = (x one-half) squared five-quarters
The function in vertex form is equivalent to [tex]\rm y = (x + 2/4)^2 + \frac{3}{4}[/tex].
What are quadratic equations?A quadratic equation is an equation of degree 2 in other words.Quadratic equations have the form ax² + bx + c = 0 and are second-degree algebraic expressions.
The standard quadratic function with vertex (h, k) is ;
[tex]\rm y = a(x - h)^2 + k[/tex]
The general quadratic equation is found as;
[tex]\rm y = ax^2 + bx + c[/tex]
The value of h is given as;
[tex]\rm h = \frac{-b}{2a}[/tex]
For the given equation in the problem;
[tex]\rm y = x^2 + x + 1[/tex]
The value of the k is found by;
[tex]\rm y =( \frac{-1}{2}) ^2 - \frac{1}{2} + 1 \\\\ y= \frac{1}{4} - \frac{1}{2}+ 1 \\\\ y= \frac{1}{4}- \frac{2}{4}+ \frac{4}{4}\\\\ y= \frac{3}{4}[/tex]
So the vertex is at [tex]\frac{-2}{4}[/tex] and [tex]\frac{1}{4}[/tex] then the vertex form is:
[tex]y = (x +\frac{2}{4} )^2 + \frac{3}{4}[/tex]
Hence the functions in vertex form are equivalent [tex]\rm y = (x + 2/4)^2 + \frac{3}{4}[/tex].
To learn more about the quadratic functions refer to the link;
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Answer: OPTION 3
Step-by-step explanation:
What is the surface area of the prism?
Length: 15mm
Width: 3mm
Height: 4mm
Answer:
234mm
Step-by-step explanation:
Angle 1 and 2 are complementary. Angle 1 is 28 degrees. what is the measure of angle 2?
Answer:
Step-by-step explanation:
Remark
All triangles are made up of 3 angles totally 180 degrees.
In addition a right triangle has a measurement of 90 degrees.
The other two angles must add to 90 degrees as will. That is the definition of complementary. (2 angles add to 90 degrees).
Formula
x + 28 = 90
Solution
x + 28 = 90 Subtract 28 from both sides.
x+28 -28=90 - 28
x = 62
The measure of the second angle is 62
Q: The ratio of the numbers of Nick's marbles to Michael's is 3:5. Nick has 36 marbles. If Nick receives
another 9 marbles, what will be the new ratio of the number of Nick's marbles to Michael's?
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]\frac{3}{5} = \frac{36}{x}[/tex]
3x = 36 x 5
3x = 180
x = 60
Michael has 60 marbles.
Nick recieves 9 more marbles so he has 36 + 9 = 45 marbles
The new ratio will be:
[tex]\frac{45}{60}[/tex] = [tex]\frac{3}{4}[/tex]
Which quadratic expression represents the product of these factors? (2x + 5)(7 − 4x)
A.
-8x2 + 6x − 35
B.
-8x2 − 6x + 35
C.
-8x2 − 34x + 35
D.
-8x2 + 34x − 35
Answer:
[tex] - 8x {}^{2} - 6x + 35 [/tex]
Step-by-step explanation:
(2x+5)(7-4x)
expanding
2x(7-4x)+5(8-4x)
removing brackets
2x×7+2x×-4x+5×7+5×-4x
14x-8x^2+35-20x
arranging properly
-8x^2-6x+35
Find the equivalent expression of 12^6
Answer:
C: 12^12/12^6
Step-by-step explanation:
it is equal to 12^6