Answer:
[tex]\displaystyle \large{\cos \theta = \dfrac{-3}{\sqrt{34}} = -\dfrac{3\sqrt{34}}{34}}\\\\\displaystyle \large{\csc \theta = \dfrac{\sqrt{34}}{5}}\\\\\displaystyle \large{\tan \theta = -\dfrac{5}{3}}[/tex]
Step-by-step explanation:
Accorded to trigonometric formula, we know that:
[tex]\displaystyle \large{\cos \theta = \dfrac{x}{r}}\\\\\displaystyle \large{\csc \theta = \dfrac{1}{\sin \theta} = \dfrac{1}{\frac{y}{r}} = \dfrac{r}{y}}\\\\\displaystyle \large{\tan \theta = \dfrac{\sin \theta}{\cos \theta} = \dfrac{y}{x}}[/tex]
We know what x and y are but not yet knowing what r is. We can find r (radius) using the formula:
[tex]\displaystyle \large{r=\sqrt{x^2+y^2}}[/tex]
Input x = -3 and y = 5 in.
[tex]\displaystyle \large{r=\sqrt{(-3)^2+(5)^2}}\\\\\displaystyle \large{r=\sqrt{9+25}}\\\\\displaystyle \large{r=\sqrt{34}}[/tex]
Hence, radius is √34 and we know all we need now. Substitute x = -3, y = 5 and r = √34 in respective areas.
[tex]\displaystyle \large{\cos \theta = \dfrac{-3}{\sqrt{34}} = -\dfrac{3\sqrt{34}}{34}}\\\\\displaystyle \large{\csc \theta = \dfrac{\sqrt{34}}{5}}\\\\\displaystyle \large{\tan \theta = -\dfrac{5}{3}}[/tex]
These are the answers to your question. Please let me know if you have any questions regarding my answer or explanation!
Angles C and D are complementary. The ratio of the measure of Angle C to the measure of Angle D is 2:3. Find the measure of each angle. Explain or show your reasoning.
By using the ratio, we will see that angle C measures 36° and angle D measures 54°.
How to find the measure of the angles?First, two angles are complementary if the sum of their measures gives 90°.
So we have:
C + D = 90°.
Also, we know that the ratio of C to D is 2:3
This means that we can divide the 90° in 5 parts (3 + 2 = 5) such that 2 of these parts are angle C, and the remaining 3 are angle D.
90°/5 = 18°
C = 2*18° = 36°
D = 3*18° = 54°
These are the measures of the angles.
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My chair set was available at R11000 I can pay an 8% deposit and pay the remainder over a 4-year period charged at 6% interest p.a what would my monthly installments come to
Answer:
R 237.67 monthly
Step-by-step explanation:
Ordinary annuity
PV = C [ 1 - (1+i)^-n] / i
PV = 11000 - .08 (11000) = 10120
i= .06/12=.005 n = 4 yrs x 12months =48
Plug in the numbers and calculate 'C' = 237.67
Find the m < A ? A.80 B.145 C.105 D.70
Answer:
D
Step-by-step explanation:
∠ A is the angle opposite side a
the sum of the 3 angles in the triangle = 180° , that is
∠ A + 75° + 35° = 180°
∠ A + 110° = 180° ( subtract 110° from both sides )
∠ A = 70°
The radius of a circle is 13 ft. Find its area in terms of pi.
Answer:
The area of the circle would be 530.93 sq ft.
Step-by-step explanation:
The formula is A = π r². We know that the radius or r is 13, meaning that the new equation is A = π 13². 13 to the second power is 169 meaning that the formula would now be A = π(169). 169 times π is 590.93 getting you your answer. I hope this helped! :)
Write a quadratic function h whose zeros are 7 and -5.
Answer:
h = x² - 2x - 35
Step-by-step explanation:
Making the factors :
It mentions the zeros are 7 and -5.
Then, the factors are :
⇒ (x - 7)
⇒ (x + 5)
===========================================================
The quadratic function will be :
⇒ h = (x - 7)(x + 5)
⇒ h = x² - 2x - 35
What percentage of 2 hours is 12 minutes?
Answer:
10%
Step-by-step explanation:
1. Convert 2 hours to minutes
2(60) = 120 min.
2.Calculate the percentage
[tex](\frac{12}{120} )(100)=10[/tex]
12 minutes is 10% of 2 hours
Hope this helps
does the graph below represent a function? why or why not?
Answer:
Step-by-step explanation:
The coordinate plane is also called a Cartesian Plane. Function. A function is a relationship where there is only one output for every input. In other words, for every value of x, there is only one value for y.
Does this help?
Answer:
It is NOT a function.
Step-by-step explanation:
It does not pass the vertical line test. A vertical line can touch the graph in more than one point.
To be a function, every x can have only one y value. On this graph almost every single x has two y's. For example when x is -6, the y is 2 and also 8. Not a function.
Eric has challenged himself to walk 24,000 steps in 4 days. if eric walks the same number of steps each day, which function represents the number of steps eric still needs to walk to reach his goal with respect to the number of days since he started his challenge?
The expression that correctly shows the total of steps Eric needs to walk is y = -6,000x + 24,000.
How to write a mathematical expression?Identify the factors or variables involved.Use leters to represent unknown factors.Use +,-, etc. to show how the factors relate.What is the best mathematical expression?x = number of daysy = steps missing24,000 = total steps6,000 = steps per dayBased on this the best expression is
y = -6,000x + 24,000or the missing steps are equal to the number of days multiplied by the steps per day and subtracted to the total steps.
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PLEASE HELPPPPPP
lisa, an experienced shipping clerk, can fill a certain order in 2 hours. bill, a new clerk, needs 3 hours to do the same job. working together, how long will it take them to fill the order?
the solution is __ hours.
(simply your answer. type an integer or a fraction)
Answer:
Lola ko na tagpuan na rin kitaAnswer:
2/3 = 0.6 (line on top of the 6 not bottom)the solution is 2/3 hours.
Step-by-step explanation:
"An experienced shipping clerk, Lisa can fill a particular order in 2 hours. bill, a new clerk, needs 3 hours to do the same job. working together,"
what is x?
please help
Answer: the answer is x =4
Step-by-step explanation:
Answer:
35 I did this before
Step-by-step explanation:
PLEASE HELP I DON'T KNOW WHAT TO DO AND I CANT MOVE ON TO THE NEXT ONE!!
Solve for x. If needed, round your answer to 1 decimal place.
The value of x in the right triangle is 21.4
How to solve for x?To solve for x, we use the following sine function
Sin(angle) = Opposite/Hypotenuse
So, we have:
sin(31) = 11/x
Make x the subject
x = 11/sin(31)
Evaluate
x = 21.4
Hence, the value of x is 21.4
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Identify the area of a regular pentagon with side length 15 cm rounded to the nearest tenth. NEED HELP ASAP
Answer:
I believe the answer to be 387.11
Step-by-step explanation:
A=1/4√5(5+2√5) a°2=1/4√5•(5+2•√5)•15°2=387.10742 cm°2
Rounded= 387.11
When a trained dog learns to sit when you blow a whistle once and to lie down when you blow the whistle twice, the dog is showing: Question 24 options: Social Learning Stimulus Generalization Problem Solving Skills Stimulus discrimniation
Answer:
Probably Stimulus discrimination.
Step-by-step explanation:
solve the equation 4/5x-2 = x
Answer:
[tex]\frac{4}{5}[/tex]x-2=x
[tex]\frac{4x}{5}[/tex]-2=x
[tex]\frac{4x}{5}[/tex]+[tex]\frac{5(-2)}{5}[/tex]=x
[tex]\frac{4x+5(-2)}{5}=x[/tex]
x= -10
Step-by-step explanation:
A cell phone tower that is 70 meters tall is built on level ground
and casts a shadow 230 meters long at a particular moment.
find the angle of elevation of the sun relative to an observer
standing at the tip of the shadow.
The angle of elevation of the sun relative to an observer standing at the tip of the shadow is 16.9°.
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given that:-
A cell phone tower that is 70 meters tall is built on level ground and casts a shadow 230 meters long at a particular moment.The angle of elevation will be calculated by applying trigonometric property in the triangle given below;-
[tex]tan\theta=\dfrac{P}{B}[/tex]
[tex]tan\theta=\dfrac{70}{230}[/tex]
[tex]\theta=tan^{-1} (\dfrac{70}{230})[/tex]
[tex]\theta[/tex] = tan[tex].^{-1}[/tex](0.3043)
[tex]\theta[/tex] = 16.9
Therefore angle of elevation of the sun relative to an observer standing at the tip of the shadow is 16.9°.
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The ratio of the ages of Mandy and Sandy is 2:5. After 8 years, their ages will be in the ratio 1:2. What is the difference between their present ages?
Caitlin says the difference in their ages is 24 years. In two or more complete sentences, explain whether or not Caitlin is correct. In your explanation, include the equations and calculations necessary to support or contradict Caitlin's answer.
A ratio shows us the number of times a number contains another number. Caitlin is right.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The ratio of the ages of Mandy and Sandy is 2:5. Therefore, the ratio will be,
M/S = 2/5
M = 2S/5
After 8 years, their ages will be in the ratio 1:2, therefore,
(M+8)/(S+8) = 1/2
2M + 16 = S + 8
2M - S = -16 + 8
Substitute the value of M,
2(2S/5) - S = -8
-0.2S = -8
S = 40
Now, if we substitute the value of S in the first ratio,
M/S = 2/5
M/40 = 2/5
M = 16
Now, if we take the difference in their ages the difference will be 24(40-16).
Since the difference is 24, we can conclude that Caitlin is right.
Hence, Caitlin is right.
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what’s the surface area Due by tomorrow!!!
Answer: The surface area = 2040.
Step-by-step explanation: Have a great day!
Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question. There are 15 questions on the test and the students have been given 55 minutes to complete it
The value that could replace variable x in the table is (15 - m)8
How to the value of x in an expression ?The students are given 3 minutes to complete each multiple choice question on a test and 8 minutes for each free response question.
From the table, the time to answer the whole multiple choice question is as follows:
total time = 3m
From the table, the total time taken to answer the free response question is as follows:
total time = (15 - m)8
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Answer: I believe it's C 8(15 - m)
Step-by-step explanation:
A high school student named David Merrell did a study of how music affects the ability of rats to run a maze. He trained 71 rats to run a maze. Next he randomly divided the rats to three groups. Each group had 23 or 24 rats. For the next month, one group of rats listened all day to heavy metal music by the group Anthrax. One group listened all day to Mozart. One group never heard music. The rats ran the same maze three times a week for a month. The response variable is the time in seconds to complete the maze. By the end of the month he compared the average run time for each treatment group to the average run time for the control group. The Anthrax group was much slower at running the maze. The Mozart group was much faster. The differences are statistically significant at the 1% level. Run times are not heavily skewed in any group. What conclusion can we draw from these results
Step-by-step explanation:
Heavy Metal "music" impacts negatively the long term memory, if at least the ability to access it.
while harmonic music has no blocking effect or maybe even strengthens the long term memory and the ability to access it.
here 3 remarks.
first 2 scientifically from psychology : memory works mostly associative. that means brains do not store absolute information like a digital computer, but always in combination and association with other pieces of information. if there is nothing else to remember (like a more or less random pattern of sound effects for that the brain cannot find a rule or concept for), there are no associations with presented pieces of information, and the storage and access to it is much harder and restricted.
and - loud crashing and seemingly random noise triggers the panic mode in our brains. and panic is the mode favoring pure instinct and suppressing cognitive functions.
and finally, personally, it just confirms what I literally feel when listening to such music : it destroys at that moment any ability to keep a straight thought, prolonged exposure gives me the feeling that something gets broken inside my brain and thought processes.
I suspect that this is exactly the feeling that the fans of this kind of music are after (kind of like most drugs), but I am not surprised that there actually is something broken in the brain (again, as with drugs).
The percent frequency for S&P 100 companies in the Consumer Staples sector is
The percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%
How to determine the percentage frequency?From the pie chart of the dataset (see attachment for the pie chart), we have:
Consumer Staples = 8.2%
This means that the percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%
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Please Help I Don't Understand!
What is one solution to the system of equations graphed here?
Answer:
(-2, 4)
Step-by-step explanation:
Hello!
There are two solutions for this system, which can be found by looking at the intersections of the two graphs.
The first intersection is at point (-2, 4), and the second one is at point (4, -3).
Since the second option is not a given option, it is the last option (-2, 4).
Can Someone Please Help Me With This, Thanks! :)
On Monday a builder built 5/9 of a wall. On Tuesday he added the last 180 bricks to finish the wall. How many bricks are there in the wall?
Answer:
405
Step-by-step explanation:
So he built 5/9 of the wall, than added the extra 180 bricks to finish the wall.
so 5/9 + 180 = 9/9
so 180 = 4/9 Because 5/9 + 4/9 = 9/9
So to figure out how many bricks are in the wall we want to know what 1/9 of bricks equals and to work this out we need to divide 180 by 4
which equals 45.
Now we know that 1/9 = 45
so now to figure out what 9/9 is just multiply 45 by 9 which equals 405
Answer:
405 bricks in total
Step-by-step explanation:
1 - 5/9 = 4/9
So 4/9 of the bricks are remaining, and "the last 180 bricks" is equal to 4/9
Using ratio method:
4/9 : 180
5/9 : x
x = 180 × 5/9 ÷ 4/9
x = 225
So 180 + 225 = 405 bricks in total
Kiran walked at constant speed. He walked 1 mile in 15 minutes. Which of these equations represents the distance d (in miles) that Kiran walks in t minutes?
d = t + 14
d = t - 14
d = 15t
d = 115t
Answer:
C. d=15t
Step-by-step explanation:
it is C because you get the equivalent from the t and that t is the number 1 so 15×1 is 15
More information:
I hope this is able to help you, please feel free to give feedback if necessary :)
Solve pls brainliest
Answer: 64
Step-by-step explanation:
u = 56 * 8 / 7 = 64
Which set of ordered pairs has point symmetry with respect to the origin (0, 0)? (5, 4), (-5, -4) (5, 4), (5, -4) (5, 4), (4, 5) (5, 4), (-5, 4)
The set of ordered pair that has point symmetry in respect to origin is (5, 4), (-5, -4).
What is the point of symmetry?
This is a term that is used to refer to the points that are on the same distance from the origin but are on opposite sides.
The line that connects the points are known to move through the origin such that when measured on the graph, the distances between these points but they are opposite because they are in negatives and positives on the two sides.
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Answer:
the answer is (5,4),(-5,4)
Step-by-step explanation:
1 euro = $1.09 $1= 62 rupees Change 400 euros into rupees using these exchange rates.
Answer:
27,032 Rupees
Step-by-step explanation:
$1.09 x 400 = $436
$436 x 62 = 27,032
(Hope this helps and that it's not wrong ^-^)
concider the functions: f(x)= (2/3)x and g(x)=(2/3)x-3+2. Which statement is true regarding the vertical and horizontal translations from f(x) to g(x) ?
A. The function f(x) was translated left 3 units and up 2 units
B. The function f(x) was translated right 3 units and down 2 units
C. The function f(x) was translated left 3 units and down 2 units
D. The function f(x) was translated right 3 units and up 2 units
The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.
Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?
For a given function f(x), we can write a vertical translation of n units as:
g(x) = f(x) + n
If n < 0, the translation is downwards.if n > 0, the translation is upwards.And a horizontal translation of n units as:
g(x) = f(x + n).
if n > 0, the translation is to the left.if n < 0, the translation is to the right.Here we have:
f(x) = (2/3)*x
g(x) = (2/3)*(x - 3) + 2
By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.
So the correct option is B.
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Evaluate (cant write it out, picture included)
Let's solve this problem step-by-step:
⇒ with our knowledge of PEMDAS
⇒ (look at the image attached)
Let's solve:
Let's first plug n's value[tex]\frac{9}n}+4 = > \frac{9}{-3}+4[/tex]
Let's first do the division[tex]\frac{9}{-3}+4=-3+4[/tex]
Now let's add[tex]-3+4=1[/tex]
Answer: 1
Hope that helps!
The volume of the cone below is 700 cm³. Calculate the height of the cone. If your answer is a decimal, give it to 1 d.p. 8 cm
Answer:
10.4 cm
Step-by-step explanation:
Formula used :
Volume (cone) = 1/3πr²h
=============================================================
Given :
⇒ Volume = 700 cm³
⇒ Radius = 8 cm
===========================================================
Solving :
⇒ 700 = 1/3 × π × 8² × h
⇒ 700 = 64π/3 × h
⇒ h = 700 × 3 / 64π
⇒ h = 2100/64π
⇒ h = 10.4 cm (rounded to 1 decimal place)