Answer: [tex]\cos(\theta) = \frac{8\sqrt{113}}{113}\\\\[/tex]
=================================================
Work Shown:
x^2+y^2 = r^2
(8)^2+(-7)^2 = r^2
113 = r^2
r = sqrt(113)
The distance from (0,0) to (8,-7) is exactly sqrt(113) units.
This is the exact length of the hypotenuse of the right triangle.
Next, we do the following steps:
[tex]\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(\theta) = \frac{x}{r}\\\\\cos(\theta) = \frac{8}{\sqrt{113}}\\\\\cos(\theta) = \frac{8\sqrt{113}}{\sqrt{113}*\sqrt{113}}\\\\\cos(\theta) = \frac{8\sqrt{113}}{\sqrt{113*113}}\\\\\cos(\theta) = \frac{8\sqrt{113}}{\sqrt{113^2}}\\\\\cos(\theta) = \frac{8\sqrt{113}}{113}\\\\[/tex]
Side note: cosine is positive in quadrant Q4.
i need help pls it’s timedd!!!!
Answer:
5.
Step-by-step explanation:
If you were to rotate the triangle, you can apply Pythagoras Theorem.
Therefore,
a^2 = 12^2 - 13^2 (Note: a^2 = a squared)
a^2 = 144 - 169
a^2 = -25.
a = 5.
Not sure why its negative though im pretty sure its the right answer.
in BCD triangle :
DC^2 = BC^2 + BD^2
13^2 = 12^2 + BD^2
169 = 144 + BD^2
BD^2 = 169 - 144
BD^2 = 25
BD = 5
_______________________
In the other hand we have :
BD^2 = AB × BC
5^2 = AB × 12
AB = 25/12
________________________
Also we have :
AD^2 = AB × AC
AD^2 = 25/12 × ( 25/12 + 12 )
AD^2 = 25/12 × ( 25/12 + 144/12 )
AD^2 = 25/12 × 169/12
AD^2 = 25 × 169 / 12 × 12
AD^2 = 5 × 5 × 13 × 13 / 12 × 12
AD = 5 × 13 / 12
AD = 65 / 12
AD = 5.42
Thus the correct answer is option C
. How much time, in minutes, did she spend studying Spanish?
The time Kathleen spent studying Spanish is
SEE IMAGE BELOW AND ONLY ANSWER IF YOU KNOW THE ANSWER
Find x. Round to the nearest tenth: 29° 500ft
X=[?]ft
9514 1404 393
Answer:
437.3 ft
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(29°) = x/(500 ft)
x = (500 ft)cos(29°)
x ≈ 437.3 ft
900 tickets were sold. Adult tickets cost $10, children's cost $4, and a total of $7500 was
collected. How many tickets of each kind were sold?
Answer:
650 adult tickets and 250 children's tickets.
Step-by-step explanation:
Which inequality is graphed on the coordinate plane?
Answer:
A: y < -2x - 1
Step-by-step explanation:
First, to figure out which part of the graph to be looking at, you will look at the shaded region as the solution area.
So, the solution area is to the left of the line. Said line is a dotted line which means that the points on the line can not be a solution.
If the points on the line can not be a solution then it eliminates answer choices C and D because y can not equal the other side of the inequality.
Now, we will bring the shaded region back into focus to find out if y is greater than or less than the other side. The shaded area is "below" the line so it is less than -2x - 1.
To ensure this is correct, plug two points into the inequality we just chose, one from the shaded region and one not, just to make sure the answer is correct.
I picked (-3,4) to test. So plug them into the inequality to get:
4 < -2 (-3) - 1
So 4 < 6 - 1 which is correct.
Then from the other side of the line I picked (5,2)
2 < -2 (5) - 1
2 < -10 - 1
2 < -11 is not true so the inequality that we found was correct.
What does X equal ????
8+(10-7) writen in words
Answer: 11
Step-by-step explanation:
8 + (10 - 7)
first you would solve the parenthesis, to support the order of operations.
8 + ( 3)
ten minus seven is three, so we replace the "10-7" in the parenthesis with "3"
next you add the eight and the three together
8 + 3 = 11
the total is eleven :)
Hey there!
Do PEMDAS to solve
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
8 + (10 - 7)
10 - 7 = 3
8 + 3
= 11
Or
8 + (10 - 7 )
8 + 10 - 7
8 + 10 = 18
18 - 7
= 11
Answer: 11
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Given tan(A)=5 and tan(B)=9, find the value of tan(A−B).
Answer:
tan= 4
Step-by-step explanation:
This is actually very easy, basically u have 5 - 9.
So you have positive nine and a negative sign, which is used for subtraction, so in the integers rule, positive- negative= negative
so its 4.
I HOPE ITS RIGHT, IM 11
If tan(A)=5 and tan(B)=9 the value of tan(A−B) will be -0.086.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between the sides and angles of a right-angle triangle. The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
It discusses how triangle side lengths and angles relate to one another. Using trigonometric formulas and functions, it is mostly used to determine the unknown side lengths and angles of a right-angled triangle. Six different functions are frequently employed in trigonometry.
It is given that tan(A)=5 and tan(B)=9
As we know,
[tex]\rm tan(A -B) = \frac{tan A - tan B}{1- tan A tan B}[/tex]
Substitute the given values we get,
tan(A -B) = (tan A - tan B)/(1 + tan A tan B)
tan(A -B) = (5-9) / (1 + 5 × 9)
tan(A -B) = (-4) / (1 + 45)
tan(A -B) = -4 / 46
tan(A -B) = -2/23
tan(A -B) = - 0.086
Thus ,if tan(A)=5 and tan(B)=9 the value of tan(A−B) will be -0.086.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ2
giải phương trình vi phân: y" - 5y' + 6y = 6x + 7
Неоднородное ДУ второго порядка. Детали в аттаче.
PLS HELP! WILL GIVE BRAINLIEST IF CORRECT!
What is the value of P for the following triangular prism?
36 cm
48.5 cm
48 cm
36.5 cm
Answer:
36 cm
Step-by-step explanation:
if p is perimeter then 10+13+13=36 is the correct answer
At a price of per ticket, a musical theater group can fill every seat in the theater, which has a capacity of . For every additional dollar charged, the number of people buying tickets decreases by . What ticket price maximizes revenue? Revenue is maximized when the price is
Answer:
The appropriate answer is "$12".
Step-by-step explanation:
As per the question,
Price per ticket,
= [tex]4+k[/tex]
Number of people,
= [tex]1800-90k[/tex]
Now,
The revenue (R) will be:
= [tex]Price \ per \ ticket\times Number \ of \ people[/tex]
By putting the values, we get
= [tex](4+k) (1800-9k)[/tex]
= [tex]-90k^2+1440k+7200[/tex]
or,
⇒ [tex]R'=1440-180k=0[/tex]
⇒ [tex]180k=1440[/tex]
⇒ [tex]k=\frac{1440}{180}[/tex]
[tex]=8[/tex]
hence,
The ticket price will be:
= [tex]4+k[/tex]
= [tex]4+8[/tex]
= [tex]12[/tex] ($)
Find cos 0, tan 0, and csc0 where 0 is the angle shown in the figure. Give exact values, not decimal approximations. (plz help!)
Step-by-step explanation:
everything can be found in the picture
Let X, Y, and Z be jointly continuous random variables. Assume that all conditional PDFS and expectations are well defined. E.g., when conditioning on X r, assume that x is such that fx (x)> 0. For the following formula, state whether it is true for all choices of the function g or false?
E[g(Y) | Y= x] = ∫g(y) fY| X(y|x) dy
Answer:
True
Step-by-step explanation:
Given that X,Y and Z are jointly continuous random variables
For : E [g(Y) | Y= x] = ∫g(y) fY| X ( y|x ) dy
For all choices of g the function is true given that g(y) = a random variable
A random variable is a variable with an unknown value it can be said to assign values to an experimental outcome.
Julie borrowed 3500 for 3years at a seven and a half simple interest rate how much interest rate is that
Answer:
787.50
Step-by-step explanation:
interest=3500*7.5*3/100
interest=35*7.5*3
interest=787.50
what are functions in math
the value of 456×6+35×2 is
Answer:
2806
Step-by-step explanation:
→ First complete the multiplication
456 × 6 = 2736 and 35 × 2 = 70
→ Add the totals
2736 + 70 = 2806
Answer:2806
Step-by-step explanation:
^﹏^
PLEASE HELP
If the absolute value represents the distance from zero, can we have a negative distance?
Answer:
No, you cannot have a negative distance.
Step-by-step explanation:
No, you cannot have a negative distance.
Let's say you were asked for the absolute value of -4. How many units is -4 away from 0? The answer would be 4. There is no negative distance from 0.
Hope this helps, please mark brainliest! :)
9,16,25,36 arithmetic or geometric?
24,18,12,arithmetic or geometric?
500,100,20 ,4 arithmetic or geometric?
Answer:
9,16,25,36 neither, 24,18,12 arithmetic, 500,100,20 ,4 geometric
Step-by-step explanation:
1. has no common number
2. goes down by 6 each time
3. is divided by 5 each time
I need help finding x please?
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:find}}{\blue{:}}}}}[/tex]
The value of [tex]x[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\longrightarrow{\green{x\:=\: 25° }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]
➪ 125° + [tex]x[/tex] + 30° = 180°
➪ [tex]x[/tex] + 155° = 180°
➪ [tex]x[/tex] = 180° - 155°
➪ [tex]x[/tex] = 25°
Therefore, the value of [tex]x[/tex] is 25°.
Now, the three angles of the triangle are 125°, 25° and 30°.
[tex]\large\mathfrak{{\pmb{\underline{\pink{To\:verify}}{\pink{:}}}}}[/tex]
✒ 125° + 25° + 30° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]
What was the original price? Explain how you arrived at this answer.
ONLY ANSWER IF YOU KNOW THE ANSWER
Answer:
180
Step-by-step explanation:
120 divide by 2
then times by 3
1.
What is the slope of the line through the points (-2, -1) and (8, -3)?
Answer:
The slope of the line is [tex]-\frac{1}{5}[/tex] in fraction form or -0.2 in decimal form.
Step-by-step explanation:
To solve for the slope of the line, use the rise over run formula. The rise over run formula is a measure of how much something changes vertically compared to how much it changes in the horizontal direction. The rise over run formula calculates the difference between the two points in the vertical direction (rise) and then divide it by the difference in the horizontal direction (run). The formula looks like [tex]\frac{rise}{run}[/tex], but in terms of finding a slope, it looks like [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
For finding the slope of this line with the points (-2,-1) and (8,-3), start by writing down the information given from the question.
[tex]y_{2}= -3[/tex]
[tex]y_{1}=-1[/tex]
[tex]x_{2}=8[/tex]
[tex]x_{1}= -2[/tex]
Next, plug in the information given from the question into the formula, and the formula will look like [tex]\frac{-3-(-1)}{8-(-2)}[/tex]. Then, simplify the equation, which will look like [tex]\frac{-2}{10}= -\frac{1}{5}[/tex]. The final answer will be [tex]-\frac{1}{5}[/tex] in fraction form or -0.2 in decimal form.
I don’t get this at all
Answer:
0.21
Step-by-step explanation:
There's 21 kids with a cell phone and no tablet
so 21/100 = 0.21
g The downtime per day for a computing facility has mean 4 hours and standard deviation 0.9 hour. What assumptions must be true to use the result of the central limit theorem to obtain a valid approximation for probabilities about the average daily downtime
Answer:
To obtain a valid approximation for probabilities about the average daily downtime, either the underlying distribution(of the downtime per day for a computing facility) must be normal, or the sample size must be of 30 or more.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
To obtain a valid approximation for probabilities about the average daily downtime, either the underlying distribution(of the downtime per day for a computing facility) must be normal, or the sample size must be of 30 or more.
What is the probability of rolling a number greater than 0 on a six-sided die? Someone pls help it’s urgent!!
Answer:
6/6=1
Step-by-step explanation:
There are six sides on a die and you have six total outcomes. Hope this helps! :)
The sum
of two consecutive
integers is 8,641.
What is the smallest integer?
Answer:
sim eu também preciso desta respota
please help with the steps thx
Answer:
amount financed: 47800
monthly payment: 454.97
FC: 6796.40
558390.76
198390.76
Step-by-step explanation:
1.)
the amount financed is the cost- amount paid today
61800-14000=47800
effective rate: .027/12=
assuming it's an annuity immediate...
x=payment
[tex]47800=x\frac{1-(1+.00225)^{-(10*12)}}{.00225}\\47800=105.0617517x\\x=454.97[/tex]
going to assume that the last part is asking for the interest
to find the interest do financed amount-total paid
454.97*10*12-47800=6796.4
2.)
Find the effective rate
.056/4=.014
assuming annuity immediate
[tex]6000\frac{(1+.014)^{15*4}-1}{.014}=558390.7595[/tex]
interest earned:
558390.7595-6000*60=198390.76
I need help in this task pls, says locate the following decimal numbers on the line...the one who helps me I give him points, about 70 points
Answer:
Listen to the explanation
Step-by-step explanation:
Each dash on the line represents .10 so for the first one where it says .28 it should be about-
|-----|-----|---●-|-----|-----|-----|-----|-----|-----|-----|
0. .10. .20 .30 40 .50. .60 .70 .80 .90 1.0
Do you get what I mean? Haha
Answer:
Assuming that the line goes from zero to one.
8. A bag contains 72 toffees. How many toffees can be stored in 122 such bags? Estimate the number of toffees to nearest tens.
9.The working of a metro station is controlled by 28 persons. Estimate the number of persons required to control the working of 88 such stations to the nearest tens.
Answer:
8.) 8,780 toffees can be stored in 122 such bags.
9.) 2,460 people are required to control the working of 88 such stations.
Step-by-step explanation:
QUESTION 8:
We know that there are 72 toffees per bag
So if we want to know how many toffees can be stored in 122 such bags:
72 x 122 = 8,784
ROUND IT TO THE NEAREST TENS:
Look at the digit to the right of the tens place: 8,784–>4. 4 and below means that the digit will be repkaced by 0 and the tens place remains the same.
So 8,784 rounded to tens is 8,780
Tye answer for question 9 is
2,460 (do the same thing)
3x-4=8 what is the value of X
Answer:
x = 4
Step-by-step explanation:
Given
3x - 4 = 8 ( add 4 to both sides )
3x = 12 ( divide both sides by 3 )
x = 4
Inscribe a circle in a unit square and to r= 1000 random.
a. Suppose that 760 of those darts land in the circle.
b. What would our estimate be if we let n â oo and we applied the same ratio strategy?
Step-by-step explanation:
area of square = 1
area of a circle in square = [tex]\pi r^2 = \pi *(1/2)^2 = \frac{\pi }{4}[/tex]
bu estimate [tex]p^ = X/n = 760/1000 = 0.76
Therefore,
[tex]\frac{\pi }{4} \approx 0.76[/tex]
[tex]\pi \approx 0.76*4 =3.04[/tex]
b) if n tend to infinity
[tex]\pi will approach 3.14[/tex]
Answer:
uvfhmfa
Step-by-step explanation:
