Answers
Explanation:
Provided 2 length sides and one angle also need to find one missing side.
So, use cosine rule:
a² = b² + c² - 2bc cos(A)
Part 1c² = 9² + 11² - 2(11)(9) cos(57)
c² = 94.16147
c = √94.16147 = 9.70 cm
Part 2d² = 5² + 7² - 2(5)(7) cos(48)
d² = 27.16
d = √27.16 = 5.21
Part 35² = 7² + 9² - 2(7)(9) cos(H)
-126cos(H) = 25 - 49 - 81
cos(H) = -105/-126
cos(H) = 5/6
H = cos⁻¹(5/6) = 33.56°
Part 48² = 4² + 7² - 2(4)(7) cos(J)
-56cos(J) = 64 - 16 - 49
cos(J) = -1/-56
J = cos⁻¹(1/56) = 88.98°
Passcode: 3142
Related Questions
Can someone help with number 4. I will reward brainliest.
Answers
Answer:
theta = pi/6 and
theta = 5pi/6
Step-by-step explanation:
see image. Factor the expression. Solve for sin theta. Then use a calculator or unit circle to solve for theta. See image.
Let's simplify the problem down a little:
⇒ set 'sin(θ)' as x
⇒ the new equation looks like: [tex]2x^2+5x-3=0[/tex]
Now let's solve this equation as a quadratic:
[tex]2x^2+5x-3=0\\(2x-1)(x+3)=0\\\\2x-1=0\\x = \frac{1}{2} \\\\x+3 = 0\\x=-3[/tex]
Now set the x value of '1/2', to sin(θ)
it can't be -3, because trig functions can't equal a negative numbersin(θ) = 1/2
θ = π/6, which is between the range given
Answer: π/6
Hope that helps!
what type of parent function is f(x) = |x|
Answers
Answer: Absolute value function
The type of parent function is f(x)= |x| is Absolute valued function
What is Absolute valued function?
An absolute value function is a function that contains an algebraic expression within absolute value symbols.
Given function:
f(x)= |x|
As, we know the modulus generally give the absolute value of any function and also the modulus always give the positive value.
The above property perfectly resemble the absolute valued function.
Learn more about absolute valued function here:
brainly.com/question/18405415
#SPJ1
These box plots show the basketball scores for two teams.
Which statement is the most appropriate comparison of the spreads?
Answers
The most appropriate statement is the interquartile range for the Wolverines, 30 is less than the IQR for the panthers, 40.
What is the correct statement?
The box plot is used to show the distribution of data. The box plot can be used to determine the range, interquartile range and median of the data set.
The range is the difference between the two ends of the whiskers.
Range for the Wolverines = 96 - 35 = 61
Range for the Panthers = 107 - 33 = 74
The interquartile range is the difference between the first and third lines on the box
IQR for the Wolverines = 85 - 55 = 30
Range for the Panthers = 90 - 50 = 40
To learn more about box plots, please check: https://brainly.com/question/1523909
#SPJ1
Find the y-value when x = -5 for the equation y = -3x
Answers
Answer:
y=15 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
A square has a perimeter of 64 yd. What is the length of each side?
Answers
[tex]\huge\sf\color{red}{Answer:}[/tex]
Formula:
To get the length of each side just divide it by 4.Lets solve : )
64 ÷ 4 = 16.So the answer would be [tex]\large\sf\color{red}{16}[/tex]
I will give brainliest! 40 points!
ling wants to determine the average distance she travels each day in her car. she records the odometer reading, which measures the distance the car has traveled, each morning for a week.
day 1 2 3 4 5 6 7
odometer (mi) 10,150 10,211 10,424 10,769 10,884 11,155 11,477
what is the mean distance ling travels each day? show your work.
Answers
Answer:
221.16
Step-by-step explanation:
Find the difference between each day. Add all the differences together, then divide that number by 6 (the number of differences) to find the mean.
Answer:
189.57 miles per day.
Step-by-step explanation:
I took the test
Line segment pr is a directed line segment beginning at p(-10,7) and ending at r(8,-5). find point q on the line segment pr that partitions it into the segments pq and qr in the ratio 4:5.
Answers
[tex]\textit{internal division of a line segment using ratios} \\\\\\ P(-10,7)\qquad R(8,-5)\qquad \qquad \stackrel{\textit{ratio from P to R}}{4:5} \\\\\\ \cfrac{P\underline{Q}}{\underline{Q} R} = \cfrac{4}{5}\implies \cfrac{P}{R} = \cfrac{4}{5}\implies 5P=4R\implies 5(-10,7)=4(8,-5)[/tex]
[tex](\stackrel{x}{-50}~~,~~ \stackrel{y}{35})=(\stackrel{x}{32}~~,~~ \stackrel{y}{-20})\implies Q=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-50 +32}}{4+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{35 -20}}{4+5} \right)} \\\\\\ Q=\left( \cfrac{-18}{9}~~,~~\cfrac{15}{9} \right)\implies Q=\left( -2~~,~~\cfrac{5}{3} \right)[/tex]
I need help with area
The question 5 and 6
Answers
hb/2 where h is height and b is base so
5: (5.4)(8.5)/2=22.95 yds
6: (5.1)(8.6)/2=21.93 ft
If Q, DE=FG. Which must be true? Select all that apply.
Answers
Answer:
A and E
Step-by-step explanation:
A is already given by the basic fact that DE = FG. this makes the 2 lines automatically also congruent.
but this does not tell us anything about EF.
E and F could be very close together or far apart, and still DE = FG can be true in either case.
and that is why B, C and D could be true, but they are not in all cases true, and therefore these statements are in general false.
Omar keeps track of the number of people inside a music hall to attend a concert by
looking at the number of scanned tickets. He plotted the data on the graph below,
where z 0 represents the time at 6 p.m., then drew a line of best fit. If we extended
the line, what would the value of y tell us when x= 3
Answers
Answer:
Lamar wants to predict the number of customers who may be interested in going to a music festival when a ticket to the festival costs $25. Using survey data, Lamar drew a line of best fit to make his prediction. Which should Lamar predict to be the number of customers interested in attending the music festival when the ticket price is $25?/
no solution, one solution, or infinitely many solutions?
Answers
8v + 3 -4v = 4v + 5 -3 has infinitely many solutions
7v - 11 = 7v + 11 has no solution
3(v-4) = 2(v-6) has one solution
5(2v+3) - 2 = 12v + 12 -2v has no solution
When does an equation have one solution, no solution or infinitely many solutions?A linear equation is said to have infinitely many solution when the variable term and the constant term are the same on both sides of the equation.
A linear equation is said to have no solution, if the coefficient of the variable term is zero and the constant term a non-zero term
A linear equation is said to have one solution if the coefficient of both the constant term and the variable terms are no zero.
Analysis:
8v + 3 -4v = 4v + 5-2
4v +3 = 4v+3
The equation has an infinitely many solutions
7v-11 = 7v+11
7v-7v = 11+11
0v = 22
The equation has no solution since the coefficient of the variable term is 0
3(v-4) = 2(v-6)
3v -12 = 2v - 12
v = 12-12 = 0
The equation has one solution
5(2v+3) -2 = 12v + 12-2v
10v+15-2 = 10v +12
0v = -1
The equation has no solution.
In conclusion,
8v + 3 -4v = 4v + 5 -3 has infinitely many solutions
7v - 11 = 7v + 11 has no solution
3(v-4) = 2(v-6) has one solution
5(2v+3) - 2 = 12v + 12 -2v has no solution
Learn more about equations with infinitely many solutions: brainly.com/question/11695252
#SPJ1
A jar has 10 red marbles, 6 purple marbles, and 4 turquoise marbles. Grace wins if she selects a turquoise marble from the jar. Is this game fair? Why or why not?
Yes, the game is fair because Grace has equal probabilities of winning and losing.
Yes, the game is fair because Grace has equal probabilities of choosing a marble of either color.
No, the game is not fair because Grace has equal probabilities of winning and losing.
No, the game is not fair because Grace has a higher probability of choosing a marble of another color.
Answers
Please Help! The value of x is:
Answers
Answer:
9
Step-by-step explanation:
5*x=15
X=3
3*3=9
[tex]\\ \rm\dashrightarrow \dfrac{5}{3}=\dfrac{15}{x}[/tex]
[tex]\\ \rm\dashrightarrow 5x=45[/tex]
[tex]\\ \rm\dashrightarrow x=\dfrac{45}{5}[/tex]
[tex]\\ \rm\dashrightarrow x=9[/tex}
The number of guppies in an aquarium is doubling every day. there are 4 guppies initially in the aquarium. a) write an exponential function for the guppy population in the aquarium. b) how many guppies are in the aquarium after 4 days
Answers
if the guppies are doubling, that means whatever they were yesterday, today is 100% more, so the rate of growth is 100%.
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=\textit{elapsed time} \end{cases} \\\\\\ A=4(1 + 1.)^{t}\implies A=4(2)^t~\hfill \stackrel{\textit{after 4 days, t = 4}}{A=4(2)^4}\implies A=64[/tex]
answer the question below, will give brainliest to first answer
Answers
Answer:
deductive reasoning
Step-by-step explanation:
it is based on what is true based on what happened before
Answer:
2 option, deductive reasoning
Step-by-step explanation:
based on true events
Joshua has a ladder that is 15 feet long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 14.2 feet above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 78 degrees. Will the ladder be safe at this height? Show your work and label the diagram
Answers
Answer:
Step-by-step explanation:
Two socks are selected at random from a draw of loose socks- there are 4 green socks and 6 yellow socks
What is the probability that two of the socks will both be green if the socks are drawn without replacement
Answers
Using the hypergeometric distribution, it is found that there is a 0.1333 = 13.33% probability that two of the socks will both be green if the socks are drawn without replacement.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.In this problem, we have that the values of the parameters are:
N = 10, k = 4, n = 2.
The probability that both are green is P(X = 2), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,10,2,4) = \frac{C_{4,2}C_{6,0}}{C_{10,2}} = 0.1333[/tex]
0.1333 = 13.33% probability that two of the socks will both be green if the socks are drawn without replacement.
More can be learned about the hypergeometric distribution at https://brainly.com/question/24826394
#SPJ1
What is the sign of m/n X (-m X n squared )
positive
Negative
zero
Answers
Step-by-step explanation:
mx=n
⟹x=mn
Since m and n are both negative, x=mn will be positive.
Hence, the solution of mx=n will be a positive number.
other sulotion :-
1 pound is equivalent to ____ grams.
Answers
Answer:
1 pound is equivalent to 453.59237 Grams.
✎let's answer it :3
☟ answer
-> ( 453.59237 grams )
hope it helps
by #galadohannadivine29A. The graph is translated 2units down.
B. The graph is translated 2 units left.
C. The graph is translated 2 units right.
D. The graph is translated 2 units up.
Answers
Answer:
c
Step-by-step explanation:
the -2 causes a shift 2 units right
What is the Product?
Answers
The given,matrix is [1 -4 5 -7] Thus, the correct option is A [3 -12 15 -21].
What is the fundamental principle of multiplication?If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
The given, a matrix is
[1 -4 5 -7]
The product will be
3. [1 -4 5 -7]
[3 -12 15 -21]
Thus, the correct option is A [3 -12 15 -21].
Learn more about multiplications;
https://brainly.com/question/14059007
#SPJ1
Please help
Which equation represents a line with an undefined slope?
Answers
Answer:
x = 0
Step-by-step explanation:
The slope relation is given as :
y = mx + b
Now, if we take x = 0, there is no way of finding out the value of m as the product of mx will be equal to 0.
Hence, x = 0 represents a line with undefined slope.
x² + 8x = 10 solve this quadratic equation by completing the square
Answers
brainiestI WILL GIVE BRAINLIEST look at the right angled triangle abc
the square fits exactly inside the triangle
work out the sizes of angles x y and z
Answers
Answer:
x = 90°
y = 40°
z = 40°
Explanation (Concepts) :
A straight line has total 180° angle. A square has 4 sides of each 90° angle. A triangle is build up of 180° interior angle.
Workouts:
z + 90° + 50° = 180°
z = 180° - 90° - 50°
z = 40°
=================
x + 90° = 180°
x = 180° - 90°
x = 90°
==================
50° + 90° + y = 180°
y = 180° - 90° - 50°
y = 40°
Answer:
x = 90°y = 40°z = 40°Step-by-step explanation:
x = 90°
…………………
y = 90 - 50
= 40°
……………………………
z = 180 - (50 + 90)
= 180 - 140
= 40°
Find the LCM of 3, 7, 10
Answers
Explanation=
3|3,7,10
7|1,7,10
2 |1, 1,10
5|1, 1, 5
| 1, 1, 1
LCM of 3,7,10= 3x7x2x5
=21x10
=210 ans
What is the mean, median, and mode for this set of data:24, 20, 26, 24, 21?
Answers
Answer:
Mean = 23
Median = 24
Mode = 24
Step-by-step explanation:
Mean: The sum of all data values divided by the total number of data values.
⇒ Mean = (24 + 20 + 26 + 24 + 21) ÷ 5 = 23
Median: The middle value when all data values are placed in order of size.
Ordered data values: 20, 21, 24, 24, 26
⇒ Median = 24
Mode: The most frequently occurring data value.
20, 21, 24, 24, 26
⇒ Mode = 24
f(-2)for the function f(x)=3x-1
Answers
Step-by-step explanation:
From what I know
3x-1=0
3*(-2)-1=0
-6-1=0
=-7.
I'm not sure but u can try it.
The value of f(-2) in this function is f(-2) = -7
To solve this expression, just replace 'x' with -2. When the expression is ready, let's calculate it.
First we multiply or divide, then add or subtract.
Resolutionf( x ) = 3x - 1
f(-2) = 3 · (-2) - 1
f(-2) = -6 - 1
f(-2) = -7
So, the alternative value is f(-2) = -7
can someone help me with this problem? thank you!
Answers
Answer:
When 6x - 4 = 8, x = 2.
Step-by-step explanation:
6x - 4 = 8
Add 4 to both sides.
6x = 12
Divide both sides by 6.
x = 2
Proof:
6x - 4 = 8
Substitute variable.
6(2) - 4 = 8
Multiply 6 and 2.
12 - 4 = 8
Subtract 4 from 12.
8 = 8
Answer:
x is 2
Step-by-step explanation:
Simplify equation
What happens to one side must happen to the other
Add 4 to both sides
This tells us 6x is 12
Divide both sides by 6
X is 2
A stack of 30 science flashcards includes a review card for each of the following: 10 insects, 8 trees, 8 flowers, and 4 birds.
What is the probability of randomly selecting a tree or a flower?
Express the Probability as a reduced fraction
Answers
The probability of randomly selecting a tree or a flower is 8/15.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability of randomly selecting a tree or a flower = (number of trees / total number of flash cards) + (number of flowers / total number of flash cards)
8/30 + 8/30 = 16/30 = 8/15
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ1
The measure of angle Q is 70 degrees. Find the measure of angle p
Please answer quick please! 30 points