Unit l2 trigonometry homework 6 law of cosines
Does anyone know the answer please help!
Answers
Step-by-step explanation:
The law of cosine states that:
[tex]C^2=B^2+A^2-2AB\cos(\theta)[/tex], where C is the side opposite of angle theta, and A and B are the adjacent sides of the angle.
In this case, A is equal to 21, and B is equal to 30 (or it could also be the other way around). That means that:
[tex]C^2=21^2+30^2-2\cdot21\cdot30\cos(73)\\C=\sqrt{21^2+30^2-2\cdot21\cdot30\cos(73)}=\boxed{31.186722}[/tex] (to nearest 6 digits)
Answer:
102.61
Step-by-step explanation:
assuming that QS is the hypothesis we us the fromula like this:
[tex]30cos(73)[/tex]
which gives us 8.7711511417 or we can round to 8.77
assuming that QS is the adjacent we use:
[tex]\frac{30}{cos(73)}[/tex]
which gives us 102.609108595 or rounded to 102.61
looking at both answers we can see that 102.61 would be the correct answer.
Related Questions
ASAPPP
-WILL MARK BRIANIST
Answers
Answer:
A. 2:1
Step-by-step explanation:
pretty sure larger numbers go first
Answer:
D) 1:2
Step-by-step explanation:
Please answer correctly I’ll mark you brainlist!
Answers
Answer: 5 cm
Step-by-step explanation:
since the last step in finding area of a triangle is divide by 2, multiply the area by 2 to get the original number
30 x 2 = 60
area/base = height
60/12 = 5
Jack is selling used computers. he is paid $15/h plus a 5% commission on sales. What dollar amount of computer sales must jack make to earn $1000 in a 40-h work week.
Answers
Answer:
8000
Step-by-step explanation:
Jack sold worth $8000 computer sales in the last week.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Jack is selling used computers. He is paid $15/h plus a 5% commission on sales.
He made $1000 in a 40-h week,
∴ He made $(15×40) = $600 for his work hours and $(1000 - 600)
= $400.
So, $400 dollars in 5% of the total sales and assuming he made a sell of $x.
∴ (5/100)×x = 400.
0.05x = 400.
x = 400/0.05.
x = 8000.
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Plz help on this as soon as possible
Answers
step and justification of root√3.5
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[tex] \large \boxed{ \boxed{ \sqrt{3.5} }}[/tex]
In this case, we are going to use the 'Babylonian method to get the square root of any positive number.We must define an error for the final result.Say, less than 0.01. In other words, we will try to find the value of the square root to at least 1 correct decimal places.
Step 1:
Divide the number (3.5) by 2 to get the first guess for the square root. first guess = 3.5 / 2 = 1.75.Step 2:
Divide 3.5 by the result obtained in stepprevious. d = 3.5 / 1.75 = 2.Roll the arithmetic mean of (d) and the obtained valuein step 1: (2 +1.75) / 2 = 1.875 (newapproach).
Error = new guess - previous value = 1.75 1.875 = 0.125.0.125 0.01. As the error> accuracy, please repeat thist happened one more time.Step 3:
Divide 3.5 by the result obtained in the previous step. d = 3.5 / 1.875 = 1.8666666667.Roll the arithmetic mean of (d) and the value obtained in step 2: (1.8666666667 + 1.875) / 2 =1.8708333334 (new approximation).Error = new guess - previous value = 1.875 -1.8708333334 = 0.00416666660.0041666666 <0.01. Once the error <accuracy, stop the process and use 1.8708333334 as the final value for the square root.Then we can say that the square root of 3.5 is 1.87 with an error less than 0.01 (actually the error is 0.0041666666). This means that the first 2 decimal places are correct. Just for comparison, the returned value using the javascript function Math.sqrt (3.5) 'is 1.8708286933869707.Note: There are other ways to calculate square root. This is just one of them.
[tex] \bold{brainlymentalmente}[/tex]
how do i do c? helppppppppppppppp
Answers
Answer:
Step-by-step explanation:
perry bought 5 nectarines for $4. how many nectarines can amanda buy if she has 16$
Answers
Circle A has center of (4, 6) and a radius of 5, and circle B has a center of (1, 0) and a radius of 15. What steps will help show that circle A is similar to circle B? (5 points) Group of answer choices Reflect circle A over the y-axis. Dilate circle A by a scale factor of 3. Translate circle A using the rule (x − 3, y + 6). Rotate circle A 180° about the center.
Answers
Answer:
Divide and then multiply the smaller ratio to get an equal ratio to the first one
Step-by-step explanation:
It helps a lot with algebra
Answer:
Dilate circle A by a scale factor of 3.
Step-by-step explanation:
In order to show if two triangles are similar you have to translate and dialate one of the triangles to compare it to the other one. So A and D are not it. The formula for C is incorrect so therefore the answer is B. Also i took the test :D
help.
step by step please
no links i will report :)
Answers
Answer: 2 1/13
Step-by-step explanation: keep change flip. keep 9/13 and then change, so you multiply 9/13x3/1 which is equal to 27/13 which is 2 1/3
Find the surface area of the square pyramid if the slant height is 13 mm.
A. 264 mm
B. 288 mm
C. 335 5 mm
D. 407 mm
Answers
Simple Question:
Find the surface area of the square pyramid if the slant height is 13 mm.
Options:
A. 264 mm
B. 288 mm
C. 335 5 mm
D. 407 mm
Answer:
A) 264mm
Step-by-step explanation:
11 x 13 = 143 = 264mm
Can you help me please
Answers
Answer:
∠1 = 48
∠2 = 132
∠4 - 132
Step-by-step explanation:
∠3 and ∠1 are vertical angles
vertical angles are congruent ( equal to each other )
So if ∠3 = 48° then ∠1 also = 48°
∠3 and ∠4 are supplementary angles
supplementary angles add up to equal 180°
Hence, ∠3 + ∠4 = 180
48 + ∠4 = 180
180 - 48 = 132
Hence, ∠4 = 132
∠4 and ∠2 are vertical angles
Like stated previously vertical angles are congruent
Hence, ∠2 = 132
Express the solution graphically of – }(2x + 1) < 3.
Answers
Answer:
The third one counting from the top.
Step-by-step explanation:
We have the inequality:
(-1/3)*(2x + 1) < 3
The first thing we need to do is isolate x on one side of the inequality.
First we can by -3 in both sides of the inequality, and remember, because we are multiplying by a negative number, the inequality sign changes its direction:
(-3)*(-1/3)*(2x + 1) > 3*(-3)
(2x + 1) > -9
Now we can subtract 1 in both sides:
2*x + 1 - 1 > -9 - 1
2*x > -10
Now we can divide by 2 in both sides:
2*x/2 > -10/2
x > -5
Then we should see a number line such that all the points at the right of -5 are colored.
The correct option is the third one, counting from the top.
*PLEASE HELP* A metal ornament is being designed such that its perimeter is created by four identical three-quarter circles as shown whose centers are connected to form a square. The ornament, both circular and square portions, made of wire that weighs 1.8 grams per inch. The square has sides that are 4 inches long.
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Questions :
(a) Determine the total length of the circular portions in terms of
pi. Show the work that leads to your answer.
(b) Determine the total length of wire needed, both circular and
square portions, to the nearest tenth of an inch.
G
(c) Determine the total weight of the ornament to the nearest
gram.
Answer:
12π
53.68 in
96.624g
Step-by-step explanation:
The total length of the circular portion :
Perimeter of circle = Circumference of the circle = 2πr ; r = radius = 2
Size of each circle is 3/4
Number of circles = 4
Number of complete circles :
4 × 3/4 = 3 complete circles
Perimeter of circle:
Number of circles * (2πr)
3 * 2 * π * 2 = 12π
Total wore needed :
Circular + Square
Perimeter of square = 4s
s=side length = 4
Total square 4 * 4 = 16
Perimeter of Square + perimeter of circle
16 + 12π = 16 + (12 * 3.14) = 53.68 in
Total weight of ornament :
1.8 g * perimeter
1.8 * 53.68 = 96.624g
can i get the answer and the explination on how to do this plz? thank uuu =) NO LINKS PLZ
Answers
Answer:
The answer is 94.5
Step-by-step:
This is actually quite simple. Although, in order to do this you will need a calculator. First, you identify which trigonomic function you will use in order to find the value of x. for this problem you need to use the COS function. The equation for this is COS67= 67/x. Because you are trying to find x you would multiply each side by x. now the equation is xCOS67= 67. because you still can't find the value of x by doing this you will need to get x by itself. To get x by itself divide each side by COS67. the equation is now x= 94/ COS67. This is where the calculator comes in. On the calculator enter 94 divided by 67 then COS function. This gives you the measure of RS.
Chad owes his mother $150. He plans to pay back $15 per week. Write an algebraic expression to show how much Chad still owes his mother based on the number of weeks.
Answers
Answer:
Step-by-step explanation:
150 - 15w
where w is the number of weeks he payed his mother the $15
A hockey bag contains 5 red jerseys, 6 blue jerseys and 7 white jerseys.
What is the probability that Jack picks a white then a blue jersey if he puts the first one back.
Answers
Answer:
7/54
Step-by-step explanation:
A hockey bag contains 5 red jerseys, 6 blue jerseys and 7 white jerseys.
Let the total number of jerseys =
5 red jerseys + 6 blue jerseys 7 white jerseys.
= 18
P(White) = 7/18
P(Blue) = 6/18
Hence, the probability that Jack picks a white then a blue jersey if he puts the first one back.
This is probability with replacement, hence:
7/18 × 6/18
= 7/18 × 1/3
= 7/54
Hi guys it's nothing much but please help me out for braniest and 50 points NO LINK'S thank you
Answers
Answer:
Step-by-step explanation:
1) A similar triangle must have the same ratios of sides. Triangle ABC and triangle LNM are similar because all the sides of LNM are 1/2 of the sides of ABC. As they are all in a 1:2 ratio, the triangles are similar.
2) ADE and ABC are similar because each angle is the same. Angle D and Angle B are the same because they are shown as the same with the same dot symbolization. Angle E and C are the same because they are shown as the same with the same curvy angle representation. ADE and ABC share A as the same angle, so all three angles are the same.
5) As triangles ABC and EDC are similar, the sides must have the same ratio. ED is similar to AB, EC is similar to AC, and CD and BC are similar. First we find the ratio. The only pair of similar lines are EC and AC, so we have to find the ratio from those two lines. EC is 15 and AC is 10/3, so we do 15 divided by 10/3 and we get 9/2. Therefore, the ratio is 9/2. Now we can find x and y. We can first look at ED and AB. Ed is 12 and AB is y. We know that it must have the same ratio of 9/2, so 12/y must equal 9/2. We can do proportions. 12/y = 9/2, 9y = 24 (you multiply the numbers diagonally). So, we get y = 8/3. Now we can get x the same way. BC and CD are similar, and so x/5 must equal 9/2 as well. We use proportions again and we have x/5 = 9/2, so 45 = 2x and x = 45/2.
Answer:
4.ADE /// ABC (same <s)
<D = <B (corresponding <s)
<E = <C (corresponding <s)
ADE and ABC share A as the same < so all <s are = (AAA )
Find the measure of angle x in the figure below.
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What is the solution of the equation 56 = 2.8y?
A. y = 20
B. y = 156.8
C. y = 2
D. y = 58.8
Answers
what would you do to rationalize the denominator and simplify [tex]\frac{5}{\sqrt{2} }[/tex]
Answers
Answer:
(5√2) / 2
Step-by-step explanation:
Multiply
(5 / √2) * (√2 / √2) = (5√2) / 2
hope this will help you
good luck
Find the number of degrees in the third angle of
the triangle
The figure is not drawn to scale.
The measure of the missing angle I'd 100 43
Answers
Answer:
37
Step-by-step explanation:
triangles' inside angles always equal 180. so 100+43=143. 180-143=37
PLEASE HELP, WILL GIVE BRAINLIEST
no links pls, i really need help
Answers
Answer:
4 units to the right
Step-by-step explanation:
the bigger units subtracted by the smaller units and the direction it is going
Answer:
I'm pretty sure the answer is D because a net force can't be just balanced to one side if there are two different forces, I hope this helps.
Step-by-step explanation:
A factory makes 1,200 shirts every 6 hours. The factory makes shirts for 9 hours each workday. How many shirts does the factory make per hour? shirts per hour How many shirts does the factory make per workday (9 hours) ? shirts per workday How many workdays will it take to make 12,600 shirts? workdays
Answers
Answer:
they make 200 per hour and 1800 every 9 hours and it would take 7 workdays to make 12,600
Step-by-step explanation:
yep I'm smart
Is this shape a polyhedron? If it is what is the name of the shape?
Answers
"Y 1
Themba deposited R100 000 in the bank which offers 5,5% per annum simple interest
His intention is to buy a car after 4 years
1.1
Write interest rate as decimal per annum
Answers
Answer:
1 ramdhjajdjejjejdnsns
What is the scale factor?
Answers
Answer:
I send you a pic
Step-by-step explanation:
is that help?
You can write the equation of the line if you have two points on the line.
Is that true or false?
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PLEASE HELP DUDE. I JUST NEED THE ANSWER .A scuba diver is 356 feet below the surface of the water. The angle of depression the diver makes with her boat is 39degrees
To the nearest foot, how far is the diver from the boat?
A
566 ft
B
176 ft
C
161 ft
Answers
The diver is approximately 276.5 feet away from the boat to the nearest foot.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
We can use the tangent function to solve this problem.
Let x be the distance from the boat to the point directly below the scuba diver on the water's surface.
Then we have:
tan(39°) = x/356
Multiplying both sides by 356, we get:
x = 356 tan(39°)
x = 276.5
Therefore,
The diver is approximately 276.5 feet away from the boat to the nearest foot.
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16,4,1,...
Find the 6th term.
Answers
Answer:
1/64
Step-by-step explanation:
You divide by 4 each time.
It goes 16,4,1,1/4,1/16, 1/64 and so on
An automobile's velocity, starting from a complete stop, is v(t) =140t/5t - 6 where v is
measured in feet per second. After what elapsed time would the automobile reach a
velocity of 44 Feet per second?
Answers
Answer:
3.3 seconds
Step-by-step explanation:
v(t) =140t/5t - 6 where v is velocity
The time, t when, v = 44 ft/s
Put v = 44 ft/s in the equation :
44 = 140t / 5t - 6
44(5t - 6) = 140t
220t - 264 = 140t
-264 = 140t - 220t
-264 = - 80t
Divide both sides by 80
264 / 80 = 80t/80
3.3 = t
Hence, automobile will reach a velocity of 44 ft /s after 3.3 seconds
The elapsed time would the automobile reach a velocity of 44 Feet per second is 3.3 seconds
Calculation of the elasped time:Since
An automobile's velocity, starting from a complete stop, is v(t) =140t/5t - 6 where v is measured in feet per second.
So, the time should be
[tex]44 = 140t \div 5t - 6[/tex]
44(5t - 6) = 140t
220t - 264 = 140t
-264 = 140t - 220t
-264 = - 80t
3.3 = t
Hence, The elapsed time would the automobile reach a velocity of 44 Feet per second is 3.3 seconds
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