I assume you mean β in place of 8.
Remember that tangent is defined as
tan(β) = sin(β) / cos(β)
so that
cos(β) = sin(β) / tan(β) = (-4/5) / (4/3) = -3/5 … … … [D]
Name r 13 EUA 18. Find the measure of angle A Date Period A 16 139° B A= 13 20 19. Solve the triangle ABC with side lengths a = 14cm, b = 9cm, c = 6cm a = A= b = B= C= C =
Answer:
A = 137° a = 14 cm
B = 26° b = 9 cm
C = 17° c = 6 cm
Step-by-step explanation:
Cosine rule
[tex]c^2=a^2+b^2-2ab\cos (C)[/tex]
[tex]\implies C=\cos^{-1}\left(\dfrac{c^2-a^2-b^2}{-2ab}\right)[/tex]
where:
c is the side opposite angle Ca and b are the sides with C as the included angle.Given:
a = 14 cmb = 9 cmc = 6 cm[tex]\implies C=\cos^{-1}\left(\dfrac{6^2-14^2-9^2}{-2(14)(9)}\right)[/tex]
[tex]\implies C=\cos^{-1}\left(\dfrac{241}{252}\right)[/tex]
[tex]\implies C=16.99128694..\textdegree[/tex]
Sine Rule
[tex]\sf \dfrac{sinA}{a}=\dfrac{sinB}{b}=\dfrac{sinC}{c}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
[tex]\sf \implies \dfrac{sinB}{9}=\dfrac{sin(16.991..)}{6}[/tex]
[tex]\sf \implies B=sin^{-1}\left(\dfrac{9sin(16.991..)}{6}\right)=25.99797699...\textdegree[/tex]
Sum of interior angles of a triangle = 180°
⇒ ∠A + ∠B + ∠C = 180°
⇒ ∠A = 180° - 25.997...° - 16.9912...°
⇒ ∠A = 137.0107361...°
what is lim x -> 7 ... (see image)
Answer:
I think 1/6
Step-by-step explanation:
because 2-3/1-7= -1/-6 so (-)and(-) is a (+)
so 1/6
what the 51st term of -17, -25, -33
Answer:
The 51st term of the arithmetic sequence is - 417
Step-by-step explanation:
The formula for determining the nth term of an arithmetic sequence is expressed as Tn = a + d(n - 1)
Where a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 17
d = - 25 - - 17 = - 33 - - 25 = - 8
n = 51
We want to determine the value of the 51st term, T51. Therefore,
T51 = - 17 + - 8(51 - 1)
T51 = - 17 - 400
T51 = - 417
How many different possible outcomes are there if you roll three six-sided dice in the shape of a cube?
Answer:
There are 36 outcomes. Of these, there are 2 that have both 1 and 3.
In each rule, copy the chart and fill in the missing parts. (Please answer the last 4.)
Answer:
Step-by-step explanation: For x it's 2x+2, for y it's y/2-1, for 2x it's 4x+2, and for x+3 it's 2x+8
1. 2x+2
2. y/2-1
3. 4x+2
4. 2x+8
Hope this helps :)
Yael worked out at the gym for 2 hours. Her workout consisted of stretching for 21 minutes, jogging for 45 minutes, and lifting weights for the remaining amount of time. What percentage of Yael's workout was spent lifting weights?
Answer:
54
Step-by-step explanation:
Well you have 120 minutes at the gym
Minus 21 minutes for stretching
Minus Jogging for 45 minutes
120-66=54
So 54 minutes spent lifting
How do I do this answer
Answer: there is nothing here
Step-by-step explanation:
What two equivalent fractions for 8/8?
Answer:
2/2. and 4/4
Step-by-step explanation:
because 8/8 is 1 and 2/2 and 4/4 are both 1 .
do u mind giving me brainlest im trying to level up.
thank u
A bag contains green and black counters.
1
-
4
of the counters are black
Write the ratio of green to black counters.
Answer:
3:1
Step-by-step explanation:
if 1/4 of the counters are black then it means the total counters are 4 and so there are 3 remaining and those become the green counters
The ratio of green to black counters is 3:1
What is the Ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that A bag contains green and black counters, 1/4 of the counters are black.
Since, 1/4 is black counters therefore, 1 - 1/4 are green counters
So, there are 3/4 green counters
Ratio = (3/4)/(1/4) = 3/1 3:1
Hence, The ratio of green to black counters is 3:1
For more references on Ratio, click;
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if someone found three rocks and the first rock was 19.28 grams and the second rock was 25.3 grams the third rock had the mass of 46.3 grams how much greater was the mass of the third rock than combined mass of the other two rocks
12 people are waiting at a subway stop to get on the train. However, the train only has space for 9 people to board. How many different combinations of people can get on the train?
220
220
1,320
1,320
13,305,600
13,305,600
79,833,600
79,833,600
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What is the total amount Mrs. Harrison will pay back
Answer:
You have to give a reference or a picture or a number or something.
Step-by-step explanation:
We can't guess what the numbers are you have to state them.
Answer:
$654
No explanation! sorry!
-16x^2+150x=425 solve for x
Answer:
[tex]x_{1}=\frac{75}{16}-\frac{5\sqrt{47} }{16}i , x_{2}=\frac{75}{16}+\frac{5\sqrt{47} }{16}i[/tex]
Step-by-step explanation:
Hey guys I need help with this no links and please explain your work
Answer:
x = 0.17
Step-by-step explanation:
Solve for x:
First, take the ln of both sides:
ln(1/16) = ln(8^(4x-2))
You can now bring down (4x-2) in front of the ln:
ln(1/16) = (4x-2)ln(8)
ln(1/16)/ln(8) = 4x-2
4x = ln(1/16)/ln(8) + 2
x = ln(1/16)/4ln(8) + 1/2
x = 0.17
Triangle ABC has vertices at (5, 0), (- 1, - 4) , and (3, - 6) . What is the perimeter of ABC , rounded to two decimal places ?
Answer:
18.01 units to 2 dec. places.
Step-by-step explanation:
Calculate the length of the 3 lines of the triangle
AB = √ [(5 --1)^2 + ( 0 - -4)^2]
= √(36 + 16)
= √52
= 7.211.
BC = √ [(-1-3)^2 + (-4- -6)^2]
= √(16 + 4)
= √20
= 4.472.
CA = √ [(3-5)^2 + (-6-0)^2]
= √(4 + 36)
= √40
= 6.325.
So the perimeter = 7.211 + 4.472 + 6.325
= 18.008
The coordinate plane represents a map of a town. Each unit represents 1 mile.
A post office is located at (4-2). The town is considering constructing a library exactly 4 miles north or south of the post office
Plot a point that represents one of the locations the town is considering for the library
Drawing Tools Click on a tool to begin dowing Delete Undo
Select
Retet
Point
Answer:
(4, 2) or (4, -6)
Step-by-step explanation:
Going 4 miles north would move the point (4, -2) 4 units up. When done so, the point (4, 2) is reached.
Going 4 miles south would move the point (4, -2) 4 units down. When done so, the point (4, -6) is reached.
A graph is shown below for further conformation.
hope this helps!
PLEASE HELP (easy points)
Answer:
the first one i think
Step-by-step explanation:
Need help with this question.
Answer:
D
Step-by-step explanation:
Hope this Helps!
Tyrone wants to know how much wrapping paper is
needed to cover a box with the dimensions shown,
1 in
6 in
1 in
3 in 1 in 11n
3 in
1 in
3 in
What is the surface area of the box?
A. 48 square inches
B. 27 square inches
O C. 18 square inches
D. 54 square inches
Please help quick! :)
Answer:18
Step-by-step explanation:
A train traveled 1/5 of the distance between two cities and 3/4 of an hour at this rate how many hours will it take the train to travel the entire distance between these 230
Answer:
15/4 or 3 3/4
Step-by-step explanation:
since 1/5 has 1 as a numerator,
5 x 3/4=
15/4
it will take about 3 hours and 45 minutes
Some red, white, and blue candies
were placed in a bowl. Some contain nuts,
and some do not. Suppose one of the candies were chosen randomly from all
the candies in the bowl.
probability?
Which of the following represents a conditional
O A. The probability that it does not contain any nuts, given that the
candy is red
B. The probability that it contains nuts and is white
O c. The probability that the candy is not red
• D. The probability that the candy is blue
Reason:
The keyword "given" is a universal indicator we're dealing with conditional probabilities. It sets up prior knowledge to reduce down the sample space.
The fact that we know the candy is red means that we only focus on the red candies (and shrinks down the set).
Conditional probability is represented by probability that the candy is blue.
What is Conditional Probability?One of the fundamental ideas in probability theory is the idea of the conditional probability formula. The conditional probability formula calculates the likelihood of an event, say B, given the occurrence of another event, say A.
By knowing the conditional probability of event B given that event A has occurred and the individual probabilities of events A and B, the Bayes theorem may be used to calculate the conditional likelihood of event A given that event B has occurred.
We have,
Some red, white, and blue candies were placed in a bowl.
Some contain nuts, and some do not.
Here we are only focusing on the red candy which shows we have reduce the sample space.
Learn more about conditional probability here:
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answer this and win 20 points
Answer:0.18%
Step-by-step explanation: It is simply but how you know that it is a percentage and you then have to add it as a decimal.
solve the quadratic figures 3x^2 + x - 5
To solve this quadratic equation we should first see if it is possible to factorise it into two seperate brakets. In this case there are no numbers which multiply to give -5 and add to give 3. Thus we should resort to using the quadratic formula which is used when equations cannot be solved by inspection. The quadratic formula is x=(-b+-(b2-4ac)1/2)/2a. Values for a,b and c can be lifted from the question. ax2+b-c=0 so in this question a=3 b=1 and c=-5. Inputing these into the equation will give two results.
The answers are
x=1.135 or x=-1.468
both of these answers make the original equation true
Answer: it would be 15
Step-by-step explanation:
Wanwan is 1.69 m tall and is flying a kite. She holds the string of the kite just above her head. The string is 80 m long and makes, x°, between 54° and 55° with the horizontal. Assuming that the string is taut, estimate (2 decimal places) the vertical height of the kite from the ground
Since, the kite is taut the vertical height of the kite from the ground is 66.82 meters
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.
Therefore, the string length is the hypotenuse side. The angle formed is between 54 degree to 55 degrees. Therefore,
sin 54.5 = opposite / hypotenuse
sin 54.5 = h / 80
cross multiply
h = 80 × sin 54.5
h = 80 × 0.81411551835
h = 65.1292414685
Therefore, the vertical height of the ground from the ground is as follows:
vertical height = 65. 13 + 1.69 = 66.82 meters
learn more on right triangle here: https://brainly.com/question/22257626
Please help this is due in the morning
Step-by-step explanation:
Using the Theorem,
LN*NL = KN*NJ
(7x-11)*14 = 16*(3x+6)
98x - 154 = 48x + 96
98x-48x = 96+154
50x = 250
x= 250/50
x= 5 MARK ME AS BRAINLISTheyyyy does anyone know the answer please help me!!!!!
Answer:
B) x² + 5x + 19
Step-by-step explanation:
(2x² + 7x + 10) - (x² + 2x - 9)
==> remove parenthesis and apply negative sign
2x² + 7x + 10 - x² - 2x + 9
==> combine like terms
x² + 5x + 19
the answer is B
Important Note:
Like terms are terms with the same variable and exponent. Eg. 5x³ and x³ are like terms because they both have a common variable x, and a power of 3.
Answer:
B) [tex]x^2+5x+19[/tex]
Step-by-step explanation:
[tex](2x^2+7x+10)-(x^2+2x-9)[/tex]
[tex]\textsf{Apply rule}\:(a)=a:[/tex]
[tex]=2x^2+7x+10-(x^2+2x-9)[/tex]
[tex]\textsf{Apply distributive law}\:-(a+b)=-a-b\:\textsf{ and }\:-(a-b)=-a+b:[/tex]
[tex]= 2x^2+7x+10-x^2-2x+9[/tex]
Group like terms:
[tex]= 2x^2-x^2+7x-2x+10+9[/tex]
Combine like terms:
[tex]= x^2+5x+19[/tex]
What is halfway between 400,000 and 500,000?
Answer:
450,000
This is because 400,000 and 500,000 have no other numbers that could be the middle, so it has to be directly in-between both numbers.
__________________________________________________________
Questions related to this topic? Please ask me in the comments box.
Answer:
450,000
Step-by-step explanation:
500,000-400,000 = 100,000
100,000/2 = 50,000
400,000 + 50,000 = 450,000
Finding half of the value between 500,000 and 400,000 results in 50,000 and you can add that to the lesser value to get to the halfway point between the two numbers.
The circumference of the circle is 87.92 cm. What is the diameter? (Use 3.14 for .)
Answer: The diameter is 28cm
Step-by-step explanation:
Circumference is [tex]2\pi r[/tex] where r is the radius or just [tex]\pi d[/tex] where d is the diameter. For this, we'll use the one with the diameter.
[tex]87.92=3.14d\\\frac{87.92}{3.14} =\frac{3.14d}{3.14} \\28=d[/tex]
Write a story problem with a diver and the values -20 and +15.
20/3=x/6 what does X equal
Answer:
x equals 40 since 3 × 2 is 6 you do 20 × 2 which is 40