Answers
Answer:
b) [tex]\sin(B) = \frac{\sqrt 2}{2}[/tex]
e) [tex]\tan(B) = 1[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
The true statement about B
The given options show that we determine the correct trigonometry ratio of B.
So, we have:
[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]
This gives:
[tex]\cos(B) = \frac{a}{c}[/tex]
Where:
[tex]a = 3mm\\c = 3\sqrt 2 mm[/tex]
[tex]\cos(B) = \frac{3}{3\sqrt 2}[/tex]
3 cancels out
[tex]\cos(B) = \frac{1}{\sqrt 2}[/tex]
Rationalize
[tex]\cos(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]\cos(B) = \frac{\sqrt 2}{\sqrt 2*\sqrt 2}[/tex]
[tex]\cos(B) = \frac{\sqrt 2}{12}[/tex]
Also:
[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]\sin(B) = \frac{b}{c}[/tex]
Where:
[tex]b = 3mm\\c = 3\sqrt 2 mm[/tex]
[tex]\sin(B) = \frac{3}{3\sqrt 2}[/tex]
3 cancels out
[tex]\sin(B) = \frac{1}{\sqrt 2}[/tex]
Rationalize
[tex]\sin(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]\sin(B) = \frac{\sqrt 2}{\sqrt 2 * \sqrt 2 }[/tex]
[tex]\sin(B) = \frac{\sqrt 2}{2}[/tex]
Lastly:
[tex]\tan(B) = \frac{\sin(B)}{\cos(B)}[/tex]
This gives:
[tex]\tan(B) = \frac{\sqrt{2}/2}{\sqrt{2}/2}[/tex]
[tex]\tan(B) = 1[/tex]
Hence, (b) and (e) are true
Related Questions
Identify whether the following equation has a unique solution, no solution, or infinitely many solutions.
2( − 4) = 10 − 8 − 8
A
unique solution
B
no solution
C
infinite solutions
Answers
plz help will give crown
Answers
Answer:
x=8
Step-by-step explanation:
-2(8) would be -16 so -18 is still greater
Answer:
B
Step-by-step explanation:
all the others will have a value of more than -18. Only B makes sense.
Hope this helps! Have a great day
A woman bought a number of items for $72. She realized that if she had bought 12 more items for the same money, she would have paid $8 less per item. How many items did she buy?
Answers
Answer:
Johannes Gutenberg - Wikipediahttps://en.wikipedia.org › wiki › Johannes_Gutenberg
Johannes Gensfleisch zur Laden zum Gutenberg was a German goldsmith, inventor, printer, and publisher who introduced printing to Europe with his ...
Occupation: Engraver, inventor, and printer
Born: Johannes Gensfleisch zur Laden zum G...
Died: February 3, 1468 (aged about 68); Mainz, ...
Known for: The invention of the movable-type ...
Early life · Printing method with... · Legacy · References
People also askStep-by-step explanation:
HELPPP ITS DUE TODAY!!!
Given the function rule h(x)=6x-1, find the value of h(3)
Answers
Answer:
put x=3 in equation we get
18-1
17 is the answer
Rafael's salary last year was $49,500 and he took home
$38,610. What was his federal income tax withholding
rate?
Answers
Out of 140 students, 92 are taking an English course, 74 are taking a history course and 41 are taking both. Find the number of these 140 students who are taking a history course but not an English course?
Answers
Answer:18
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
you have to subtract the number of people doing both from the number of people doing just the history.
Write out the first five terms of the sequence.
an = n - 5
Answers
Answer:
its A
Step-by-step explanation:
took the quiz
A cable TV/Internet/phone provider charges new customers $90 for all three services, per month, for the first year
under their 90 NOW promotion. Alice normally pays $59 for her monthly home phone service, $49 for Internet
service, and $69 for cable television
1. What are her percent savings if she switches to the 90 NOW plan? Round to the nearest percent.
Answers
Answer:
49%
Step-by-step explanation:
First find how much Alice is paying for the all three service currently.
Amount paid by Alice at present= 59 + 49 + 69 = $ 177
If she switches to 90 NOW plan, then the amount saved = 177 - 90 = $ 87
Percentage of savings = (saved amount ÷ total amount she was paying at present) * 100
[tex]= \frac{87}{177}* 100\\\\= 49.15[/tex]
= 49 %
Answer:
Step-by-step explanation:
Explain how you can write a fraction equivalent to 1/4
Answers
Answer: 2/8
Step-by-step explanation: becau
Here, we have to write a fraction equivalent to [tex]\sf{ \dfrac{1}{4}} [/tex].
To find a fraction equivalent to the given fraction, we multiply a same number with the denominator and the numerator of the given fraction.Multiply 2 with the numerator and the denominator of the fraction.
→ [tex]\sf{ \dfrac{1}{4} = \dfrac { 1 \times 2}{ 4 \times 2} } [/tex]
→ [tex]\sf{ \dfrac{1}{4} = \dfrac { 2}{ 8} } [/tex]
So, a fraction equivalent to [tex]\sf{ \dfrac{1}{4}} [/tex] is [tex]\sf \red{ \dfrac{2}{8}} [/tex].
Similarly, we can multiply with another numbers (ex : 3,4,5,6) with numerator and the denominator of the given fraction to find the fractions equivalent to the given fraction.
HELP Math will give 25 brainly points
Answers
9514 1404 393
Answer:
51°
Step-by-step explanation:
The angles where the expressions are given are a linear pair, so total 180°.
(3x +15) +(10x +9) = 180
13x = 156 . . . . . . . . . . . . . . . subtract 24, collect terms
x = 156/13 = 12
Then the acute angle is ...
3x +15 = 3(12) +15 = 36 +15 = 51
The stairs make an angle of 51° with the basement floor.
_____
Additional comment
Building code requires the rise to be not more than 8 and the run not less than 9, so the maximum angle is about 41.6°. A 51° staircase would not meet code.
Please help me with the two column proof
Part 2B
Answers
Answer:
Step-by-step explanation:
I can't read the diagram well enough to tell you how exactly this should be done and I've been reprimanded a couple of times for using comments to solve problems, but this much I can tell you.
You need 2 angles
One comes from vertical angles being equal.
the other comes from the other end of the line that is bisected. Be careful to chose this angel. The two angles are equal because the lines are parallel.
Now what you have is ASA which always proves congruency. AAS should never be used if you can avoid it. If you search out AAS on the internet you will find long discussions on why AAS should never be used.
In this case it will work but even if it does, it should be avoided because you may run into questions where there are conditions that make AAS incorrect. Even if you are told it is OK in your lessons, you should not do it.
lecture ends.
Sorry.
what is the diameter of a circle with a radius of 4.375"? 2.187" or 2.375" or 8.375" or 8.750"
Answers
What is the area of this figure? 30yd 5yd 18yd 18yd 13yd 12yd
Answers
Answer:
50544
Step-by-step explanation:
18x18x13x12=50544
The equation 4(x − 2)=100 is a true equation for a particular value of x. Explain why 2(x − 2)=50 is also true for the same value of x.
Please type the answer not a link
Answers
Answer:
See below.
Step-by-step explanation:
4(x − 2)=100
Divide both sides by 2.
4/2 (x - 2) = 100/2
2(x - 2) = 50
Since the equation 2(x - 2) = 50 is obtained by dividing the both sides of the first equation by 2, and that is a legal operation because of the division property of equality, then the second equation is equivalent to the first equation and has the same solution.
The predicted population of Andover t years after 2010 can be modeled by the following equation.
g(t) = 900(1.02)
The predicted population of Hornell t years after 2010 can be modeled by the following table.
t 0 5 10 15 20
f(t) 1,000 1,762 3,105 5,473 9,646
Based on these predictions, which city will have a greater average rate of change in population between 2010 and 2020?
O Both cities will have the same average rate of change of population.
O This cannot be determined from the given information.
O Andover
O Hornell
Answers
Answer:
Step-by-step explanation:
Answer: Hornell
Step-by-step explanation:
What’s the correct answer for this?
Answers
Answer:
6
Step-by-step explanation:
The numerator is the number of apples and the denominator the total number of fruit.
There are 6 apples, then numerator = 6
Answer:
if jasmine writes the fraction of fruit that are apples and does not reduce the fraction...
●6/10
USE THEE DISTRIBUTIVE PROPERTY 3(m+6)+7(m-2)
Answers
Answer:
[tex]10m + 4[/tex]
Step-by-step explanation:
Distribute.
3(+6) + 7(−2)
3 + 18 + 7(−2)
Distribute again.
3 + 18 + 7(−2)
3 + 18 + 7−14
Subtract the numbers.
3 + 18 + 7−14
3 + 4 + 7
Combine like terms.
3 + 4 + 7
10 + 4
Estimate 58.311+49.35 by first rounding each number to the nearest whole number.
Answers
Answer:
≈107
Step-by-step explanation:
58.311 will round down since 0.311 is less than half or 0.5. It will become 58. 49.35 will also round down since 0.35 is less than 0.5. This will be 49. 58+49=107. Since 107 is not the exact answer, you will use the approximately sign, or ≈.
Can you help please?
Answers
Answer:
I say area b or area c
Step-by-step explanation:
dont have none
area b or c thats what I think
HELP ASAP!!! I’m very confused and I need help. Thank you!!!!
Answers
Answer:
Triangle 2: 7, 24 and 25.
Step-by-step explanation:
To find the triangle with its dimensions being that of a right angle triangle;
We would have to apply Pythagorean' theorem.
Let the length of sides of the triangle be;
Opposite side = a
Adjacent side = b
Hypotenuse side = c
From Pythagorean theorem;
c² = a² + b²
When a = 7, b = 24 and c = 25
25² = 7² + 24²
625 = 49 + 576
625 = 625
This ultimately implies that, the square of the hypotenuse of a right angle triangle is equal to the sum of the square of its opposite and adjacent sides according to Pythagorean' theorem.
An angle with measure seven pi over 4 radians is in standard position. In which quadrant does its terminal side lies
Answers
Answer:
Step-by-step explanation:
In a snail-racing contest, Noba’s snail crawled 1.677 m in 5 min.
About how far did the snail travel each minute?
Answers
Answer: 12 hours
Step-by-step explanation:
Let's set the speed as "s".
Remember that distance = speed * time
So, plugging the numbers given...
7 = s * 8.4
Divide both sides by 8.4
s = 5/6
Now, plug this into the distance = speed * time, with the distance being 10. Set the time as "t"
10 = 5/6 * t
Divide both sides by 5/6
12 = t
So, it would take 12 hours for the snail to crawl 10 miles.
Questions and answers attached
Answers
Answer:
(3)(c) + 43 ≥ 100
Step-by-step explanation:
Given:
Total number of friends = 3 friends
Number of card already have = 43
Total number of card at least want to collect = 100
Find:
Inequality
Computation:
Assume;
Same number of card each friend collect = c
Total number of card at least want to collect ≤ (Total number of friends)(Same number of card each friend collect) + Number of card already have
Total number of card at least want to collect ≤ (3)(c) + 43
100 ≤ (3)(c) + 43
(3)(c) + 43 ≥ 100
Help help help please help help helpp
Answers
Answer:
(4⋅2x)+(-2+4)=8x+2
2⋅3(1a+1a)=
6a+6b
I hope these are okay, and what you were asking for. I hope this helped! +*♡
which is the best estimate for 10 drops of liquid?
A. IL
B. 1 cL
C. 1 mL
D. 1dL
E. 1 KL
Hurry please!!
Answers
Answer:
The answer is a A. I just took a short test about it.
Step-by-step explanation:
plz give brainliest and rating
Isaiah ran 100 meters on a 200 meter track. He started running on the 19 meter mark. On what Mark did he finish his run
Answers
Answer:
119
Step-by-step explanation:
19+100=119
Which angle is supplementary to 15?
Answers
9514 1404 393
Answer:
∠14
Step-by-step explanation:
Angle 15 forms a linear pair with angles 14 and 16. Each of those is supplementary to angle 15. Only angle 14 is listed as a choice.
he point A has coordinates A(2, 4). What are the X-coordinates of A′ for the dilation D1.5(A)?
Answers
Answer:
(3,6)
Step-by-step explanation:
For dilation, you just multiply the coordinates by the scale factor (in this case 1.5) to get the answer! Hope that helps :)
Find the area of each figure answer asap
Answers
Does anyone know?????
Answers
Answer:
I think it's C
Step-by-step explanation:
if it's not C then I'm sorry
