Please help!
Please do not just give the answer, also explain please because I need to know how to do this.
Find the value of X
Answers
Answer:
x = 6.5
Step-by-step explanation:
In order to solve this problem, you need to use trigonometry (sin, cosine, tangent).
Sin = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
We need to use tangent in this case because 10 is the opposite side from the 57° angle, and x is right next to it, making it adjacent. So, our equation would look like this:
tan (57)° = 10/x
Multiply both sides by x
x (tan (57)°) = 10
Divide both sides by tan (57)°
10 / tan (57)° = 6.49408 = 6.5
Step-by-step explanation:
We are given two angles measures and one side. Notice the given angle and the side that is opposite to that given angle is given. We need to find side x. But can we also find the angle opposite of the side we are trying to find. Yes we can
Remeber that triangles interior angles add up to 180.
Remeber that triangles interior angles add up to 180.One angle measure 90 and the other measure is 57 so
[tex]90 + 57 + x = 180[/tex]
[tex]x = 33[/tex]
So the angle opposite of the side we are trying to find is 33.
Since we know two angles and two sides that are opposite of those two angles respectively, we can use what is called Law of Sines
[tex] \frac{b}{ \sin(b) } = \frac{c}{ \sin(c) } [/tex]
where the numerator are the side measures, and the denominator are the angle measures.
Plug in the respectively values. Angle 57 is opposite of 10 and Angle 33 is opposite of x.
[tex] \frac{10}{ \sin(57) } = \frac{x}{ \sin(33) } [/tex]
Multiply both sides by sin 33 to isolate x.
We get
[tex]x = 6.494[/tex]
Round if needed
In other words, apply law of sines when you have two angles and two sides that are opposite of those angles respectively.
Related Questions
Simplify 5/8+3/4+2/5
Answers
David makes 17 dollars in an hour and works 25 hours a week.linda makes 25 dollars a hour abd works 7 hours each week. How much do they both make together
Answers
Step-by-step explanation:
David makes 17(25)
and
Linda maked 25(7)
so it would make the equation 17(25)+25(7)
425+175 together they would be making
600 dollars a week
5 1/2
score
Help plz
Answers
If ya'll could help me with this one, it would be highly appreciated :]
Answers
Answer:
THE ANSWERE IS POINT B
And the scale factor is 2/6 I'm not so sure of this one :-[
Step-by-step explanation:
Please give me brainliest I did help you right?
ABCD is rotated counterclockwise about the origin. By how many degrees
was ABCD rotated?
O A. 360°
• B. 180°
• C. 270°
O D. 90°
Answers
Answer:
B. 180 degrees
Step-by-step explanation:
They are exactly across from one another. Here, this will make more sense.
0 (starting point)
|
270-- -- 90
|
180 (where you ended up)
Now till the screen towards the right. The zero and the 180 should be pointing in the same direction as the squares.
Degrees was ABCD rotated or transformed to form A'B'C'D' is 180 degrees about the origin .
What is rotation in graph?In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. A rotation is an example of a transformation where a figure is rotated about a specific point (called the center of rotation), a certain number of degrees.
According to the question
ABCD is rotated counterclockwise about the origin.
Degrees was ABCD transformed to form A'B'C'D' is
180 degrees about the origin
As when we rotate a figure of 180 degrees about the origin either in the clockwise or counterclockwise direction, each point of the given figure has to be changed from (x, y) to (-x, -y) and graph the rotated figure.
So, as per figure ABCD which is in first quadrant were x and y both are positive and figure A'B'C'D' third quadrant were x and y both are negative.
Hence, Degrees was ABCD rotated or transformed to form A'B'C'D' is 180 degrees about the origin .
To know more about rotation in graph here:
https://brainly.com/question/12091224
#SPJ2
PLEASE HELP ASAP -- WITH THE WORKK
50 points
Answers
Part-A:-
(f×g)=[tex]\\ \sf\longmapsto x^2+3x-70(4x-12)[/tex]
[tex]\\ \sf\longmapsto 4x^2+12x-280-12x^2+36x+840[/tex]
[tex]\\ \sf\longmapsto -8x^2+48x+560[/tex]
Now
[tex]\\ \sf\longmapsto (f.g)(3)[/tex]
[tex]\\ \sf\longmapsto -8(3)^2+48(3)+560[/tex]
[tex]\\ \sf\longmapsto -72+144+560[/tex]
[tex]\\ \sf\longmapsto 72+560[/tex]
[tex]\\ \sf\longmapsto 632[/tex]
Part-B:-
[tex]\\ \sf\longmapsto f(3)[/tex]
[tex]\\ \sf\longmapsto (3)^2+3(3)-70[/tex]
[tex]\\ \sf\longmapsto 9+9-70[/tex]
[tex]\\ \sf\longmapsto 18-70[/tex]
[tex]\\ \sf\longmapsto -52[/tex]
Now
[tex]\\ \sf\longmapsto g(f(3))[/tex]
[tex]\\ \sf\longmapsto g(-52)[/tex]
[tex]\\ \sf\longmapsto 4(-52-3)[/tex]
[tex]\\ \sf\longmapsto 4(-55)[/tex]
[tex]\\ \sf\longmapsto -220[/tex]
Part:-C
[tex]\\ \sf\longmapsto g(-2)[/tex]
[tex]\\ \sf\longmapsto 4(-2-3)[/tex]
[tex]\\ \sf\longmapsto 4(-5)[/tex]
[tex]\\ \sf\longmapsto -20[/tex]
Now
[tex]\\ \sf\longmapsto f(g(-2))[/tex]
[tex]\\ \sf\longmapsto f(-20)[/tex]
[tex]\\ \sf\longmapsto (-20)^2+3(-20)-70[/tex]
[tex]\\ \sf\longmapsto 400-60-70[/tex]
[tex]\\ \sf\longmapsto 400-130[/tex]
[tex]\\ \sf\longmapsto 270[/tex]
Part-D:-
g×f=f×g[tex]\\ \sf\longmapsto (g.f)(-2)[/tex]
[tex]\\ \sf\longmapsto -8(-2)^2+48(-2)+560[/tex]
[tex]\\ \sf\longmapsto 32-96+560[/tex]
[tex]\\ \sf\longmapsto -64+560[/tex]
[tex]\\ \sf\longmapsto 496[/tex]
1.Can someone explain to me about decimal place? take this as example. please help me.
2. and also, please help me with significant figures, i don't understand it.
Answers
Example: In the number 258.16, the decimal point separates the whole number 258 from the fractional part 16, which is 16 hundredths.
And for significant figures if there is a zero between two non-zero digits then it is a significant figure.
For example; 4.5006 have five significant figures.
Zeroes at the end or on the right side of the number are also significant.
For example; 0.500 has three significant figures.
Donna cut a wire into 7 equal pieces. The wire was originally 9.52 meters long. How long is each piece?
Answers
Answer:
1.36
Step-by-step explanation:
9.52/7
1.36 is the length of one of the 7 equal pieces
You can work only 13 hours this week. The following week you can work 6 hours. How much additional time will it take the third week if the job will take 27 total hours?
Answers
Answer:
8 more hours
Step-by-step explanation:
13 hrs + 6 hrs = 19
27hrs total - 19hrs
27-19+=8 more hours. TADA!!!!
Answer:
8
Step-by-step explanation:
total hours you can work 3 week : 27 hours
total hour you can work in first and second week: 13+6= 19 hours
=>the third week will take: 27 - 19=8 hours
Which equation has the solution x=-4? a 2(x-4)=16 b 3x+6-2x=-2 c 1/4x+4=3 d(x+6)3=-6 need help plz
Answers
Answer:
C: 1/4x + 4 = 3
Step-by-step explanation:
1/4x + 4 = 3
1/4x = 3 - 4
x = - 4
Thus, option c gives out the solution x = - 4.
PLEASE HELP 25 points and brainliest!
Answers
Answer: 8.1 × 10¹⁰
Concept:
When multiplying exponents, add the exponents together.
When dividing exponents, subtract the exponents.
Solve:
Given expression
(3 × 10⁶) × (2.7 × 10⁴)
Put like terms together
=3 × 2.7 × 10⁶ × 10⁴
Combine like terms
=8.1 × 10⁶⁺⁴
=[tex]\boxed{8.1*10^{10}}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
8.1 x 10^10
Step-by-step explanation:
When you do this type of problem you want to combine the like terms together, in this case is this.
3 × 2.7 × 10⁶ × 10⁴. So you will get.
8.1 x 10⁶⁺⁴
Which is 8.1 x 10^10 simplified
8 + 9x + 4(11 -- 2x)
-41-2x – 7) + 6x - 7
9 - 31–4 + 3x) + 12x
Answers
Answer:
240766 - 52731x + 840x^2 + 144x^3
|-7-1| what is the result
Answers
Answer:
your answer is 8
hope this helped
Answer:
8
Step-by-step explanation:
|-7 - 1|
=> |-8|
=> 8
' | | ' represents absolute value
Absolute value of -ve number is +ve
Absolute value of +ve number is + ve
Clark wants to gift some chocolates and cakes to his friends. If he has to give 18 chocolates and 12 cakes equally to the friends without any left over, find the highest number of friends to whom he can distribute the cakes and chocolates.
Answers
Answer:
6
Step-by-step explanation:
6 is the highest number that goes in to both numbers
Equation : -2 (4g - 3) = 30
Answers
Answer:
g = -3
Step-by-step explanation:
-2 (4g - 3) = 30
-8g + 6 = 30
-8g = 24
g = -3
Answer:
[tex] \boxed{g = -3} [/tex]
Step-by-step explanation:
[First, distribute the factored term on the left side of the equation (distribution property of equality)]
-2 ( 4g – 3 ) = 30 →
-2 ( 4g ) – -2 ( 3 ) = 30 →
-8g + 6 = 30 →
[Next, subtract 6 from both sides (subtraction property of equality)]
-8g + 6 – 6 = 30 – 6 →
-8g = 24 →
[Finally, divide both sides by -8 to cancel out the coefficient of -8 in -8g and reduce it to solve for g (division property of equality)]
-8g / -8 = 24 / -8 →
g = -3
Divide 48 into the ratio of 2:6
Answers
Answer:
12:36
Step-by-step explanation:
2 + 6 = 8
48/8 = 6
6 * 2 = 12
6 * 6 = 36
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
4. Andrea's savings change by -$9 each time she
goes bowling. In all, it changed by $99 during the
summer. How many times did she go bowling in the
Summer?
I need help.
Answers
She went bowling 11 times.
Explanation:
Divide 99 by 9 to find out how many times she went bowling. The answer comes out to be 11.
if b = 5, what is b³
Answers
Answer:
125
Step-by-step explanation:
5³= 5 × 5 × 5 = 125
Answer:
125 is your answer.
Step-by-step explanation:
b = 5
=5 X 5 X 5
=125
i need this in less than 5 minutes :((
Answers
Answer:
5!=120 ways
Step-by-step explanation:
1st colour 5 ways
2nd colour 4 ways
3rd colour 3 ways
4th colour 2 ways
5th colour 1 way
total no of ways = 5 × 4 × 3 × 2 ×1 =5! = 120 ways
Solve the inequality.
2 - | 2/5x +3 | > 3/5
Answers
Answer:
Inequality form:
-11< x < -4
Interval Notation:
(-11, -4)
HELP PLS :(
Which of the following is most likely the next step in the series?
Answers
Answer:
I believe its A
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
since it goes red and then blue the next step in the pattern will be Blue. Also since it started out with just a line w/arrow, the next blue one would comeout the back of the red one with a line. Thats my guess at least. But it most deffinetly has to be A or C becuase the next color is blue
Circle the statement or statements that are not equal to 1.
5/9 X 9/5
17/12-5/12
3/4 + 2/8
12/4 - 11/9
10 X 1/10
Answers
'pjgopgpofmg[fmpgmfpmgpfm
Answers
Answer:
shshhshsshshdjsjsjsjjdjsjsjd
Easy for smart people
Answers
Answer:
72 x 3/7 < 72
Step-by-step explanation:
72 x 3/7 = 30 6/7. Therefore 72 is the bigger number.
I hope this helps you out :).
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP
Answers
Answer:
please help me my friend
is 1/3 and -1/3 parallel?
Answers
 This has to be 20 letters long, but !!!!!Im overthinking this
Answers
Answer:
2559458#763677_6$7387353637648383636
Answer:
For part5 every single one will be 'move 2 units right and 7 units down.'
Step-by-step explanation:
Because on part2 it told to translate the figure 2 units right and 7 units down, so every point will move 2 units right and 7 units down. I hope this helps.
Need help with 6 I don’t get it
Answers
Answer:
I think the answer may be C or 15
Step-by-step explanation:
Every square is a mile, I found out because there are 13 miles to get to school and it is 13 squares to get to the destination. I counted 15 squares from home to the store (I think)
If I am wrong it could be D, nonetheless its not A or B
Step-by-step explanation:
I think that should be 13 because if you draw a line from home to school it indicates that home to school and grocery store to school it's an isosceles triangle because two opposite sides of the home to school and the school to the grocery store are equal
someone pls explain how to get the answer pls..
Answers
What’s the value of the 6 in 558672? It’s 600.
What’s the value of the 3 in 74139? It’s 30.
What do you get when you multiply 600*30? 18,000
Answer: 18,000
Answer:
B
Step-by-step explanation:
For example, if i gave u 28
The digit two stands for 20, and the digit 8 stands for 8, therefore u call it 28
Each spot has it own name
For example if i gave u the number 12345
5 is in the first spot, therefore 5 x 1 =5
4 is in the tenth spot, therefor 4 x 10 = 40
3 is in the hundred spot, therefore 3 x 100 =300
2 is in the thousand spot, therefore 2 x 1000=2000
1 is in the ten thousand spot, therefore 1 x 10000
=100000
So if u add all these numbers together u will get
12345
OK, so for your question, the 6 in 558672, is in the hundred spot, so 6 x 100 =600
The 3 in 74139 is in the ten spot, so 3 x 10=30
So the product is to multiply them together
600 x 30 =18000
58-(1/4)2 i dont get how to solve this
Answers
Answer:
57.5
Step-by-step explanation:
First you would have to multiply following PEMDAS so
(1/4)(2)
=0.5
Then subtract 58 and 0.5
58-0.5
=57.5
and thats your answer
Answer:
57.5 or 57 1/2
Step-by-step explanation:
1. Start with 1/4*2 due to the ”order of operation rules”. You then get 1/2.
2. Then, continue to do 58-1/2 to get 57.5 or 57 1/2