Answers
Answer:
10.8
Step-by-step explanation:
By sine rule:
[tex] \frac{x}{ \sin 81 \degree} = \frac{7}{ \sin 40 \degree} \\ \\ x = \frac{7 \sin 81 \degree}{ \sin 40 \degree} \\ \\ x = \frac{7 \times0.9876883406 }{0.6427876097} \\ \\ x = \frac{6.91381838}{0.6427876097} \\ \\ x = 10.755992 \\ \\ x \approx 10.8[/tex]
Using the tangent formula we can write as,
Tan 40° = 7 / x
Tan 40 = 0.84
The value of x is 8.3 cm
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
A triangle with angle 40° angle 81° and 7 cm on on side of the triangle.
Using the tangent formula we can write as,
Tan 40° = 7 / x _____(1)
Now,
Tan 40 = 0.84
From (1) we get,
0.84 = 7 / x
x = 7 / 0.84
x = 8.3 cm
Thus,
The value of x is 8.3 cm
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
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Related Questions
Find the product. - mnp (3 m - 5 n + 7 p ) -3 m2np + 5 mn2p - 7 mnp2 -3 mnp + 5 mnp - 7 mnp -3 m + 5 n2+ 7 p2 3 mnp - 5 mnp + 7 mnp
Answers
Answer:
9mnp
Step-by-step explanation:
Answer:
It's 3m - 5n + 7p lol
Please answer step by step:
-4=2x+16
What does x equal?
x=____?
Answers
Answer:
Step-by-step explanation:
-4=2x+16
-16. -16
-20=2x
20/2=2x/2
10=x
Buna sunt sexii sigZaghahahahah
Answers
Answer:
HIIIII GVJJHGNKJMJNNJ SEXIIIJBH
Step-by-step explanation:
Answer: Hi there are sex11 sigZaghahahahah
Step-by-step explanation: What????????
2(x + 4) − 1 = 2x + 7
Answers
Answer:
All real numbers are solutions to this problem.
Step-by-step explanation:
I) Simplify:
2(x + 4) - 1 = 2x + 7
x + 4 - 0.5 = x + 3.5 (Divide by 2)
x + 3.5 = x + 3.5 (Simplify x + 4 - 0.5)
x = x
II) Conclusion:
Any real number will work as a solution.
2x+7=2x+7
-7 -7
2x = 2x
-2x -2x
0=0
maybe that seems right
Find 17.3% of 286.1. Round to the nearest thousandth.
Answers
49 would be the answer I hope it helps
Answer:
Result = 49.495
Step-by-step explanation:
17.3% of 286.1=49.4953
rounded~49.495
Hope this helps as well
A triangle has two sides of 30 meters and 26 meters, and the angle between them is an obtuse angle. If the area of the triangle is 300 sq. Meters, find the measure of the obtuse angle (to the nearest degree).
Answers
Answer:
130°
Step-by-step explanation:
Using the formula
Area of the triangle = 1/2 absin theta
a and b are the sides
theta is the obtuse angle
Given
a = 30m
b = 26m
Area = 200m²
Required
theta
Substitute into the formula;
300 = 1/2(30)*(26)sin theta
300 = 15*26sin theta
300 = 390 sintheta
sin theta = 300/390
sin theta = 10/13
sin theta = 0.7692
theta = arcsin(0.7692)
theta = 50.28degrees
Since the angle is obtuse, it must lie between 90 and 180degrees
theta = 180-50.28
theta = 129.72°
Hence the measure of the obtuse angle to the nearest degree is 130°
its a me MAAAAAAAAAAAAAAAAAAAAAAAAAAA
how big is the specific ocean?
how do i ask a question?
whats obamas last know btw? does ANYONE KNOW!!!!?!?!?!?!?
WHERE DO LOST SOCKS GO WHEN THEY GO MISSING??
why do my eyes hurt after looking at a picture of the sun;(
what would happen if i hired two private investigators to follow each other...
Answers
Answer:
1. The Pacific Ocean has an area of 63.78 million square miles, an average depth of 3,688 meters, and a volume of 660,000,000km cubed.
2. Use these guidelines when developing questions:
Plan your questions.
Know your purpose.
Open conversation.
Speak your listener's language.
Use neutral wording.
Follow general questions with specific ones.
Focus your questions so they ask one thing at a time.
Ask only essential questions.
3. I don't know XD
4. On an adventure that humans don't know about
5. Depends on the picture of the sun.
6. They would probably be so confused while they tried to follow each other XD
Step-by-step explanation:
What number comes after quintillion?
Answers
Answer:
1 quintillion and 1.
Step-by-step explanation:
This is the number written out:
1000000000000000001
The equation represents the area, A, of a rectangle, in square units.
A = x2 – 3 – 6
Which expression could represent the length of the rectangle, in units?
O (2-3)
O (2-2)
Ox
O 6.2
Answers
Look up "Everything You Need To Know About Math In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in math class all the time and I've aced every test.
(On right polynomial) help find equivalent (Left equivalent expressions)
Answers
Answer:
i
Step-by-step explanation:
i
What is the slope of the line through the points (4, -7) and (9, 2)?
Answers
the answer
y/x so its 9/5
The altitude of an airplane taking off from an airport is represented by
the equation shown, y = 500x + 1050, where y represents the altitude, in
feet, of the airplane and x represents the number of minutes since take-
off. What is the altitude of the airplane after 5 minutes?
Answers
Answer:
3550 ft.
Step-by-step explanation:
y = 500(5) + 1050
= 2500 + 1050
= 3550 ft,
33s^5t^4u^8 ÷ 11st^3u^8
Answers
Answer:
[tex]3s^{4}t\\[/tex]
Step-by-step explanation:
Please help me. Thank you so much
Answers
Answer:
x = 10
Step-by-step explanation:
3. A gardener mows 5 out of every 6 days. How many days would he mow
in a 90-day period of time? Plz I really need help ASAP
Answers
Answer:
Step-by-step explanation:
90(5/6)
450/6
75
9514 1404 393
Answer:
75
Step-by-step explanation:
90 = 6 × 15
There are 15 6-day periods in 90 days. The gardener will have mowed ...
15 × 5 = 75
times in those 15 periods.
He will mow 75 times in a 90-day period.
__
If you like, you can set up a proportion for the unknown number of mowings (m).
mows/days = m/90 = 5/6
Multiply by 90 to solve for m.
m = 90(5/6) = (90/6)(5) = 15(5) = 75 . . . . . . this should look like the above
Helpppppppppppppppppppppp
Answers
Answer:
20
Step-by-step explanation:
(2x)° + (2x)° + (6x - 20)° = 180°
10x = 200
x = 20
the root of equation 1/x-1 +1/x-2 = 1/x-3
Answers
Answer:
The roots of the quadratic equation are , .
Step-by-step explanation:
The roots of the quadratic equation are , .
Step-by-step explanation:
As given the equation in the form
Simplify the above equation
(x-2)-x = 3x × (x-2)
x-2 - x = 3x² - 6x
3x² - 6x + 2 = 0
As the equation is written in the form ax² + bx + c = 0
a = 3 , b = -6 , c = 2
Put all the values in the above equation
Thus
Therefore the roots of the quadratic equation are , .
The figure has an area of 182 cm
Which equation can be used to find the
value of r?
A 18r + (14)(r) = 182
B 18r + -(14)(r) = 182
C 18r - -(14)(r) = 182
D 18r - (32)(r) = 182
Answers
Answer:
[tex]18r+\frac{1}{2}(14)(r)=182[/tex]
Step-by-step explanation:
Area of the composite figure ABCDE = Area of triangle ABE + Area of the rectangle BCDE
Area of triangle ABE = [tex]\frac{1}{2}(32-18)(r)[/tex]
= [tex]\frac{1}{2}(14)(r)[/tex]
Area of rectangle BCDE = 18 × r
= 18r
Total Area = [tex]\frac{1}{2}(14)r+18r[/tex]
Therefore, equation to get the value of 'r' will be,
[tex]18r+\frac{1}{2}(14)(r)=182[/tex]
write an equation of the form y equals MX for the line shown below if appropriate use the decimals for the slope 2.5 0.0
Answers
Answer:
y = 2.5x
Step-by-step explanation:
Can someone help me please
Answers
9514 1404 393
Answer:
IS a parallelogram
Step-by-step explanation:
The slope formula for the slope of the line between points (x1, y1) and (x2, y2) is ...
m = (y2 -y1)/(x2 -x1)
The distance formula for the length of that same line is ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
Here, you're asked to use each of these formulas 4 times, once for each side of the quadrilateral. I find it convenient to let a calculator or spreadsheet do the repetitive calculations. The result is attached.
The attachment shows that opposites sides have the same length and slope, so are parallel. The quadrilateral is a parallelogram. (The two points used in each calculation are the ones on the result line and the line immediately below. That is why point B is copied to the end of the list.)
_____
Additional comments
There are much simpler ways to prove the figure is a parallelogram. My favorite is to add the coordinates of the end points of the diagonals:
B +D = (-2+6, -9-3) = (4, -12)
C +E = (0+4, -5-7) = (4, -12)
These values being the same demonstrates the midpoints of the diagonals are coincident. That will only be the case if the quadrilateral is a parallelogram.
__
If you must use slope and distance formulas, showing either pair of opposite sides is parallel and have the same length is sufficient to guarantee that the other two sides are also parallel and have the same length. That is, the calculations required in this problem only need to be applied to one pair of opposite sides. (Using a spreadsheet, it's not a lot of extra work to do the calculations for both pairs of opposite sides.)
355+480 is the same as 335+ ?
Answers
Answer:
355+480 is the same as 335+500
Step-by-step explanation:
355+480=835
835-335=500
∴355+480 is the same as 335+500
What is the measurement of angle B*
A
112
с
51
Answers
Which number is prime?
A. 21
B. 23
C. 25
D. 27
Answers
Hope this helps!!!!!!
Answer:
23
Step-by-step explanation:
graph the line with slope -1/3 passing through the point (5,-4)
Answers
Answer:
Look at the image !!
Step-by-step explanation:
I hope this helps :D
What would Hope be attempting to find if she writes d(4) = 78(4)?
Answers
Answer:
d=78
Step-by-step explanation:
so you would divide both sides of the equation by 2×2
d×4÷(2×2)=78×4÷(2×2) <- you would do this to get rid of 4 so you cna get the d alone
d=78×4÷(2×2) <- thats the other side of the equation btw
then it would be:
d=39×2
d=78
The diameter of a circle is 6 ft. Find its area to the nearest tenth.
Answers
Formulas:
A= πr²
d= 2r
Solving:
A=14πd²=14·π·6²≈28.27433ft²
Hope I helped. :)
- Valenteer
(Please mark me as brainliest if this helped, that would be beneficial!)
(Thx for the points!)
Suppose f(x)= 4x – 2
and g(x) = -2x + 1.
Find the value of
f(-1)/g(-3)
Answers
Step-by-step explanation:
f(-1)=4*(-1)-2=-4-2=-6
g(-3)=-2*(-3)+1=6+1=7
f/g=-6/7
Lawrence has $50.
He wants to buy some T-shirts that cost $12 each.
He also wants to have at least $10 left to buy lunch.
Which inequality shows the number of T-shirts, x, Lawrence can buy and still have at least $10 for lunch?
A. x≤3
B.x≥3
C. x≤4
D. x≥4
Answers
Answer:
choice A) =<3
Step-by-step explanation:
x = number of shirts
50 -10 = x(12)
40 = 12x
x = 3 .33
What is the value of x?
Enter
X :
(Look at the photo)
Answers
Answer:
x = 20
Step-by-step explanation:
Each line creates a 180° angle on each side of it. Since these lines intersect, they have congruent angles. This means that these two quantities can be set equal to each other.
3x + 50 = 6x - 10
Solve by combining like-terms and isolating x. Move the 3x to the right by subtracting it from both sides.
50 = 3x - 10
Move the 10 to the left by adding it to both sides.
60 = 3x
Divide the 3 from both sides to isolate the x.
x = 20
Furthermore, this can be checked by plugging in 20 to x and seeing if the expression is true.
3(20) + 50 = 6(20) - 10
110 = 110
C=0.4(285.7)+100
(No answer choices)
Answers
Answer:
c=214.28
plz mark as brainliest
Step-by-step explanation:
Answer:
C=0.4(285.7)+100
Step-by-step explanation:
C=0.4(285.7)+100
C= 114.28 + 100
C= 214.28