Instructions: Find the missing side. Round your answer to the
nearest tenth.
х
19°
21
Answers
The required value of the missing sides with the help of trig ratios we have x = 19.9.
What are trig ratios?If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
To find the missing side in the given right triangle, we can use trigonometric ratios. Specifically, we can use the tangent ratio:
Cosine of an angle = opposite side / adjacent side
In this case, we know the measure of one acute angle (19 degrees) and the length of the adjacent side (21). We want to find the length of the opposite side, which we can represent as x.
cos(19°) = x / 21
Multiplying both sides by 21, we get:
x = 21 cos(19°)
Using a calculator, we can evaluate the right-hand side to get:
x ≈ 19.85
Rounding to the nearest tenth, the missing side is approximately 19.9 units long.
Learn more about trig ratios here:
https://brainly.com/question/14977354
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Related Questions
What is the transversal ?
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If a cube has a volume of 343 cubic yards, what is its surface area?
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hope this helps-------------
solve for x pleasee *7th grade math*
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Answer:
Step-by-step explanation:
not sure if we're supposed to be dividing, adding or what
Item 4
Find the mean of the data.
A bar graph, titled “Visits to Your Website”. The vertical axis is labeled “Number of visits”. The horizontal axis is labeled “Day”. For bar 1, the height is 12. For bar 2, the height is 16. For bar 3, the height is 0. For bar 4, the height is 8. For bar 5, the height is 31. For bar 6, the height is 28. For bar 7, the height is 17.
Answers
12, 16, 0, 8, 31, 28, 17
12 + 16 + 0 + 8 + 31 + 28 + 17 = 112
112 / 7 = 16
If 6 x 9 = 36 + , find the number that belongs in the box.
Answers
Answer:
18
Step-by-step explanation:
Find out what 6 x 9 equals to.
6 x 9 = 54
After, that this is the final answer:
54 - 36 = 18
Answer: (6)(9)= 36 and sorry but what is 36 + what if I know the number I would give you the real answer.
54≠36
False
Step-by-step explanation:
factorise fully the following
3 x + 6
Answers
Answer:
[tex]3x + 6 = 0 \\ 3x = 0 - 6 \\ 3x = - 6 \\ x = \frac{ - 6}{3} \\ x = - 2[/tex]
Answer: 3(x+2)
Step-by-step explanation:
ask yourself what numbers can I take out of 3 and 6, you can divide by 3 :)
3x / 3
1x
x
6 / 3
2
3(x+2)
Find a quadratic equation whose roots are -3 and 5. NO LINKS PLZ!!!!!
Answers
Answer:
Y = x^2 - 2x - 15
Step-by-step explanation:
If the angles are represented in degrees, find both angles sin(x+76)=cos(3x+2)
Answers
Step-by-step explanation:
[tex]x + 76 + 3x + 2 = 90[/tex]
[tex]4x + 78 = 90[/tex]
[tex]4x = 12[/tex]
[tex]x = 3[/tex]
Angle 1 is 79
Angle 2 is 11.
HELP PLEASE GIVING BRIANLIEST
Answers
1)x=3
2)m=1 4/5
3)M= - 11
4)X=7 1 1/2
5) i dont know this one sorry
i hope this is enough it took long and i skipped half of my class <3
S part of a statistic project, a math class weighed all the children who were willing to participate as shown below.
How many children weighed less than 50 pounds?
Answers
Answer:
18 children weighed less than 50 pounds.
Step-by-step explanation:
Ok, adding into the explanation what the heck this kind of a table is. The "stem" column is the tens place of each of the children's weights. The "leaf" is the ones digit of each of the children's weights. So in the row where the stem is 2, there were 2 kids weighing 23 and 25 pounds.
For your question, we have to add up how many students have a weight with a "stem" less than 5, because that's where 50 pounds starts.
8 + 2 + 5 + 3 = 18 children weighed less than 50 pounds.
3k^2-11k-4=0 solve with quadratic formula
Answers
Why did my mom leave my dad.
Answers
Answer:
uh im sorry
Step-by-step explanation:
uh
Answer:
because she found me
Step-by-step explanation:
quite simple.
please help !! :)))
Answers
Which is greater, -9/20 or -0.5?
Answers
Answer and Step-by-step explanation:
If we put [tex]-\frac{9}{20}[/tex] into decimal form, we get -0.45.
-0.45 is greater than -0.5, so,
[tex]-\frac{9}{20}[/tex] is greater than -0.5.
#teamtrees #PAW (Plant And Water)
Plz HELP!!
Which sequences are arithmetic? Check all that apply.
0,8,16,24,...
07, 12, 17,22,....
6,12,24, 48...
8, 14, 20, 26,...
11,18,23,30,...
12,17,22, 29,
15, 30, 60, 120,...
Answers
Answer:
1st, 2nd, and 4th
Step-by-step explanation:
PLEASE HELP!!!!!!! I'LL MARK YOU AS BRAINLIEST AND GET 15 POINTS
Answers
Answer:
The answer is probably C.
Step-by-step explanation:
So how the answer is C is,
It makes sense to divide x by 18 to get your answer. 2/5 is what you'll divided 18 by.
Mrs. Crawford is making sugar cookies. She had thirteen already made, and each batch can make eleven more cookies. How many batches does she need to make if she needs a total of 167 cookies?
Answers
Longer Answer If she already has 13 then minus 13 in 167 cookies and you get 154 then 154÷11 = 14
I hope that makes sense and I hope it helps
Mark sold x pens for $2 each. He received less than $80 from the sale. a. Write an inequality for the number of pens sold.
Answers
Answer:
x <40
Step-by-step explanation:
The income from the pens is 2*x
He made less than 80
2x <80
Divide each side by 2
2x/2 < 80/2
x < 40
A diamond ring increases in value at a rate of 5% per year. If the ring was purchased for $1200, which equation would calculate how much will it be worth in 30 years?
Would it be
A - y = 1200(1+.05)^30
B - y = 30(1+.05)^1200
C - y = .05(1+1200)^30
Answers
Answer:
A - y = 1200(1+.05)^30
Step-by-step explanation:
In this case, you need to calculate the future value and the formula to calculate that is:
FV=PV*(1+r)^n
FV=future value
PV=present value
r=rate
n=number of periods of time
The present value would be the price of the ring which is $1200. The rate is 5% per year and the number of periods of time is 30 years since you need to find the ring's worth in 30 years. Now, you can replace the values on the formula:
FV=1200*(1+0.05)^30
According to this, the answer is that the equation to calculate how much will it be worth in 30 years is: y = 1200(1+.05)^30.
A six sided die is rolled 30 times. How many times would you expect to land on a 2 or a 6?
Answers
Answer:
For 2 its 5, and for 6 its 5
Step-by-step explanation:
6x5=30 there are six sides so divide by 6, and there you get 5.
2=5
6=5
what integer divided by 6, less eighteen, is negative 22
Answers
Answer: -24
Step-by-step explanation:
[tex]\frac{x}{6} -18 = -22[/tex]
[tex]\frac{x}{6} = -22 + 18[/tex]
[tex]\frac{x}{6} = -4[/tex]
[tex]x= -4*6[/tex]
[tex]x= -24[/tex]
check work
[tex]\frac{(-24)}{6} -18 = -22[/tex]
[tex]-4 -18 = -22[/tex]
[tex]-22 = -22[/tex]
Geeta saves 18% of her monthly salary. If she spends Rs.10250 per month, what is her monthly salary? Please explain by step by step procedure.
Answers
Answer:
Rs.12500
Step-by-step explanation:
18% = saved
100 - 18 = 82%(used salary)
82% = 10250
100% = ?
100 × 10250 = 1025000
1025000 ÷ 82 = Rs.12500
what is ( 17 + 21 ) - 5 x 3 + 2
Answers
CAN SOMEONE PLEASE HELP ME IM STUCK ON THIS QUESTION AND ITS ONLY QUESTION 1!!
Answers
Answer:
D) -1 < x < 4
Where is the mistake in the following problem?
1) 3/12
2)9/12
3)3/4
4)1/3
Answers
Because 1/3 would have changed to 4/12,
1x4= 4
3x4=12
You need to multiply them by the same number and 1) was multiplied by three on the numerator and four on the denominator.
I need help with question 18. The answer is53√3 ft^2. But how do I get there?
Answers
Answer:
Hope it helps....
Step-by-step explanation:
Answer:
52√3 ft²
Step-by-step explanation:
sin 60° = (√3) / 2 = h/8
h = 8 x (√3) / 2 = 4√3
cos 60° = 1/2 = a/8
a = 4 b = 15-4 = 11
area = left triangle + right rectangle
area = (4*4√3) / 2 + 11*4√3
= 8√3 + 44√3
= 52√3
What are the missing numbers in the data set? Assume the numbers are in order
24, 28, 32, 39___ Range=18
Answers
Answer:
This answer is 42
Step-by-step explanation:
42 - 24 = 18
Roberto bought snacks to take to his soccer ball practice. He bought a bag of oranges that were $5.65 and a 12 pack of water bottles. The total cost was $12.13 before tax was added. Which equation could be used to find the cost of each water bottle,b?
A. 12(b+5.65)=12.13
B. 5.65(12+b)=12.13
C. 5.65b+12+12.13
D. 12b+5.65=12.13
whoever answers correctly and first will get a brainly
Answers
Answer:
d
Step-by-step explanation:
Solve the equation sin^2x= 3 cos^2x.
The value of x that satisfies the equation if x lies in the second quadrant is what degrees?
The value of x that satisfies the equation if x lies in the third quadrant is what degrees?
Answers
Step-by-step explanation:
sin^2(x)= 3 cos^2(x)
Subtract sin^2(x) on both sides
0=3cos^2(x)-sin^2(x)
By Pythagorean Identity sin^2(x)+cos^2(x)=1, we can replace cos^2(x) with 1-sin^2(x)
0=3(1-sin^2(x))-sin^2(x)
Distribute
0=3-3sin^2(x)-sin^2(x)
Combine like terms
0=3-4sin^2(x)
Add 4sin^2(x) on both sides
4sin^2(x)=3
Divide both sides by 4
sin^2(x)=3/4
Take the square root of both sides
sin(x)=+ or - sqrt(3/4)
sin(x)=+ or - sqrt(3)/sqrt(4)
sin(x)=+ or - sqrt(3)/2
This happens on the unit circle at
60 degrees
120 degrees
240 degrees
300 degrees
If we go around and around again forwards or backwards, we get the infinitely many other solutions including the one's already stated in the following solution sets
(60 +360n) degrees
(120 +360n)degrees
(240 +360n)degrees
(300 +360n)degrees
where n is an integer
x is 120 degrees or (120+360n) degrees in the second quadrant. I didn't know if you were just looking for solutions in the first nonnegative cycle of the unit circle or not.
240 degree one or the (240+360n) degrees terminates in the third.
A coin is tossed 4 times. Find the probability of getting at 4 tails in a row.
Answers
Answer:
6.25%
Step-by-step explanation:
Each time you flip a coin, there is a 50% probability of it landing on tails. Each time you flip the coin, the 50% gets multiplied by [tex]\frac{1}{2}[/tex].
[tex]\frac{1}{2}[/tex] to the power of 4 is 0.0625. 0.0625 in percentage form is of course 6.25%