Answers
Answer:
p = 21.4 cm
∠P = 44°
Step-by-step explanation:
Apply the Pythagorean Theorem to solve for the length of p.
p² + 21² = 30²p² = 900 - 441p² = 459p = √459[tex]\fbox {p = 21.4 cm}[/tex]Now, take the inverse sine function to find angle P :
sin⁻¹ (opposite side / hypotenuse)sin⁻¹ (21/30)sin⁻¹ (0.7)[tex]\boxed {44^{o}}[/tex] (approximately)Answer:
a) 21.4 cm
b) 45.6°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships between trig functions and sides of a right triangle. Here, two relevant function are ...
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
b) Angle PThe hypotenuse of the triangle, and the side adjacent to angle P are given, so we have ...
cos(P) = (21 cm)/(30 cm)
The angle value can be found using the inverse cosine function:
P = arccos(21/30)
P ≈ 45.6°
a) Side pNow, we know angle P and the side adjacent to it. We want to find the measure of side p, which is opposite the angle. This can be done using either the sine function or the tangent function. Here, we choose to use the tangent function.
tan(P) = p/21
p = 21×tan(P) = 21·tan(45.573°)
p ≈ 21.4 . . . . cm
__
Additional comment
In the attached, part of the calculator keypad is shown so you can see that the inverse cosine function is the 2ND function of the Cos key. The calculator mode is set to DEG (lower left of display) so that angles are in units appropriate to this problem.
Of course, you can always use the Pythagorean theorem to find the length of side p. More calculations are involved, so we used trig functions instead. Note that the angle P must be found first using the approach here, and its value must be retained with enough significant digits to ensure accuracy in the 'p' calculation.
Related Questions
Sam complete 3 math problems in 8 minutes. How long will it take to do 15 problems?
Answers
Answer:
40 minutes
Step-by-step explanation:
Math Problems 3 15
---------------------- ----- = ------
Minutes 8 x
3x = 15 * 8
x = 15 * 8 / 3
x = 120 / 3
x = 40
40 Minutes
Answer this question and you get brainiest? Also 85 points so answer it correctly and it’s all yours btw i put the picture up so you can answer it . Thanks
Answers
Answer:
114
Step-by-step explanation:
those angles are supplementary meaning that they will add up to 180. 180-66=114 so x=114
Ten people put 63 boxes on a red truck and 38 boxes on a blue track About how many boxes did they load in all
Answers
Answer:
63+38=101
Step-by-step explanation:
please answer correctly and quickly
Answers
Answer:
#6:10
Step-by-step explanation:
Answer:
#9 is x=14
#7 is C 138
#6 is x=10
#5 is p=40
A right circular cylinder is 3m high and the circumference of its base is 22m. Find its curved surface area.
Answers
Answer:
height of cylinder =3m
circumference =22m
curved surface area=2×pi×radius×height
curved surface area =22m×3m
curved surface area =66m²
hii please help i’ll give brainliest if you give a correct answer!
Answers
Answer:
8 and 1/4 cups sugar is your answer. In 5 and 1/3 cups is 8 and 1/4 cups sugar.
Step-by-step explanation:
Brainly please hope this is correct please tell me if I wrong.
Which expressions are equivalent to 56x + 24 divided by 8?
A.7x + 24
B.56x + 24
8
C. 8(24 + 56x)
D.3x + 7
F.3 + 7x
Answers
The expression (56x + 24) / 8 is equivalent to the expression will be 7x + 3. Then the correct option is F.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (56x + 24) / 8
Simplify the expression, then we have
⇒ (56x + 24) / 8
⇒ (56/8)x + 24/8
⇒ 7x + 3
The expression (56x + 24) / 8 is equivalent to the expression will be 7x + 3. Then the correct option is F.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ5
An expression equivalent to 56x + 24 divided by 8 is 3x+7. So, option F. is correct.
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given the following expression:
56x + 24
It is required to divide the given expression by 8,
Thus, dividing the expression by 8 as follows:
[tex]\dfrac{56x+24}{8}\\\\\dfrac{56x}{8}+\dfrac{24}{8}\\\\7x+3[/tex]
Thus, 3+7x is the expression equivalent to 56x + 24 divided by 8. So, option F is correct.
Learn more about mathematical operation, here:
https://brainly.com/question/20628271
#SPJ6
What is 25% of 160?
Instructions
100 of 100 words remaining
BUI EEE Tv
b. What is 39 of 2007
Instructions
100 watt
Done and Review
2021
Answers
Answer:
I have no idea what ur saying
Step-by-step explanation:
Can someone help me please. I have to show my work.
Answers
Answer:
Step-by-step explanation:
1. P = (width + lengh) * 2 = (23 + 10) * 2 = 33 * 2 = 66
A = width * lengh = 23 * 10 = 230
2. width = 7
P = (width + lengh) * 2 = ( 7 + 9) * 2 = 16 * 2 = 32
Answer:
4. area= 230cm^2 perimeter= 66cm
5. width= 7m perimeter= 32m
Step-by-step explanation:
4. a = w*l
23cm*10cm=230cm^2
p= add all sides
23cm+23cm+10cm+10cm=66cm
5. w= a/l
63m^2/9m=7m
p= add all sides
7m+7m+9m+9m=32m
4 _ (3 _ 2) _ 6 _ 1 = 14 Please help ill give you brainly!
Answers
Two balls are picked in succession without replacement -4 white balls and 5 green balls let Y be the random representing the number of green balls. Find the value of the random variable Y.
Answers
Answer:
If Y represents the number of green balls then it can have values from 0- 5
that is it can have all the value 0,1,2,3,4 and 5.
The probability of getting both balss green without replacement is 0.27778
Step-by-step explanation:
If the balls are not replaced then this is the dependent event .
The probability of getting the first ball is given be = 5/9
where 5 is the number of green balls and 9 is the total number of balls.
The probability of getting the second ball green given that first is also green is = 5/9* 4/8= 20/72= 0.2778
If Y represents the number of green balls then it can have values from 0- 5
that is it can have all the value 0,1,2,3,4 and 5.
0 means there can be no green balls or white balls.
1 means there can be one green ball.
2 means there can be 2 green balls and so on.
In this exercise we have to use the knowledge of probability to calculate the chance of an event to occur, so you have to:
the chance of the event is 0.2778%
So organizing the information given in the statement is:
If the balls are not replaced then this is the dependent event .The probability of getting the first ball is given be = 5/95 is the number of green balls and 9 is the total number of balls.So with this information we can write that:
[tex]5/9* 4/8= 20/72= 0.2778[/tex]
See more about probability at brainly.com/question/795909
Find an equation for line L, M, N, and P *
Answers
Given the sequence 24, 12, 6, 3......., where x = 1, 2, 3, 4, .........What is the first term? 24 12 6 3
Answers
Answer:
24
Step-by-step explanation:
The first term of any sequence is the term of the sequence that comes first.
Given the sequence of numbers 24, 12, 6, 3...
We can see that the number that comes first is 24. Hence the first term of the given sequence will be 24
angle (the question mark), (Write the
number only)
?
77
124°
Answers
47. my answer needs to be at least 20 characters long there u go
Answer:
49
Step-by-step explanation:
77+49 = 124
Но
How much does each bead necklace cost?
You can buy a 35-pound box of beads for $43.95.
A 35-pound box of beads contains 30 bags of 12
necklaces each.
Step 1: How many necklaces are in a box?
Answers
B, the correct answer is B
Write the expression in expanded form (1 + 3b)(6)
Answers
Answer:
Answer Expert Verified
4.0/5
170
nikitasingh79
Genius
15.5K answers
114.1M people helped
Identity:
An identity is an equality which is true for all values of a variable in the equality.
(a + b)³ = a³+ b³+ 3ab(a + b)
In an identity the right hand side expression is called expanded form of the left hand side expression.
---------------------------------------------------------------------------------------------------
Solution:
(i) (2x + 1)³
Using identity
(a + b)³ = a³+ b³+ 3ab(a + b)
(2x + 1)³
= (2x)³ + 1³ + (3×2x×1)(2x + 1)
= 8x³+ 1 + 6x(2x + 1)
= 8x³ + 1 + 12x² + 6x
(ii) (2a – 3b)³
Using identity,
(a – b)³ = a³–b³ – 3ab(a – b)
(2a – 3b)³ = (2a)³– (3b)³ – (3×2a×3b)(2a – 3b)
=8a³–27b³–18ab(2a –3b)
= 8a³–27b³–36a²b + 54ab²
(iii) [3x/2 + 1]³
Using identity,
(a + b)³ = a³+ b³+ 3ab(a + b)
[3x/2 +1]³
=(3x/2)³+1³+ (3×(3x/2)×1)(3x/2+ 1)
=27x³/8+1+9/2x×(3x/2+1)
= 27x³/8 + 1 + 27/4 x² + 9/2x
= (27/8)x³ + (27/4) x² + 9/2 x + 1
(iv) [x–2/3 y]³
Using identity,
(a - b)³=a³-b³-3ab(a-b)
(X+ 2/3y)³
= (x)³–(2/3 y)³– (3×x×2/3 y)(x – 2/3 y)
= x³– 8y³/27–2xy(x – 2/3 y)
= x³– (8/27)y³–2x²y+ 4/3xy²
=========================================================
Hope this will help you....
Step-by-step explanation:
- (cd2 + 4c + 21)
simplify it?
Answers
Answer: = -cd^2 - 4c - 21
Step-by-step explanation:
It‘s suppose to read negative cd the 2 is squared - 4c - 21
9x -7u > 9x -21u
solve please :)
Answers
Answer:
(-∞,∞) is your answer sorry if it looks like a face
Step-by-step explanation:
HELP AND WILL GIVE BRAINLIEST!!! Solve for x for the image below
Answers
Answer:
umm x=30
Step-by-step explanation:
Answer:
x=22
Step-by-step explanation:
All angles in a triangle add up to 180 degree.
180-(6x-7) = the supplementary angle inside the upper left corner.
180-(6x-7)+2x+(103-x) = 180
180-6x+7+2x+103-x = 180
reduce
-5x = -110
-5x/-5 = -110/-5
x=22
you can check by using the values of x
i need help with this anyone pleaseee
Answers
Answer:
41 dollars
Step-by-step explanation:
3r+2.5p is the cost of roses and petunias, just number of roses as r and petunias as p:
3(7) + 2.5(8)=
21+20=41 dollars
HELP I NEED HELP ASAP
Answers
Answer:
d.
Step-by-step explanation:
Answer:
option c I guess - "It increases exponentially "
How many solutions does this equation have?
4v = 6v − 2v
no solution
one solution
Infinitely many solutions
Answers
Answer:
Infinitely many solutions.
Step-by-step explanation:
4v=6v-2v Combine like terms.
4v=4v These are already equal without diving, so there are infinitely many solutions.
Hope this helps and have a nice day ❤
Answer:
Infinitely many solutions
Step-by-step explanation:
4v=6v-2v
4v=4v
when two expressions on opposite sides of an equals sign are equivalent, that means there are infinitely many solutions
P.S. Please mark me Brainliest if it is correct.
HELPP PLSSSS Im failing school :(
Answers
Answer:
D.540
if im wrong sorry
Step-by-step explanation:
5/16 + 7/16 (simpfiy it )
Answers
Canada was once a British colony. Based on the information presented in the movie, what can you infer about Canada?
Answers
Answer:
In 1763, Canada formally became part of British Empire. The colony of Canada was enlarged under the province of Quebec.
Step-by-step explanation:
Modern day Canadian province was once British Colony. In 1949, Newfoundland became part of Canada instead of British Colony. The information presented in the movie is about the British Empire that governed the Canadians. After the free from British rule Canada was free to act in his own way in the country. The country also gained financial independence.
At a sale, coats were sold for 82% of their original price. If the coats originally cost $200 each, how much did a coat cost on sale?
Answers
164
Step-by-step explanation:
The solution is, a coat cost on sale = $164.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
At a sale, coats were sold for 82% of their original price.
If the coats originally cost $200 each,
so, a coat cost on sale = $200* 82%
=$164
Hence, The solution is, a coat cost on sale = $164.
To learn more on percentage click:
brainly.com/question/13450942
#SPJ6
b-3/15=1 What does b equal??
Answers
Answer:
1 3/15
Step-by-step explanation:
All you have to do is add 3/15 to both sides of the equation:
b - 3/15 = 1
b = 1 3/15
!BRAINLIST! please help me with this QUICK!
Answers
Answer:
Corresponding
Co-interior
None
Alternate exterior
Alternate interior
Corresponding
At the zoo, the ratio of birds to snakes is 2:3. If there
are 12 snakes at the zoo, how many birds are there?
Show your work! Type your final answer in the box
below.
Submit
Answers
Answer:
8 birds
Step-by-step explanation:
Birds to snakes is 2:3. So, then it would be 4:6, 6:9, 8:12 if you use a table.
Answer:
U need to slove the same way as shown above just change the number and solve if still u find any difficulty. then u can follow me I will surely help u out
All The Best
find the value of x
Answers
Answer:
x=32
Step-by-step explanation:
52=whatever angle x+20 is.