Answers
Answer:
x = 20.8y = 22.3Step-by-step explanation:
Theta is 21 degreesx is the adjacent side8 is the opposite sidey is the hypothenuseSOH - CAH - TOA
Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.
[tex]tan 21=\frac{opposite}{adjacent} \\tan 21 =\frac{8}{x} \\0.384 =\frac{8}{x} \\0.384x =8 \\x=\frac{8}{0.384} \\x=20.84[/tex]
Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.
[tex]sin 21=\frac{opposite}{hypotenuse} \\sin21 =\frac{8}{y} \\0.358 =\frac{8}{y} \\0.358y=8 \\y=\frac{8}{0.358} \\y=22.32[/tex]
Related Questions
Kevin needs to memorize words on his oh Cavaleri list for Latin class. He has been raised 20 other words, which is 4/5 of the list. How many words are on the list?
Answers
Answer:
25
Step-by-step explanation:
if 20 is 4/5 then you just reverse egineer and you get it
Consider a coin that a head is twice more likely to occur than a tail. Find the variance of number of heads when the coin is tossed three times.
Answers
Answer:
0.667
Step-by-step explanation:
Given that :
Head is twice more likely to occur than a tail.
P(head) = p(H) = 2/3
P(tail) = p(T) = 1/3
If coin is tossed 3 times :
P(H = 0) :
1st toss = tail ;2nd toss = tail ; 3rd toss =. Tail
(1/3) * (1/3) * (1/3) = 1 / 27
P(H= 1)
HTT, THT, TTH
(2/3 * 1/3 * 1/3) + (1/3 * 2/3 * 1/3) + (1/3 * 1/3 *2/3)
= 2/27 + 2 /27 + 2/27
= 6/27 = 2/9
P(H=2)
HHT, HTH, THH
(2/3 * 2/3 * 1/3) + (2/3 * 1/3 * 2/3) + (1/3 * 2/3 * 2/3)
= 4/27 + 4/27 + 4/27
= 12 / 27
= 4 /9
P(H = 3)
HHH
(2/3 * 2/3 * 2/3)
= 8 / 27
X ___ 0 ___ 1 ____ 2 ____ 3
P(x) _ 1/27 _ 2/9 __ 4/9 __ 8/27
E(X) = (0 * (1/27)) + (1 * (2/9)) + (2 * (4/9)) + (3 * (8/27)) = 2
E(X) = 2
Var(X) = Σx²p(x) - E(X)²
= (0^2 * (1/27)) + (1^2 * (2/9)) + (2^2 * (4/9)) + (3^2 * (8/27)) - 2^2
= 4.667 - 4
= 0.667
Hence, Var(x) = 0.667
5. *
17 points
Which answer shows 9x 10-written in standard form?
-.000009
.000009
-900,000
.00009
Answers
Elijah builds model airplanes at a constant rate. He can build 5 model airplanes in 150 minutes, and 10 model airplanes in 300 minutes. How long would it take him to build 15 model airplanes.
Answers
Answer:
450 minutes
Step-by-step explanation:
Since Elijah can build 5 model airplanes in 150 minutes. He can build 1 model airplane in 30 minutes. To find this you divide 150 by 5. The question asks for how many minutes it would take Elijah to build 15 model airplanes. Since 1 x 15 = 15 model airplanes, you use proportions and also multiple the time by 15, so 30 x 15 = 450 minutes.
Answer:
450 Minutes or 7 hours 30 minutes
Step-by-step explanation:
Because the rate of Sets to minutes is 1:30 for every 1 he builds it take 30 minutes so 30 x 15 = 450 or 150 x 3 because every 5 sets there 150 minutes
Hope this helped :)
At Green Island Farms the annual Turkey Trot is being held. This year’s contestants are Tom Turkey, Gary Gobbler and Donny Drumstick. The turkeys chase little RC cars loaded with feed. The buzzer sounds and the turkeys are off. Gary Gobbler chases his RC car trying to eat that sweet turkey feed for 15 feet before he manages to side swipe the RC car and knock it on its side. All the feed spills out and Gary Gobbler gobbles it down. That silly turkey happily eats his food for 1.75 seconds. A mouse comes out of the hay bale and tries to join Gary Gobbler in his feasting. But Gary Gobbler is scared of mice so when he sees the mouse he freaks out and tears down the racetrack.
Write a similar story for Tom Turkey making sure to include the different segments of the graph.
Answers
Answer:
The company is expected the company will receive
Which expression is equivalent to two square root of 98 times square root of two
Answers
Answer:
The answer is 14. Hope this helps.
Step-by-step explanation:
HELP FAST I NEeD THIS
Answers
Answer:
1. x=7.16304347
2.x=11.2
Step-by-step explanation:
There are 7 red marbles, 5 blue marbles, and 11 green marbles in a bag. If John randomly pulls a marble from the bag, what is the probability that he selects a blue marble? Give your answer as a decimal to the nearest hundredth.
Answers
Answer:
0.23
Step-by-step explanation:
Use all four numbers 5, 1, 7, 9 with a value as close to 6000 as possible
Answers
Answer:
5971
Step-by-step explanation:
Given that 3a : 7 = 8:5, find the value of a.
Answers
Answer:
a=56/15
Step-by-step explanation:
3a/7=8/5
3a=56/5
a=56/15
12 2.25 24 7.5 3 6.75 y 0.75 6 1.5 DRAG AND DROP AN ITEM HERE DRAGAND DROP ANTEN HERE DRAGAN ROP AN ITEM HERE
Answers
Answer:
0.75
Step-by-step explanation:
BASTA CHAT NYU NA LNG PO AKO DTO NEED NYU PO NG EXPLANATION
(ILL GIVE BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS MEEEEEEEEEEEE!! :D)
Which expression results in a sum or difference of three and four forty eighths?
A) two and two twenty fourths plus one and one half
B)one and three twelves plus two and one quarter
C) seven and nine sixteenths minus four and one third
D) six and two sixths minus three and two eighths
Answers
Answer:
D) six and two sixths minus three and two eighths
Step-by-step explanation:
Answer:
i think it is D
Step-by-step explanation:
D) six and two sixths minus three and two eighths
Lorine drew the model below to represent the equation 16 + 28 = ___ ´ (4 + 7).
Answers
Answer:
4
Step-by-step explanation:
Answer:
Its A (A is 4)
Step-by-step explanation:
Also correct on Edge 2021
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A tailor earns (12y² + y – 35) pesos for working (3y – 5) hours. How much does he earn per hour?
Answers
Answer:
4y+7
Step-by-step explanation:
(12y² + y – 35)/(3y – 5)
=(3y-5)(4y+7)/(3y-5) (factorization)
=4y + 7
Hope this helped!
The amount that's earned per hour by the tailor will be 4y + 7.
Since the tailor earns (12y² + y – 35) pesos for working (3y – 5) hours, then the number of hours that the tailor used working will simply be gotten through the division of the values that are given to the question. This will be:
= Amount earned / Total number of hours used
= (12y² + y – 35) / (3y – 5)
= 4y + 7
The amount earned per hour is 4y + 7.
Read related link on:
https://brainly.com/question/18736693
The sum of three consecutive odd integers is 153. Find the three odd integers.
First integer =
Second integer =
Third integer =
PLEASE HELPPPP!!
Answers
Answer:
49, 51, 53
Step-by-step explanation:
Let the first odd integer be n.
Then the consecutive odd integer will be (n+2).
This will be followed by (n+4).
We know that the sum of these three is 153. In other words:
[tex]n+(n+2)+(n+4)=153[/tex]
Solve for n. Combine like terms:
[tex]3n+6=153[/tex]
Subtract 6 from both sides:
[tex]3n=147[/tex]
Divide both sides by 3:
[tex]n=49[/tex]
Therefore, our first odd number is 49.
So, our consecutive numbers must be 51 and 53.
Hence, our sequence is:
49, 51, 53
Notes:
If we get an even number for n or a non-integer value, then there are no three consecutive odd integers that sum to 153.
Answer:
49, 51, 53
Step-by-step explanation:
All odd numbers:
49 + 51 = 100
100 + 53 = 153
Six years ago Deki was P times as old as Benita was. If Deki is now 17 years old, how old is
Benita now in terms of P?
A. 11/P + 6
B. P/11 + 6
C. 17 - P/6
D. 17/P
Answers
Answer:
A) 11/P + 6
Let Ben’s age now be B
Anita’s age now is A.
(A - 6) = P(B - 6)
But A is 17 and therefore 11 = P(B - 6)
11/P = B-6
(11/P) + 6 = B
please make as brainleylist
which of the following functions is graphed below
Answers
Answer:
A.
Step-by-step explanation:
When X is zero y is 7.
It looks like the y intercept is 7 hard to tell in the picture
Answer:
im going to guess C
Step-by-step explanation:
Find the number whose arithmetic square root is 0.6
Answers
Answer: 0.36
Step-by-step explanation:
6/10 x 6.10= 36/100
find the smallest number by which the number108 must be multiplied to obtain a perfect cube
Answers
Answer:
2
Step-by-step explanation:
108*2
=216
216
=6^3
PLS GIVE BRAINLIEST
Translate this sentence into an equation.
17 less than Vidya's savings is 64
Answers
Answer:
S - 17=64
Step-by-step explanation:
What is the equation in standard form of the line y = 19x + 5?
i am doing a test. thank you.
Answers
Answer:
19x-y=-5
Step-by-step explanation:
Tip: don't say you need an answer for a test may get reported or banned. :)
You're welcome :)
Which expression is equivalent to sqrt(80)?
Answers
Answer:
b on edg
Step-by-step explanation:
second part
a=4
b=5
fifty two seventh graders joined the swim club this year. THis is for more than six times the number seventh graders who joined the swimming club last year. How many seventh graders joined the swimming club last year. Brainly
Answers
Answer:
312
Step-by-step explanation:
52x6
given f(x)=4x-3, solve for x when f(x)=9
Answers
Division expression
Answers
Explanation:
4*3+1=13
13/3 divided by -5/6
Select the correct answer.
Which expression is equivalent to this polynomial?
x^2+8
OA. ( + 2/2)(x – 2/2)
B. (5 + 4i) (3 – 4i)
oc. (x + 2√2)
D. (x + 2/2i)(x – 2/2i)
Answers
The expression x²+8 is equivalent to ( x + 2√2i) ( x - 2√2i).The correct option is D.
What is an Expression?An expression is a statement consisting of variables, constants, and mathematical operators.
The expression x²+8 can be written as
( x )² - ( 2√2i)²
This is representing the binomial Identity
a² - b² = ( a+b) (a-b)
here a = x , b =2√2i
The expression can be written as
( x )² - ( 2√2i)² = ( x + 2√2i) ( x - 2√2i)
Therefore, The correct option is D.
To know more about Expression
https://brainly.com/question/14083225
#SPJ2
Answer: D.)
Step-by-step explanation: I got it right on the test!!
Bhmbbu.jgHello I need help with the square root of 1867 and the square root of 5098 6x9x7x5x4
Answers
Answer:
Hello!
Step-by-step explanation:
What did the thief get for stealing the calendar?
Here is a riddle
the product of 0.43 and 5.024 is greater than 0.43 and less than 5.024 true or false
Answers
Answer: True
Step-by-step explanation:
First find the product of 0.43 and 5.024 so see if it is greater than 0.43.
0.43 * 5.024 = 2.16032
2.16032 is indeed greater than 0.43 , 2.16032 > 0.43
And 0.43 is indeed less than 5.024 , 0.43 < 5.024
Meaning that this state is true.
Answer:
True
Step-by-step explanation:
Product refers to multiplication, the question is telling us to multiply 0.43 and 5.024 so lets do that
0.43 * 5.024 = 2.16032
Now we have to figure out if this fits the criteria. It must be larger than 0.43 but smaller then 5.024
...
...
...
That checks out.
True
Brainliest is much appreciated!
Five less than the area of a square is 59 square feet. Find the side length of the square.
Answers
Answer:
4 feet
Step-by-step explanation:
Let the side length of the square be x feet.
x^2 - 5 = 59
x^2 = 64
x = ±4 (reject - 4 since length > 0)
Topic: Areas of polygons
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
A rope that is 168 ft long is to be cut into three pieces such that the second piece is 6 ft less than three times the first, and the third is 2 ft more than two-thirds of the second. Find the length of the longest piece.
Answers
Answer:
Length of longest piece is 82 ft
Step-by-step explanation:
Let the measure of the second piece be x
First piece be y
second piece is 6 ft less than 3 times the first
x = 3y - 6
y = (x + 6)/3
3rd piece = 2 + 2/3 * x
= 2 + 2x/3
Adding all equals 168
we only add in terms of x
so we have;
x + (x + 6)/3 + 2 + 2x/3 = 168
Multiply through by 3
3x + x + 6 + 6 + 2x = 504
6x + 12 = 504
6x = 492
x = 492/6
x = 82 ft
So the other pieces are
(x + 6)/3 = 82+6/3 = 88/3 ft
And lastly
2 + 2x/3
= 2 + 164/3 ft