Please help
Find the missing part.
y = __ √_ ????
the first blank is a fraction with two numbers on top
Answers
Answer:
Here we have two triangle rectangles, and we want to know the value of y, the shared cathetus between them.
First, we know that one of them has an angle of 60° and the adjacent cathetus to it is a.
The other has an angle of 30° and the adjacent cathetus is b.
In both cases, the opposite cathetus is y.
Now we can recall the relationship:
Tan(a) = (opposite cathetus)/(adjacent cathetus)
Then we can write:
tan(60°) = y/a
tan(30°) = y/b
And we also know that:
a + b = 15
Then we have 3 equations:
tan(60°) = y/a
tan(30°) = y/b
a + b = 15
To solve this, we first need to isolate one variable in one of the equations, i will isolate a in the third equation:
a = 15 - b
Now we can replace it in the first equation to get:
tan(60°) = y/(15 - b)
i will rewrite this one as:
tan(60°)*(15 - b) = y
then our system is:
tan(60°)*(15 - b) = y
tan(30°) = y/b
now we can isolate b in the second equation to get:
b = y/tan(30°)
and then replace it on the other equation to get:
tan(60°)*(15 - y/tan(30°)) = y
Now we can remember that:
tan(60°) = √3
tan(30°) = (√3)/3
Replacing these in our equation we get:
√3*(15 - y/((√3)/3)) = y
we can rewrite this as:
√3*(15 - y*3/√3) = y
then:
(√3)*15 - y*3 = y
(√3)*15 = y + y*3
(√3)*15 = 4*y
(√3)*15/4 = y
then we get:
[tex]y = \frac{15}{4} *\sqrt{3}[/tex]
Related Questions
HELP ASAP WILL MARK BRAINLIEST
Estimate the difference by rounding each mixed number to the nearest half or whole number.
6 9/10 - 2 2/9
Answers
Answer:
4 1/2
Step-by-step explanation:
exact
6 9/10=6 81/90
2 2/9=2 20/90
6 81/90-2 20/90=4 61/90
rounds to 4 1/2
Carlos spends $14.38 on equipment. How much change should Carlos receive if he gives the clerk $20.00?
Answers
Scrieți multipli lui 7 mai mari decât 10 și mai mici decât 20
Answers
The answer is here:
7 . 2 = 14, 10 >14 > 507 . 3 = 21, 10 > 21 > 50
7 . 4 = 28, 10 > 28 > 50
7 . 5 = 35, 10 > 35 > 50
7 . 6 = 42, 10 > 42 > 50
Hope This Helps! Have A GREAT Day!
The salaries of 4 players on a professional basketball team average $200,000 per year. If a fifth player is hired for $400,000 per year, what will be the average salary for the 5 players? Answer with supporting work:
Answers
If salary average of 4 players is making $200,000/yr, what's the total payroll? It should be $200K x 4 or $800,000.
Now if you add in that 5th player at $400,000 what is the total payroll of all 5 players? It should be $800,000 + $400,000 = 1,200,000. From there you can find the average of the 5 players by dividing!
help plz I will give you BRAINLYST I don't know if I spelled that right lol but plz and I will give you a follow plz help me
If s = 1 over 2 unit and A = 16s2, what is the value of A, in square units? ____ square unit(s). (Input whole number only.)
Answers
Answer:
The value of A, in square units is:
1
Step-by-step explanation:
Answer:
6o0
Step-by-step explanation:
Which expression is equivalent to 12x - 20 - 5(x
Answers
Answer:
7x-5 combine like terms order off operations hope this helped
Step-by-step explanation:
Answer:
Step-by-step explanation:
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PLEASE ANSWER THIS, LIKE ITS REALLY EASY I BEG. IM JUST HORRIBLE AT MATHS AND ILL GOVE BRAINLEST.
Answers
Answer:
(0,-2)
Step-by-step explanation:
Answer:
(0,-2)
Step-by-step explanation:
I hope im right!!
If the projections of vector à on x, y and z axis are 2,1,2 units respectively, find the angle at which vector à is inclined to the z-axis
Answers
is 8/12 greater than 10/15?
and how do you know?
Answers
Answer:
no, they are equal. we know this because when reducing both they are equal.
Step-by-step explanation:
first find the least common denominator
that's 3
reduce fractions until the denominator is both 3
we get 2/3 and 2/3. the proportions are equal.
What is the prime factorization of 18?
A. 18 = 6 x 3
B. 18 = 2 x 3 x 3
C. 18 = 2 x 2 x 3
D. 18 = 2 x 9
Answers
10,12,6,1,9,16,20,17,8 find the meana
Answers
Answer:
mean 11 median 10
Step-by-step explanation:
a coach buys a uniform and a soccer ball for each of 12 players on the team each soccer ball cost $15 the coach spends the $432 for uniforms and soccer balls how much does each uniform cost
Answers
Answer:
$21
Step-by-step explanation:
12 times 50 is 180. 432 minus 180 is 252. 252 divided by 12 is 21.
Hello, I hope you are having a great day, your question, a coach buys a uniform and a soccer ball for each of 12 players on the team each soccer ball cost $15 the coach spends the $432 for uniforms and soccer balls how much does each uniform cost Okay so we know we got 12 players on each team that cost $15 for a soccer ball so we times that by 12 = $180 now we take away that from $432 - $180 = 252$ then divide that 12 = 21 so the uniform cost $21 all together.
Round to the nearest thousandth
5906÷72
Answers
Answer:
82.028
Step-by-step explanation:
hope it helps
Keith has a package of 75 marbles.He gave an equal number of marbles to each of his 8 friends. How many marbles will be left over?
Answers
Answer:
9
Step-by-step explanation:
The number of marble left if Keith has a package of 75 marbles, He gave an equal number of marbles to each of his 8 friends, is 3.
What is division?Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups.
When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. For instance, 4 2 = 2. As a multiplication fact, this can be expressed as 2 + 2 = 4.
Given:
Keith has a package of 75 marbles, He gave an equal number of marbles to each of his 8 friends,
Calculate the number of marble left as shown below,
The number of marble left = Reminder of (total number of marble / 8)
The number of marble left = Reminder of(75 / 8)
The number of marble left = 3
Thus, the number of marble left is 3.
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2.2.31
Among fatal plane crashes that occurred during the past 70 years, 217 were due to pilot error, 66 were due to other human error, 279 were due to weather, 254 we
problems, and 143 were due to sabotage."
Construct the relative frequency distribution. What is the most serious threat to aviation safety, and can anything be done about it?
Complete the relative frequency distribution below.
Relative
Cause
Frequency
Pilot error
Other human error
Weather
Mechanical problems
Sabotage
(Round to one decimal place as needed.)
tions
pport
Check Answer
Answers
Answer:
The answer is "Option A".
Step-by-step explanation:
Please find the complete question in the attachment file.
Calculating the value of total deaths [tex]= 503 + 90 + 326 + 382 + 643 = 1944[/tex]
The relative frequency of the table can be defined as follows:
[tex]reason \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Calculation \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Relative \ frequencies \\\\[/tex]
[tex]Pilot \ error \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{503}{1944} = 0.258 \ \ or \ \ 25.8\% \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 25.8 \% \\\\[/tex]
[tex]Another \ human \ error \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{90}{1944} = 0.046 \ or \ 4.6\% \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 4.6 \% \\\\Weather \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{326}{1944} = \ 0.168\ or \ 16.8 \% \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 16.8\% \\\\[/tex]
[tex]Mechanical \ \ issues \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{382}{1944} = 0.197 \ \ or\ \ 19.7\% \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 19.7 \% \\\\Sabotage \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{643}{1944} = 0.331 \ \ or \ \ 33.1\% \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 33.1\% \\\\[/tex]
Sabotage has been the most significant threat to aviation safety because it is the highest frequency of sabotage. Safety only at the airport might be improved.
Which figure appears to show
parallel lines?
A
B
C
D
Answers
Find U
Write your answer as an integer or as a decimal rounded to the nearest tenth.
U =
Answers
w/sin(w) = u/sin(u)
Substitute:
11/sin(35) = u/sin(112)
Multiply by sin(112) to solve for u:
(11*sin(112)) / sin(35) = u
Solve:
10.199 / 0.574 = u
17.768 = u
17.8 = u :)
Example 1
(a) Consider the pulse rates of two patients in a hospital for ten different days:
Patient A: 17 16 70 69 70
75 78 70 71
69
Patient B: 59
92
60
80 71
65
50
88
95 70
Find the mean pulse rate for each patient and the corresponding range.
Answers
Answer:
1a. Mean pulse rate for A = 60.5
1b. Range for A = 62
2a. Mean pulse rate for B = 73
2b. Range for B = 45
Step-by-step explanation:
1a. Determination of the mean pulse for patient A.
Data => 17, 16, 70, 69, 70, 75, 78, 70, 71, 69
Mean =?
The mean pulse rate for patient A can be obtained as follow:
Summation of data = 17 + 16 + 70 + 69 + 70 + 75 + 78 + 70 + 71 + 69
Summation of data = 605
Number of data = 10
Mean = summation of data / number of data
Mean = 605 / 10
Mean pulse rate for A = 60.5
1b. Determination of the range for patient A
Data => 17, 16, 70, 69, 70, 75, 78, 70, 71, 69
Range =?
Range = Highest – Lowest
Highest = 78
Lowest = 16
Range = Highest – Lowest
Range = 78 – 16
Range for A = 62
2a. Determination of the mean pulse for patient A.
Data => 59, 92, 60, 80, 71, 65, 50, 88, 95, 70
Mean =?
The mean pulse rate for patient B can be obtained as follow:
Summation of data = 59 + 92 + 60 + 80 + 71 + 65 + 50 + 88 + 95 + 70
Summation of data = 730
Number of data = 10
Mean = summation of data / number of data
Mean = 730 / 10
Mean pulse rate for B = 73
2b. Determination of the mean pulse for patient B.
Data => 59, 92, 60, 80, 71, 65, 50, 88, 95, 70
Range =?
Range = Highest – Lowest
Highest = 95
Lowest = 50
Range = Highest – Lowest
Range = 95 – 50
Range for B = 45
Justin made 184 for 8 hours of work. At the same rate, how many hours would he have to work to make 115?
Answers
Answer:
8/184
0.0434782609x115
5
Step-by-step explanation:
5
Jessica drove for 6 hours at 51 mph. How far did Jessica drive?
Answers
Answer:
306 miles
Step-by-step explanation:
6 x 51
Answer:
162.5 miles
Step-by-step explanation:
hope this helps :)
Ryan is saving for his college tuition. He has $2,550 in a savings account that pays 6.25% annual interest.
Answers
A circular flower garden has a diameter of 16 ft. A square pond is placed in the center that measures 5 ft on each side. About how much area of the garden remains for the flower garden
Answers
Answer:
779.352 ft^2
Step-by-step explanation:
Given data
Diameter of circular garden= 16ft
Radius of garden= 16/2= 8ft
Length of side of square pond= 5ft
Area of circular garden= πr^2
A=3.142*16^2
A= 3.142*256
A=804.352 ft^2
Area of square pond
A= L^2
A= 5^2
A= 25ft
Hence the area that remains
=Area of circular garden- Area of square pond
=804.352- 25
= 779.352 ft^2
I need help with these fractions
Answers
In the figure, the area of the shaded part is 40% of the area of Square P. It is also 20% of the area of square q. What percent of the figure is shaded?
Answers
Answer:
i need HELP ON THIS ONE PLEASE HELP
Step-by-step explanation:
What is the value of 2 ^ 3
Answers
Answer:
8
Step-by-step explanation:
2^3 is the same as 2 x 2 x 2
2 x 2 is 4 and 4 x 2 is 8
so 2^3 is 8
Answer:
8
Step-by-step explanation:
help! (Math and area!!)
Answers
Answer:
1.) Triangle is 1/2 x b x h (Which is option C)
2.) Rhombus is ½ × d1 × d2. (Which is option A)
3.) Trapezoid is ½(b 1+b 2)h or (b1 + b2)h/2 (Which is option B)
4.) Parallelogram is base x height (Which is option D)
Step-by-step explanation:
Plz help it’s due today
Answers
Answer:
4 7 /32
Step-by-step explanation:
135 : 32 = 4 ( 7)
Kết quả:
135 /32
= 4 7 /32
Answer:
[tex]4\frac{7}{32}[/tex]
Step-by-step explanation:
Given the mixed numbers:
[tex]1\frac{1}{4}[/tex],[tex]1\frac{1}{2}[/tex],[tex]2\frac{1}{4}[/tex]
First, we need to convert them into improper fractions of the denominator of 4.
1 1/4 = 5/4
1 2/4 = 6/4
2 1/4 = 9/4
So we multiply 1 1/4 x 1 2/4 x 2 1/4 which gets us 4 7/32
a number reduced by the difference between 14 and 6 equals -6. Find the number.
Answers
Answer:
2
Step-by-step explanation:
?-(14-6)=-6
?-8=-6
2-8=-6
help please “SHOW YOUR WORK!”
Answers
Answer:
384π cm³ ≈ 1206.37 cm³
Step-by-step explanation:
Insert the values the problem gives to us.
V = π(12)²(8)/3
⇒ π(144)(8)/3
⇒ 384π ≈ 1206.37
The diagram shows a right-angled triangle.
hcm
7 cm
38°
What is the value of h?
Give your answer correct to 1 decimal place.
Answers
The measure of value of h from the trigonometric relations is h = 11.4 cm
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as ΔABC
Now , the value of sides of the right triangle ABC is
AB = 7 cm
AC = h cm
The angle ∠ACB = 38°
Now , from the trigonometric relations , we know
sin θ = opposite / hypotenuse
Substituting the values in the equation , we get
sin θ = 7 / h
sin 38° = 7 / h
Multiply by h on both sides of the equation , we get
h ( sin 38° ) = 7
Divide by sin 38° on both sides , we get
h = 7 / sin 38°
Substitute the value of sin 38° = 0.6157
h = 7 / 0.6157
h = 11.369 cm
Rounding the value to 1 decimal place , we get
The value of h = 11.4 cm
Hence , The measure of value of h is h = 11.4 cm
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