Please help me with this question
I tried to use the law of cosine but the numbers I get are in decimal places and are too small for the angles.
Answers
Answer:
y = √119 ≈ 10.909θ ≈ 65.376°α ≈ 24.624°sin(θ) = (√119)/12 ≈ 0.909059cos(θ) = 5/12 ≈ 0.416667tan(θ) = (√119)/5 ≈ 2.181742csc(θ) = (12√119)/119 ≈ 1.100038sec(θ) = 2.4cot(θ) = (5√119)/119 ≈ 0.458349Step-by-step explanation:
You can use the Law of Cosines after you find y or θ. Using the given information, you can apply the Pythagorean theorem, the Law of Sines, or the definition of the cosine trig function.
The mnemonic SOH CAH TOA is intended to remind you of the relations between sides and angles in a right triangle. It tells you ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Find yThe Pythagorean theorem relates the measures of the sides. It tells you ...
y² +5² = 12²
y = √(144 -25) = √119
Find anglesThe trig relations above tell you ...
sin(α) = 5/12 ⇒ α = arcsin(5/12) ≈ 24.624°
cos(θ) = 5/12 ⇒ θ = arccos(5/12) ≈ 65.376°
Of course, once you find one of the angles, you can find the other. The sum of the two acute angles in a right triangle is 90°.
Find trig functionsUsing the definitions above for the trig functions, you have ...
sin(θ) = y/12 = (√119)/12
cos(θ) = 5/12
tan(θ) = y/5 = (√119)/5
Using trig identities, you have ...
csc(θ) = 1/sin(θ) = 12/√119 = (12√119)/119
sec(θ) = 1/cos(θ) = 12/5 = 2.4
cot(θ) = 1/tan(θ) = 5/√119 = (5√119)/119
_____
Additional comment
The attached calculator screen shot shows you the angle θ on the first line, and the value of y on the second line. The csc, sec, and cot are shown on the third line. You will notice the angle mode (DEG) is seen in the lower left corner. If the calculator angle mode is set to radians, you will see the angles as relatively small radian values: θ ≈ 1.141, α ≈ 0.4298.
We have shown both exact values and decimal values you can round to the desired precision.
Related Questions
Solve for x: √x + 3-4=7
Answers
Answer:
x = 64
Step-by-step explanation:
Solve for x: √x + 3-4=7
√x + 3-4=7
= √x + 1 = 7
= √x = 7 + 1
= √x = 8
= (√x)² = 8²
x = 64
Answer: 5 x 4/7
Full explanation.
Answers
5/1 x 4/7 (Cross Multiply) =20/7
Answer:
20/7
Step-by-step explanation:
5×4/7
numerator5×numerator4=20
denominator 7×denominator1=hence,answer is
20/7
Understand equivalent ratios in the real world
Ani thinks the perfect milkshake has 5 scoops of ice cream for every 3 spoonfuls of caramel. Freeze Zone makes
"batches of milkshakes with 10 scoops of ice cream and 7 spoonfuls of caramel.
What will Ani think about the amount of caramel in Freeze Zone's milkshakes?
Choose 1 answer:
Freeze Zone's milkshakes have too much caramel.
Freeze Zone's milkshakes have too little caramel.
Freeze Zone's milkshakes are just right.
Answers
Answer:
They have too much caramel
Step-by-step explanation:
The ratio to the perfect milkshake would be 5:3 (5 ice-cream, 3 caramel)
The ratio for freeze zones milkshakes are 10:7 (10 ice-cream, 7 caramel)
As you can see the amount of has ice-cream has doubled (5x2=10)
but the amount of caramel has increased more than double (double would be 3x2=6 but its not it is 7)
Therfore there is too much caramel for the 'perfect milkshake'
Hope this helps :)
Answer:
It is she will think there is too much caramel
Step-by-step explanation:
This is because the ratio of 5:10 is 1:2, so you will have to multiply 3 by 2, which is 6, which is smaller than 7.
What’s the first step
Answers
Answer:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y
.
x-intercept(s): None
y-intercept(s): (0,5)
Step-by-step explanation:
The equation of a line is y = 1.5x − 2. What are its slope and y-intercept?
Answers
You need to use y=mx+c to answer this so basically
gradient/slope (m) is 1.5 and the y-intercept (c) is -2
Hope this helps :)
[tex]\triangleright[/tex]Hii! [tex]\triangleleft[/tex]
-- - -- - -- - -- - -- - - - -- - -- - -- - -- - -- - -- - -- -- -- - -- -- - -- -- -- -- --- -- -- --- - -- -- --
[tex]\triangleright[/tex] [tex]\stackrel\circ{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}}}\circ\leftharpoonup[/tex] [tex]\triangleleft[/tex]
Slope = 1.5 ✅Y intercept = -2 ✅[tex]\stackrel\circ{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation}}}\circ\leftharpoonup[/tex]
[tex]\bullet[/tex] Let's start by examining the equation we are working with more closely
-- ↩
This particular equation is provided to us in "slope intercept form".
--
The slope intercept formula is "[tex]\boldsymbol{y=mx+c}[/tex]"
--
In this formula the letter "m" denotes the slope; the letter "c" denotes the y intercept.
(Remember, variables (letters) represent numbers! ^__^)
--
[tex]\bullet[/tex] Above is all the information we need to come up with a solution to the given problem! ^^
--
Now it's time we considered this.
"What is the slope & y intercept of the equation y=1.5x-2?"
--
If in the formula y=mx+c, the slope is m, then what is the slope in the equation y=1.5x-2?
The slope is [tex]\large\boxed{\mid \boldsymbol{1.5} \mid}}[/tex].
The y intercept is [tex]\large\boxed{\mid \boldsymbol{-2} \mid}}[/tex]
[tex]\Large\text{Great job!! c:}[/tex]
--
Hope that this helped! Best wishes!
[tex]\textsl{Reach far. Aim high. Dream big.}[/tex]
--
[tex]\underline{\underline{\underline{\overbrace{\boldsymbol{Learn\;More!!}}}}}[/tex]
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In the figure below not drawn to scale. DC is a tangent to the circle. DC = 6cm, AB = 5cm. Calculate BC. (3mks)
Answers
Answer:
4
Step-by-step explanation:
DA²= CB×CA
6²= y×(y+5)
36=y²+5y
y²+5y-36=0
x1+x2=-5
x1×x2=36
x1=4
x2=-9
x must be positive, then answer is 4
chek: 4×9=36
one angle of a triangle measures 80° more than the smallest, while a third angle is twice the smallest. whats the measure of each angle?
Answers
Answer: The measure of each angle is 105°, 50°, and 25°.
Step-by-step explanation: The first step in solving this is writing down what you know.
In the phrase it tells you that "one angle of a triangle measures 80 more than the smallest", so we can say that one angle = 80 + smallest angle.
This can be simplified more to x = 80 + y
x = One Angle
y = Smallest Angle
Then if we continue with the phrase it says "a third angle is twice the smallest", so we can say that a third angle = 2(Smallest Angle).
This can be simplified more to z = 2(y)
z = Third Angle
We also know that a triangles angles add up to 180°, so we know x + y + z = 180.
So, with these equations we can now solve for x, y, and z.
The easiest way would be to simply just plug in x and z straight into the 180 equation as follows.
x = 80 + y
z = 2(y)
180 = x + y + z
180 = (80 + y) + y + (2y)
180 = 80 + 4y
100 = 4y
y = 25
Then we can use y to solve for the other two equations.
z = 2(25) x = 80 + 25
z = 50 x = 105
After completing that you are left with the three angles of the triangle, 25, 50, and 105.
These points are linear.
Find the slope.
x
012345
y 3 6 9 12 15 18
slope = [?]
Answers
Answer:
Step-by-step explanation:
can someone please help mee
Answers
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:Domain = [-2, 1)[/tex]
[tex]\qquad \tt \rightarrow \:Range = [0 , 4][/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Domain = All possible values of x for which f(x) is defined
[ generally the extension of function in x - direction ]
Range = All possible values of f(x)
[ generally the extension of function in y - direction ]
[tex] \large\textsf{For the given graph : } [/tex]
[tex]\qquad \tt \rightarrow \: domain = [ - 2,1)[/tex]
[tex]\qquad \tt \rightarrow \: range= [ 0,4][/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
a sunflower has increased in height from 72.4cm to 86.2 cm. what is the percentage increase?
Answers
Answer:
initial hieght = 72.4 cm
final hieght = 86.2 cm
change in hieght = 9.8 cm
percentage increase = (9.8 ÷ 72.4 ) * 100 = 13.59 %
The number of boys who signed up to play winter basketball is 175 percent of what it was last year. if 320 boys played winter basketball last year, how many signed up to play this year?
Answers
The number of boys signed up to play basketball this year is 560.
Given that, the number of boys who played basketball last year = 320.
We need to find the number of boys signed up to play basketball this year.
What is a percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100.
Now, the number of boys signed up to play basketball this year = 175 per cent of what it was last year.
So, the number of boys signed up to play basketball this year = 175% of 320
[tex]=\frac{175}{10} \times 320=1.75 \times 320=560[/tex]
Therefore, the number of boys signed up to play basketball this year is 560.
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The pie chart below shows how the annual budget for a certain companies divided by department is a total budget is 15,000,000 what amount is budgeted for sales research and engineering combined
Answers
If the amount of budget for media and sales combined is $25,000,000. Then the total annual budget will be $125,000,000.
The complete question is attached below.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
The pie chart below shows how the annual budget for a certain company divided by department.
If the amount of budget for media and sales combined is $25,000,000.
Then the total annual budget will be
Let x be the total annual budget.
17% + 3% = 25,000,000 / x
20% = 25000000 / x
0.20 = 25000000 / x
x = $125,000,000
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Which of the following did you include in your response? Check all of the boxes that apply. the range, or spread, of the salaries whether most people make a very low salary and one or two people make a high salary the minimum salary, and whether that is an entry level or starting salary the maximum salary whether the maximum salary is a lot higher than the average and other salaries are a lot lower than the mean
Answers
Answer:
Check all of them
Step-by-step explanation:
If you are on Edg, just check all of them.
23.
(05.07 MC)
Use the data in the table to determine the correlation coefficient. (1 point)
Overall Student Average Math Class Average
90 80
95 90
80 90
84 95
75 75
80 85
0.65
0.35
0.30
0.03
Answers
The correlation coefficient of the data given in the table, using a calculator, is of 0.35
How to find the correlation coefficient of a data-set using a calculator?To find the coefficient, we need to insert the points (x,y) in the calculator.
In this problem, we have that:
The values of x are: 90, 95, 80, 84, 75, 80.The values of y are: 80, 90, 90, 95, 75, 85.Using a calculator, the coefficient is of 0.35.
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The following data shows the temperature of a city, in degrees Celsius, on consecutive days of a month:
8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4
Which box plot best represents the data? (1 point)
Answers
SECOND ONE
Step-by-step explanation:
Trust me
The second box plot represents the data 8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4 option second is correct.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have a box plot shown in the picture.
The data:
8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4
From the data given:
The minimum value = 8.2
The maximum value = 8.9
Q1 = 8.3
Q2 = 8.4
Q3 = 8.5
As we can see in the second box plot this data is represented.
Thus, the second box plot represents the data 8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4 option second is correct.
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1kg of sugar costs ₹25.30 . Find the cost of 13.5kg of sugar
Answers
Answer:
₹ 341.55
Step-by-step explanation:
Cost of 1 kg sugar = ₹ 25.30
Cost of 13.5 kg sugar = 25.30 × 13.5 = 341.55
Hence, the cost of 13.5 kg is ₹ 341.55
If you are writing, write statements too as in my school they give extra marks.
Thankyou and have a great day ahead.
Answer:341.55
Step-by-step explanation:
If one KG of sugar does cost ₹25.3 and if you want to know how much 13.5 kg costs you just would have to multiply/times ₹25.3 by 13.5 and what is 25.3 x 13.5. ₹341.55 and that's your answer!
can someone please help mee and graph it for me pleasee(20 points and i will give brainliest!!!)
Answers
Answer:
vertex: (3,1)
y-intercept = (0,-8)
x-intercept- Smaller=2 Larger=4
Domain= all real numbers, identity, infinite
Range= 1 is greater than or equal to y
axis of symmetry=3
Step-by-step explanation:
What is the number of possible combinations of 7 objects taken 4 at a time?
OA. 5,040
OB. 840
OC. 210
OD. 35
Answers
The number of possible combinations of 7 objects taken 4 at a time is 35. Then the correct option is D.
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
The number of possible combinations of 7 objects taken 4 at a time.
so, the number of the combination is given as
[tex]^7C_4 = \dfrac{7!}{4!(7-4)!} \\\\\\^7C_4 = \dfrac{7!}{4!(3)!} \\\\\\^7C_4 = \dfrac{7 \times 6\times 5\times 4!}{4!(3\times 2)} \\\\\\^7C_4 = 35[/tex]
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Answer:
D. 35
Hope this helps!
Step-by-step explanation:
Jacob traveled 171 miles in 3.8 hours. He wants to know how many miles he traveled in one hour, so he set up this problem:
Answers
Answer:
so first we have to divide each side by 38
4.5miles=0.1
45miles=1 hour
Hope This Helps!!!
If 5 hours at a computer terminal costs $25, what is the cost of 6 hours?
A. $30
B. $45
C. $150
D. $12
Answers
Answer:
30 dollars
Step-by-step explanation:
25/5 = 5 dollars per hour
so 6 hours would be 5 * 6 = 30 dollars
Answer:
It would be B
Step-by-step explanation:
First, we need to find out the unit rate
5/25=1/5
Therefore, that means in one hour the cost would be $5
Since you are going from one hour to 6 hours you need to multiply both numbers by 6
Since 5x6=30, it would be 30$ :)
Please answer!!
-3 + 4/7 - 1/5
Answers
Step-by-step explanation:
please mark me as brainlest
Answer:
-92/35
Step-by-step explanation:
-3 + 4/7 - 1/5 =
-21/7 + 4/7 - 1/5 =
-(21*5) / (7*5) + (4*5)/(7*5) - (1*7)/(5*7) =
-105/35 + 20/35 - 7/35 =
-105+20-7 / 35 = -92/35
Which of the following describes point D?
O (-4,0)
O (4,0)
O (0,4)
O (0,-4)
Answers
Answer:
The answer is C (0,4)
Step-by-step explanation:
Looking at the graph we have to find a point (x,y) of D.
Find point D. It is on the y-axis, but which one? Positive/Negative y-axis.
It appears to be on the positive y-axis.
Now we have to choose either option C or D.
Option C seems like the best choice since the point is (x,y) is (0,4) on the positive y-axis.
Option D is quite the opposite of point D since the point (0, -4) is on the negative y-axis.
The answer is C. (0,4)
I need hard and easy math questions with the answer, i need 10 questions
thnx
Answers
Answer:
https://www.khanacademy.org/
Step-by-step explanation:
I am not entirely sure what you mean however if you sign up for this website and go to whichever grade level you need you can practice all you want
Which property allows you to write the expression (3 7i) (8 − 6i) as (8 − 6i) (3 7i)?
Answers
Answer:
Commutative property
(c) The result of a number, when increased by 40%, is 2.1. Find the number. ( c ) The result of a number , when increased by 40 % , is 2.1 . Find the number .
Answers
Answer:
1.5 is the number.
Explanation:
Let the number be 'n', this is 100% - original number.
When increased by 40%, 100% + 40% = 140%.
140% × n = 2.1
1.4n = 2.1
n = 2.1/1.4
n = 1.5
Hence, the original number is 1.5.
Solve for x
((x + 3)/4) + (((2x - 12) - 1)/3) = 1
Answers
Answer:
x=5
Step-by-step explanation:
[tex]((x+3)/4)+(((2x-12)-1)/3)=1\\\frac{x+3}{4} +\frac{2x-12-1}{3} =1\\\frac{x+3}{4} +\frac{2x-13}{3} =1\\[/tex]
Now we have to cross multiply the denominator to progress further.
[tex]\frac{3(x+3)}{4*3} +\frac{4(2x-13)}{3*4} =1\\\frac{3x+9}{12} +\frac{8x-52}{12} =1\\\frac{3x+9+(8x-52)}{12} =1\\\frac{3x+9+8x-52}{12} =1\\\frac{11x-43}{12} =1\\11x-43=12\\11x=43+12\\11x=55\\x=\frac{55}{11} \\=5[/tex]
Use the formula to solve the equation x^2 + 9x + 8 = 0.
Answers
Answer:
[tex]x=-8, -1[/tex]
Step-by-step explanation:
Given the equation [tex]x^{2} +9x+8=0\\[/tex],
By the quadratic formula,
[tex]x=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex],
[tex]x=\frac{-(9)+-\sqrt{(9)^{2}-4(1)(8) } }{2(1)}=\frac{-9+-\sqrt{49 } }{2}=\frac{-9+-7 }{2}[/tex]
We have two different solutions for x where [tex]x=\frac{-9-7 }{2}[/tex] and [tex]x=\frac{-9+7 }{2}[/tex]
So, x = [tex]-16/2=-8[/tex] and [tex]x=-2/2=-1[/tex]
Therefore, the solutions to this quadratic equation is x = -8, -1, by the quadratic formula.
In a cake recipe, 400 grams of butter is mixed with 800 grams of flour. What is the ratio of the butter to the flour? Write it in its simplest form.
Answers
Answer:
First of all this is 5th grade math but 400/800 = 1/2
Step-by-step explanation:
Answer:
1:2
Step-by-step explanation:
400/800=1/2 as 400*2=800
A surveyor is measuring the distance across a canyon. He sets up two similar right triangles and finds that the length of CD = 12 feet and the length of DE = 16 feet.
If △ABC ~ △EDC, what is the length side AB?
Answers
The length side AB is 64 ft , Option D is the correct answer.
What is a Right triangle ?A triangle that has one angle 90 degree is called Right angled Triangle.
From the figure it can be seen that
The triangle CDE is a right Triangle
Applying Pythagoras theorem to find the length of CE
CE² = 12² + 16²
CE = 20 ft
As both the triangles are similar therefore the ratio of the sides will be equal
BC : CD = AC : CE
48 / 12 = AC / 20
AC = 80ft
As Triangle ABC is also a right angled triangle
Applying Pythagoras theorem to find the length of AB
AC² = BC² +AB²
6400 = 48² +AB²
AB² = 4096
AB = 64 ft
Therefore Option D is the correct answer.
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Answer:
64 ft.
Step-by-step explanation:
Keep it simple, just givin' the answer :)
The data set represents the number of minutes dan spent on his homework each night. 30, 35, 35, 45, 46, 46, 52, 55, 57 which box plot correctly represents the data?.
Answers
The box plot first represents the data set option first is correct the third quartile lies between 52 to 54.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have data set:
30, 35, 35, 45, 46, 46, 52, 55, 57
We can find below details from the data set:
Population size = 9
Minimum: 30
First quartile: 35
Median = 46
Third quartile = 53.5
Interquartile Range = 18.5
Maximum = 57
Outliers = none
Thus, the box plot first represents the data set option first is correct.
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