Answers
Answer:
[tex]\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}[/tex]
Step-by-step explanation:
Given
[tex]\sin(105^o)[/tex]
Required
Solve
Using sine rule, we have:
[tex]\sin(A + B) = \sin(A)\cos(B) + \sin(B)\cos(A)[/tex]
This gives:
[tex]\sin(105^o) = \sin(60 + 45)[/tex]
So, we have:
[tex]\sin(60 + 45) = \sin(60)\cos(45) + \sin(45)\cos(60)[/tex]
In radical forms, we have:
[tex]\sin(60 + 45) = \frac{\sqrt 3}{2} * \frac{\sqrt 2}{2} + \frac{\sqrt 2}{2} * \frac{1}{2}[/tex]
[tex]\sin(60 + 45) = \frac{\sqrt 6}{4} + \frac{\sqrt 2}{4}[/tex]
Take LCM
[tex]\sin(60 + 45) = \frac{\sqrt 6 + \sqrt 2}{4}[/tex]
Rewrite as:
[tex]\sin(60 + 45) = \frac{\sqrt 2 + \sqrt 6}{4}[/tex]
Hence:
[tex]\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}[/tex]
Related Questions
Estimate the product of -3.33 and 0.199 using the compatible numbers -3 and 0.2. Find the exact product of -3.33(0.199).
Answers
Answer:
-0.6
-0.66267
Step-by-step explanation:
Estimating the product :
Using compatible number :
-3 * 0.2
__ 0.2
* ___-3
______
_ - 0.6
______
-3 * 0.2 = 0.6
The exact product :
-3.33(0.199).
Using calculator :
-3.33(0.199) = - 0.66267
Answer:
-0.66267
Your. Welcome
Find the following probabilities based on the standard normal variable Z. (You may find it useful to reference the z table
answers to 4 decimal places.)
a. P(Z > 1.12)
b. P(Z S-2.35)
c. POSZ s 1.34)
d. P(-0.8 sz s 2.44)
Answers
Answer:
Step-by-step explanation:
a. P(Z > 1.12) = 1-N(1.12) = 1-0.8686431=0.1313569
b. P(Z S-2.35) => P(Z <= 2.35) = 0.009386706
(please check interpretation of question b)
c. POSZ s 1.34) => P(0 <= Z <= 1.34) = 0.9098773 - 0.5 = 0.4098773
(please check interpretation of question c)
d. P(-0.8 sz s 2.44) => P(-0.8 <= 2.44) = 0.9926564 - 0.2118554 = 0.780801
(please check interpretation of question d)
The probabilities of the standard normal variable are 0.1313, 0.009386, 0.4098773, and 0.780801.
What is a z-score?The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The probability of the following standard normal variable will be given by the z-score table.
a. P(z > 1.12) = 1 - P(z = 1.12) = 1 - 0.8686 = 0.1313
b. P(z ≤ -2.35) = P(z < 2.35) = 0.009386
c. P(0 ≤ z ≤ 1.34) = 0.9098773 - 0.5 = 0.4098773
d. P(-0.8 ≤ z s 2.44) = 0.9926564 - 0.2118554 = 0.780801
More about the z-score link is given below.
https://brainly.com/question/13299273
What's Is m
32
58
74
148
Answers
Answer:
x=74
Step-by-step explanation:
The angle H = x
We know angle M also is x because the sides are the same length
The sum of the angles of a triangle add to 180
x+x+32 = 180
Combine like terms
2x+32 =180
Subtract 32 from each side
2x = 180-32
2x =148
Divide by 2
2x/2 =148/2
x=74
The point (3,-7) lies on a circle and the center of the circle is at (-2,-7). What is the equation of this circle
Answers
Step-by-step explanation:
the answer is in the above image
Pls answer both Pls pls
Answers
Answer:
bjkfkvdvdejij
Step-by-step explanation:
22333444 ijdcijsivjdivdvndk snciscicicnlvjavjadvj
Help mark complete the pairs of expressions
Answers
if u do the equation on the calculator for the equation C,u will get the B
140 divided by 8960 please I need to know.
Answers
The value will be 64 when the number 8960 is divided by 140.
What is division?A procedure of dividing anything into equal halves is called division. It is one of the four fundamental operations in math. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given numbers are 8960 and 140. To calculate the quotient divide the number 8960 by 140.
The given number can be divided as below:-
140 ) 8960 ( 64
-840
___________
560
-560
___________
000
Therefore, the value will be 64 when the number 8960 is divided by 140.
To know more about division follow
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What is the solution to the system of equations graphed below? Pls Quick
Answers
hope that helps
what is the value of w to the nearest degree
Answers
ute of Change
What is the vertical change from Point A to Point B?
What is the horizontal change from Point A to Point B?
What is the rate of change shown on the graph? Give
the answer as a decimal rounded to the nearest tenth,
if necessary
Answers
Answer:
1
2
0.5
Step-by-step explanation:
A petrol can is a rectangular prism with base measurements 15 cm by 30 cm. If the can has capacity 18 liters, find its height.
Answers
Answer:
40
Step-by-step explanation:
The first step is to calculate the base area of the prism
= 15×30
= 450
The volume is then calculated as follows
= 450×h
= 450h
The capacity is 18 liters
= 18×1000
= 18,000
Therefore the height of the rectangular prism can be calculated as follows
450h= 18,000
h= 18,000/450
= 40
Hence the height is 40 cm
Write an equation in slope-intercept form for the line with slope 5 and y-intercept -2.
Answers
Answer:
y = 5x - 2
Step-by-step explanation:
Please help me the picture is above I’ll mark as brainliest. I really need the answer
Answers
According to exponent rules, when we multiply two power with the same base we _______ the exponents. Example: c^6⋅ c^4
Answers
Answer:
Step-by-step explanation:
According to exponent rules, when we multiply two power with the same base we ADD the exponents.
[tex]c^{6}*c^{4} = c^{6+4} = c^{10}[/tex]
The point (1,−1) satisfies the inequality 40x−22y≤50.
Answers
Không thảo mãn vì
44.1-22.(-1)=66
No, the point (1,-1) does not the satisfy the inequality 40x-22y<=50.
What is an inequality?
It is a type of equation in which greater than less than or equal to are used instead of only equal to.
How to solve an inequality?
To check whether whether a point satisfies an inequality or not we need to just put it in the inequality. So,
40x-22y<=50
40(1)-22(-1)=40+22=62
62 is not less than and not equal to 50. So it does not satisfies the inequality.
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Can someone check tell me why 1) is correct and why 2) is incorrect?!
Willing to give brainliest
Answers
Answer:
1) yes
2) no
Step-by-step explanation:
1)
[tex]\frac{1}{2} *\frac{2}{2}=\frac{2}{4}[/tex]
This is correct because 1 time 2 equals 2 and 2 times 2 equals 4.
2)
[tex]\frac{1}{2} * \frac{?}{?}= \frac{4}{6}[/tex]
[tex]\frac{1}{2} *\frac{4}{3} =\frac{4}{6}[/tex]
This is incorrect because the numerator multiplied is different from the denominator multiplied.
-------------------------------
[tex]\frac{1}{2}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{4}{8}[/tex] = [tex]\frac{5}{10}[/tex] = [tex]\frac{6}{12}[/tex] ...
Sorry I didn't know how to explain that much but I hope you understand.
9/10 divided by 3/5 in simplest form
Answers
Answer:
3/2
Explanation:
To divide by a fraction multiply by the reciprocal of that fraction
9/10×5/3
reduce the numbers with greatest common factor 3
3/10×5
reduce the numbers with the greatest common factor of 5
3/2 is your answer
The fraction 9/10 divided by 3/5, in simplest form, is 3/2.
To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 3/5 is 5/3.
So, we have:
(9/10) ÷ (3/5) = (9/10) x (5/3)
Next, we multiply the numerators and denominators:
= (9 x 5) / (10 x 3)
= 45/30
To simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 15:
= (45/15) / (30/15)
= 3/2
Therefore, 9/10 divided by 3/5, in simplest form, is 3/2.
Learn more about Fraction here:
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no links please i cant seem to find the answer for this qn
Answers
Answer:
(a) is 15
(b) is 30
75 divide by 15 times 90 divide by 15 is 30
Answer:
Step-by-step explanation:
Highest common factor of 75 and 90 will be the largest possible length of the square.
75 = 5 * 5 * 3
90 = 3 * 3 * 2 * 5
GCF = 5 * 3 = 15
Length of the side of square = 15 cm
b) Number of squares = Area of sheet ÷ Area of square
[tex]= \frac{75*90}{15*15}\\\\= 5 * 6\\\\= 30[/tex]
Total number of square = 30
Find the slope of each side of this quadrilateral and use that information to explain why it is a rectangle
8
BI
Your answer might look like this (you can 'copy-paste' the sentences below and fill in the blanks)
The slope of the side BA is The slope of the side BC is_-
The slope of the side BA is__ The slope of the side AD is_
The slope of the side CD is
The slope of the side AD is_
The slope of the side CD is
The slope of the side BC is
Finding the slopes tell me that this quadrilateral is a rectangle because_
Answers
Step-by-step explanation:
the answer is in the above image
Math help please show work I will mark Brainlist if correct
Answers
Answer:
Step-by-step explanation:
(1).
(a). 1 m ≈ 3.28 ft.
128 m ≈ 419.84 ft.
(b). 1 yd. ≈ 0.0009144 km
3910 yd. ≈ 3.58 km
(2). 1 m ≈ 0.0006214 mi.
10 000 m ≈ 6.2 mi.
Find the distance between the pair of points given on the graph.
Answers
Answer:
√74
Step-by-step explanation:
49 + 25
if brainly deletes this answer, i swear this community is going down in the dumps
Answer:
[tex]\sqrt{74}[/tex] = 8.6
Step-by-step explanation:
use distance formula
points are (4,2) and (-3,-3)
d= [tex]\sqrt{(x_{2}-x_{1) ^{2} + (y_{2} -y_{1} )^{2} }[/tex]
substitute points into formula
Navin gave his brother 1/5 of his money and her sister 5/8 of the remainder. Navin remained with $12.00 (a) Calculate how much money he had at first.
Answers
Answer:
$40
Step-by-step explanation:
Fraction Navin gave his brother = 1/5
Remainder = 1 - 1/5
5/5 - 1/5 = 4/5
Fraction Navin gave his sister = 4/5 x 5/8 = 1/2
total amount Navin gave his siblings :
[tex]\frac{1}{5} + \frac{1}{2}[/tex]
[tex]\frac{2 + 5}{10}[/tex] = [tex]\frac{7}{10}[/tex]
Fraction that remains = 1 - 7/10
10/10 - 7/10 = 3/10
Let a = amount Navin has initially
3/10 x a = 12
a = (12 x 10) / 2 = $40
what is the total cost for an item that costs $140.00 and has a sales tax rate of 7.5%
Answers
Answer:
$150.5
Step-by-step explanation:
CP of an item = $140
sales tax rate = 7.5%
sales tax amount = sales tax rate of CP
=7.5% of CP
= 7.5/100 * $140
=$1050/100
=$10.5
total cost with tax = CP + tax rate
=$140 + $10.5
=$150.5
solve it : -
[tex] \sqrt{18 \times 2} [/tex]
________
Answers
Answer:
6
Step-by-step explanation:
sqrt(36)
sqrt(6^2)
6
Answer:
6
Step-by-step explanation:
18 * 2 = 64
√64 = 6
A school bus is transporting athletes home from an athletics meeting. Of these athletes, 15% took part in hurdles, 20% took part in the long jump event, 35% took part in the relay races, 30% ran the 100m sprint and 25% took part in the high jump event.
Explain how this is possible.
Answers
Because some of the athletes participated in more than one event.
Which sequence is arithmetic? A- 2,6,18,54... B- 3,6,12,24... C- 11,14,17,20... D- 7,11,13,18
Answers
I think B. 3,6,12,24 is the answer
Answer:
C
Step-by-step explanation:
the pattern is add 3
11 + 3 = 14
14 + 3 = 17
17 + 3 = 20
The angle of elevation to a nearby tree from a point on the ground is measured to be 61 ∘ ∘ . How tall is the tree if the point on the ground is 59 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.
Answers
Answer:
106.44 ft
Step-by-step explanation:
tan = opp/adj
tan61 = opp/59
59*tan61 = opp
opp = 106.438817561014012
Rounded
106.44 ft
What is the Order of Magnitude of the number of pennies equivalent to a quarter?
Answers
Answer:
It is mainly used while doing scientific notation. If two numbers differ by one order of magnitude, one is about ten times larger than the other. If they differ by two orders of magnitude, they differ by a factor of about 100.A quarter is 0.25 dollars so the ratio between 1 dollar and a quarter is 1/0.25(it means the dollar and the quarter which is 0.25 dollars) and that equals =4
Determine where the PHD Mathematicians live.
The Mathematicians who live within the enclosure made by
the parabola
y = x2 +2x-3
and the line
y = -x + 1
have all earned their PHD in Mathematics. The following mathematicians live at the following coordinates:
Annie Easley:
Benjamin Banneker:
Fan Chung
Joan Clarke
A (-3,5)
B (6, 5)
C (5,5)
D(-1,-3)
Sophie Germain
Elbert Frank Fox:
Emmy Noether
Jama Musse Jama:
E (3,6) David Blackwell:
F (-2,-2) Mary Somerville:
G (-1,-4) Grace Hopper:
H(-6,8) Nalini Joshi
I (-1, -1)
J (3,-2)
K(-1,-2)
L (0, -1)
a) Plot the points given above on the grid. *Label each point with the given letter
b) Graph the line
y = -x + 1
Slope=__: y-intercept=
c) Factor and then find the x-intercepts.
y=x2+2x-3
Answers
Answer:
the answer to A,B,C
Step-by-step explanation:
all the points are on the graph
all answers
b) slope -1
intercept 1
c)(x+3)(x-1)
intercepts (-3,0),(1,0)
vertex (-1,-4)
Help please!
Brainliest + 20 points
Answers
Answer:
im not sure but pls gimme brainlyist bc im a dum dum
Step-by-step explanation:
