Using trigonometric identity, the value of cos (A + B) in the simplest form is 31 / 481.
How to use trigonometric identity?Cos(A + B) = Cos A Cos B - Sin A Sin B.
Using trigonometric ratios,
sin B = opposite / hypotenuse
Cos A = adjacent / hypotenuse
cos A = 5 / 13
sin B = 12/37
Using Pythagoras theorem,
13² - 5² = b²
b = √144
b = 12
37² - 12² = a²
a = √ 1225
a = 35
Therefore,
Cos(A + B) = Cos A Cos B - Sin A Sin B.
cos A = 5 / 13
sin A = 12 / 13
sin B = 12 / 37
cos B = 35 / 37
Hence,
Cos(A + B) = 5 / 13 × 35 / 37 - 12 / 13 × 12 / 37
Cos(A + B) = 175 / 481 - 144 / 481
Cos(A + B) = 31 / 481
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tia is swimming at a constant rate in a lake
Answer:
Step-by-step explanation:
If you wanted to figure out how long it would take her to get there it would be the distance she swims divided by her speed.
if you wanted to figure out how much her speed is, it would be the distance she swims divided by her speed.
If you wanted to figure out how long the distance is, you would multiply her speed and how long it took to get their.
I WILL MARK BRAINLIEST IF CORRECT! Pls also give an explanation!
The sides of a square are 4 units long. One vertex of the square is located at (-1,1) on the standard (x,y) coordinate plane. Which of the following points could also be a vertex of the square?
a. (-3,3)
b. (-5,-3)
c. (3,3)
d. (-5,3)
e. (4,5)
Answer:
There is no solution (since none has side length of 4 units)
Step-by-step explanation:
If V (-1,1) is one of vertex of a square, then the next vertex to V distance must be the known value of 4
VA: V to (-3,3) = √(-1 - -3)² + (1 - 3)² = √8 = 2.8
VB: to (-5,-3) = √(-1 - -5)² + (1 - -3)² = √32 = 5.7
VC: o (3,3) = √(-1 -3)² + (1 - 3)² = √20 = 4.47
VD: to (-5,3) = √(-1 - -5)² + (1 - 3)² = √20 = 4.47
VE: to (4,5) = √(-1 - 4)² + (1 - 5)² = √41 = 6.4
solve : -2 1/3-(-5) = 0
Answer:
2 2/3
Step-by-step explanation:
Answer:
2 2/3
Step by Step
can I get some help ???
Answer is D. 288 . i am glad to help
Please help me need ASAPp
25 students in class A did a science exam.
30 students in class B did the same science exam.
The mean mark for the 25 students in class A is 67.8
The mean mark for all the 55 students is 72.0
Work out the mean mark for the students in class B.
Answer:
class B
Step-by-step explanation:
4. A rectangular field measures, 616m by 456m. Fencing
placed along its sides at equal distances. What
will be the distance between the posts if they are placedos
for apart as possible? How many posts are required?
Answer:
The number of posts required to fence the field are;
136 posts
Step-by-step explanation:
The measure of the rectangular field is given as follows;
The length of the rectangular field = 616 m
The width of the rectangular field = 456 m
Let 'x' represent the 'furthest distance possible between the posts
There will be one post at each of the four corners of the field
Let 'c' represent the number of posts at the four corners of the field
Therefore, the number of posts at the corner of the field, c = 4
Therefore, 'x' is highest common factor of 616 and 456
The prime factorization of 616 = 2³ × 7¹ × 11¹
The prime factorization of 456 = 2³ × 9 × 19
Therefore, the highest common factor of 616 and 456 = 2³ = 8
The distance between posts = 8 m
Let 'w' represent the number of posts on the 456 m side of the field less the posts at the corner corner of the field and let 'l' represent the number of posts on the 616 m side of the field less the posts at the corner corner of the field, we have;
The number of posts on the 456 m side less the corner post, w = 456/8 - 1 = 57 - 1 = 56
The number of posts on the 616 m side less the corner post, l = 616/8 - 1 = 77 - 1 = 76
The total number of posts required to fence the field, T = w + l + c
∴ T = 56 + 76 + 4 = 136
The total number of posts required to fence the field, T = 136 posts
When x = 6 and y = 3, which of the expressions below will be greater than 100? Select all
that apply.
A) 6xy
B) 5(4x + 3y)
C) 3x2 – 2y
D)2x3/
Y + 5
f(x) = 3x - 1; Find x = 3
1. Caleb has a bike rental agency. He has 26 vehicles available, 19 are ack bikes. What is the relative frequency probability that a randomly selected vehicle will be a black bike?
Answer:
Probability of 7%
Step-by-step explanation:
3(4x + 2) +2(x-1) please help me with this equation
Answer:
14x + 4
Step-by-step explanation:
3(4x+2) + 2(x-1)
Distribute by multiplying into the bracket
=12x + 6 + 2x - 2
Group like terms by adding and subtracting
= 14x + 4
Answer:
1) Multiply and expand the brackets:
12x + 6 + 2x - 2
2) Combine like terms (combine terms that have an x together, and those that don't together.)
14x + 4
If the question wanted you to simplify the expression, then 14x + 4 is your answer. However, to solve for x, you could equate the expression to 0, but I'm not too sure of this part.
14x + 4 = 0
14x = - 4
x = - 4/14
x = - 2/7
Joe wants to buy a $180 number that's on is on sale the snowboard is 30% off what is the sale price of the snowboard (show work)
Answer:
Step-by-step explanation:
Assuming that the Skateboard is $180, and you are asking for the price when it is 30% off.
180 * .70 = $126
Another way of solving the question is finding 10 % of 180, which is 18. And you are looking for 30% less, so 18 * 3 = 54, which is 30% of 180.
180 - 54 = 126
A salesperson at a jewelry store earns a 4% commission each week. Last week, Jarrod sold $640 worth of jewelry. How much did he make in commission? How much did the jewelry store make from his sales?
please help!
Answer: 19.2
Step-by-step explanation:
Plz give brainlest
Answer:$51.20 commission
Step-by-step explanation:
HELP ASAP 10 POINTSSS
Answer:
Complementary angles, adjacent angles
Step-by-step explanation:
Which relationships describe angles 1 and 2?
Options: Complementary angles, vertical angles, supplementary angles, adjacent angles
Angles 1 and 2 are opposite to the 90° angle. So, the angles' relationship to that angles is a vertical angle, meaning that the two add up to 90°.
Complementary angles add up to 90°, so this option is correct.
Vertical angles are the pairs of opposite angles formed by two intersecting lines. Because the two angles do not follow this definition, this option is incorrect.
Supplementary angles add up to 180°. However, we know that the two add up to 90°, so this option is incorrect.
Adjacent angles are angles that are next to each other, so this option is correct.
I hope this helps! Feel free to ask any questions!
A town has a population of 18,000 and grows at 2% every year. What will be the population after 12 years, to the nearest whole number?
Answer:
22,828
Step-by-step explanation:
A=18000(1+0.02)^12
Determine whether y=2x^3 represents an exponential function.
Answer:
This is not an exponential function.
Step-by-step explanation:
x would have to be the exponent for it to be an exponential function.
HELPPPPPPPP PLEASEEEEEEE!!!!!!
Answer:
A. 40°
Step-by-step explanation:
As we can see it is an isosceles triangle because two sides are equal. so Base angles of an isosceles triangle are equal. Then Now.,
70° + 70° + <X = 180° {Being sum of angles of triangle }
140° + < X = 180°
< X = 180° - 140°
< X = 40°
Hope it will help :)❤
WILL GIVE BRAINLIEST! NEED ANSWER FAST!
Anthropologists approximate the height of a primate by the size of its humerus (the bone from the elbow to the shoulder) using the equation
H = 1.2L + 27.8,
where L is the length of the humerus and H is the height, in inches, of the primate.
An anthropologist estimates the height of a primate to be 60 in. What is the approximate length of the humerus of this primate? Round to the nearest tenth of an inch.
in
Answer:
26.83
Step-by-step explanation:
H=1.2L + 27.8
60=1.2x+27.8
minus 27.8 from both sides
32.2=1.2x
divide both sides by 1.2
x=26.83
Help mehhhh, Ill mark brainliest TnT
Answer:
(-8,-7)
Step-by-step explanation:
i used C to answer. you go backwards 8(-8), and then I go down 7(-7)
3 in.
3 in.
4 in.
6 in.
7 in.
11 in.
What is area of the shaded region in the figure shown?
Answer:
9 + 8 + 12 = 29
Step-by-step explanation:
How many square feet of clear grass will be needed for the window? (Please Provided Explanation of Answer)
Answer:
40 sq ft
Step-by-step explanation:
A= bh
A= (4)(10)
A= 40
Find the missing side length. Write your answer in simplified radical form if necessary.
X
6
4
Answer:
[tex]2\sqrt{13}[/tex]
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]
[tex]c^{2} = 4^{2} + 6^{2}[/tex]
[tex]c^{2} = 16 + 36[/tex]
[tex]c^{2} = 52[/tex]
[tex]\sqrt{c^{2} } = \sqrt{52}[/tex]
[tex]\sqrt{52} = 2\sqrt{13}[/tex]
what is 2.5 as a mixed number
Answer:
It is 2 1/2
Step-by-step explanation:
Hope this helps :)
Help if correct ill mark brainlist!
Answer:
B
Step-by-step explanation:
n - 4 = 4.5 - 4 = 0.5
8(n - 4) = 8 *(0.5 ) = 4
6 *n = 6 * 4.5 = 27
8(n - 4) + 6n
8(0.5) + 6*4.5
4 + 27
31
Answer:
B.) 31
Step-by-step explanation:
Since the is [tex]8(n-4),[/tex] we substitute it with [tex]8x4.5-8x4.[/tex] [tex]8x4.5=36,[/tex] [tex]8x4=32.[/tex]
Now, it is [tex]36-32+6n[/tex].
[tex]6x4.5=27[/tex].
[tex]Now, 36-32+27.[/tex]
Remember B.E.M.D.A.S.
BRACKETS
EXPONENTS
MULTIPLICATION
DIVISION
ADDITION
SUBTRACTION.
Brackets first. 36-32=4, 4+27=31.
Use the distributive property to find an expression that is equivalent to 2(x + 7) - (3x + 1)
write the standered equation of the circle (0,7)
Answer:
C
Step-by-step explanation:
HELPPPPPPPPJSSIJWJSJDHSFASTTTTT
Answer:
The first 0ne
Step-by-step explanation:
Which phrase describes the algebraic expression 5t- 2?
A.) the product of 5 and 2 more than a number
B.) the quotient of 5 and 2
C.)5 times the difference of a number and 2
D.) 2 less than 5 times a number
Answer:
it is option D
2 less than 5 times a number
hope it helps
I need help ASAP please!!!!
Step-by-step explanation:
Contents of this laser is 0.744 and the mass of the earth that is 3
30 POINTS
Simplify.
−5x4(−3x2+4x−2)
Answer:
15 x ^6 − 20 x ^5 + 10 x ^4
Step-by-step explanation:
Answer:
15x^6 - 20x^5 + 10x^4
Step-by-step explanation:
−5x^4(−3x^2+4x−2)
15x^6 - 20x^5 + 10x^4