Answers
Step-by-step explanation:
(i)
Using cos(a - b) = cos a cos b + sin a sin b
[tex]\frac{4}{5}[/tex] = cos a cos b + [tex]\frac{1}{5}[/tex]
cos a cos b = [tex]\frac{4}{5} -\frac{1}{5} = \frac{3}{5}[/tex]
(ii)
Using cos(a + b) = cos a cos b - sin a sin b
cos(a + b) = [tex]\frac{3}{5}-\frac{1}{5}=\frac{2}{5}[/tex]
(iii)
Using cot a = [tex]\frac{cos a}{sin a}[/tex]
[tex]=(\frac{cos A}{sin A} )(\frac{cos B}{sin B} )[/tex]
[tex]=\frac{cos A cos B}{sin A sin B}[/tex]
[tex]=\frac{\frac{3}{5} }{\frac{1}{5} }[/tex] [tex]=\frac{3}{5}[/tex] × [tex]5[/tex]
= 3
please give me a brainliest answer
Related Questions
what is the degree of: 5x+7x-3
Answers
Answer:
a degree is the highest exponent
so all of the have an exponent of 1 which means all of the have the same exponent
all the numbers are degrees of this trinomial I bealive
Help me do this, will award brainly to correct answer. Will give big points if right only have 1 shot.
Answers
Consider the function F(x)=5x-1. Find the value of x for which the value of the function is equal to 89
Answers
Answer:
Sorry if im late
Step-by-step explanation:
The correct statements are:
The value of f(-10) = 82
The graph of the function is a parabola
The graph contains the point (20,-8)
Answer:
x=18
Step-by-step explanation:
89=5x-1
89+1=5x
90=5x
18=x
pls helpppppppppppppppppp meeeeeee marking BRAINLIEST!
Answers
i need help ahhahahhahahwvwvvee
Answers
Answer:
C.
Step-by-step explanation:
Answer: C
Step-by-step explanation:
Say we had 2 fractions:
2/4 & 3/6
and we were trying to find out if they were proportional.
An easy way to do this is to divide the numerator of the second fraction by the numerator of the first fraction, then multiply what you get by the denominator of the first fraction. If your final number equals the denominator of the second fraction, then the two fractions are proportional.
Let me demonstrate:
2/4 and 3/6
1. 3 ÷ 2 = 1.5
2. 1.5 × 4 = 6
3. 6 = 6
Therefore, these fractions are proportional.
Let's try another problem:
4/5 and 10/19
1. 10 ÷ 4 = 2.5
2. 2.5 × 5 = 12.5
3. 12.5 ≠ 19
Therefore, these fractions are not proportional.
Hope this helps!
which one? A? B? C? or D? help me pleaseee
Answers
Answer:
I'm pretty sure it's C I may be wrong though
Step-by-step explanation:
linear equations assignment:
Paula has $10 and earns 50 cents for every lap she runs for her schools fundraiser. Jackie has $15 and earns 25 cents for every lap she runs. After how many laps will Paula have more money than Jackie?
Answers
Answer:
20 laps
Step-by-step explanation:
2 times = +1 dollars for Paula, +0.50 dollars for Jacki
Try multiplying it the least amount of times to Paula can have more and so 20 times and Paula will have 20 dollar sand Jacki will have 19.75, therefore she needs to do 20 laps.
divide -3 1/3 by 1 1/5
Answers
Decimal form: -0.6
Quadrilaterals A and B are similar. Find the values of the sides marked x and y : The diagram is not drawn to scale.
Answers
Answer:
Y=7.5cm
Step-by-step explanation:
Y=12.5cm-10cm=2.5cm
=5cm+2.5cm=7.5cm
find the product of
Answers
=1/5
Please mark brainliest
whats the error? I SOLVED AND CHECKED. Is it correct? Im confused… pls help il will give brainliest
Answers
Answer:
32 in represents perimeter u added length times width once which would only give half of the rectangle
Step-by-step explanation:
2(3w+8+w) =32
6w+16+2w =32
8w+16 = 32
8w=16
w=2
Find the effective rate for a payday loan which charges $53.29 for a two week loan of $430.
Answers
Sorry for the wait.....
Hope this helps and Happy Halloween!!!!
The effective rate for a payday loan is 3.21%.
What is Interest rate?The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money.
Given:
Amount Financial = 430
Financial Charge= 53.29
Term of loan= 14 days
So, the effective rate will be
= (53.29/430 ) x 365
= 45.2345
and, =45.2345/14
= 3.21
Hence, the effective rate is 3.21%.
Learn more about interest here:
https://brainly.com/question/13324776
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Under his cell phone plan, Eli pays a flat cost of $63 per month and $4 per gigabyte. He wants to keep his bill under $75 per month. Use the drop-down menu below to write an inequality representing g, the number of gigabytes he can use while staying within his budget.
Answers
Answer:
G=3 gigibytes
Step-by-step explanation:
$75-$63=$12
12 divided by 4 is 3, so g is 3
the net force on a
rock with a mass of 20 kg is
19.6 N. What is the accelera-
tion of the rock?
Answers
19.6/20=aw
F=ma
Rectangle PROM has a perimeter of 42 inches, and OR = 8 inches. What is the area of the rectangle PROM?
Answers
Answer:
104 in²
Step-by-step explanation:
If OR = 8 then 8 x 2 = 16
PM= (42-16)/2=13
Therefore area = 8 x 13 = 104 in²
To check the perimeter is right:
2(8+13) = 42
A sample of gold has a mass of 579 g. The volume of the sample is 30 cm3. What is the density of the gold sample?
Answers
The density of the gold sample is 19.3g/cm³
Let the mass of the gold sample be represented by m
m = 579 g
Let the volume of the gold sample be represented by V
V = 30 cm³
Let the density of the gold sample be represented by ρ
The formula for the density is:
[tex]Density = \frac{Mass}{Volume}[/tex]
[tex]\rho = \frac{m}{V} \\\rho = \frac{579}{30} \\\rho = 19.3 g/cm^3[/tex]
The density of the gold sample is 19.3g/cm³
Learn more here: https://brainly.com/question/17780219
Victoria is preheating her oven before using it to bake. The initial temperature of the oven is 65° and the temperature will increase at a rate of 15° per minute after being turned on. What is the temperature of the oven 8 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?
Answers
Answer:
answer is on my head
Step-by-step explanation:
I need points
Tan^2 0+Tan^2 30+Tan^2 60+Sin^2 0
Answers
Answer:
2.996519411885697
Step-by-step explanation:
[tex] \tan(20) + \tan(230) + \tan(260) + \sin(20) = 2.996519411885697[/tex]
mark me brainliest
PLEASE PLEASE HELP ILL MARK BRAINLIEST!!!!
Answers
Answer:
done this before
Step-by-step explanation:
cant see full picture but of what i know of is he spent 35 dollars on apples for his shop...?
Answer: 3x+5y=$33
X+y=9
Step-by-step explanation: X= number of pounds of apples y= number of ponds of oranges.
i need all of the answers THANK UU
Answers
1. C because 3×3=9
9×3=27
27×3=81.....
2. Answer is C explaination in picture number 2
3. D explaination in picture number 1
PLEASE ANSWER RIGHT NOW BRAINLIEST POINTS ETC
Answers
Answer:
-17
Step-by-step explanation:
Distribute:
7w+140+w=4
Add like terms
8w+140=4
Move constant to the right
8w=4-140
Add like terms
8w=-136
Divide both sides by 8
w=-17
.Triangle ABC is right angled at B, AB= 8 cm, BC = 15 cm, find AC
Answers
Answer:
17
Step-by-step explanation:
-2x + 3y - 4 =0
Find the x-intercept and y-intercept of the line
Answers
Answer:
Step-by-step explanation:
To find the x-intercept, set y = 0 and solve for x.
-2x + 3y - 4 = 0
-2x + 3(0) - 4 = 0
-2x + 0 - 4 = 0
-2x - 4 = 0
-2x = 4
x = 4/-2
x = -2 The x-intercept is -2
To find the y-intercept, set x = 0 and solve for y.
-2x + 3y - 4 = 0
-2(0) + 3y - 4 = 0
0 + 3y - 4 = 0
3y - 4 = 0
3y = 4
y = 4/3 The y-intercept is 4/3
Factorize:
2ax-6ay+bx-3by
Answers
Answer:
2ax − 6ay + bx − 3
Step-by-step explanation:
The expression is not factorable with rational numbers
Answer:
Step-by-step explanation:
2a(x - 3y) + b(x - 3y)
Bob spent x amount on food. Bill spent x+20, and John spent 3x-2. If bill and John spent the same amount of money, how much dud bob spend?
Answers
[tex]\\ \sf\longmapsto x+20=3x-2[/tex]
[tex]\\ \sf\longmapsto 3x-x=20+2[/tex]
[tex]\\ \sf\longmapsto 2x=20[/tex]
[tex]\\ \sf\longmapsto x=10[/tex]
Bob spent 10$
Skate World offers birthday parties for a fee of $130 plus $3 per person. If you can spend no more than $190 on your party, what is the maximum number of people who can attend?
A) 20
B) 12
C) 14
D) 15
Answers
Answer:
a is the answer
Step-by-step explanation:
here
Autumn spent a third of her weekly allowance on a shirt she liked. In order to earn more money her parents allowed her to mow the grass for $20. What is her weekly allowance if she ended with $31
Answers
Your welcome have a good day
Anna challenges Sarah to a game where Sarah flips a fair coin and then randomly chooses a card from a small deck of cards that includes only 111 jack, 111 queen, 111 king, and 111 ace.The only way Sarah can win is by flipping heads and then choosing either the jack or the queen.If XXX is a random variable that represents Sarah's outcome, drag the bars to graph the probability distribution for all possible values of XXX.
Answers
The probability distribution for all possible values of X are given in the discrete probability table ;
X : ____ winning ____ not winning P(X) : ____ 0.25 ________ 0.75Fair coin = {H, T}
card = {J, Q, K, A}
Sample space :
__ H ___ TJ | HJ __ TJQ| HQ __TQK| HK __ TKA| HA __ TATotal possible outcomes = sample space = 8 Winning selection = {HJ, HQ}Probability of winning ; P(Winning) = 2/8 = 1/4 = 0.25
Probability of not winning ;
1 - P(wininng) = 1 - 1/4 = 3/4 = 0.75
X : ____ winning ____ not winning
P(X) : ____ 0.25 ________ 0.75
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Algerbra, pls answer fasttttttt
Answers
Answer:
Step-by-step explanation:
Use the diagram to find the length
Answers
Answer:
25 is the answer.....
25 is the answer
There are three lines along the length that indicate that the lines are the same length.
Out of all the choices, 15 is the only number that is divisible by 3. So the total length of the shape would be 15
