Answer:
See Explanation
Step-by-step explanation:
[tex] \frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} = 4\cos2A \\ \\ LHS = \frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} \\ \\ = \frac{ \sin5A \:\cos A - \cos5A \: \sin A}{\sin A \:\cos A } \\ \\ = \frac{ \sin(5A -A )}{\sin A \:\cos A} \\ \\ = \frac{ \sin 4A}{\sin A \:\cos A} \\ \\ = \frac{ 2\sin 2A \: \cos 2A}{\sin A \:\cos A} \\ \\ = \frac{ 2 \times 2\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A} \\ \\ = \frac{ 4\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A} \\ \\ =4\cos 2A \\ \\ = RHS \\ \\ thus \\ \\ \frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} = 4\cos2A \\ \\ hence \: proved[/tex]
Find the slope:
A.3/5
B.5/3
C-3/5
D.-5/3
Answer:
The slope of the line is [tex]\frac{-5}{3}[/tex] ⇒ D.
Step-by-step explanation:
The rule of the slope of a line is
m = [tex]\frac{y2-y1}{x2-x1}[/tex] (x1, y1) and (x2, y2) are two points lie on the lineUse the given figure to find two points on the line
→ From the given figure
∵ The line passes through points (0, 2) and (3, -3)
∴ x1 = 0 and y1 = 2
∴ x2 = 3 and y2 = -3
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{-3-2}{3-0}=\frac{-5}{3}[/tex]
∴ m = [tex]\frac{-5}{3}[/tex]
∴ The slope of the line is [tex]\frac{-5}{3}[/tex]
I can define continuous data as:
Answer:
Continuous data are data which can take any values. Examples include time, height and weight. Because continuous data can take any value, there are an infinite number of possible outcomes.
what is the length of DE
Answer:
A. 10
Step-by-step explanation:
The two shapes are simmilar.
x =??? ASAPPP plssssssssssss
Answer:
85 becacuse 20×25 = 85 x=85
plz, help... ill give brainliest
Answer:
Step-by-step explanation: 15/2=7.5 19/25= 0.76 17 37/50 17.74
3.666 is not. 0.166 is your last answer
1. 15/2 = 7.5
2. 19/25 = 0.76
3. 17 37/50 = 17.74
4. 3.666
5. 0.166
how many pairs of numbers add up to 10
Answer:
1 Pair.
Step-by-step explanation:
If I am not mistaken the question you are asking is how many pairs of numbers have a sum of 10.
5 + 5 = 10
No other number can ADD up to 10.
1 Pair is your answer.
Determine an interest rate less than 15%, a period of investment greater than two years, and a regular payment that will result in the total amount of interest you earn being equal to the total amount of money you put in?for example, under what conditions will you have a future value of $1 000 000, having earned $500 000 interest?)
Answer:
It will take 5.29 years to double our money if we invest $500 at 14 percent interest.
Step-by-step explanation:
Let we invest $500 with the interest rate of 14% ,
Now we will find the time it is going to take to double the money
here, we use the formula of compound interest [tex]A= P( 1+\frac{r}{n}) ^{nt}[/tex]
Here, A = the amount yielded,
P = principal,
r = interest rate ,
n = number of times per year,
and t = time invested.
Now, put A= 1000 , P= 500 , R= 0.14 T= x and N= 1
[tex]1000=500(1+ 0.14)^x[/tex]
[tex]1000=500(1.14)^x[/tex]
[tex]2=1.14^x[/tex]
[tex]\log_{1.14} (2)=x[/tex]
[tex]x=5.29[/tex]
so , It will take 5.29 years to double our money if we invest $500 at 14 percent interest.
Hence , the answer is 5.29 years .
A multiple-choice test with 50 questions has five possible choices for each question. There are 4 points for each correct answer, -1 point for each incorrect answer, and 0 points for each unanswered question. What is the total score of a student with 35 correct answers, 10 incorrect answers and 5 unanswered questions?
Answer:
130 points
Step-by-step explanation:
Answer:
130 points
Step-by-step explanation:
Find the difference.
24 - 48
-100 points
Answer:
24-48=-24
Step-by-step explanation:
24-48-100
=- 24-100
= -124
Lol
how do make number lines
Answer:
Select the plain line in the Insert Shapes group. Place your cursor where you want a tick mark on your line, hold the "Shift" key, and drag to create a vertical mark. Holding the Shift key ensures a straight line.
Step-by-step explanation:
Write the following number in scientific notation: 0.0008228
PLEASE HELP QUICK
Answer:
0.0008228 to standard form =
8.228 x 10^-4
Terry's mother combines 1.5 liter bottles of juice with two 0.25 liter cans of sparkling water to make punch. what is the total amount of punch that Terry's mother make?
Answer:
1.75 liters
Step-by-step explanation:
You would add 1.5 and 0.25 together and that would be the total.
What is the reflection?
Answer:
E': (-3, 3)
F': (-1, 2)
G': (0,0)
H': (-2, 1)
Step-by-step explanation:
Answer:
song of mulan
Step-by-step explanation:
why my reflection show who I am insidee
multiply this. 5 • (-3)
6.25% of 1200 is what number
Answer:
75
Step-by-step explanation:
Answer:
Step-by-step explanation:
6.25/100*1200
=75
Evaluate -(2^-6)(2^3) apex
A.-1 over 8
B. -8
C.1 over 8
D.8
The evaluation of of the expression -(2⁻⁶)(2³) is - 1 / 8(-1 over 8)
How to evaluate an expression?The expression can be evaluated as follows:
-(2⁻⁶)(2³)
The expression can be evaluated using the law of indices,
[tex](x^{a} )^{b} = x^{ab}[/tex] and [tex](x^{-b} )=\frac{1}{x^{b} }[/tex]
Therefore,
-(2⁻⁶)(2³)
2⁻⁶ = 1 / 2⁶ = 1 / 64
2³ = 2 × 2 × 2 = 8
Hence,
-(1 / 64)(8) = - 8 / 64 = - 1 / 8
learn more on evaluation and expression here: https://brainly.com/question/25664356
#SPJ1
i don’t know how much she need to make
Answer:
4
Step-by-step explanation:
She can make 4. Have an amazing day
Solve for :
(x+20)
2
3x
Ox= 10
x= -14
x=-17
Math
Answer:
x=-14
Step-by-step explanation:
multiply and sqare it and divide both
What is the value of x?
Answer:
x = 8
Step-by-step explanation:
Δ RST is equiangular since all 3 sides are congruent, thus
Each angle in the triangle is 60° , then
7x + 4 = 60 ( subtract 4 from both sides )
7x = 56 ( divide both sides by 7 )
x = 8
Please help. It’s due tonight, will give brainlist
Elyse wants to buy a new softball glove that costs $45. She has $15 and plans to save 5 each week. How many weeks will it take her to save the money?
Answer:
6 weeks :)
Step-by-step explanation:
it will take her 6 weeks
45-15 is 30.
30/5 is 6
Answer:
It will take her 6 weeks.
Step-by-step explanation:
$45-$15=$30
$30 ÷ $5 = 6
Pls help! Will reward brainliest, thanks!
Which element has the greatest average atomic mass?
A. iodine
B. bromine
C. tellurium
D. krypton
Answer:
the answer is option letter c. tellurium
Find the value of x to the nearest tenth.
х
34°
48
Answer:
x ≈ 39.8
Step-by-step explanation:
cos∅ = adjacent / hypotenuse
Since we are given a right triangle, we can use trigonometry to help us solve for missing values:
cos34° = x/48
x = 48cos34°
x = 39.7938
x ≈ 39.8
FIRST ANSWER GETS BRAINLIEST
Answer:
4/15
Step-by-step explanation:
You would do it as follows
I-8/15I reduce the fraction by 2
I-4/25I the absolute fraction is always positive
So the solution is
4/25
Alternative forms are:
0.16 or (2/5)^2 (Just incase)
4/25 <-- answer (so you dont have to watcha ad :)
|-8/50|
8/50 | 0.16
4/25 | 0.16
all possible ^
there4 its 4/25
In a class full of men and women,2/9
of the class are women. What is the ratio of men to
women in its simplest form?
Answer:
the ratio of men to women is 7 to 2
Step-by-step explanation:
you have 9 people 7 are men and 2 are women
Answer: this is kinda already the simplest form unless you want to do 1/4.5
Step-by-step explanation:
Triangle ABC has the following angle measures; The measure of angle B is 38, the measure of angle C is 56, what is the angle measure for angle A?
Which set of population data is the least dispersed from its mean?
O 2, 3, 2,9
O 4, 0, 4,0
O 6, 2, 2, 2
O 9, 3, 5,3
Answer: (C)
6,2,2,2
Step-by-step explanation:
A mean is an arithmetic average of a set of observations. The set of population data that is the least dispersed from its mean is {6, 2, 2, 2}.
What is Mean?
A mean is an arithmetic average of a set of observations. it is given by the formula,
[tex]\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}[/tex]
To solve the problem we will find the mean of each population set and then add the difference between the mean and each data point.
A.)
[tex]Mean = \dfrac{2+3+2+9}{4} = \dfrac{16}{4} =4[/tex]
Dispersion of each point from the mean,
[tex]\rm |Mean - data\ point|\\|4-2|=2\\|4-3|=1\\|4-2|=2\\|4-9|=5[/tex]
Thus, the dispersion of the population from the means is 10 (2+1+2+5).
B.)
[tex]Mean = \dfrac{4+0+4+0}{4} = \dfrac{8}{4} =2[/tex]
Dispersion of each point from the mean,
[tex]\rm |Mean - data\ point|\\|2-4|=2\\|2-0|=2\\|2-4|=2\\|2-0|=2[/tex]
Thus, the dispersion of the population from the means is 8 (2+2+2+2).
C.)
[tex]Mean = \dfrac{6+2+2+2}{4} = \dfrac{12}{4} =3[/tex]
Dispersion of each point from the mean,
[tex]\rm |Mean - data\ point|\\|3-6|=3\\|3-2|=1\\|3-2|=1\\|3-2|=1[/tex]
Thus, the dispersion of the population from the means is 6 (3+1+1+1).
D.)
[tex]Mean = \dfrac{9+3+5+3}{4} = \dfrac{20}{4} =5[/tex]
Dispersion of each point from the mean,
[tex]\rm |Mean - data\ point|\\|5-9|=4\\|5-3|=2\\|5-5|=0\\|5-3|=2[/tex]
Thus, the dispersion of the population from the means is 8 (4+2+0+2).
Hence, the set of population data that is the least dispersed from its mean is {6, 2, 2, 2}.
Learn more about Mean:
https://brainly.com/question/16967035
Able has a younger sister and an older brother.
- Able’s age can be represented by x.
- Able’s sister is 4 years younger than him.
- Able’s older brother is twice as old as he is.
- The combined age of all three siblings is 32.
How old is Able’s younger sister?
9 years
13 years
5 years
3 years
Answer:
5 years
Step-by-step explanation:
1. if able's age is x, then his sister's is x-4, and his brother's is 2x
2. if these sum to 32, then we can formulate the equation x+(x-4)+2x=32
3. now solve for x, 4x-4=32, 4x=36, x=9
4. if able's sister is x-4 years old, she is 9-4, or 5 years old
Simplify each of the following expressions. –3(x + 3) + 4x
Answer:
-3(x+3) + 4x
simplifies to
x-9
Step-by-step explanation:
have a good day
Answer: -9
Step-by-step explanation:
−3(x+3)+4x
Distribute:
=(−3)(x)+(−3)(3)+4x
=−3x+−9+4x
Combine Like Terms:
=−3x+−9+4x
=(−3x+4x)+(−9)
=x+−9
Answer:
=x−9
Have a good day can u give me brainliest pls.
There are 136 animals at a pet store. 48 are cats. The rest are dogs. What fraction of the animals are dogs? Someone pls help :C
Answer
[tex]\frac{11}{17}[/tex]
Step-by-step explanation:
first, make an equation. here (d) represents the number of animals that are dogs.
136-48= d
d= 88
now we have [tex]\frac{88}{136}[/tex]
all you have to from here is simplify,
88/136= [tex]\frac{11}{17}[/tex]
Answer:
11/17
I checked on the RSM system it says it is correct
