Answer:
Below
Step-by-step explanation:
Dividing by prime numbers :
2 | 10500
2 | 5250
3 | 2625
5 | 875
5 | 175
5 | 35
7.
So 10500 = 2*2*3*5*5*5*7
To find the smallest positive cube we need to multiply by 2 ( to get 3 2's in the prime factors), another 2 3's and another 2 7's
That is P = 2*3*3*7*7 = 882.
The perfect cube is 2^3*3^3*5*3*7^3 = 9261000.
prove that: (sinθ/1+cosθ) + (1+cosθ/sinθ) = 2cosecθ
[tex] \: prove \: that: \frac{ sinθ}{1+cosθ}+ \frac{1+cosθ}{sinθ} = 2 \: cosec \: θ [/tex]
Consider LHS
(sinθ/1+cosθ) + (1+cosθ/sinθ) =
= [sinθ(sinθ)+(1+cosθ)+(1+cosθ)]/[(1+cosθ)(sinθ)]
= [sin²θ+(1+cosθ)²]/[(1+cosθ)sinθ]
= [sin²θ+1+cos²θ+2cosθ]/[(1+cosθ)sinθ]
[°.° (a+b)² = a²+2ab+b²]
Here, a = 1, b = cosθ
= [(sin²θ+cos²θ)+1+2cosθ]/[(1+cosθ)sinθ]
= [1+1+2cosθ]/[(1+cosθ)sinθ]
[°.° sin²θ+cos²θ = 1]
= [2+2cosθ]/[1+cosθ)sinθ]
= [2(1+cosθ)]/[(1+cosθ)sinθ]
= 2/(sinθ)
[°.° 2/sinθ = cosecθ]
= 2cosecθ = RHS.
Hence, Proved.
Read more:
Similar Questions
If cosθ =1/3 , then sinθ = _____.
https://brainly.com/question/5470328?referrer
Verify the identity. cotθ * sinθ * secθ = 1 Which of the following four statements establishes the identitiy? A. cotθ *sinθ *secθ = sinθ/cosθ * sinθ * 1/cosθ = ...
https://brainly.com/question/25682447?referrer
BrainlyCPT~
Brainly Team
the ratio of men to women at Wal-Mart was 3 to 5. If there were 350 women, How many men were in the store?
Answer:550
Step-by-step explanation:
Answer:
550
sjjeusuwjwhhsusjsisjisjwnqbisjd
AYUDAAA PORFAVOOOOOOR!!
Answer:
4
Step-by-step explanation:
Answer:
La respuesta seria 3 espero que esto ayude
Step-by-step explanation:
what is the slope of (16,1) and (17,7)
find the approximate measure of the missing length
Answer:
b= 20.8
Step-by-step explanation:
Pythagorean Theorem: a²+b²=c²
a= 12
b= ?
c= 24
Equation: 12²+b²=24²
12²= 144
24²= 576
New equation: 144+b²=576
Find b: 576-144=432
[tex]\sqrt432[/tex]= 20.7846097
Round to nearest tenths: 20.8
b= 20.8
Check answer:
144+432=576
Correct!
Two types of binocular depth cues are __________ and __________. A. Motion parallax. . . Pictorial depth cues B. Convergence. . . Retinal disparity C. Motion parallax. . . Retinal disparity D. Convergence. . . Pictorial depth cues Please select the best answer from the choices provided A B C D.
Answer:
D. Convergence hope it helps
!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
M=4 if not 1/4
Step-by-step explanation:
hope this helps sorry if it was incorrect have a great rest of the day :)❤
Find the value that makes the equation below true:
6r+7 = 13+7r
Determine the inverse of the function
GIVING BRAINLIEST!
A hot air balloon is tied to the end of a 60-m rope. When the balloon is at an altitude/vertical height of 50 m, what angle of elevation does the rope make with the ground? Round your final answer to the nearest tenth of a degree.
Answer:
83.333 degress
Also where i solved for side a is pointless i just realised :p
Step-by-step explanation:
okay Imma head into some trig stuff here so sorry.
the hypotenuse of the triangle would be 60m
the height is 50m
Using pythag theorem we can concur that a = 10.488
a = 10.488
b= 50m
c = 60m
now we just use sin (feta) = 50/60
sin(feta) = .8333
or 83.3 degress.
-Gage Millar, Algebra 1/2 tutor
Joyce buys a bus pass for the month of march for $32.55.How much does the bus pass cost per day?
Answer 1.085
dd
sa
d
sd
a
ds
d
The bus pass cost per day will be $1.05 per day.
What is the rate?The rate is the ratio of the amount of something to a certain unit.
For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
Parenthesis, Exponent, Multiplier, Division, Adding, and Subtraction is referred to as the PEMDAS rule. To answer the problem properly and accurately, this rule is applied.
Joyce buys a bus pass for the month of March for $32.55.
In March month, there are 31 days. Then the bus pass cost per day is given by dividing the cost of $32.55 by 31.
⇒ $32.55 / 31
⇒ $1.05 per day
The bus pass cost per day will be $1.05 per day.
More about the rate link is given below.
https://brainly.com/question/14731228
#SPJ2
Johnny has a bag full of marbles that he keeps in his desk. He has 35 red marbles and 25 green marbles. Find the ratio of red marbles to green marbles, and put it in its simplest form.
Answer:
7:5
Step-by-step explanation:
Ratio between red and green marbles is simply the number of red marbles to the number of green marbles.
---------------------
35:25
To simplify it, you divide both of them by 5 (which is the highest common factor) to get
--------------------
7:5
Find an equation of the line passing through the point (2, 7) with slope m= 6.
Answer:
y - 7 = 6(x - 2)
Step-by-step explanation:
1. Since we're given one point and the slope of a line, we can use the point slope form: [tex]y-y_1=m(x-x_1)[/tex]
m = slopey_1 = first y-coordinatex_1 = first x-coordinate2. (Plugging in values)
[tex]y-7=m(x-x_1)[/tex] [tex]y-7=6(x-x_1)[/tex] [tex]y-7=6(x-2)[/tex]Therefore, one equation of the line is y - 7 = 6(x - 2).
Which number is greater explain your reasoning .375 or 3/8? help!
Hey there!
“Which one of is greater 0.375 or 3/8?”
3/8
= 3 ÷ 8
= 0.375
.375 = 0.375
0.375 = 0.375
So, therefore NEITHER is greater because both numbers are EQUIVALENT to (EQUAL to) each other
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
⅜ = 0,375
3 ÷ 8 = 0,375
0,375 = 0,375
True.
Help HELP HELP HELP URGENT
Answer:
28
Step-by-step explanation:
Given the base and height, we can split the triangle into 2.
So now the height for our right triangle with still be 25 but the base will become half of what it used to be which is 12.
Using the Pythagorean Theorem:
A^2+B^2=H^2
a = side of right triangle
b = side of right triangle
c = hypotenuse
Plugin the values
25^2+12^2=H^2
625+144=H^2
769=H^2
27.73=H
Rounded to 28
Hope this helps :)
HELP I WILL GIVE BRAINLEST
sin(x) = 1/2 and the angles must be between 0 and 180.
We can take the arcsin(1/2) and we get 30 degrees, but that is only half of the answer.
There are two angles for which the y value on the unit circle outputs 1/2.
To find this other value which is in the second quadrant: 180 - 30 = 150.
The other angle is 150 and can be checked by solving sin(150) which outputs 1/2 so we know have the correct answer.
Smaller = 30 Larger = 150.
P.S make sure your calculator is in degree mode.
Rusty's hair grows at the rate of 1 inch per month.
4
How many months will it take Rusty's hair to grow 5 inch?
5
8
Explain your answer using words, and show your work using division of fractions.
Answer:=> 10 months
Given :
Step-by-step explanation:
Given :
1 / 4 inches = 1 month
Find :
5 / 8 inches = ? months
According to the question :
1 month = 1 / 4 inches
5 / 8 inches = ' x ' months
=> ( 5 / 8 ) / ( 1 / 4 ) = x
=> ( 5 / 8 ) × ( 4 / 1 ) = x
=> ( 5 × 2 ) / 1 = x
=> 10 / 1 = x
=> x = 10.
So, it takes 10 months.
Answer:
it would be 5 months for his hair to grow 5 inches.
Step-by-step explanation:
well, if his hair grows 1 inch per month, and it take 5 months for his hair to grow.
so multiple 1 times 5 and you get you answer
Express the following equation in standard form y=5x-3
Answer:
5x - y = 3
Step-by-step explanation:
Standard form of a linear equation is expressed as Ax + By = C
In order to express the given equation in this form, we need to isolate the constant. We can achieve this by subtracting 5x from both sides:
y = 5x - 3
y - 5x = -3
If possible, we want A to be positive, so we can multiply both sides by -1:
-1(y - 5x) = -1(-3)
-y + 5x = 3 or 5x - y = 3
The half-life of krypton-91 is 10 seconds. At time t = 0 a heavy canister contains 3 g of this radioactive gas. How much remains after one minute?
Half time of krypton 91 = 10s
this means, it reduces to half of the remaining in every 10s
So, In 10 sec , the mass remaining will be :
3/2 = 1.5
After 20 sec, the mass remaining will be :
0.75 g
After 30 sec, the mass remaining will be :
0.375
After 40 sec, the mass remaining will be :
0.1875 g
After 50 sec, the mass remaining will be :
0.09375 g
After 1 minute, the mass remaining will be:
0.046975 g
y=1/2x+4
y=-2x+9
elmantion or substutuion method
Answer:
(2;5)
Step-by-step explanation:
Elimination:
Let's first multiply the first by 2 to clear fractions and write them both in standard form:
[tex]\left\{ {x-2y=-8} \atop {2x+y=9}} \right. \\[/tex]
Eliminate x: Multiply the first by 2, then subtract the equations:
[tex]2I-II: 2x-4y-2x-y=-16-9\\-5y=-25 \rightarrow y= 5[/tex]
Eliminate y: Multiply the second by 2, then add equations:
[tex]I+2II: x-2y +4x+2y = -8+18\\5x=10 \rightarrow x=2[/tex]
Subtsitution
Solve the first for y (oh, what a coincidence, it's done already!) and replace the value in the second.
[tex]\frac12x +4 = -2x+9 \rightarrow \ x+8=-4x+18\\x+4x = 18-8 \rightarrow 5x=10 \rightarrow x=2[/tex]
Then let's plug this value into a convenient one - let's say, the first - and find y from there:
[tex]y=\frac12\cdot 2 +4\rightarrow y =1+4 \rightarrow y=5[/tex]
If anyone tries saying it's not substitution, bring the system in standard form, as you did for the elimination method, then solve again for y.
first to answer get brainliest thankss :)
Answer:
47
Step-by-step explanation:
First, we find angle 2. It is a supplementary angle with that 104 exterior so we take 180-104=76. Angle 2 is 76.
Now that we have two angles of the triangle, we can set up the equation:
76+57+x=180
we have 180 because all three angles of any triangle equal 180.
solving for x:
simplify the equation, (x)+(76+57)=180
combine like terms, x+133=180
Subtract 133, 180−133=47
x=47.
If the perimeter of a rectangle is 6x^2-2x+14 and the length is x^2-x+8 what is the measure of the width?
Please help!!
Answer:
w = 2x^2-2x+15
Step-by-step explanation:
Since the formula to find the perimeter is P=2l+2w, use this to set up your equation:
6x^2-2x+14 = 2(x^2-x+8) + 2w
Then, distribute the 2 to everything inside the parentheses.
6x^2-2x+14 = 2x^2-2x+16 + 2w
Subtract 2x^2-2x+16 from both sides, leaving you:
4x^2-4x+30 = 2w
Divide 2 from both sides.
2x^2-2x+15
The answer is 2x^2-2x+15
(PLEASE HELP, THIS IS DUE TONIGHT!!!!) 2. If triangle ABC is congruent to triangle DEF by SAS, AB=DE, information that shows SAS?
3. In quadrilateral ABCD, AB and CD are parallel and congruent, BC and DA are parallel and congruent, and AC and BD are congruent. What type of figure is this and explain why you chose this figure?
Answer:
One pair of opposite sides are parallel and congruent. From the figure, one pair of opposite sides has the same measure and are parallel.
Jamie went on a vacation with his family. He spent 32.25% of the total cost on the airline tickets, of the total cost on hotels, and 12.75% of the total cost on food. If he spent of the remaining amount on shopping, what percentage of the total cost was spent on shopping?
Answer:
In my opinion he spent 55%
Pls help me I have to do my other work. Also this detects if it’s right or wrong:(
[tex]log_{4} (x+3)(x-3) = 2[/tex]
solve for x
Answer:
x = √11
Step-by-step explanation:
(x + 3)(x - 3) = 2
=> x² - 3x + 3x - 9 = 2
=> x² - 9 = 2
=> x² = 11
=> x = √11
Hoped this helped.
Use the solutions below to write the quadratic expression in standard form.
x=-6 x=2
identify the proportional relationship.
1. y = x + 2
2. y = -x
3. x = 2
4. y = -2x - 1
Answer:
y = -x
Step-by-step explanation:
Answers 1 and 4 have an offset (+2 and -1) that interferes. x = 2 is not a proportion. It is simply a statement that x = 2. It is not allowed in the high stakes room.
Can somebody help me with 20. Thank you!!!
Answer:
What do you mean, I'll help.
Step-by-step explanation:
PLEASE HELP
Find the current value of a car bought for new at $18300 which depreciates at 8% per annum over 4 years
Answer:
12, 444
Step-by-step explanation:
•First find out what is 8% of 18300
=8\100 ×18300\1 = 146400\100 =1464. [\ means ÷]
• Next multiply 1464 by 4 years =5,856
•Finally calculate 18300- 5856 = 12,444 (we are saying 18300 - 5856 because the money
decreased & 5856 represnt 8% of 18300 in 4 years)
Note :~ Appreciation is when money increases
~Deperciation is when money decreases
Hope this helps !!!