Answer:
C
Step-by-step explanation:
The common ratio r of a geometric sequence is calculated as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{4}{3}[/tex] → C
Answer:
C)
Step-by-step explanation:
Geometric Sequence:
3, 4 , [tex]\frac{16}{3}[/tex]......
Common ratio = [tex]\frac{second term}{first term}[/tex]
= [tex]\frac{4}{3}[/tex]
4/5x - 1/10 = 3/10
what is the value of x ?
Answer:
x = 1/2Step-by-step explanation:
[tex]\frac{4}{5}x-\frac{1}{10}=\frac{3}{10}\\\\\mathrm{Add\:}\frac{1}{10}\mathrm{\:to\:both\:sides}\\\\\frac{4}{5}x-\frac{1}{10}+\frac{1}{10}=\frac{3}{10}+\frac{1}{10}\\\\\frac{4}{5}x=\frac{2}{5}\\\\\mathrm{Multiply\:both\:sides\:by\:}5\\\\5\times \frac{4}{5}x=\frac{2\times \:5}{5}\\\\4x=2\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4x}{4}=\frac{2}{4}\\\\x=\frac{1}{2}[/tex]
Answer:
1/2
Step-by-step explanation:
isolate variable
solve
find the area of a rhombus with a 120 degree angle and sides 10 cm
Answer:
A = 50√3 cm²Step-by-step explanation:
[tex]A=s^2\cdot \sin\alpha\\\\s=10\\\alpha=120^o\\\\A=10^2\cdot\sin(120^o)=100\sin(180^o-60^o)=100\sin(60^o)=100\cdot\frac{\sqrt3}2=50\sqrt3[/tex]
Determine the equation of the inverse of y = 1/4 x^3 - 2
All of 4x+8 is under a cube root sign.
=====================================================
Work Shown:
To find the inverse, we swap x and y, then solve for y.
[tex]y = \frac{1}{4}x^3 - 2\\\\x = \frac{1}{4}y^3 - 2\\\\x+2 = \frac{1}{4}y^3\\\\4(x+2) = y^3\\\\4x+8 = y^3\\\\y^3 = 4x+8\\\\y = \sqrt[3]{4x+8}\\\\[/tex]
------------
Side note:
If [tex]f(x) = \frac{1}{4}x^3 - 2[/tex] and [tex]g(x) = \sqrt[3]{4x+8}[/tex], then [tex]f(g(x)) = x[/tex] and [tex]g(f(x)) = x[/tex]for all x values in the domain. Effectively, you use function composition to confirm that we have the correct inverse equation.
27 – 4 + 2a = 4a + 10 what is the answer
Answer:
13/2 = a
Step-by-step explanation:
27 – 4 + 2a = 4a + 10
Combine like terms
23 +2a = 4a +10
Subtract 2a from each side
23+2a-2a = 4a-2a +10
23 = 2a+10
Subtract 10 from each side
23-10 = 2a+10-10
13 = 2a
Divide by 2
13/2 = a
Answer: a = 13/2
I assume you don't need a step - by - step, you're just asking for the answer. Hope this helps!
What expression has the same value as -3/2-(2-3/8)+3/2
Answer:
[tex]\dfrac{-3}{2}-(2-\dfrac{3}{8})+\dfrac{3}{2}=\dfrac{-13}{8}[/tex]
Step-by-step explanation:
We need to find the value of expression [tex]\dfrac{-3}{2}-(2-\dfrac{3}{8})+\dfrac{3}{2}[/tex].
Firstly solving the second term as :
[tex](2-\dfrac{3}{8})=\dfrac{16-3}{8}=\dfrac{13}{8}[/tex]
Now the above expression becomes,
[tex]\dfrac{-3}{2}-(2-\dfrac{3}{8})+\dfrac{3}{2}\\=\dfrac{-3}{2}-\dfrac{13}{8}+\dfrac{3}{2}[/tex]
-3/2 and +3/2 equals 0.
It means that, [tex]\dfrac{-3}{2}-(2-\dfrac{3}{8})+\dfrac{3}{2}=\dfrac{-13}{8}[/tex]
Which graph best represents the function f(x) = 2(1.5)x? graph of increasing exponential function going through point 0, 2 graph of increasing exponential function going through point 0, 3 graph of increasing exponential function going through point 0, 1 graph of increasing exponential function going through point 0, 4
Graph of increasing exponential function going through point (0, 2)
=======================================================
Explanation:
Assuming you meant to say f(x) = 2(1.5)^x, then we can see the equation is an exponential and it is increasing. It is increasing because the base b = 1.5 is larger than 1.
Plug in x = 0 to find y
y = 2(1.5)^x
y = 2(1.5)^0
y = 2(1)
y = 2
We have x = 0 and y = 2 pair up together meaning (0,2) is on the function curve. This is the y intercept.
Answer:
A. graph of increasing exponential function going through point 0, 2
Step-by-step explanation:
A sequence of transformations is described below. A reflection over a line \overleftrightarrow{PQ} PQ P, Q, with, \overleftrightarrow, on top A rotation about the point PPP Another reflection over \overleftrightarrow{PQ} PQ P, Q, with, \overleftrightarrow, on top A rotation about the point QQQ Which of the following must be preserved under this sequence of transformations? Choose 1 answer: Choose 1 answer: (Choice A) A Angle measures only (Choice B) B Segment lengths only (Choice C) C Both angle measures and segment lengths (Choice D) D Neither angle measures nor segment lengths
Answer:
The correct option is;
(Choice C) Both angle measures and segment lengths
Step-by-step explanation:
The given transformations are;
The reflection over the line, [tex]\overleftrightarrow{PQ}[/tex], with, A rotation about the point P. Another reflection over [tex]\overleftrightarrow{PQ}[/tex]. A rotation about the point Q, we have;
The transformations involve changes only in the orientation and location of the pre-image, which remain rigid, therefore, there are no changes in the segment lengths or angle dimensions
Therefore, the correct option is, both angle measures and segment lengths.
(Choice C) C Both angle measures and segment lengths
HELP ASAP!!!! URGENT!!! LOOK AT SCREENSHOT! Identify all points and line segments in the picture below. This image has the potential for visual bias, so there is no alternative text. Select one: a. Points: A, B Line segments: bar(AB) b. Points: A, B, C, D Line segments: bar(AB) c. Points: A, B, C, D Line segments: bar(AB), bar(BC), bar(CD), bar(AD), bar(BD), bar(AC) d. Points: A, B, C, D Line segments: bar(AB), bar(AC), bar(BD)
Answer:
the answer is D
It takes 1.5 seconds for a grandfather clock's pendulum to swing from left (initial position) to right, covering a horizontal distance of 10 inches. Which function models the horizontal displacement as a function of time in seconds? y = 5 cosine (StartFraction 2 pi Over 3 EndFraction x) y = 5 cosine (StartFraction 4 pi Over 3 EndFraction x) y = 10 cosine (StartFraction 2 pi Over 3 EndFraction x) y = 10 cosine (StartFraction 4 pi Over 3 EndFraction x)
Answer:
Step-by-step explanation:
Given functions are
y = 5 cos ( 2π / 3 ) t
y = 5 cos ( 4π / 3 ) t
y= 10 cos ( 2π / 3 ) t
y = 10 cos ( 4π / 3 ) t
The pendulum half oscillation from left extreme to right extreme takes 1.5 s
So its time period of oscillation T = 1.5 x 2 = 3 s .
standard equation of oscillation is
y = A cos ω t where A is amplitude and ω is angular frequency .
Amplitude of oscillation A = 10 / 2 = 5 inch .
Among the given equation of motion only first two has amplitude equal to 5 . So both the last two are ruled out .
The angular frequency of first motion as per given equation
ω = 2π / 3
If time period is T
2π / T = 2π / 3
T = 3 s
So it matches with the time period of oscillation of pendulum .
Hence the first equation truly represents the oscillation of pendulum.
The function models the horizontal displacement as a function of time in seconds is [tex]\rm y = 10 sin(\dfrac{2\pi}{3})t[/tex] and this can be determined by using the given data.
Given :
It takes 1.5 seconds for a grandfather clock's pendulum to swing from left (initial position) to right, covering a horizontal distance of 10 inches.
For the oscillation the standard equation is given below:
[tex]\rm y = A\;cos \;\omega t[/tex]
where A is the amplitude, [tex]\omega[/tex] is the angular velocity, and t is the time.
Now, determine the time period that is:
T = 1.5 [tex]\times[/tex] 2
T = 3sec
Now, the angular frequency is given by:
[tex]\omega = \dfrac{2\pi}{3}[/tex]
So, the function models the horizontal displacement as a function of time in seconds is given below:
[tex]\rm y = 10 sin(\dfrac{2\pi}{3})t[/tex]
Therefore, the correct option is C).
For more information, refer to the link given below:
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help me im dangered plzzzzzzzzzzzzzzzzzzzz
Answer:
A
Step-by-step explanation:
Hi!
An exponent is the same thing as just multiplying the expression by itself the number of times the exponent says. So we need to multiply 1/3 by itself three times.
1/3 * 1/3 * 1/3 = 1/27
solve 2(1/9)× = 2/81 for x
Answer: x=1/9
Step-by-step explanation:
[tex]2\left(\frac{1}{9}\right)x=\frac{2}{81}[/tex]
[tex]\frac{2}{9}x=\frac{2}{81}[/tex]
multiply both sides by 9
[tex]9\cdot \frac{2}{9}x=\frac{2\cdot \:9}{81}[/tex]
[tex]2x=\frac{2}{9}[/tex]
divide 2 on both sides
[tex]x=\frac{1}{9}[/tex]
What is the area of this composite figure?
Answer:
C.) 7.14 in²
Step-by-step explanation:
The figure is made up of a square and a circle. The circle is divided in half and each piece is set on one side of the square. This means that the diameter of the circle is equal to the length of the sides of the square, 2 inches.
The area of the square can be found by multiplying length times the width:
[tex]2*2=4[/tex]
The area of the square is 4 inches, and since we multiplied two lengths, we square the value:
A=4in²
Now find the area of the circle using the formula:
[tex]A=\pi r^2[/tex]
The radius is half of the diameter, so the radius is 1. Insert values and solve:
[tex]A=\pi *1^2\\\\A=\pi *1\\\\A=\pi[/tex]
The area of the circle is equal to π. Add the values together:
[tex]4+\pi =7.14[/tex]
The area of the figure is 7.14 in²
:Done
what is the answer for 6x-4=-26+5x
Answer: x=-22
Step-by-step explanation:
6x-4=-26+5x
6x-4-5x=-26+5x-5x ⇔ subtraction property of equality
x-4=-26
x-4+4=-26+4 ⇔ addition property of equality
x=-22
Answer:
x = - 22Step-by-step explanation:
6x - 4 = - 26 + 5x
First of all group like terms
Send the constants to the right side of the equation and those with variables to the left
That's
6x - 5x = 4 - 26
Simplify
We have the final answer as
x = - 22Hope this helps you
PLEASE HELP! 17 points! Use the right-hand rule for magnetic force to determine the charge on the moving particle. This is a _____ charge.
Answer: Positive Charge
Answer:
negative
Step-by-step explanation:
When using the Right-Hand Rules, it is important to remember that the rules assume charges move in a conventional current (the hypthetical flow of positive charges). In order to apply either Right-Hand Rule to a moving negative charge, the velocity (v) of that charge must be reversed--to represent the analogous conventional current.
The opposite charge is a negative charge.
Please answer question
Answer:
87.6yd²
Step-by-step explanation:
Base: =1/2bh
=1/2(6)(5.2)=15.6
Sides: =1/2bh
=1/2(6)(8)=24 (3 of them)
15.6+24+24+24=87.6yd²
Ten people were chosen at random and surveyed. The survey asked participants for the number of hours they sleep per night and the amount of their annual income. Letting X represent the number of hours the participant sleeps per night and Y represent the participant's annual income, the surveyor calculated the correlation coefficient between X and Y to be 0.29. Interpret the correlation coefficient calculated by choosing the statement below which correctly describes the correlation between X and Y. A. weak negative correlation B. strong negative correlation C. strong positive correlation D. weak positive correlation
Answer:
A. R=0.86; strong correlation
Step-by-step explanation:
The correlation coefficient of 0.29 indicates that the correlation is a weak positive correlation. Thus option (D) is the correct answer.
What is correlation?"Correlation is a statistical tool that studies the relationship between two variables. Data sets have a positive correlation when they increase together, and a negative correlation when one set increases as the other decreases".
For the given situation,
Correlation coefficient = 0.29
Positive correlation: the two variables change in the same direction.
Negative correlation: the two variables change in opposite directions.
No correlation: there is no association or relevant relationship between the two variables.
The correlation coefficient lies between 0 to 0.3 indicating that the correlation is a weak positive correlation.
Hence we can conclude that option (D) weak positive correlation is the correct answer.
Learn more about correlation here
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M1: L12a: Solving Equations Exit Ticket Determine which of the following equations have the same solution set. Must show work. 1. 3y + 8 = -10 - 3y 2. 6r+ 7 = 13 + 7r 3. 13 - 4m = 1 - m 4.-8-h=-3h 5. 38+7f=8f + 32 6. -6n + 20 = -14n - 4
determine which of the following has the same solution set must show work
Answer:
uhfcytuyyytt ryffffffffgtgghhh
A portion of the Quadratic Formula proof is shown. Fill in the missing reason. A: Multiply the fractions together on the right side of the equation? B: Subtract 4ac on the right side of the equation? C: Add 4ac to both sides of the equation? D: Add the fractions together on the right side of the equation?
Answer:
Combine numerators over the common denominator to make one term
Step-by-step explanation:
Answer:
D: Add the fractions together on the right side of the equation
Step-by-step explanation:
Let's finish this proof:
Add the fractions together on the right side of the equation
[tex]$x^2+\frac{b}{a} x+\left(\frac{b}{2a} \right)^2=\frac{b^2-4ac}{4a^2} $[/tex]
[tex]\text{Consider the discriminant as }\Delta[/tex]
[tex]\Delta=b^2-4ac[/tex]
Once we got a trinomial here, just put in factored form:
[tex]$\left(x+\frac{b}{2a}\right)^2=\frac{\Delta}{4a^2} $[/tex]
[tex]$x+\frac{b}{2a}=\pm\frac{\Delta}{4a^2} $[/tex]
[tex]$x+\frac{b}{2a}=\pm \sqrt{\frac{\Delta}{4a^2} } $[/tex]
[tex]$x=-\frac{b}{2a}\pm \sqrt{\frac{\Delta}{4a^2} } $[/tex]
[tex]$x=-\frac{b}{2a}\pm \frac{ \sqrt{\Delta} }{2a} $[/tex]
[tex]$x= \frac {-b\pm \sqrt{\Delta}}{2a} $[/tex]
[tex]$x= \frac {-b\pm \sqrt{b^2-4ac}}{2a} $[/tex]
A sample of 500 g of radioactive lead-210 decays to polonium-210 according to the function A(t)=500e^-0.032t , where t is time in years. Find the amount of radioactive lead remaining after (a) 3yr, (b) 8yr, (c) 10 yr. (d) Find the half-life.
Answer:
Step-by-step explanation:
Using the equation A(t) = 400e-.032t
a) replace t with 4 so A(4) = 400e((-.032)(4))
The hardest part about this is making sure to use order of operations. Be certain it works like this:
A(4) = 400e-.128
A(4) = 400(.8799)
A(4) = 351.9 grams
b) A(8) = 400e((-.032)(8)) = 309.7 grams
c) A(20) = 400e((-.032)(20)) = 210.9 grams
Note here that even after 20 years, not quite half of the original amount is gone. So, we can anticipate that in finding the half life, that our answer should be slightly greater than 20 years.
d) 200 = 400e(-.032t)
Divide both sides of the equation by 400.
.5 = e(-.032t)
Change this to logarithmic form.
Ln .5 = -.032t
-.6931≈ -.032t
t ≈ 21.7 years
Hope this helps!
The amount of radioactive lead,
(a).After 3 years is 454.23 grams
(b).After 8 years is 387.07 grams
(c).After 10 years is 363.07 grams.
(d). half life is 21.66 years.
The decay of radioactive lead is given by function,
[tex]A(t)=500e^{-0.032t}[/tex]
The amount of radioactive lead After 3 years is,
[tex]A(3)=500e^{-0.032*3}=0.908*500=454.23g[/tex]
The amount of radioactive lead After 8 years is,
[tex]A(8)=500e^{-0.032*8}=500*0.774=387.07g[/tex]
The amount of radioactive lead After 10 years is,
[tex]A(10)=500e^{-0.032*10}=500*0.726=363.07g[/tex]
Half life is defined as the interval of time required for one-half of the atomic nuclei of a radioactive sample to decay.
So, [tex]250=500e^{-0.032t}[/tex]
[tex]e^{-0.032t}=0.5\\\\-0.032t=ln(0.5)\\\\-0.032t=-0.693\\\\t=0.693/0.032=21.66 years[/tex]
Learn more:
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write down the missing number in the following 1,,4,9,16,25,?
Answer:
36
Step-by-step explanation:
you know the number based on the sequence
the values increase in the form of x+2
e.g. 4-1=3
9-4=5
16-9=7
25-16=9
you can see the number adds 2 for every increased number
and by following this sequence you will get the number 36
Answer:
by the square of 1, 2 ,3 the sequence has been made
Step-by-step explanation:
1 for 1²
4 for 2²
9 for 3²
16 for 4²
25 for 5²
so the later one will be 36 for 6²
so the answer is 36 thats all
HELP ASAP ITS SO HARD! Kelsey did the following division problem. Her teacher says that the quotient she found is wrong. −2 5/6 ÷ 1 1/3 −17/6 ÷ 4/3 −6/17• 3/4 −6×3 divided by 17×4 −18/68 −9/34 A. Identify what Kelsey did wrong in her calculations. B. Find the correct quotient, showing all of your calculations.
Part A
Her steps were
[tex]-2 \frac{5}{6} \div 1 \frac{1}{3}\\\\-\frac{17}{6} \div \frac{4}{3}\\\\-\frac{6}{17} \times \frac{3}{4}\\\\-\frac{6\times 3}{17\times4}\\\\-\frac{18}{68}\\\\-\frac{9}{34}\\\\[/tex]
Kelsey made a mistake on line 3. Note how the 17/6 flips to 6/17. This is not correct. You keep the first fraction the same, but you do flip the second fraction. This only applies when you divide two fractions.
The third step should look like [tex]-\frac{17}{6}\times \frac{3}{4}[/tex]
=======================================================
Part B
Here's what she should have written
[tex]-2 \frac{5}{6} \div 1 \frac{1}{3}\\\\-\frac{17}{6} \div \frac{4}{3}\\\\-\frac{17}{6} \times \frac{3}{4}\\\\-\frac{17\times 3}{6\times 4}\\\\-\frac{51}{24}\\\\-\frac{17}{8}\\\\[/tex]
If you want to convert that improper fraction to a mixed number, then you could do something like this
[tex]-\frac{17}{8} = -\frac{16+1}{8}\\\\-\frac{17}{8} = -\frac{16}{8}-\frac{1}{8}\\\\-\frac{17}{8} = -2 \frac{1}{8}\\\\[/tex]
Or you could divide 17 over 8 using long division to get 2 remainder 1. The 2 is the quotient that goes to the left of the 1/8. The remainder of 1 is the numerator of 1/8.
Find the missing probability: P(B)=7/20, P(A|B)=1/4, P(A∩B)=?
Answer:
P(A∩B) = 7/80
P(A∩B) = 0.0875
Step-by-step explanation:
Given
P(B)=7/20
P(A|B)=¼
Required
P(A∩B)=?
The given probability shows conditional probability and the relationship between the given parameters is as follows.
P(A∩B) = P(B) * P(A|B)
Substitute ¼ for P(A|B) and 7/20 for P(B)
The expression
P(A∩B) = P(B) * P(A|B) becomes
P(A∩B) = 7/20 * ¼
P(A∩B) = 7/80
P(A∩B) = 0.0875
Hence, the calculated P(A∩B) is 7/80 or 0.0875
Find f(x) and g(x) so the function can be expressed as y = f(g(x)). (1 point) [tex]y=\frac{7}{x^{2} } +10[/tex]
Answer:
The functions are [tex]f(x) = 7\cdot x+10[/tex] and [tex]g(x) = \frac{1}{x^{2}}[/tex], respectively.
Step-by-step explanation:
Let suppose that [tex]g(x) = \frac{1}{x^{2}}[/tex], then [tex]f(g(x))[/tex] is:
[tex]f(g(x)) = 7\cdot \left(\frac{1}{x^{2}} \right) + 10[/tex]
[tex]f(g(x)) = 7\cdot g(x) + 10[/tex]
Thus,
[tex]f(x) = 7\cdot x + 10[/tex]
The functions are [tex]f(x) = 7\cdot x+10[/tex] and [tex]g(x) = \frac{1}{x^{2}}[/tex], respectively.
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
square root of the quantity x minus 3 end quantity plus 5 equals x
Answer:
Step-by-step explanation:
[tex]\sqrt{x-3} +5=x\\\sqrt{x-3} =x-5\\squaring ~both~sides\\x-3=x^2-10x+25\\x^2-10x-x+25+3=0\\x^2-11x+28=0\\x^2-7x-4x+28=0\\x(x-7)-4(x-7)=0\\(x-7)(x-4)=0\\x=7,4[/tex]
put x=7 in the given equation
[tex]\sqrt{7-3} +5=7\\\sqrt{4} +5=7\\2+5=7\\7=7[/tex]
which is true .
∴ x=7 is a solution of the given eq.
now put x=4 in the given eq.
[tex]\sqrt{4-3} +5=7\\1+5=7\\6=7\\[/tex]
which is not true.
∴x=4 is an extraneous solution.
Convert into slope-intercept form: [tex]y-1=m(x-3)[/tex]
Answer:
y=2x-5
Step-by-step explanation:
First simplify: y-1=2x-6
y-1=2(x-3)
First simplify and distribute everything.
y-1=2x-6
So, x equals 2 because it got distributed into the numbers inside the parenthesis. Same with the 2 and -3. They multiplied to become -6.
Since it's y-1=2x-6, you can simplify it even more so the -1 goes to the other side and turns into positive 1.
y - 1 (+ 1) = 2x -6 (+ 1)
-1(+1)=0 which leaves just the variable y on the left side.
-6(+1)=-5 which leaves 2x-5 on the right side.
This results in y=2x-5. Hope this helped ;)
Answer:
y = 2x - 5
Step-by-step explanation:
y - 1 = 2(x - 3)
y - 1 = 2x - 6
y - 1 + 1 = 2x -6 + 1
y = 2x - 5
Convert 25 feet per second to miles per hour.
1 mile = 5,280 feet
1 hour = 3600 seconds
3600/5280 = 0.681818 feet per second
25 ft per second x 0.681818 = 17.045 miles per hour
Round the answer as needed.
Answer:
The correct answer is 17.045 miles per hour.
Simplify to create an equivalent expression.
5(10k + 1) + 2(2+8k)
Answer:
66k+9
Step-by-step explanation:
Let's simplify step-by-step.
5(10k+1)+2(2+8k)
Distribute:
=(5)(10k)+(5)(1)+(2)(2)+(2)(8k)
=50k+5+4+16k
Combine Like Terms:
=50k+5+4+16k
=(50k+16k)+(5+4)
=66k+9
Answer:
=66k+9
HOPE THIS HELPS!!!!!! :)
<3333333333
help help help me plZZZZZ ill give you brainly ;DDD
Answer:
the answer is 60.7
Step-by-step explanation:
60 to has a between numbers like given in the picture
so as number line it's
60.1 . 60.2 60.3 60.4 60.5 60.6 60.7 60.8 and continue
if u get any 3 digit number like 600 to 650 in number line
u do it like it the same 600.1 600.2.... and go on
Answer:
63½ or 63.5
Step-by-step explanation:
65-60=5
10points=5
1point=?
1×5/10= ½
that means the sequence continues after adding ½ i.e
60..60½...61...61½...62...62½...63...63½...64..64½...65
you have been asked the 8th number which is 63½
how to find the theta with side lengths of a triangle
Step-by-step explanation:
Hello, there!!!
I hope you mean the question is like the above problem in picture.
so, let's simply work with it.
here, we may use cosine rule,
so, according to cosine rule,
[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.cosc[/tex]
so, just put value of formulae here,
we get;
5^2 = 3^2 + 4^2 - (2×3×4) . cos thita
or, 25 = 9 + 16 -24 cos thita.
or, 24 cos thita = 0
or, cos thita = 0/25
or, cos thita = 0
now, taking cos to right side we get,
[tex] {cos}^{ - 1 } (0)[/tex]
now, after typing cos ^-1 (0) we get angle as 90°.
(note: in step {cos thita = 0} you couold directly write like; cos thita = cos 90°. and cos would be cancelled in it as cos 90°=0. but it is only applied in particular angle like 0°,30°,60°,..... which are identified or if you don't know you must use the method above using calculator and remember to put inverse {cos^-1}).
so, In this way we find angle.
I hope it helps....
a man stride is 7/8 metre long. how many strides does he take in walking a distance of 98m
Answer:
112
Step-by-step explanation:
To find the number of strides, divide the distance by the distance per stride:
(98 m)/(7/8 m/stride) = (98)(8/7) strides = 112 strides
He takes 112 strides in walking 98 m.