Answer:
L.H.S. = [tex]\frac{1}{cosx} -\frac{sinx}{cosx}sinx[/tex]
= [tex]\frac{1}{cosx} - \frac{sin^2x}{cosx}[/tex]
= [tex]\frac{1-sin^x}{cosx} = \frac{cos^2x}{cos x}[/tex]
= cos x = 1/secx
Step-by-step explanation:
Hey there!
Given;
sec x - tan x . sin x = 1/(sec x).
~ Taking LHS.
= sec x - tan x . sin x
= 1/(cos x) - (sin x/cos x) . sin x { Using formula sec x = 1/cos x and tan x = (sin x/cos x)}
~ Multiply (sin x) and (sin x).
[tex] = \frac{1 - { (\sin(x) )}^{2} }{ \cos(x) } [/tex]
~ Use formula 1-sin²x= cos²x
[tex] = \frac{ {cos}^{2} x}{ \cos(x) } [/tex]
~ Cancel cos x.
= cos x
= 1/sec x { cos x = 1/sec x}
→ RHS proved.
Hope it helps.....
Suppose that your boss must choose four employees in your office to attend a conference in Jamaica. Because all 19 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Samuel, Lisa, and Andrew are chosen
Answer: the probability that I, Samuel Lisa and Andrew are chosen is 0.0003
Step-by-step explanation:
Given that;
Number of 4 employees are to be chosen from 19 of them;
so Number of ways to choose 4 employees from 19 employees = ?
we know that;
c(n,r) = [tex]\left[\begin{array}{ccc}n\\r\end{array}\right][/tex] = n! / ( r!(n-r)!)
so we substitute
c(19,4) = [tex]\left[\begin{array}{ccc}19\\4\end{array}\right][/tex] = 19! / ( 4!( 19-4 )!) = 3876
so the probability that I, Samuel Lisa and Andrew are chosen will be;
⇒ 1 / 3876 = 0.0002579 ≈ 0.0003
the probability that I, Samuel Lisa and Andrew are chosen is 0.0003
13.
How much voltage would be necessary to generate 20 amps of current in a circuit that has 5.5
ohms of resistance?
Answer:
110 volts
Step-by-step explanation:
V=I×R
V=20×5.5
V=110 volts
Find the slope of the line that passes
through these two points.
(-2, 1); (3, 2)
Answer:
1/5
Step-by-step explanation:
as 2-1/3-(-2)
Equals 1/5
(4,15)
(8,9) find the slope
Answer: The slope is -3/2
Step-by-step explanation:
To find the slope, find the difference in the y coordinates and divide it by the difference in the x coordinates.
y coordinates; 9 - 15 = -6
x coordinates : 8 - 4 = 4
Slope: -6/4 = -3/2
Answer:
[tex]\frac{15-9}{4-8}= \frac{6}{-4} = -\frac{3}{2}[/tex]
I do not know how to answers any of these questions please help me ❤️ pt. 2
Bryan wants to buy a new pair of jeans. If the jeans were originally $45.00, but are on sale with a 20% discount, how much will Bryan have to pay for the jeans?
Answer:
20% of 45= 9 so you would subtract 9 from 45 getting you 39
Step-by-step explanation:
45-9=39 he would have to pay $39
If (x +1, y + 2) =(3, 4), find x and y.
Answer:
equating the correspondings
x+1=3
x=3-1
x=2
then,
y+2=4
y=4-2
y=2
Answer:
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I do my self o11
Determine whether the figures are similar.
Answer:
you don't have enough information, you would need one of the long lengths on the smaller parallelogram to determine similarity
Step-by-step explanation:
A box weighs 3.2 pounds. The box contains packs of crayons, which each weigh .5 pounds. The total weight of the box and the crayons is 10.7 pounds. How many packs of crayons are in the box
Need help for dis question what is it ??
Answer:
2 * 16 - 4*(3 + 5) = 32 - 32 = 0
Step-by-step explanation:
13 is 5% of what number?
Answer: 260
Step-by-step explanation:
Please help me with this question
Answer:
11/4
29/6
32/5
Step-by-step explanation:
Answer: 11/4, 29/6, 32/5
Step-by-step explanation:
This is going to help trust me
2x+3y=5x-y
Complete the missing value in the solution to the equation.
Answer:
Ur answer is in the screenshot :)
Step-by-step explanation:
1. Subtract 2x2x from both sides. 3y=5x-y-2x
3y=5x−y−2x
2. Simplify 5x-y-2x5x−y−2x to 3x-y3x−y.
3y=3x-y
3. Add yy to both sides.3y+y=3x
3y+y=3x
4. Simplify 3y+y3y+y to 4y4y. 4y=3x
4y=3x
5. Divide both sides by 33.\frac{4y}{3}=x34y=x
6. Switch sides.x=\frac{4y}{3}
x= 34y! Hope this helped!! :))
Find the gradient of the line segment between the points (1,-2) and (-2,10).
Given:
A line segment is between the points (1,-2) and (-2,10).
To find:
The gradient of the given line segment.
Solution:
We know that gradient of the given line segment means slope of the line segment.
The line segment between the points (1,-2) and (-2,10). So, slope of the line segment is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{10-(-2)}{-2-1}[/tex]
[tex]m=\dfrac{10+2}{-3}[/tex]
[tex]m=\dfrac{12}{-3}[/tex]
[tex]m=-4[/tex]
Therefore, the gradient of the given line segment is -4.
How many fewer 14 starfish are there than 16 jellyfish and 4 sharks
Answer:
6 fewer starfish
Step-by-step explanation:
16+4=20
20-14=6
6 fewer starfish are there.
I neeed help with middle school math
Answer:
22/5*8/3
176/15
yep that's it
I think..
A town has a population of 14000 and grows at 2.5% every year. What will be the
population after 5 years, to the nearest whole number?
What’s the answer?
Answer:
6.5
Step-by-step explanation:
Answer:
y≈15840
Step-by-step explanation:
Exponential Functions:
a=starting value = 14000
r=rate = 2.5%=0.025
Exponential Growth:
b=1+r=1+0.025=1.025
Write Exponential Function:
put it all together-
y=14000(1.025)^x
Plug in time for x:
y=14000(1.025) ^5
Evaluate-
y=15839.71498
round-
y≈15840
the price of some medication was increased from $8 to $12. By what percentage was the price of the medicine increased ?
Pls help need answers fast
Answer:
1. 11-y=-9
2. 41+w=26
3. r÷6=-4
4. 18(p)=54 or 18×p=54
5. Yes V= -52
6. Yes Z= -3
7. No would equal 43
8. No T would equal positive 6.
9. B
10. C
11. D
12. A
Please answer asap!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
your answer is 46
Step-by-step explanation:
i did maths lol
mark me brainliest
Find the IQR of the data set
1,1,3,4,4,5,5,5,6,7,9
Answer: 3
Step-by-step explanation:
Sorry if it’s wrong I haven’t done this in a long time
Pls help urgently extra points and mark brainlist
Answer:
the answer is b
Step-by-step explanation:
Answer:
3 one 8 in a row of 8
Step-by-step explanation:
find the slope thanks
Help plsss I have 10 minutes!!!!20 points!!!!
Answer:
its d
Step-by-step explanation:
If Sally had six balls and Mark had seven how many balls did he have in all
Step-by-step explanation:
he had 7 balls
hope he healthy that's a lot of balls to have
Answer:
13 i think 6+7 = 13 yeh yeh
Below are four different advertisements at four different stores for the same jeans. JL Fashion Mart Tops, Bottoms, and More Boy's Jeans Regular Price: $16 Sale Price: 20% off each Boy's Jeans Regular Price: $27 Coupon: Buy 2, get 1 free Clothing Outlet We Sell Everything Boy's Jeans Regular Price: $20 Coupon: Buy 1, get 1 for $1 Boy's Jeans Regular Price: $25.99 Sale Price: Rebate of $5 each Mr. Marks is shopping for three pairs of jeans for his son. If he buys exactly 3 pairs of jeans, which store will give the greatest cost savings? A. JL Fashion Mart
Answer: JL Mart
Step-by-step explanation:
Which is the fraction for 33%
33% in fraction is 33/100.
Please mark as brainliest ~
Hello again. Can someone please help me with this as well. I'll give 100 points!
Answer: Come on, don’t people learn these things in school!
Step-by-step explanation:
Answer:
C. y ≤ 0
D. 18 bags of chips and 6 jars of salsa
Step-by-step explanation:
It is C because, it is over the x axis and it covers all the negative y's.
__________________________________________________________
2.5x + 4y ≤ 60
2.5(10) + 4(2) ≤ 60
25 + 8 ≤ 60
33 ≤ 60
It fits so A doesn't work
2.5x + 4y ≤ 60
2.5(20) + 4(2) ≤ 60
50 + 8 ≤ 60
58 ≤ 60
It fits so B doesn't work
2.5x + 4y ≤ 60
2.5(14) + 4(5) ≤ 60
35 + 20 ≤ 60
55 ≤ 60
It fits so C doesn't work
2.5x + 4y ≤ 60
2.5(18) + 4(6) ≤ 60
45 + 24 ≤ 69
It doesn't fit therefore, your answer would be D. 18 bags of chips and 6 jars of salsa.
helpppppppppppppppppppppppppppppppp
\\\
Answer:
12.5%
Step-by-step explanation:
Select all the intervals where f is decreasing
Answer:
A
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
i did it on khan