What load can be lifted by an effort of 800N if the effort arm is 80cm and the load arm is 20cm?​

Answer:

see explanation

Step-by-step explanation:

Using the identity

tan x = [tex]\frac{sinx}{cosx}[/tex]

Consider the left side

[tex]\frac{1-tan^2x}{1+tan^2x}[/tex]

= [tex]\frac{1-\frac{sin^2x}{cos^2x} }{1+\frac{sin^2x}{cos^2x} }[/tex] ( multiply numerator and denominator by cos²x to clear fractions

= [tex]\frac{cos^2x-sin^2x}{cos^2x+sin^2x}[/tex] ← ( cos²x + sin²x = 1 ]

= cos²x - sin²x

= right side , thus proven

Step-by-step explanation:

A=a+b/2

2×A=a+b

2A=a+b

2a-a=b

a=b

hope it helps

Answer:

A=2

and B=2

Step-by-step explanation:

If you add two plus two you get four, and divided by two you get 2.

Answer:

(a) $3.00

(b)(i) $33.00

(b)(ii) $322.50

Step-by-step explanation:

(a)

100% = $20.00

1% = 100%/100 = 20/100 = $0.20

15% = 1%×15 = 0.2×15 = $3.00

so, he actually has to pay $20 + $3 = $23 per toaster.

or shorter and direct, since we calculate the extra 15% based on the original 100%, we can say he has to pay 115% of the basic price.

115% = 0.2×115 or = 100%×1.15 = 20×1.15

0.2 × 115 = $23

20 × 1.15 = $23

so, you can see the several ways to get to the result.

in any case, the profit is $26-$23 = $3 per toaster.

(b)(i)

100% new price = 100% old price + 20% = 120% old price

or 100% old price × 1.2

100% new price per toaster = 20×1.2 = $24.00

the new tax is increased TO 25% (not by 25%) be careful to see that detail.

so, we need to add 25% of the new price.

125% new price = 24×1.25 = $30.00

so, in order to make again $3 profit, the customer has to pay now $30+$3 = $33.00

(b)(ii)

100% (b)(i) selling price = $33.00

30% more means 130% of that, or 1.3×100%

33×1.3 = $42.90

so, the profit per toaster is now 42.90 - 30 = $12.90

when selling 25 of these toasters the profit is then

25×12.90 = $322.50

Answer:

Area of the square:

Area of the circle:

Probability of landing in the shaded region:

Answer:

78.5%

Step-by-step explanation:

We can find the area of both shapes then divide to find the probability.

Square area:

40 * 40 = 1600ft²

Circle area with diameter [ 1/4πd² ]:

1/4π(40)²

1/4π(1600)

0.785(1600)

1,256

Now divide both areas to find the probability.

1256/1600 = 0.785

0.785 * 100% = 78.5%

Best of Luck!

Answer:

d

Step-by-step explanation:

Answer: x^3

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

(y+2)^2

Let y = -4

(-4+2)^2

Parentheses first

(-2)^2

Exponents

4

Answer:

-4

Step-by-step explanation:

y = -4

Substituting y in the equation,

(-4+2)2

(-2)2         [Negative x Positive = Negative]

=> -4

Answer:

6/25

Step-by-step explanation:

.24 = 24/100 = 6/25

Answer:

6/25

Step-by-step explanation:

step 1 The decimal number = 0.24

step 2 Write it as a fraction

0.24/1

step 3 Multiply 100 to both numerator & denominator

(0.24 x 100)/(1 x 100) = 24/100

It can be written as 24% = 24/100 or 24/100

step 4 To simplify 24/100 to its lowest terms, find LCM (Least Common Multiple) for 24 & 100.

4 is the LCM for 24 & 100

step 5 divide numerator & denominator by 4

24/100 = (24 / 4) / (100 / 4)

= 6/25

6/25 is a simplest fraction for the decimal point number 0.24

Step-by-step explanation:

2a = 10 because a = 5 and 2a means 2 × a which is the same as 2 × 5 and this equals 10.

hope this helps

Step-by-step explanation:

230m...................

Answer: so the answer would actually b

Step-by-step explanation:

Answer:

Uhh I think some information is missing I am not sure tho

Answer:

Ignorance, or a lack of knowledge, isn't usually viewed as a good thing. However, there may be situations when you're happier not knowing the truth. A common expression used to describe these situations is “Ignorance is bliss.” This phrase is an idiom, which is means that it isn't meant to be taken literally.

I am super late

Answer:

x=11

Step-by-step explanation:

h(x)=4x-5

[tex]\\ \sf\longmapsto h(7)[/tex]

[tex]\\ \sf\longmapsto 4(7)-5[/tex]

[tex]\\ \sf\longmapsto 28-5[/tex]

[tex]\\ \sf\longmapsto 23[/tex]

Answer:

23

Step-by-step explanation:

h(7)= 4(7) - 5

h(7)= 28 - 5

h(7)= 23

Answer:

200.

Step-by-step explanation:

-------- 200 -------

Hope that helps.

Answer:

-(n -1)(n^2 + n + 1)(n + 1)(n^2 - n + 1).

Step-by-step explanation:

1 - n^6 = (1 - n^3)(1 + n^3)

1 - n^3 = -(n -1)(n^2 + n + 1)  and

1 + n^3 = (n + 1)(n^2 - n + 1)

So Substituting we have:

-(n -1)(n^2 + n + 1)(n + 1)(n^2 - n + 1)

Answer:

2nd option

Step-by-step explanation:

Given

c = 8πab ( isolate a by dividing both sides by 8πb

[tex]\frac{c}{8\pi b}[/tex] = a

Answer:

2x+4+2y+10=4

2x+2y=4-10-4

2(x+y)=-10

x+y=-10/2

x+y=-5

x+2x+1=-5

3x=-6

x=-6/3

x=-2

Answer:

a. F=1.8c + 32

b. 71.6 degrees Fahrenheit

c. c=(F-32)/1.8

d. 28.3 degrees Celcius

Step-by-step explanation:

a. Given the two data points we can create an equation in slope-intercept form.

The y-intercept is 32

Slope can be found by doing 212-32/100-0 = 180/100 = 1.8

F=1.8c + 32

b. We can use this formula to solve for Fahrenheit

F=1.8(22)+32

F=71.6 degrees

c. Isolate c

F-32=1.8c

(F-32)/1.8=c

d. We can use this formula to solve for Celcius

(83-32)/1.8=c

c= 28.3333333 degrees

We can round that to 28.3 degrees Celcius

Answer:

a)F =1.8C +32

b) f(22) = 68 F

c)  C = 5/9F -17  7/9

d) 28.3

slope=   5/9  

B= -17  7/9  

Step-by-step explanation:

x1 y1  x2 y2

0 32  100 212

(Y2-Y1) (212)-(32)=   180  ΔY 180

(X2-X1) (100)-(0)=    100  ΔX 100

slope= 1  4/5    

B= 32          

Y =1.8X +32    

Answer:

20

Step-by-step explanation:

20 fits all of the requirements.

It is between 17 and 22.

2 and 5 are two of its factors.

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

20

....................

Answer:

The answer is 8.8

Step-by-step explanation:

4/5 x 20/20 = 80/100

80/100 = .8

Step-by-step explanation:

[tex]8 + \frac{4}{5} = \frac{40 + 4}{5} \\ = \frac{44}{5} = 8.8 \\ thank \: you[/tex]

Answer:

0

Step-by-step explanation:

9 × 8 × 7 × 0

anything that is multiplied by 0 equals to 0

Answer:

You have done it wrong.

Step-by-step explanation:

4 3/7 - 5/7 = 3 5/7

We can change the equation to a improper fraction first.

4 3/7 = 4*7+3 = 31/7

31-5 = 26

Therefore the answer is 26/7.

simplify

The answer is equal to 26/7, or 21/7 + 5/7

Which is 3 5/7

Sorry but you did it wrong...

First you gonna make 4[tex]\frac{3}{7}[/tex] become 3[tex]\frac{10}{7}[/tex] ( 4 -> 3 [tex]\frac{7}{7}[/tex] - *you need to make it become the same denominator)

Lets do it:  3[tex]\frac{10}{7}[/tex] - [tex]\frac{5}{7}[/tex] = ...

Because in  [tex]\frac{5}{7}[/tex]  doesn't have a whole number so you will still keep 3

                 3[tex]\frac{10}{7}[/tex] - [tex]\frac{5}{7}[/tex] = 3.....

Next, you gonna subtract [tex]\frac{10}{7}[/tex] - [tex]\frac{5}{7}[/tex] = [tex]\frac{10-5}{7}[/tex] = [tex]\frac{5}{7}[/tex]

                 3[tex]\frac{10}{7}[/tex] - [tex]\frac{5}{7}[/tex] = 3[tex]\frac{5}{7}[/tex]

SO the answer for 4[tex]\frac{3}{7}[/tex] - [tex]\frac{5}{7}[/tex] is 3[tex]\frac{5}{7}[/tex]

Hope it helps, Studywell!

Answer:

Question 2

180=2x+3x

180=5x

36=x

Answer:

[tex]than k \: you[/tex]

Answer:

Kala must score 20 points in her fifth game.

Step-by-step explanation:

The mean or average of a set is given by:

[tex]\displaystyle \overline{x} = \frac{\text{sum of data values}}{\text{number of data values}}[/tex]

(Note: the symbol used to denote the mean is known as "x-bar.")

We want to find the points (let the unknown value be a) Kala needs to score in her fifth game such that her average score is 21 points per game.

In other words, her total score so far plus a all over five (five games in total) must equal 21:

[tex]\displaystyle (21) = \frac{(18) + (22) + (19) + (26) + a}{5}[/tex]

Solve for a. Multiply and combine like terms:

[tex]\displaystyle 105 = 85 + a[/tex]

Subtract. Hence:

[tex]a = 20 \text{ points}[/tex]

In conclusion, Kala must score 20 points in her fifth game.

Answer:

Answer :-

We know that

Average = Sum of observation/Total observation

Let the unknown observation be x

18 + 22 + 19 + 26 + x/5 = 21

85 + x/5 = 21

85 + x = 21 × 5

85 + x = 105

x = 105 - 85

x = 20

Answer:

Answer= 45 units

Step-by-step explanation:

lengths = 3 units

width = 3x5= 15 units

area= length times width= 3x15= 45 units!

Hope this helps :)