help help
Prove the following:
[tex] \sf\frac{ \tan( \theta) }{1 - \cot( \theta) } + \frac{ \cot( \theta) }{ 1 - \tan( \theta) } = \sec( \theta) \cdot \: \csc( \theta) + 1[/tex]
[tex]\text{note: explanation is obvious}[/tex]​

each toss results in 2 possible outcomes, head or tail so the number of possible outcomes for 7 would be

Answer:

2^7

2x2x2x2x2x2x2 = 2^7

Answer:

x=10

Step-by-step explanation:

work in the photo

Answer:

x=10

Step-by-step explanation:

Subtract 3 from both sides

2x=23-3

Simplify 23-3 to 20

2x=20

Divide both sides by 2  

x=  2 0/2

Simplify 20/2 to 10

x=10

​  

Answer:

(2mn+m+n)/2

Step-by-step explanation:

Answer:pls check out the image. The answer is in the image ans hope this helps and can u give me brainliest

Step-by-step explanation:

Answer:

a) x + 4 = 48

b) y + 16 = 44

Step-by-step explanation:

a) Michael has $28 and Craig has $24 less than Michael. Let x represent the amount of money that Craig has. Hence:

x = 68 - 24

x + 24 = 68

Given that Michael spends $20 on a new hat. Therefore we subtract 30 from both sides of the equation:

x + 24 - 20 = 68 - 20

x + 4 = 48

x = $44

b) If y represent the amount of money that Craig spent on buying socks. He has 16 remaining.

Therefore:

44 - y = 16

y + 16 = 44

y = $28

Answer:

11 inches

Step-by-step explanation:

7^2+8^2=c^2

49+64=c^2

113=c^2

square root both side

c=10.63014581

round up and get c=11

hope this helped :)

Answer:

2 × pi × radius

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

Answer:

BC= 2√5

CD= 2√10

DE= 2√5

BE= 2√10

slope of BC = 2

slope of CD = 1/3

slope of DE = 2

slope of BE = 1/3

Step-by-step explanation:

formula for distance = √(x2-x1)²+(y2-y1)²

formula for slope = (y2-y1)/(x2-x1)

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  ❘-270 - 30❘

Step-by-step explanation:

One score is -270 and the other is +30. The difference is either of ...

  |30 -(-270)|

or

  |-270 -30| . . . . . . matches choice A

Answer:

this question doesn't make sense

Answer:

2x² + 4x + 1

Step-by-step explanation:

Given the question :

4x^3+18x^2+22x+5 divided by 2x+ 5

Dividend = 4x^3+18x^2+22x+5

Divisor = 2x + 5

In other to ensure question is answered clearly and reasonably, the solution Using long division haa been worked out and attached as a picture

Answer:

3/2

Step-by-step explanation:

Answer:

m= 8/5

Step-by-step explanation:

Points on the graph: ( -4, -4) and (1, 4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4+4)/(1+4)

m= 8/5

Answer:

We will apply the formula of d=y- x/n+1

Let y be 2.2 and x be 2.1 and n= 16

Then 2.2-2.1/ 16+1

0.1/17

x+d= 2.1 + 0.1 = 2.2

x+2d= 2.1+2×0.1=2.3

x+3d= 2.1+3×0.1=2.4

x+4d= 2.1+4×0.1=2.5

x+5d=2.1+5×0.1=2.6

x+6d=2.1+6×0.1=2.7

x+7d=2.1+7×0.1=2.8

x+8d=2.1+8×0.1=2.9

x+9d=2.1+9×0.1=3

x+10d=2.1+10×0.1=3.1

x+11d=2.1+11×0.1=3.2

x+12d=2.1+12×0.1=3.3

×+13d=2.1+13×0.1=3.4

x+14d=2.1+14×0.1=3.5

x+15d=2.1+15×0.1=3.6

x+16d=2.1+16×0.1=3.7

Step-by-step explanation:

mark brainlyest plz it really helps

Answer:

Use photo math, it will explain it all in different forms

Answer:

permiter 68ft

area 204ft²

Step-by-step explanation:

25ft+26ft+17ft=68ft

1/2×17ft×24ft=204ft²

I hope it's help

Answer:

C

Step-by-step explanation:

Your answer is C this is just observation so no need for explanation

Answer:

Angle BAC = 62.35

Step-by-step explanation:

Here, we want to get the angle marked BAC

From the diagram, we have the angle ABC as 90

This is because angle at the center is twice the angle at the circumference

Furthermore, using the arc angle relationship;

angle ACB is half arc AB

so ACB angle is 55.3/2 = 27.65

mathematically;

Angle BAC + 27.65 + 90 = 180

This is because sum of angles in a triangle is 180

Thus;

angle BAC = 180-90 - 27.65

angle BAC = 62.35

Answer:

ok-

first thing to do is break the shapes into regular shapes that you already know how to figure the area of. so, #1 and #2 become an upright rectangle with a square attached to the bottom. #? is a rectangle with a semicircle at each end. #5 is a rectangle with a triangle up top... etc.

then, you figure the area of each part and add them all together.

let's look at #1:

right away, I see a square sticking off the right side that is 20x20- so that part is 400sq inches

then, I see the remainder as a rectangle that is 23x22.

23x22=506sq inches

then, add the 2 parts together.

506+400= 906sq inches total.

hope that helps!

Answer: 1 B  2 A

Step-by-step explanation:

Answer:

10 by 3

Step-by-step explanation:

When 4 by 3 water is sufficient to water 2 by 5 of the plants so the water i.e. required to water all the plants is 10 by 3

As here we multiply both the fractions by reciprocal the second fraction

So the water i.e. needed to water all plants is 10 by 3

Answer:

6y

Step-by-step explanation:

Our variable is y

We know that there are 6 people in each boat

Simply multiply 6 and y => 6y

1.SR

2. PQ AND PS  

3. QR

since isosceles has 2 sides that are equal then,

270 - 108 = 162

divide 162 by 2

162 ÷ 2 = 81

so, C

Answer:

A.)

Step-by-step explanation:

108 + 100 + 62 = 270

Answer:

£4.80

Step-by-step explanation:

Total amount =  £3.20

Ratio = 2 : 3

Old : New = 2 : 3

3.20 : x = 2:3

[tex]\frac{3.20}{x}=\frac{2}{3}\\\\3.20*3=2*x\\\\\frac{3.20*3}{2}=x\\\\x = 1.60 *3\\[/tex]

x = £ 4.80

Step-by-step explanation:

a÷b=960÷89=10.78651685=10.79 or 17.8

Answer:

n = 3

Step-by-step explanation:

plug in 3 for n in the equation:

Numerator: n + 1 = 3 + 1 = 4

Denominator: 2^n = 2^3 = 2 * 2 * 2 = 4 * 2 = 8

Simplify the fraction. Divide common factors from both the numerator and denominator:

(4/8)/(4/4) = 1/2

1/2 = 1/2 ∴ n = 3

~

Answer:

D

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the height )

Here V = 226 and r = 12 ÷ 2 = 6 , then

[tex]\frac{1}{3}[/tex]π × 6²h = 226 ( multiply both sides by 3 to clear the fraction )

3.14 × 36h = 678

113.04h = 678 ( divide both sides by 113.04 )

h = [tex]\frac{678}{113.04}[/tex] ≈ 6 m ( to the nearest metre )