how prove the following
cos²(120°-A) + cos²A + cos²(120°+A)= 3/2
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The goods that money can buy include soap, bag, shoe, radio, television etc. The services that can be gotten include barbing, teaching, tailoring, catering, auditing etc.

Money is important in our everyday lives. We use money to make purchases of goods and it serves as a medium of exchange.

We can use money to buy goods like shoes, jewelry, radio, phone, bag, etc. When we need services such as barbing of our hair, teaching, tailoring, catering, auditing etc, we can make the purchase through money and the services will be given to us.

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Answer:

2√5

Step-by-step explanation:

hypotenuse of the second triangle = √(9²-5²)

= 2√14

so,

x = √{(2√14)²-6²}

= 2√5

Answer:

2sqrt(5)

Step-by-step explanation:

The left triangle is a right triangle so we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs  and c is the hypotenuse

5^2 + b^2 = 9^2

b^2 = 9^2 - 5^2

b^2 = 81-25

b^2 =56

Taking the square root of each side

b = sqrt(56) = sqrt(4*14) = 2 sqrt(14)

The right side is also a right triangle so we can  use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs  and c is the hypotenuse

x^2 + 6^2 = (sqrt(56))^2

x^2 +36 = 56

x^2 = 56-36

x^2 = 20

Taking the square root

sqrt(x^2) = sqrt(20) = sqrt(4*5) = 2sqrt(5)

Answer:

The additive inverse of -61 is 61. For additive inverse just reverse the sign.

Using pythagorean theorem

[tex]\\ \sf\longmapsto B^2=H^2-P^2[/tex]

[tex]\\ \sf\longmapsto x^2=13^2-5^2[/tex]

[tex]\\ \sf\longmapsto x^2=169-25[/tex]

[tex]\\ \sf\longmapsto x^2=144[/tex]

[tex]\\ \sf\longmapsto x=\sqrt{144}[/tex]

[tex]\\ \sf\longmapsto x=12[/tex]

Answer:

x = 12

Step-by-step explanation:

→ State Pythagoras theorem

a² + b² = c²

→ Rearrange to make b the subject

b² = c² - a²

→ Square root everything

b = √c² - a²

→ Substitute in the numbers

b = √13² - 5²

→ Simplify

b = 12

Answer:

around 4.1

Step-by-step explanation:

Using Pythaogrean theorem we get sqrt 32 or 4sqrt2 for the diagonal of the square.

To get x we can use Pythagorean theorem again to set up an equation,

32 + x^2 = 49

This gives us x = sqrt17, which is approximately 4.1231 or around 4.1

Answer:

Step-by-step explanation:

Answer:

It's 5 which is A.

Step-by-step explanation:

Answer:

B0 A = 9 Pi

Step-by-step explanation:

c = 6 Pi (given)

c = Pi 2r (standard formula)

r = c / (2 Pi)

r = 6 Pi / (2 Pi) = 3 (substitute 6 Pi for c)

So

A = Pi r**2

A = Pi 3**2

A = 9 Pi

Answer:

Step-by-step explanation:

Im gonna guess C, not sure. good luck tho

Step-by-step explanation:

here ,

length = 8m

height=4m

Rate of plastering 4 walls = 15/m^2

Cost of plastering 4 wall = Rs 1560

Area of floor = Cost of plastering / Rate of plastering

= 1560/15

= 104

again,

Area of four wall = 2h(l+b)

or, 104= 2×4(8+b)

or, 104 =8(8+b)

or, 104/8=8+ b

or,13 - 8= b

or, b= 5

again,

Area of floor= l×b

= 8×5

= 40

again,

Rate of carpeting the floor= 300/ m^2

Area of floor = 40 m^2

cost of carpeting=Rate × Area

= 300×40

= 12000

Answer:

Step-by-step explanation:

Number cube:

Coin:

Required probability:

Answer: Probability of rolling a number more than one: 5/6

Probability of heads: 1/2

Probability of both: 1/2 + 5/6 = 4/3

Step-by-step explanation:

Answer:

B

SOH-CAH-TOA

Sin= opp/hyp

Step-by-step explanation:

Answer:

total number of marble=22

probability of picking 1 blue marble= 1/22

=45×10^-2

probability of getting a green ball= 5/21

= 238×10^-3

Answer:

Jaylen's conclusion is not valid because association does not imply causation.

Step-by-step explanation:

Hi

.... then it is  located on the perpendicular bisector.

Answer:

True

Step-by-step explanation:

We actually can use Sine, Cos, or Tangent to solve for the angles, which would give the angle, but graphing it came up with an Obtuse Scalene triangle.

Answer:

Total number of strikeouts:

Total number of at bats:

Hits = times - strikeouts:

Percentage:

Answer:

air = 95 mph

plane = 824 MPH

Step-by-step explanation:

6(x-y) = 4374

6(x+y)= 5514

6x - 6y = 4375

6x + 6y = 5514

12x = 9889

x = 824 mph

y = 95 mph

Answer:

c

Step-by-step explanation:

i think this is the greatest because if you solve all of the expressions you will find out that this is the greatest.

a.4×-5=-20

b.-5+4=-1

c.-4-(-5)=1

therefore 1 is the greatest so the expression c is the greatest.

I hope this helps

Answer:

The common for the second question is 30

Answer:

39/30 Here 30 will be common in denominators

Step-by-step explanation:

6/15×2/2=12/30

3/10×3/3=9/30

3/5×6/6=18/30

= 12/30+9/30+18/30

39/30

Answer:

2000 milligrams —> 2 grams

6000 milligrams —> 6 grams

7000 milligrams —> 7 grams

10000 milligrams —> 10 grams

I hope I helped you^_^

Step-by-step explanation:

Let SP1 be x

P%=10%

CP=SP×100/100+%P

= x+100/100+10

= 100x/110

SP2= x+55

CP= SP×100/100+%P

or 100x/110= x+55×100/120

or x/110=x+55/120

or 24x-22x=22×55

or 2x=1210

or x=1210/2

or x=605

Now,

CP=100x/110

=100×605/110

=60500/110

=Rs 550

Answer:

x=1

Step-by-step explanation:

x-1/(x+1)(x-5)

When the numerator is equal to zero and the denominator is not equal to zero

x-1= 0

x=1

Answer:

A

Step-by-step explanation:

for a function there is only 1 output value for every input and the first option is the only one which meets that requirement

Answer:

Step-by-step explanation:

In order to find the area of the circle base, we need the radius, and we don't have it. We'll use the volume to find the radius, as follows:

[tex]V=\frac{1}{3}\pi r^2h[/tex] and fill in the givens:

[tex]75=\frac{1}{3}\pi r^2(5)[/tex] and solve that for r;

[tex]r=\sqrt{\frac{3(75)}{5\pi} }[/tex] so

r = 3.784698783 and plug that in for the radius to find the area of the circle base:

[tex]A=\pi r^2[/tex] so

[tex]A=\pi (3.784698783)^2[/tex] gives you that

A = 45 meters squared, exactly. No decimal.

Answer:

8√3 ≈ 13.86

Step-by-step explanation:

6√2 - 4√3 + | 3√(2²•2) -8√3 | + 2√2²•3

Every 2² get our from the square root and loses the ² :

6√2 -4√3 + | 2•3√2 -8√3 | + 2•2√3

Solve the multiplications and taking of the | | , the signal inside it changes:

6√2 - 4√3 +8√3 -6√2 +4√3

Now you group the similar terms and solve the possible operations:

6√2 - 6√2 +4√3 - 4√3 + 8√3

8√3 ≈ 13.86

Step-by-step explanation:

4(3_/2-2_/3)

SEE the IMAGE for Solution

Answer:

£200

Step-by-step explanation:

4 friends - 4 tickets

They need to BUY 3 tickets.

3 tickets will cost £1200

Divide the £1200 between the 4 friends which is £300.

They will then get the other 1 ticket for free and have 4 altogether!