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makvit [3.9K]
3 years ago
14

49 – 3m = 4m + 14 please help

Mathematics
1 answer:
Alex777 [14]3 years ago
3 0

Answer:

m=5

Step-by-step explanation:

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Q.23 Prove that: (sin4A - cos4A + 1) = 2sin2A
FrozenT [24]

Answer:

Step-by-step explanation:

I think you have the question incomplete, and that this is the complete question

sin^4a + cos^4a = 1 - 2sin^2a.cos^2a

To do this, we can start my mirroring the equation.

x² + y² = (x + y)² - 2xy,

This helps us break down the power from 4 to 2, so that we have

(sin²a)² + (cos²a)² = (sin²a + cos²a) ² - 2(sin²a) (cos²a)

Recall from identity that

Sin²Φ + cos²Φ = 1, so therefore

(sin²a)² + (cos²a)² = 1² - 2(sin²a) (cos²a)

On expanding the power and the brackets, we find that we have the equation proved.

sin^4a + cos^4a = 1 - 2sin^2a.cos^2a

4 0
3 years ago
1 - (9 – 4) : 5 =<br> Please someone help
Norma-Jean [14]

Answer:

-4 = 5

Step-by-step explanation:

9-4=5

1-5=-4

-4:5

3 0
3 years ago
Robert is lying on the ground, looking at the top of a flagpole. The angle of elevation to the top of the flagpole is
NeTakaya

Answer:

Height of flagpole = 571 ft

Step-by-step explanation:

Given:

Angle of elevation to the top of the flagpole is 55° .

Distance from the eyes to the base of flagpole = 400 ft.

To find the height of the flagpole.

Solution:

We can draw the situation as a right triangle as shown below.

In triangle ABC.

BC=400\ ft

∠C= 55°

To find the length AB (height of the flagpole).

Applying trigonometric ratio :

\tan\theta=\frac{Opposite\ side}{Adjacent\ side}

\tan C=\frac{AB}{BC}

Plugging in values.

\tan 55\°=\frac{AB}{400}

Multiplying both sides by 400.

400\tan 55\°=\frac{AB}{400}\times 400

571.26=AB

∴ AB\approx 571\ ft

Height of flagpole = 571 ft

6 0
3 years ago
A football stadium is capable of seating a maximum of m fans. For each game, the
klasskru [66]

Answer:

The revenue depends on the number of people n that purchases tickets, knowing that each ticket costs $30.00, the total revenue will be:

f(n) = $30.00*n

Now, we also know that the stadium is capable of seating a maximum of m fans, so the maximum possible value for n is m.

Now, for the function f(n), we have that:

The domain is the set of the possible values of n

The range is the set of the possible values of f(n).

We want to find the domain.

First, the minimum possible value of n is 0, the case where nobody purchases a ticket.

The maximum possible value of n is m, this is the case where the stadium is full.

Then the domain will be:

D= {n,m ∈ Z, 0 ≤ n ≤ m}

Where we imposed that n must be an integer number because n represents a whole quantity.

5 0
2 years ago
The directions on a bottle of vinegar say mix 1 cup of vinegar with 1 gallon of water to make a cleaning solution the ratio of v
ale4655 [162]

Answer:

Step-by-step explanation:

"mix one cup of vinegar with one gallon of water"

 

1 cup = 8oz; one/4 cup = 2oz

You can see that quantity|the quantity|the number} of vinegar is 1/4 of the first amount,

 

so, we are going to would like 1/4 of the number of water, that is 1gallon = 128oz

 

so, 1/4 times 128oz = 32oz, that is one quart

 

Algebraically, 8oz : 128oz = 2oz : x

8x = 256; x = 32oz

5 0
3 years ago
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