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FinnZ [79.3K]
2 years ago
11

If sintheta = cos theta then the value of acute angle is ​

Mathematics
1 answer:
Lelu [443]2 years ago
3 0

Answer:

45 degrees

Step-by-step explanation:

Here, we want to get the value of the acute angle

From the question, we have it that the sin of the acute angle equals its cosine

Recall;

cos A = sin (90-A)

Hence, if A is 45, then Cos A and Sine A will be the same

This means the value of theta which is the acute angle is 45 degrees

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GrogVix [38]
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2 years ago
Need some help with multiplying algebraic fractions
Nezavi [6.7K]

Answer:

a=10, b=5, c=2, d=12

Step-by-step explanation:

Multiply each variable together

5*2=10

8*3=24

10x^{3}y^{2}/24x

the coefficients (numbers) can each be divided by 2

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subtract the "x" exponents together

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8 0
2 years ago
What are all the expressions that are exquivalent to 5x(x+6)+3x
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2 years ago
A backyard pool has a concrete walkway around it that is 3 feet wide on all sides. The total area of the pool and the walkway is
Gnoma [55]

Answer:

<h2><em>29.4 length and 21.4 width.</em></h2>

Step-by-step explanation:

To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that <em>W </em>is the width and <em>L </em>the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total area can be expressed like this:  A_{total} = (L+6)(W+6).

In addition, we know that the total area is 970 and the length is 8 ft longer than the width (L=W+8). So:

A_{total} = (L+6)(W+6)\\970 = (W+8+6)(W+6)\\970=W^{2}+20W+84\\W^{2}+20W-886=0

With this quadratic equation we're gonna have to solution, the most reasonable is part of the answer. So, solving the equation we have as solutions: W_{1}=21.4 and  W_{2}=-41.4

Therefore, the width is 21.4 ft, because the negative number cannot represent distances.

Using the relation between length and width:

L=W+8\\L=21.4+8=29.4

<em>Therefore, the dimensions of the pool are 29.4 length and 21.4 width.</em>

7 0
3 years ago
The metro theater has 20 rows of seats with 18 seats in each row. Tickets cost $5. The theaters income in dollars if all seats a
jarptica [38.1K]
<span>In a Metro there are:
20 rows of seats
18 seats in a row
and $5 per ticket

Using commutative property of Multiplication:
Therefore.
=> (20 x 18) x 5 = 5 x (18 x 20)
=>  360 x 5 = 5 x 360
=> 1800 = 1800

Therefore, they have $1800 income.</span>



8 0
2 years ago
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