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Law Incorporation [45]
2 years ago
12

Cos2a.cos3a-cos2a.cos7a/sin4a.sin3a-sin2a.sin5a ​

Mathematics
1 answer:
Dmitrij [34]2 years ago
5 0

Answer is -28.37

Step-by-step explanation:

from the numerator cos 2a×cos 3a - cos 2a×cos7a= cos6a^2 -cos 14a^2

= -cos8a^2 for the numerator

from the denominator;

sin4a×sin3a-sin2a×sin5a= sin12a^2 -sin10a^2

= sin2a^2

therefore, combining the equation it gives; -cos8a^2/sin2a^2

a^2 will divide each other,

= -cos8/sin2.

from the calculator,

= - 0.9903/0.0349

= -28.37

You might be interested in
A particular rocket taking off from the earth surface uses fuel at a constant rate of 12.5 gallons per minute the rocket initial
faltersainse [42]

Answer:

y=12.5x+225

Step-by-step explanation:

Let

x ----> the number of minutes

y ----> the amount of fuel in gallons

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the unit rate or slope

b is the y-intercept or initial value

we have that

The unit rate or slope is equal to

m=12.5\ \frac{gal}{min}

b=225\ gal ----> initial value (value of y when the value of x is equal to zero)

substitute

y=12.5x+225

3 0
2 years ago
Without using a calculator, choose the statement that best describes the value of the square root of 46
allochka39001 [22]

Answer:

The value of √46 is between 6.5 and 7.

Step-by-step explanation:

We can use perfect squares to solve this problem.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

A square root reverses the squaring operation. Therefore, if we take the square root of 49, we will get 7.

So, because 46 fits in the interval 36 < 46 < 49, we can solve this problem.

√36 = 6

√46 = ?

√49 = 7

Therefore, using this information, we can see that clearly the value of 46 is closer to 49, meaning that the square root of 46 is between 6.5 and 7.

4 0
2 years ago
An iPhone costs £699 in London, €799 in Paris and $1,099 in New York. Using £1 = €1.13 and £1 = $1.37, state the lowest price of
Alex787 [66]

Answer:

£699 in London

£902.87 in Paris

£1505.63 in New York

The lowest price of the iPhone is £699 in London.

3 0
1 year ago
The point (–1, 0.5) lies on the graph of f –1(x) = 2x. Based on this information, which point lies on the graph of f(x) = log2x?
Taya2010 [7]
<span>(0.5, -1)
   f^-1(x) and f(x) are inverse functions of each other. That means that for all x, f^-1(f(x)) = x and f(f^-1(x)) = x. So for f^-1(x) we've been given the point (-1, 0.5) which means that we have an x value of -1 and a y value of 0.5. So if we swap the x and y values, we'll have a valid point for function f(x). Therefore an x value of 0.5 and a y value of -1 will work. So the answer is (0.5, -1). Notice that no math has to be done, you just need to know the meaning of inverse functions.</span>
6 0
2 years ago
Read 2 more answers
Given: m∠ATB = 63°, arc AB = 115° Find: arc DC
Flura [38]

Answer:

The measure of arc DC is 11\°

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

m\angle ATB=\frac{1}{2}[arc\ AB+arc\ DC]

substitute the given values

63\°=\frac{1}{2}[115\°+arc\ DC]

126\°=[115\°+arc\ DC]

arc\ DC=126\°-115\°=11\°

6 0
2 years ago
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