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3 years ago

8

The concept of volume is something you experience everyday in your life. Provide a specific example in which you could solve a r

eal-world application using volume.

1 answer:

Tju [1.3M]3 years ago

4 0

Filling a gardening bed with dirt

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Verify the identity. cos (x - y) - cos (x + y) = 2 sin x sin y

nignag [31]

Let's start from the left side, and manipulate it to get the right side, which would prove the identity.

We know that:

i) $\displaystyle{ \cos(x-y)=\cos x \cos y+\sin x \sin y$

ii) $\displaystyle{ \cos(x+y)=\cos x \cos y-\sin x \sin y$ .

From the above fundamental identities, we can rewrite the left hand side as:

$\displaystyle{ \cos x \cos y+\sin x \sin y-(\cos x \cos y-\sin x \sin y)=$

$\displaystyle{ \cos x \cos y+\sin x \sin y-\cos x \cos y+\sin x \sin y=2\sin x \sin y$ ,

which is what we needed to show.

5 0

3 years ago

The terminal side of an angle in standard position passes through P(–3, –4). What is the value of ?

Andrej [43]

Answer:

well the answer is 15,8

Step-by-step explanation:

yocopy and paste it on brainly

8 0

3 years ago

Find the equation of the line that passes through (−3, 2) and the intersection of the lines x+2y=0 and 3x+y+5=0.

nadezda [96]

Answer:

The equation of the line is y + x + 1 = 0.

Step-by-step explanation:

The given equations are : x + 2y = 0 and 3x + y + 5 = 0

Now, finding the intersection point of the above system:

from (1) , x = -2y

put in (2), 3 (-2y) + y + 5 = 0

or, 5y = 5 ,or y = 1

If y = 1, pitting in (1), x = -2

So, the intersection lines is (-2,1).

the other point on line is (-3,2)

Now, finding the slope m of the line : $m =\frac{y_2 -y_1}{x_2 - x_1} =\frac{2 -1}{-3 - (- 2)}$

or, $m = -\frac{1}{1}$ = -1

So, by POINT SLOPE FORM: the equation of a line is

(y - y0) =m (x -x0),

now for (-3,2) : equation is ( y - 2) = (-1) (x +3)

or, y + x + 1 = 0

Hence, the equation of the line that passes through (−3, 2) and the intersection of the lines x+2y=0 and 3x+y+5=0 is y + x + 1 = 0.

6 0

3 years ago

Read 2 more answers

Between which two consecutive integers does 249 lie?

GREYUIT [131]

If you are looking for the sum of two consecutive integers, there is a quick way to get the answers. Divide the number by two and you will find your answers.
249/2 = 124.5
Your two consecutive numbers are 124 and 125.
124 + 125 = 249.
If you mean by the square root of 249, your answers are 15 and 16; 15^2 = 225, 16^2 = 256. I hope this helps!

5 0

3 years ago

A coin is tossed 4 times and the sequence of heads and tails is observed list each of the 16 sequence in the outcome space o

SVETLANKA909090 [29]

HHHH
HHHT
HHTH
HHTT
HTHH
HTHT
HTTH
HTTT
TTTT
TTTH
TTHT
TTHH
THHH
THHT
THTH
THTT

7 0

4 years ago