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ozzi
3 years ago
13

3.) Simplify the expression.

Mathematics
1 answer:
Bogdan [553]3 years ago
6 0

Answer:

Option C) -cosu is correct

Therefore the simplified expression is cos(u+\pi)=-cosu

Step-by-step explanation:

Given expression is cos(u+\pi)

To find the value of the given expression :

By using the formula cos(A+B)=cosAcosB-sinAsinB

Substitute A=u and B=\pi in the above formula we get

cos(u+\pi)=cosucos\pi-sinusin\pi

=cosu(-1)-sinu(0)  ( here cos\pi=-1 and sin\pi=0 )

=-cosu-0

=-cosu

cos(u+\pi)=-cosu

Therefore option C) -cosu is correct

Therefore the simplified expression is cos(u+\pi)=-cosu

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There are 2.54 Centimeters in 1 inch how many inches are there in 51.7 centimeters round your answer to the nearest thousandths
SOVA2 [1]

Answer:

20.354 inches

Step-by-step explanation:

1 inch = 2.54 cm

We have 51.7 cm



51.7 cm      1 inch

----------- * -----------          = 20.35433071 inches

1                  2 .54 cm


We need to round to the nearest thousandths  (3 decimal places)

20.354 inches

6 0
3 years ago
2 Points
kirill [66]

Answer:

50.24 yd^2

Step-by-step explanation:

The area of a circle can be found using:

a=\pi r^{2}

First, we need to find the radius. We have the diameter. The diameter is twice the radius, or

d=2r

We know that the diameter is 8, so we can substitute 8 in for d

8=2r

Since we are trying to find r, we need to get r by itself. To do this, divide both sides by 2.

8/2=2r/2

4=r

Now we know the radius, and can substitute 4 in for r. Also, we can substitute 3.14 in for pi.

a=\pi r^{2}

a=3.14*4^2

Solve the exponent

a=3.14*16

Multiply

a=50.24

The area is 50.24 yards^2

8 0
3 years ago
3.9x - 0.7 = 8.66, so what does x equal?
scoundrel [369]

Answer:

x=2.4

Step-by-step explanation:

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6 0
2 years ago
Read 2 more answers
Line MN passes through points M4, 3) and M7, 12). If the equation of the line is written in slope-intercept form, y-mx+ b, what
Butoxors [25]

Answer:

<h2>b = -9</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points M(4, 3) and N(7, 12). Substitute:

m=\dfrac{12-3}{7-4}=\dfrac{9}{3}=3

Therefore we have the equation:

y=3x+b

Put the coordinates of the point M to the equation:

3=3(4)+b

3=12+b            <em>subtract 12 from both sides</em>

-9=b

4 0
3 years ago
During a certain six-year
daser333 [38]
I am sorry but this is incomplete. If you would like to PM me the full question I would love to help?
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3 years ago
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