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3 years ago

Find -3a divided by 6 when a=-2 write the answer in simplest form.

Mathematics

2 answers:

astraxan [27]3 years ago

5 0

The answer is 1 which it is the simplest form

zepelin [54]3 years ago

4 0

The equation you are solving is -3(-2) / 6

6 / 6

1 is your answer in simplest form.

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Write the number 347.85 in expanded form. a 3 + 100 + 4 x 10 + 7 x 1 x 8 x (1/100) + 5 x (1/100) b 3 x 100 + 4 + 10 + 7 x 1 + 8

SVEN [57.7K]

The answer will be C

8 0

3 years ago

Read 2 more answers

Prove it. this question is from trigonometry

konstantin123 [22]

Answer:

See below for step-by-step proof.

Step-by-step explanation:

$\textsf{Given expression}:$

$\cos^6 \theta+\sin^6 \theta$

$\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:$

$\implies (\cos^2 \theta)^3+(\sin^2 \theta)^3$

$\textsf{Use the identity}\quad a^3+b^3=(a+b)^3-3ab(a+b):$

$\implies (\cos^2 \theta+\sin^2 \theta)^3-3 \cos^2 \theta\sin^2 \theta (\cos^2 \theta+\sin^2 \theta)$

$\textsf{Use the identity}\quad \sin^2 \theta + \cos^2 \theta=1:$

$\implies (1)^3-3 \cos^2 \theta\sin^2 \theta (1)$

$\implies 1-3 \cos^2 \theta\sin^2 \theta$

$\implies 1-3 (\cos \theta\sin \theta)^2$

$\textsf{Use the identity}\quad \sin 2 \theta=2 \sin \theta \cos \theta \implies \dfrac{1}{2}\sin 2 \theta= \sin \theta \cos \theta:$

$\implies 1-3 \left( \dfrac{1}{2}\sin 2 \theta\right)^2$

$\implies 1-\dfrac{3}{4} \sin^2 2 \theta$

$\textsf{Use the identity}\quad \sin^2 2\theta + \cos^2 2\theta=1 \implies \sin^2 2\theta=1-\cos^2 2\theta$

$\implies 1-\dfrac{3}{4} \left(1-\cos^2 2 \theta\right)$

$\implies 1-\dfrac{3}{4} +\dfrac{3}{4}\cos^2 2 \theta$

$\implies \dfrac{1}{4} +\dfrac{3}{4}\cos^2 2 \theta$

$\textsf{Factor out }\dfrac{1}{4}:$

$\implies \dfrac{1}{4}\left(1+3\cos^2 2 \theta\right)$

$\textsf{Use the identity}\quad \cos (4 \theta)=2 \cos^2 2\theta - 1 \implies \cos^2 2 \theta=\dfrac{1}{2}\cos 4 \theta+\dfrac{1}{2}:$

$\implies \dfrac{1}{4}\left(1+3\left(\dfrac{1}{2}\cos 4 \theta+\dfrac{1}{2}\right)\right)$

$\implies \dfrac{1}{4}\left(1+\dfrac{3}{2}\cos 4 \theta+\dfrac{3}{2}\right)$

$\implies \dfrac{1}{4}\left(\dfrac{5}{2}+\dfrac{3}{2}\cos 4 \theta\right)$

$\implies \dfrac{1}{4} \cdot \dfrac{1}{2}\left(5+3\cos 4 \theta\right)$

$\implies \dfrac{1}{8}\left(5+3\cos 4 \theta\right)$

6 0

2 years ago

which of the following correctly explains why the formula for the circumference of a circle is 2 pi r. Pi is defined as the rati

Kobotan [32]

Let
C---------> the circumference of a circle
D---------> diameter of a circle
r----------> radius of a circle

we know that
C=2*pi*r
D=2*r
so
C=D*pi-------------> pi=C/D
<span>Pi is defined as the ratio of the circumference of a circle to the diameter of that Circle
when you multiply the diameter in both numerator and denominator
pi*D=(C/D)*D------> pi*D=C
and the diameter is two times the radius
so
D=2*r
C=pi*D------> C=pi*(2*r)-----> C=2*pi*r

therefore

the answer is the option D
</span>Two times r equals the diameter of the circle. Pi equals the circumference divided by the diameter. When you multiply, the diameter is in both the numerator and the denominator, which cancels out, leaving the circumference

8 0

4 years ago

Read 2 more answers

What is the value of arcsin (-0.18)? Use a calculator to determine the answer.

Alla [95]

The answer for the problem is A.

6 0

4 years ago

Read 2 more answers

Help please? I don't understand..!

jeka57 [31]

Slope height = 12^2 + 5^2 = X^2
144 + 25 = x^2
169 = x^2
X = sqrt(169) = 13
slope height = 13 cm

area of 1 side = 1/2 x 13 x 10 = 65 cm^2
area of 4 sides = 65 *4 = 260 cm^2

area of sides & bottom:
sides = 260
bottom = 10^2 = 100
260 +100 = 360 cm^2

8 0

3 years ago