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4 years ago

Consider the following sets.

2 answers:

6 0

A = {x ≥ 3}, B = {x ≤ 1}

So A∪B = {x ≥ 3 or x ≤ 1}

So for x ⊆(1,3), A∪B = ∅

Apparently, (1,3) covers the first option, a will be the answer

Alex73 [517]4 years ago

6 0

Answer:

A. 2 < x < 3

Step-by-step explanation:

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Determine which expression has the greater value: 40-16 +10 or -20 + 18 + 30?

Paul [167]

Answer:

40-16+10

Step-by-step explanation:

40-16+10= 34

-20+18+18= 28

the greater answer is 40-16+10

8 0

4 years ago

A farmer wants to find out the average number of apples produced by the apple trees in his orchard. Which could be a sample of t

strojnjashka [21]

The amount of trees the farmer has and how much he harvest on average

7 0

3 years ago

A circular mirror is surrounded by a square metal frame. The radius of the mirror is 5x. The side length of the metal frame is 1

Aleks04 [339]

Answer:

$-25x^{2} (\pi -9)$

Step-by-step explanation:

The area of the metal frame is equal to the area of the square minus the area of the circle.

The area of the square is the side length squared:

$(15x)^{2}$

$=225x^{2}$

The area of the circle is $\pi r^{2}$ , with $r$ being the radius:

$\pi (5x)^{2}$

$=\pi *25x^{2}$

$=25\pi x^{2}$

Now find the area of the metal frame:

$225x^{2} -25\pi x^{2}$

$25x^{2} (9-\pi )$ Factor out the GCF, $25x^{2}$

$-25x^{2} (\pi -9)$ Factor out a $-1$

5 0

3 years ago

What is the value of m?<br> 1<br> _m =12-m<br> 3

alexdok [17]

$\bf \cfrac{1}{3}m=12-m\impliedby \textit{now, if we multiply both sides by }3
\\\\\\
\boxed{3}\cdot \cfrac{1}{3}m=\boxed{3}\cdot 12-\boxed{3}\cdot m\implies m=36-3m\implies 4m=36
\\\\\\
m=\cfrac{36}{4}\implies m=9$

8 0

3 years ago

Simplify tan theta times sin theta

daser333 [38]

Answer:

tan θ × sin θ

From trigonometric identities

$\tan(θ) = \frac{ \sin(θ) }{ \cos(θ) }$

So we have

$\frac{ \sin(θ) }{ \cos(θ) } \times \sin(θ)$

We have the final answer as

$\frac{ \sin(θ)^{2} }{ \cos(θ) }$

Hope this helps you

7 0

4 years ago