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3 years ago

Can someone please help me on this?

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

5 0

Answer:

The surface area of the green prism is 2.5 times greater than the surface area of the blue prism

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I don’t understand how to do this

schepotkina [342]

Answer:

The solution is $x =0.$

Step-by-step explanation:

The equation

$\bold{(1).}\: sin(\dfrac{3\pi }{2} +x)+sin(\dfrac{3\pi }{2} +x) =-2$

can be rewritten as

$2* sin(\dfrac{3\pi }{2} +2) =-2$

and can be further simplified to

$sin(\dfrac{3\pi }{2}+x ) =-1$ .

Now, taking the inverse sine of both sides we get:

$sin^{-1}(sin(\dfrac{3\pi }{2} +x) =sin^{-1}(-1)$

$\bold{(2).}\: \dfrac{3\pi }{2} +2 =sin^{-1}(-1)$

The value of the right side on the interval $[0,2\pi)$ is

$sin^{-1}(-1) = \dfrac{3\pi}{2} \: \:( \text{or }270^o)$ ,

which makes the equation (2)

$\dfrac{3\pi }{2}+x =\dfrac{3\pi}{2}$

solving for $x$ gives

$\boxed{x = 0}$

which is our solution.

4 0

3 years ago

A car travels at an average speed of 48 miles per hour. How long does it take to travel 180 miles?

Sonja [21]

Answer:

3 hours and 45 minutes

Step-by-step explanation:

mark me a brainliest answer

4 0

3 years ago

A bag contains red, green, and yellow marbles. The probability of selecting a red marble is 35%. What is the probability of not

KonstantinChe [14]

Probablity of selecting a red marble= 35%

Probablity of not selecting a red marble= 100%-35%

=65%

Hope it helps you. Please mark brainliest.

6 0

3 years ago

Find the distance between the two points.<br> (-6, -7) and (154, - 43)

Vitek1552 [10]

Answer:

(160, 36)

Step-by-step explanation:

Distance is always positive because, well, you aren't -50 meters away from your house or something. You are just 50 meters away from your house. And 160 is the distance between -6 and 154, because there is one minus and one plus, you add them, because that is how far they are apart, and then-43 and -7 were easy just subtract them.

8 0

3 years ago

MULTIPLE CHOICE

Nina [5.8K]

Answer:

-2,-2 minimum

Step-by-step explanation:

I just had a test on this

minimum because it is a minimum point it starts at the bottom

-2,-2 that is where the vertex is which is the point at the minimum

3 0

3 years ago