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3 years ago

Is Angel 1: 60 and angle 2: 30 a complementary angle

Mathematics

2 answers:

Fed [463]3 years ago

7 0

Answer:

Yes

Step-by-step explanation:

They add up to 90 degrees.

PtichkaEL [24]3 years ago

4 0

Yes, Two Angles are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees.

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A light shines from the top of a pole 50ft high. a ball is dropped from the same height from a point 30 ft away from the light.

belka [17]

The speed of the ball is
ds/dt = 32t
At t =1/2 s
ds/dt = 16 ft/s
The distance from the ground
50 - 16(1/2)^2 = 46 ft
The triangles formed are similar
50/46 = (30 + x)/x
x = 345 ft

50 / (50 - s) = (30 + x)/x
Taking the derivative and substituing
ds/dt = 16
and
Solve for dx/dt

7 0

3 years ago

Simplify 4√16 + 8√16

Mumz [18]

$4\sqrt{16} + 8\sqrt{16}$ :

Since $\sqrt{1} =1$ , we get:

$4\cdot \:1\cdot \:6+8\cdot \:1\cdot \:6=24+48=72$

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$7\sqrt{4} *3\sqrt{8}$

We have $\sqrt{4}=2$

simplify $\sqrt{8} = \sqrt{2^3} = \sqrt{2^2*2}$

then the radical rule is used: $\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}$

⇒ $\sqrt{2^2*2} = \sqrt{2^2} \sqrt{2}= \sqrt{4}\sqrt{2} =2\sqrt{2}$

Now we have $\sqrt{4}=2$ and $\sqrt{8}=2 \sqrt{2}$

$7\sqrt{4} *3\sqrt{8} = 7*2*3*2\sqrt{2} = 84 \sqrt{2}$

-----------------------------------------------------------------------------------

$2\sqrt{4}+5 \sqrt{9}$

$2\sqrt{4} =2*2= 4$ and $5\sqrt{9} =5*3= 15$

$2\sqrt{4}+5 \sqrt{9} = 4+15 = 19$

-----------------------------------------------------------------------------------

$4\sqrt{5} -2\sqrt{5} = 2\sqrt{5}$

since $2\sqrt{5}$ is the half of $4\sqrt{5}$

-----------------------------------------------------------------------------------

$-4\sqrt{2}\:+\:5\sqrt{2} =1 \sqrt{2} = \sqrt{2}\\$ <em>(-4+5=1)</em>

4 0

2 years ago

Somebody help please....

Tems11 [23]

Answer:

4,096

Step-by-step explanation:

It goes like this 4 * -4=-16, 16*4=64, -64*4=256, etc.

You use the sum of the last number but flip the sin to make it opposite like if your some was + make it a negative to get your next product. Hope that made sense!!!!

5 0

2 years ago

Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the sit

Rasek [7]

Answer:

If Ted can clear a football field of debris in 3 hours, in one hour they will have cleared 1/3 of it.

If Jacob can clear a football field of debris in 2 hours, in one hour they will have cleared 1/2 of it.

So if they work together, they will clear 1/2 + 1/3, which is 5/6, in one hour.

So the equation we get is 5/6*x = 1 and if we divide both sides by 5/6 we get that x = 1.2 hours

6 0

2 years ago

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