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Sloan [31]
3 years ago
9

What is the relationship between sin(90 degrees) and sin(-90 degrees)

Mathematics
1 answer:
Volgvan3 years ago
4 0

Answer:

sin(90\°)=-sin(-90\°)

Step-by-step explanation:

we know that

sin(90\°)=1

sin(-90\°)=-1

therefore

sin(90\°)=-sin(-90\°)

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If the radius of circle A is 6 units, calculate the area of the shaded region...
meriva

The formula of an area of a triangle:

A_{\triangle}=\dfrac{base\cdot height}{2}

We have:

\triangle_{FDE}:\ base=height=1\\\triangle_{GDH}:\ base=height=9

substitute:

A_{\triangle_{FDE}}=\dfrac{1\cdot1}{2}=0.5\\\\A_{\triangle_{GDH}}=\dfrac{9\cdot9}{2}=40.5

The formula of an area of a circle:

A_O=\pi r^2

We have r=6

Substitute:

A_O=\pi\cdot6^2=36\pi\approx36\cdot3.14=113.04

The area of the shaded region

A=A_O-(A_{\triangle_{FDE}}+A_{\triangle_{GDH}})\\\\A=113.04-(0.5+40.5)=113.04-41=72.04\ u^2

4 0
3 years ago
At the park there is a pool shaped like a circle. A ring-shaped path goes around the pool. Its inner diameter is 22yd and its ou
jeka94
First, we need to think about what we're actually solving for: the area of the path. To find this, we can find the area of the whole thing, minus the area of the pool.

The diagram would look something like the picture I attached. We know that to find the area of a circle, you do πr^2. The radius is half of the diameter, so halve the diameters:

22/2 = 11 yards
32/2 = 16 yards

Then solve for the area of both circles.
π11^{2}= 121π ≈ <span>380.13 (area of the pool)</span>
π16^{2}= 256π ≈ <span>804.25 (area of the whole thing)
</span>
Next, subtract the area of the pool from the area of the whole thing to find the area of the walkway:
804.25 - 380.13 = 424.12 (area of the walkway)

Finally, divide the area of the walkway by 6 to see how many gallons of paint you'll need:

424.12 ÷ 6 ≈ 70.69

So you'll need 71 gallons of paint!

Hope I helped and let me know if you have any questions :)


6 0
4 years ago
Merlin wants to make more money selling fake beards this month than he did last month. All black beards in his shop cost the sam
sukhopar [10]

We know that all black beards cost the same money

And all red beards cost $25

And B represents number of black beards

And R represents number of red beards

We have been given the inequality 20B+25R > 350 to show the target for this month.

The above inequality shows that Merlin needs to make more than 350, hence he made 350 last month

Further, it shows that B has been multiplied by 20, hence the black beard's cost was 20

8 0
3 years ago
Read 2 more answers
Anthony, William, Christopher and Mathew are sharing 4 hats: red, green blue and gold. If Anthony doesn't wear red, william does
pogonyaev
3 ways
1st way: Anthony- Gold William-Red Christopher-Green Mathew-Blue

2nd way: Anthony- Blue William-Gold Christopher-Red Mathew-Green

3rd way: Anthony-Green William-Blue Christopher-Gold Mathew-Red
7 0
2 years ago
Passes through (3,-6) and (-1,2) slope intercept form?
IRISSAK [1]

Answer:

2/1

Step-by-step explanation:

8/4 which is also 2/1

7 0
3 years ago
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