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Murljashka [212]
3 years ago
10

Re-write the quadratic function below in Standard Form y= 6(x−9)2−3

Mathematics
1 answer:
Pie3 years ago
4 0

y = 6 {x}^{2}   - 108x + 483
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The diagram shows the entrance to a tunnel.
gladu [14]

Step-by-step explanation:

it filled up half the circle (up to the center point) - if we had a full circle. but a little bit is cut off (below AB).

what we see is that the shaded area is the sum of the area of the triangle AOB and 2 equally sized circle segment areas left and right of AOB.

since we are dealing with a half-circle, we have 180° in total. 120° are taken by AOB, so, that leaves us with 180-120 = 60° for both circle segments (so, one has an angle of 30°).

and 2×30° = 1×60°, so we can calculate the area of one 60° segment instead of two 30° segments.

AOB is an isoceles triangle (the legs are equally long, and therefore also the 2 side angles are equal).

the area of this triangle AOB is

1/2 × a × b × sin(C) = 1/2 × 3 × 3 × sin(120) =

= 3.897114317... m²

a circle segment area of 60° is 60/360 = 1/6 of the full circle area (as a full circle = 360°).

so, it's area is

pi×r² × 1/6 = pi×3²/6 = pi×3/2 = 4.71238898... m²

so, the total area of the shaded area is

3.897114317... m² + 4.71238898... m² =

= 8.609503297... m²

5 0
2 years ago
What is the least common multiple of 9 and 8
leonid [27]

Answer:

72 is the least common multiple

6 0
3 years ago
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when Apple sells their iPads they increase the price $50 from what it cost then to actually make the iPads one Apple Store sold
Anvisha [2.4K]
First things you have to do is figure out how much they increased the iPads by:

$50 • 10 = $500

They increased the iPad price by $500.

Subtract the total amount from the iPad price:

$5,000 - $500 = $4,500

The actual price of 10 iPads, without an increase is $4,500

Now divide that by 10 to get the amount for one iPad:

$4,500 ÷ 10 = $450

One iPad actually costs $450 to make.
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3 years ago
What is the 8th term of the linear sequence below?<br> 6,13,20,27,34,...
dangina [55]
Answer: 55

Step-By-Step Explanation:
3 0
3 years ago
Asking again, will give brainiest !
Dima020 [189]

Answer:

add them

Step-by-step explanation:

got it righttt

5 0
3 years ago
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