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Hatshy [7]
3 years ago
11

NEED ANSWER ASPA.... PLS HURRY

Mathematics
1 answer:
a_sh-v [17]3 years ago
5 0
We have that
y=- x^{2} +36

we know that
Is the equation of a vertical parabola open down
so
the vertex is a maximum

step 1
convert the equation of the parabola in the vertex form
y=- x^{2} +36 \\ y-36=- x^{2}

the vertex (h,k) is the point (0,36)

Part a) The point on the graph where the height of the tunnel is a maximum is (0,36)

Part b) The points on the graph where the height of the tunnel is zero feet is when y=0
so
for y=0
- x^{2} +36=0 \\ x^{2} =36 \\ x= (+/-) 6

the points are (-6,0)  and (6,0)

see the attached figure 

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In the given figure p=120° and y : z=2 : 3 Find x, y and z​
Sindrei [870]

Answer:

x = 60°

y = 72°

z = 48°

Step-by-step explanation:

x = 180 - p = 180 - 120 = 60

Since y;z = 3:2 ,   2y = 3z  or z = 2y/3

Now, x + y + z = 180

60 + y + 2y/3 = 180     Multiply thru by 3 to remove the fraction

180 + 3y + 2y = 540

180 + 5y = 540

5y = 360

y = 72

z = 2(72)/3 = 48

Check:  60 + 72 + 48 = 180

5 0
3 years ago
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horrorfan [7]

Step-by-step explanation:

> 2×2a²×2a²

8a⁴

> 36a³×1/4a²

9a³×1/a²

9a

> 2⁶

> 5²m²

6 0
3 years ago
What is the domain and range of the graph?
Andreas93 [3]

Answer:

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8 0
3 years ago
An artist used silver wire to make a square that has a perimeter of 40 inches. She then used copper wire to make the largest cir
finlep [7]

Answer:

The area of the copper circle is <u>31.4 inches</u>.

Step-by-step explanation:

Given:

An artist used silver wire to make a square that has a perimeter of 40 inches.

She then used copper wire to make the largest circle that could fit in the square, with perimeter of 40 inches.

Use 3.14 to represent π.

Now, to find the area of the copper circle.

Perimeter of square = 40 inches.

So, we get the side of square by putting formula:

Perimeter=4\times side

40=4\times side

Dividing both sides by 4 we get:

10=side.

Side=10\ inches.

Now, as the side of square is 10 inches it is the diameter of the circle as the square is fit inside the circle:

For getting the area of circle we find the radius:

Radius (r) = \frac{Diameter}{2} \\=\frac{10}{2}= 5\ inches.

Now, putting the formula to get the area of the circle:

Area=2\times \pi \times r

Area=2\times 3.14\times 5

Area=31.4\ inches.

Therefore, the area of the copper circle is 31.4 inches.

6 0
3 years ago
Helpppppppp meee <br> twentycharacters
vitfil [10]

Answer:

The answer is A

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