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Ksenya-84 [330]
3 years ago
9

Can someone please help ? (:

Mathematics
2 answers:
ratelena [41]3 years ago
8 0
Wow! There so much extra stuff on this drawing, naturally it's hard to see
what's going on.

First, do you remember "vertical angles" ?  They're the pair of opposite angles
that form where lines cross, and they're equal.

-- It says that angle-1 is 55 degrees.
Angle-1 and angle-7 are vertical angles, so angle-7 is also 55 degrees.

-- It says that angle-4 is 60 degrees.
Angle-4 and angle-6 are vertical angles, so angle-6 is also 60 degrees.

Now you can forget about all that stuff that's outside of the triangle in the middle,
and just look at the triangle. They want you to find angle-10.


See the angles at the top of the triangle ... angle-7 and angle-6 ?
We know what both of those are.  Angle-7 is 55 degrees, and angle-6 is 60 degrees.

Do you remember what the 3 angles inside a triangle always add up to ?
They always add up to 180 degrees.

Add angle-7 and angle-6 together . . . 55 + 60 = 115 degrees.

So angle-10 is just the rest of the 180 degrees inside the triangle.

Angle-10 = 180 - (115) = 65 degrees



valentinak56 [21]3 years ago
5 0
So 1 is the same as 7 and 6 is the same as 4.
add 1 and 4 together and get 115.
then do 180 minus 115 to get angle 10
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Answer:

(a) The time the T-shirt takes to maximum height is 2 seconds

(b) The maximum height is 68 ft

(c) The range of the function that models the height of the T-shirt over time given above is 4 + 64\cdot t - 16 \cdot  t^{2}

Step-by-step explanation:

Here, we note that the general equation representing the height of the T-shirt as a function of time is

h = h_1 + u\cdot t - \frac{1}{2} \cdot g  \cdot  t^{2}

Where:

h = Height reached by T-shirt

t = Time of flight

u = Initial velocity = 64 ft/s

g = Acceleration due to gravity (negative because upward against gravity) = 32 ft/s²

h₁ = Initial height of T-shirt = 4 ft

(a) The maximum height can be found from the time to maximum height given as

v = u - gt

Where:

u = Initial velocity = 64 ft/s

v = Final upward velocity at maximum height = 0 m/s

g = 32 ft/s²

Therefore,

0 = 64 - 32·t

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t = 64/32 = 2 seconds

(b) Therefore, maximum height is then

h = 4 + 64\times 2 - \frac{1}{2} \times 32  \times  2^{2}

∴ h = 68 ft

The T-shirt is then caught 41 ft above the court on its way down

(c) The range of the function that models the height of the T-shirt over time given above is derived as

h = h_1 + u\cdot t - \frac{1}{2} \cdot g  \cdot  t^{2}

With u = 64 ft/s

g = 32 ft/s² and

h₁ = 4 ft

The equation becomes

h =4 + 64\cdot t - \frac{1}{2} \times 32  \cdot  t^{2} = 4 + 64\cdot t - 16 \cdot  t^{2}.

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