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ehidna [41]
3 years ago
13

PLEASE HELP! BRAINLIEST!

Mathematics
1 answer:
balu736 [363]3 years ago
6 0

Answer:

x=4

Step-by-step explanation:

We can find the length of RT by using the Pythagorean theorem

sin theta = opposite side/ hypotenuse

sin 60 = 2 sqrt(3)/ RT

Multiply each side by RT

RT sin 60 = 2 sqrt(3)

Divide by sin 60

RT = 2 sqrt(3)/ sin 60

RT = 4

Then

tan theta = opposite side/ adjacent side

tan 45 = x/RT

tan 45 = x/4

4 tan 45 = x

4 = x

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Please answer ASAP. A baseball is hit upward from a platform that is m high at an initial speed of 29m/s. The approximate height
kotegsom [21]

Answer:

a) about 0.7 seconds to 5.1 seconds.

b) Listed below.

Step-by-step explanation:

h - 1 = -5x^2 + 29x

h = -5x^2 + 29x + 1

a) We will find the amount of time it takes to get to 18 meters.

18 = -5x^2 + 29x + 1

-5x^2 + 29x + 1 = 18

-5x^2 + 29x - 17 = 0

We will then use the quadratic formula to find the answer.

[please ignore the A-hat; that is a bug]

\frac{-29±\sqrt{29^2 - 4 * -5 * -17} }{2 * -5}

= \frac{-29±\sqrt{841 - 340} }{-10}

= \frac{-29±\sqrt{501} }{-10}

= \frac{-29 ± 22.38302929}{-10}

= \frac{-6.616970714}{-10} and \frac{-51.38302929}{-10}

= 0.6616970714 and 5.138302929

So, the time period for which the baseball is higher than 18 metres ranges from about 0.7 seconds to 5.1 seconds.

b) Restrictions on the domain and range of the function are that the domain and range can never be negative, since time cannot be negative, and height cannot be negative. The height cannot exceed the vertex of the parabola, since that is the highest the ball will ever go. It cannot exceed that height since gravity will cause the ball to fall down.

Hope this helps!

5 0
3 years ago
The area of a trapezoid is 243cm2. The height is 18cm and the length of one of the parallel sides is 10cm. Find the length of th
Irina18 [472]

Answer:

Side_2 = 17\ cm

Step-by-step explanation:

Given

Shape: Trapezoid

Area = 243cm^2

Height = 18cm

Side_1 = 10cm

Required

Determine the length of the second parallel side

The area of a trapezoid is:

Area = \frac{1}{2}(Side_1 + Side_2) * Height

Substitute values for Area, Height and Side1

243 = \frac{1}{2}(10 + Side_2) * 18

Multiply both sides by 2

2 * 243 = 2 * \frac{1}{2}(10 + Side_2) * 18

486 = (10 + Side_2) * 18

Divide both sides by 18

27 = 10 + Side_2

Side_2 = 27 - 10

Side_2 = 17\ cm

Hence;

<em>The length of the second parallel side is 17cm</em>

8 0
3 years ago
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