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Ksju [112]
3 years ago
9

Help me ASAP please.

Mathematics
1 answer:
Leni [432]3 years ago
4 0

Answer:

Step-by-step explanation:

The vertex will occur when t=-b/(2a) for the quadratic ax^2+bx+c

In this case

t=-200/(2(-16))

t=-200/-32

t=6.25

g(6.25)=-16(6.25^2)+200(6.25)

g(6.25)=625ft

So the maximum height of the rocket is 625 feet and it reaches this height at 6.25 seconds.

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baherus [9]

Answer:

h ≈ 11.9

Step-by-step explanation:

Since the triangle is right we can use the cosine ratio to find h

cos24° = \frac{adjacent}{hypotenuse} = \frac{h}{13}

Multiply both sides by 13

13 × cos24° = h

⇒ h = 11.9 cm ( to 1 dec. place )

8 0
3 years ago
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The product of two numbers is 41. One of the numbers
shepuryov [24]
<h3>Answer:   5 - 4i     (choice A)</h3>

===================================================

Work Shown:

x = the other number

(5+4i)*x = 41

x = 41/(5+4i)

x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below

x = 41*(5-4i)/( 41 )

x = (41/41)*(5-4i)

x = 5 - 4i  

As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41

The rule used is (a-bi)(a+bi) = a^2 + b^2

-----------

Note:  I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.

3 0
2 years ago
The angle of depression from a lighthouse to a boat in the water is 14 degrees. If the boat is 532 feet from the base of the lig
MA_775_DIABLO [31]

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Step-by-step explanation:

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3 years ago
Landon and Keira are preparing refreshments for a party. To make fruit punch, they will mix 2 gallons of grape juice with 1 cup
VikaD [51]
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Stels [109]

Answer:

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2 years ago
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