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Tpy6a [65]
3 years ago
15

A hang glider pilot accidentally drops her compass from the top of a 400-foot cliff. The height h of the compass after t seconds

is given by the quadratic equation h=−16t2+400. When will the compass hit the ground?
Mathematics
1 answer:
KonstantinChe [14]3 years ago
7 0

Answer:

5 seconds

Step-by-step explanation:

H= -16t2 + 400

Hit ground

H=0

0 = -16t2 + 400

0 = -16 ( t2 - 25)

-16

t2 -25 = 0

(t + 5)(t - 5) = 0

t + 5 = 0

- 5 -5

t = -5

t - 5 = 0

+ 5 +5

t = -5

t = 5

5 seconds to hit the ground

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There are 14 teams in a basketball league.
Talja [164]

Answer:

Step-by-step explanation:

Given that :

Number of teams = 14

Each team plays every other team twice ;

Using the combination formula :

nCr = n! ÷ (n-r)! r!

14C2 = 14! ÷ (14 - 2)! 2!

14C2 = 14! ÷ (12)! 2!

14C2 = (14 * 13) ÷ 2 * 1

14C2 = 182 / 2

14C2 = 91

Hence, since they are going to be playing each other twice :

2(14C2)

2 * 91 = 182games

7 0
2 years ago
The denominator of a fraction is two more than the numerator. If both numerator and denominator are decreased by six, the simpli
ira [324]

Answer:

\dfrac{40}{42}

Step-by-step explanation:

Let the numerator of the fraction=x

Since the denominator of a fraction is two more than the numerator.

Denominator=x+2

The fraction is therefore:

\dfrac{x}{x+2}

If both numerator and denominator are decreased by six, the fraction becomes:

\dfrac{x-6}{x+2-6}

The simplified result is \dfrac{17}{18}

Therefore:

\dfrac{x-6}{x+2-6}=\dfrac{17}{18}\\$Next, we solve for x\\Cross multiply\\18(x-6)=17(x+2-6)\\18(x-6)=17(x-4)\\Expand the bracket\\18x-108=17x-68\\Collect like terms\\18x-17x=-68+108\\x=40

Substituting x=40 into the initial fraction

\dfrac{x}{x+2}=\dfrac{40}{40+2}=\dfrac{40}{42}

Therefore, the original fraction is \dfrac{40}{42}

4 0
3 years ago
A school has a goal of getting at least 2000 boxtops. They have 872 so far. They have 8 days left to get it. At least how many d
True [87]

Answer:

School needs to collect at least 144 box tops each day to meet their goal.

Step-by-step explanation:

The total requirement of box tops = 2,000

The number of box tops they have already received = 872

So, the box tops left = Total number required- Number of tops received

                                  =2,000 - 872

                                   = 1,128 box tops are left so far.

Number of days left = 8

So, number of minimum tops needed each day = \frac{\textrm{Total tops required}}{\textrm{Number of days left}}

                                                = \frac{1128}{8} = 141

Hence, they need to collect at least 144 box tops each day to meet their goal.

5 0
2 years ago
HELP ME ITS SO EASY BUT I NEED HELP
Naddika [18.5K]

Answer:

7.2111(4 decimal places)

Step-by-step explanation:

a squared by b squared=c squared

36 + 16 is 52, so then you need to square root 52 which is 7.2111 to 4 decimal places. I hope you benefit from this. Cheers

5 0
2 years ago
B) Here are the first four terms of a quadratic sequence.
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Find answer is the given attachment

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