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3 years ago

8

water balloon was thrown from a window. The height of the water balloon over time can be modeled by the function y=-16x^(2)+160x

+50. What was the maximum height of the water balloon after it was thrown?

1 answer:

vesna_86 [32]3 years ago

5 0

Answer:

450 Is the maximum height.

Step-by-step explanation:

Use x=-b/(2a) to get your answer.

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PQR is a right angled triangle calculate the size of angle marked x

romanna [79]

Answer:

$\displaystyle x \approx 37.4^\circ$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cosθ = adjacent over hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

Angle θ = <em>x</em>

Adjacent Leg = 5.8

Hypotenuse = 7.3

<u>Step 2: Solve for </u><em><u>x</u></em>

Substitute in variables [Cosine]: $\displaystyle cosx^\circ = \frac{5.8}{7.3}$
[Fraction] Divide: $\displaystyle cosx^\circ = 0.794521$
[Equality Property] Trig inverse: $\displaystyle x^\circ = cos^{-1}(0.794521)$
Evaluate trig inverse: $\displaystyle x = 37.39^\circ$
Round: $\displaystyle x \approx 37.4^\circ$

8 0

2 years ago

there are 104 red candies in a candy machine. this represents 26% of the candy in the machine. how many total are in the candy m

Alborosie

There are 400 candies in the machine.

Step-by-step explanation:

Given,

Number of red candies in machine = 104

This represents 26% of the total candies.

Let,

x be the total candies in the machine.

According to statement;

26% of x = 104

$\frac{26}{100}*x=104\\0.26x=104$

Dividing both sides by 0.26

$\frac{0.26x}{0.26}=\frac{104}{0.26}\\x=400$

There are 400 candies in the machine.

Keywords: percentage, division

Learn more about percentages at:

#LearnwithBrainly

6 0

3 years ago

A plane flies 510 kilometers with a bearing of 316° from Naples to Elgin (see figure). The plane then flies 720 kilometers from

IgorC [24]

Answer:

#carryonlearning

Step-by-step explanation:

#carryonlearning

4 0

2 years ago

PLEASE!!!!!!!!!! HELP NEEDED QUICK

Triss [41]

We have to find the expected value for the PlayBall lottery.
The price of the ticket = $1
Prize amount = $250
If a player wins, he will be winning $249 as the price is not paid back along with the prize amount. He is spending $1, getting back $250, so the net amount he is getting back is $249.

Now we have to find the probability of winning and losing.

Number of letters from A to T = 20
Number of digits from 0 to 9 = 10

Probability of picking up the same letter that was picked on that day = 1/20
Probability of picking up the same number that was picked on that day = 1/10

Thus, the Probability of picking up the same letter and same number that was picked on that day = $\frac{1}{20}* \frac{1}{10}= \frac{1}{200}$

Thus, the probability of winning = 1/200

The probability of losing = $1- \frac{1}{200}=\frac{199}{200}$

The expected value E for the PlayBall lottery will be:

$E= \frac{1}{200}(249)- \frac{199}{200}(1) \\ \\ 
E= \frac{1}{4} \\ \\ 
E=0.25$

Thus, the option C gives the correct answer

4 0

3 years ago

What is the multiplicative inverse of 1/2

GuDViN [60]

Multiplicative inverse of 1/2 = 2/1 = 2

Thus, the multiplicative inverse of 1/2 is 2.

4 0

3 years ago

Read 2 more answers