Select the correct answer. Gary throws a parachute toy from the roof of a building which has a height of 96 feet. The toy reaches its maximum height of 100 feet after 2 seconds, and it hits the ground after 12 seconds. Which of the following graphs represents the height of the toy?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

The height needs to start at 96

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Michael buys a ticket in the Tri-State Pick 3 lottery every day, always betting on 812. He will win something if the winning number contains 8, 1, and 2 in any order. Each day, Michael has probability 0.006 of winning, and he wins (or not) independently of other days because a new drawing is held each day. What is the probability that Michael’s first winning ticket comes on the 10th day?

Answers

Answer:

0.00568 ANS

Step-by-step explanation:

Since Michael has a .006 chance of winning on any given day,

Than his tries of not winning on any day are as:

1-.006=.994.

For Michael first winning ticket would be on 10 day, Michael should not win on the first 9 days, so then he has to win on the 10 day. For Michael not to succeed on the first 9 days, the probability is:

.994^9=0.94727801832

Hence for him to succeed on the 10 day, the probability is .006.

Now the probability of his first winning ticket being on the 10 day is:

.006*.994^9.=0.0056836681.

A light-year is a unit used to measure large distances in space. One light-year is approximately equal to 5.88 trillion miles. On a map of the Milky Way Galaxy, the scale is 1 inch:70 light-years. If two stars on the map are 19 inches apart, about how far apart are they in the galaxy?

Answers

Answer:

$7.8204* 10^(15)\ \text{miles}$

Step-by-step explanation:

In the map the scale is

$1\ \text{inch}=70\ \text{light-years}$

$19\ \text{inches}=19* 70=1330\ \text{light-years}$

In miles

$1\ \text{light-year}=5.88* 10^(12)\ \text{mi}$

$1330\ \text{light-years}=1330* 5.88* 10^(12)=7.8204* 10^(15)\ \text{miles}$

The galaxies are $7.8204* 10^(15)\ \text{miles}$ apart.

Chris wants to order DVD's over the internet. Each DVD costs $5 and shipping the entire order costs $25. If he can spend no more than $125, how many DVD's could he buy?

Answers

Answer: A)5x+25 ≤125

B)x ≤20

Step-by-step explanation:

A) $5: How much per DVD

x:# of DVDs he gets

+25:Shipping fee

≤: He has a max of 125 he can spend an equivalence of or less but no more. 125 can be on the left end of a greater than or equal to the equation as well.

B)5x+25 ≤125

-25 -25

5x≤ 100

5/5x≤100/5

x≤20

Hope this helps!!

Which regular polygon has a minimum rotation of 45 degrees to carry the polygon onto itself?A. octagon
B. decagon
C. Hexagon
D. Pentagon

Answers

Answer:

Hence, a regular polygon that has a minimum rotation of 45 degrees to carry the polygon onto itself is:

A. octagon.

Step-by-step explanation:

We know that the for a regular polygon with 'n' sides the minimum rotation that can carry the polygon onto itself is:

$(360\degree)/(n)$

Here we are given the minimum angle of rotation such that polygon is transformed to itself as 45 degree.

i.e. we have:

$(360)/(n)=45\n\nn=(360)/(45)\n\nn=8$

Hence, the number of sides of a polygon are 8.

Hence, the polygon is:

A. octagon.

( Since a polygon with 8 sides is called a octagon)

octagon, because 360/8 = 45

Analyze the diagram below and complete the instructions that follow.Solve . Round the answers to the nearest hundredth.

Answers

The length of the side HG is $\boxed{20{\text{ units}}}.$

Further explanation:

The Pythagorean formula can be expressed as,

$\boxed{{H^2} = {P^2} + {B^2}}.$

Here, H represents the hypotenuse, P represents the perpendicular and B represents the base.

Given:

The length of the side GI is $29{\text{ units}}.$

The length of the side HI is $21{\text{ units}}.$

Explanation:

The hypotenuse of the triangle GHI is GI.

The perpendicular of the triangle GHI is HI.

The base of the triangle GHI is HG.

Use the Pythagoras formula in triangle GHI to obtain the length of side GH.

$\begin{aligned}G{I^2}&= H{I^2} + H{G^2}\n{29^2}&= {21^2} + H{G^2}\n{29^2} - {21^2} &= H{G^2}\n841 - 441 &= H{G^2}\n400&= H{G^2}\n\sqrt {400}&= HG\n20&= HG\n\end{aligned}$

Hence, the length of the side HG is $\boxed{20{\text{ units}}}.$

Learn more:

1. Learn more about inverse of the functionbrainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Trigonometry

Keywords: perpendicular bisectors, sides, right angle triangle, triangle, altitudes, hypotenuse, on the triangle, hypotenuse, trigonometric functions, Pythagoras theorem, formula.

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