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4 years ago

A runner covers 55 yards in 5.5 seconds. Find the runner's average speed in miles per hour.

1 answer:

7 0

$V=\frac{s}{t},where\ V-speed,\ s-distence\ ,t-time\\\\V=\frac{55y}{5,5s}=10\frac{y}{s}=10\frac{0,000568m}{\frac{1}{3600}h}=\frac{0,00568m}{\frac{1}{3600}h}=0,00568\cdot3600\frac{m}{h}=\\\\=20,448\frac{m}{h}$

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Which lines are the directrices of the ellipse?

algol [13]

The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.

<h3>How to calculate the ellipse? </h3>

From the information given, the equation of parabola will be:

= (x - 3)²/5² + (y - 2)²/3² = 1

Hence, h = 3, k = 2, a = 5, b = 3

e = ✓1 - ✓3²/5²

E = 4/5 = 0.8

The directix will be:

x = 3 + 5/0.8

x = 9.25

x = 3 - 5/0.8

x = -3.25

Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.

Learn more about ellipse on:

brainly.com/question/16904744

4 0

2 years ago

An economy pack of highlighters contains 12 yellow, 6 blue, 4 green, and 3 orange highlighters. An experiment consists of random

Serhud [2]

Answer:

The probability of choosing a blue or yellow highlighter when one yellow highlighter is picked is 17/25.

Step-by-step explanation:

Here, according to the question:

Total number of yellow highlighters = 12

Total number of blue highlighters = 6

Total number of green highlighters = 4

Total number of orange highlighters = 3

So, the total number of highlighters = 12 + 6 + 4 + 3 = 25

Let E1 : Event of selecting a yellow highlighter.

P(E1) = $\frac{\textrm{Total number of yellow highlighters}}{\textrm{Total Highlighters}}$ = $\frac{12}{25}$

Let E2 : Event of selecting blue or yellow highlighter ONCE yellow highlighter is selected.

So, the total yellow highlighters left after selecting one = 12 -1 = 11

Also, the number of blue highlighter = 6

So, the TOTAL FAVORABLE options to E2 = 6+ 11 = 17

P(E2) =

$\frac{\textrm{Total number of yellow + Blue highlighters}}{\textrm{Total Highlighters}}$ = $\frac{17}{25}$

Hence, the probability that a blue or yellow highlighter is selected given that a yellow highlighter is selected is 17/25.

7 0

3 years ago

Х'y<br> 62<br> Use properties of exponents to simplify the expression.

Dimas [21]

Answer: it's A

Step-by-step explanation: Its A I bet nonono C

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2 years ago

During a sale, a dress is sold at discount of 15%. The original price of the dress is $ 60. What is the price of the dress after

ycow [4]

15/100=0.15
60*0.15=9
60-9=$52 after discount

7 0

2 years ago

While waiting for a video game to download, you notice that 30% of 32,000 kilobytes have been downloaded so far.

madam [21]

30%=30/100=0.3

0.3(32,000)=

9600kb downloaded

32 Megabite game? That'll be done is seconds on most connections. (the slowest of connections ive seen are about 20 mb/s)

3 0

4 years ago