1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
scoundrel [369]
3 years ago
12

X is less than or equal to-86

Mathematics
1 answer:
ra1l [238]3 years ago
4 0

Answer:

x≤-86

Step-by-step explanation:

You might be interested in
Not sure if any of this is correct, but it’s what I got so far
Irina18 [472]

Problem 1 is correct. You use the pythagorean theorem to find the hypotenuse.

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

Problem 2 has the correct answer, but one part of the steps is a bit strange. I agree with the 132 ft/sec portion; however, I'm not sure why you wrote \frac{1 \text{ sec}}{132 \text{ ft}}=\frac{0.59\overline{09}}{78 \text{ ft}}*127 \text{ ft}

I would write it as \frac{1\text{ sec}}{132 \text{ ft}}*127 \text{ ft} = \frac{127}{132} \text{ sec} \approx 0.96 \text{ sec}

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

For problem 3, we first need to convert the runner's speed from mph to feet per second.

17.5 \text{ mph} = \frac{17.5 \text{ mi}}{1 \text{ hr}}*\frac{1 \text{ hr}}{60 \text{ min}}*\frac{1 \text{ min}}{60 \text{ sec}}*\frac{5280 \text{ ft}}{1 \text{ mi}} \approx 25.667 \text{ ft per sec}

Since the runner needs to travel 90-12 = 78 ft, this means\text{time} = \frac{\text{distance}}{\text{speed}} \approx \frac{78 \text{ ft}}{25.667 \text{ ft per sec}} \approx 3.039 \text{ sec}

So the runner needs about 3.039 seconds. In problem 2, you calculated that it takes about 0.96 seconds for the ball to go from home to second base. The runner will not beat the throw. The ball gets where it needs to go well before the runner arrives there too.

-------------

The question is now: how much of a lead does the runner need in order to beat the throw?

Well the runner needs to get to second base in under 0.96 seconds.

Let's calculate the distance based on that, and based on the speed we calculated earlier above.

\text{distance} = \text{rate}*\text{time} \approx (25.667 \text{ ft per sec})*(0.96 \text{ sec}) \approx 24.64032 \text{ ft}

This is the distance the runner can travel if the runner only has 0.96 seconds. So the lead needed is 90-24.64032 = 65.35968 feet

This is probably not reasonable considering it's well over halfway (because 65.35968/90 = 0.726 = 72.6%). If the runner is leading over halfway, then the runner is probably already in the running motion and not being stationary.

As you can see, the runner is very unlikely to steal second base. Though of course such events do happen in real life. What may explain this is the reaction time of the catcher may add on just enough time for the runner to steal second base. For this problem however, we aren't considering the reaction time. Also, not all catchers can throw the ball at 90 mph which is quite fast. According to quick research, the MLB says the average catcher speed is about 81.8 mph. This slower throwing speed may account for why stealing second base isn't literally impossible, although it's still fairly difficult.

5 0
2 years ago
A dice is rolled 2 times. What is the probability of showing a 5 on every roll Round to 4 decimal places
AlexFokin [52]

Answer:

0.0278

Step-by-step explanation:

(1/6)(1/6) = 1/36 = 0.0278

3 0
3 years ago
What is the total number of milliliter of juice 20 people can drink
grandymaker [24]
377m total people can drink
3 0
3 years ago
What is 24% of 100 <br><br> PLEASEEEE HELP I WILL GIVE BRAINLY POINTS!!!!!!!!!!!!!!!!!
klemol [59]
24 is going to be the answer
3 0
2 years ago
Read 2 more answers
Guy ran at 13 km/hr. what was guys speed in MPH?
Assoli18 [71]

The guy ran at a speed of 8.07783 MPH

Here's how I got my answer:

1 km/hr. = 0.621371

So, if you do 0.621371 * 13 you will get your answer: 8.07783 MPH

7 0
3 years ago
Read 2 more answers
Other questions:
  • Answer ASAP please !!
    15·1 answer
  • 7 movie tickets cost $35<br> Unit rate
    5·2 answers
  • Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t
    10·1 answer
  • you are purchasing four items and you want to calculate the tax. The items cost 2.50, 8.75, 3.00, and 10.25. The tax rate is 6%.
    12·1 answer
  • Decompose 35×10 to get an answer of 350
    8·2 answers
  • Convert the integral below to polar coordinates and evaluate the integral.
    12·1 answer
  • #3 - Simplify the expression. Type your answer with all lowercase letters and no spaces. Type your p variable first and g variab
    6·1 answer
  • Express as a trinomial. (3x-2)(2x+9)
    8·1 answer
  • Solve for X<br> 130, 50 and X
    15·2 answers
  • Help help help please last one mathematics
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!