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lora16 [44]
3 years ago
5

A boat heads north at 30 mph while a steamer heads east at 40 mph at the same time. When is the distance between them 50 mi?

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
7 0

let t = time (hrs) that they are 50 mi apart

Use pythag here; a^2 + b^2 = c^2; dist = speed * time

(30t)^2 (40t)^2 = 50^2

900t^2 + 1600t^2 = 2500

It's obvious that t = 1 hr

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Helpppp with question above pleaseee^^^^
Dennis_Churaev [7]
C=2b
d=c+7
b+c=57⇒b+2b=57⇒3b=57⇒ b=19, c=2*19=38, d=38+7=45
thats given

lets find if there is an x such that  d-x=b+x=c⇔ 43-x=19+x=38
43-x=38⇒x=43-38=5
19+x=38⇒x=19
there is no single x (cant be both 5 and 19)
so, i think dan was incorrect.





3 0
4 years ago
Find the equation of the line shown
Mamont248 [21]

Answer:

y = x + 6

Step-by-step explanation:

3 0
3 years ago
As an estimation we are told £3 is €4.<br> Convert €52 to pounds.
kati45 [8]

Answer:

£69.33

Step-by-step explanation:

4/3=1.33333333333 so that 52*1.33333333333 would convert  52 euros into 52 pounds

7 0
4 years ago
A data set lists weights​ (lb) of plastic discarded by households. The highest weight is 5.24 ​lb, the mean of all of the weight
Vladimir [108]

Answer:

a) 3.308 lb

b) That difference is 2.91 standard deviations.

c) Z = 2.91

d) We have that Z = 2.91 > 2, so the weight of 5.24lb is significantly high.

Step-by-step explanation:

The z-score formula is given by:

Z = \frac{X - \mu}{\sigma}

In which: X is the weight we are going to find the z-score of, \mu is the mean of all the weights and \sigma is the standard deviation of all the weights.

The problems gives these following informations:

The highest weight is 5.24 ​lb

The mean of all the weights is 1.932 lb

The standard deviation of all the weights is 1.135 lb

a. What is the difference between the weight of 5.24 lb and the mean of the​ weights?

D = 5.24lb - 1.932lb = 3.308lb

b. How many standard deviations is that​ [the difference found in part​ (a)]?

The difference found in (a) is 3.308lb.

This can be calculated by a simple rule of three.

1 standard deviation - 1.135lb

x standard deviations - 3.308lb

1.135x = 3.308

x = \frac{3.308}{1.135}

x = 2.91

That difference is 2.91 standard deviations.

c. Convert the weight of 5.24 lb to a z score.

We have that:

X = 5.24, \mu = 1.932 and \sigma = 1.135. So:

Z = \frac{X - \mu}{\sigma} = \frac{5.24 - 1.932}{1.135} = 2.91

3 0
3 years ago
Can someone help me find the theta and radius please?
IrinaK [193]

Answer:

There is videos online

Step-by-step explanation:

3 0
3 years ago
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