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meriva
3 years ago
13

Archimedes knew that at 7 AM, the sunlight reaches the ground at an angle of 31, degrees. The rock beside which he slept was 5 m

eters tall.How far from the rock did Archimedes go to sleep?Round your final answer to the nearest hundredth. *
Mathematics
1 answer:
evablogger [386]3 years ago
7 0

Answer: Archimedes go to sleep at 8.32 metres away from the rock.

Step-by-step explanation:

Given that the rock beside which he slept was 5 meters tall

Height h = 5m

Angle Ø = 31 degree

To get distance x away from the rock, we will use trigonometry function. SohCahToa

TanØ = opposite/adjacent

Tan 31 = 5/x

x = 5/tan31

x = 8.32m

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Name an event that has a probability of 2/7
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2/7

Step-by-step explanation:

7 balls in a box 3 are red and 2 are yellow and 1 is white what is the probability of find a yellow ball?

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3 years ago
If x2 = 30, what is the value of x? (5 points)
marshall27 [118]

Answer:

It's C.

Step-by-step explanation:

√(30) to the power of 2 is equal to 30.

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3 years ago
Which is greater 900 cm or 9000mm
Morgarella [4.7K]
9000mm
 because there is ten mm in one cm

5 0
3 years ago
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EM Company produces two types of laptop computer bags. The regular version requires $32 in capital and 4 hours of labor and sell
expeople1 [14]

Answer:

Step-by-step explanation:

Given that EM company produces two types of laptop computer bags.

Let regular version produced be R and deluxe version be D

Total capital required

= 32R+38D\leq 2100

Total labor hours required

=4R+6D\leq 280

Sales revenue = 46R+55D

Solving the two constraints we have

10D \leq 140

D can be atmost 14 and hence R can be 49

Otherwise if D is made 0, R = 65 maximum

If R is made 0, D maximum is 46

Thus corner points are (65,0) (0.,46) or (49,14)

Sales revenue for (65,0) = 2990

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(49,14) is 3024

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5 0
3 years ago
Based on historical data, your manager believes that 40% of the company's orders come from first-time customers. A random sample
Vedmedyk [2.9K]

Answer:

P(0.26 \leq p \leq 0.43)=0.7204-0.0032=0.7172

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The population proportion have the following distribution

p \sim N(p=0.4,\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.4(1-0.4)}{91}}=0.0514)

And we can solve the problem using the z score on this case given by:

z=\frac{p_o -p}{\sqrt{\frac{p(1-p)}{n}}}

We are interested on this probability:

P(0.26 \leq p \leq 0.43)

And we can use the z score formula, and we got this:

P(\frac{0.26 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}} \leq Z \leq \frac{0.43 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}})

P(-2.726 \leq Z \leq 0.584)

And we can find this probability like this:

P(-2.726 \leq Z \leq 0.584)=P(Z

7 0
3 years ago
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