Please help me....................

Mathematics

1 answer:

solmaris [256]2 years ago

7 0

Can you show a clearer picture or type it? i cant seem to see it

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5. To get to the library from his house, Robert biked 6 kilometers due east and then

AURORKA [14]

Answer:

24 kilometers.

Step-by-step explanation:

The shortest path between two points is a straight segment that connects the two points.

Refer to the diagram attached. The 6-km segment and the 8-km segment are normal to each other. Together with the segment that joins the library and the house, the three segments now form a right triangle.

The two shorter segments are the two legs, and
The longer segment that joins the library and the house is the hypotenuse.

The length of the hypotenuse can be found with the Pythagorean Theorem.

$\begin{aligned}\text{Hypotenuse} &= \sqrt{(\text{Leg 1})^{2} + (\text{Leg 2})^{2}}\\&= \sqrt{6^{2} + 8^{2}}\\&= \sqrt{36 + 64} \\&= \sqrt{100}\\&= \rm 10\;km\end{aligned}$ .

The length of the round-trip will equal to the sum of the length of the three segments: $\rm 6\;km + 8\;km + 10\;km = 24\;km$ .

5 0

2 years ago

Your personal library contains books written by 165 authors. 60% of the authors are men. 40% of the authors write only nonfictio

Ludmilka [50]

Lets discern the infomation:

number_men = 165*0.6 = 99

so there are 99 men

non_fiction = 165 * 0.4 = 66

so 66 authors write non-fiction.

men writing non-fiction are 40, so 59 men write fiction, and 26 women write non-fiction.

probability of author non-fiction or man?
non-fiction: 40 men + 26 women = 66 total
man writers = 99

so in total 99 man + 26 women = 115 authors

hence the probability is:
115/165 = 69.6%

3 0

3 years ago

Need help on this thanks

Mars2501 [29]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

The director of a state agency believes that the average starting salary for clerical employees in the state is less than $35 c

MrRissso [65]

Answer: