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icang [17]
1 year ago
9

A group of scientists have been sent on an expedition to test the soil in the Allegheny Mountains. They need to collect samples

from nine sites. The route for the expedition is shown in the image. The group starts at P and works its way around to Q, R, S, T, U, V, W, and X, in that order, before returning to P. What is the length of the route?
A.
50 units
B.
52 units
C.
55 units
D.
58 units
E.
60 units

Mathematics
1 answer:
professor190 [17]1 year ago
6 0

Answer:

B.  52 units

Step-by-step explanation:

Here we have to count the length we need count the number of units passed from P.

= 7 + 12 + 8 +6 +6 +4  + 2 +3

= 52 units

Here with I have attached the figure.



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Find the length of the leg of a right triangle with leg length b= 21.5 inches and the hypotenuse c= 31.9 inches. Use a calculato
sweet [91]

Answer:

23.6 (approximate value)

Step-by-step explanation:

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  • b*b= 1017.61 - 462.25
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8 0
1 year ago
2 inches 3 inches Pivot. If 60 lbs. of force must be applied to the valve for it to open, how much upward force must push rod X
tresset_1 [31]

We can solve this problem by stating that the summation of momentums must be zero. That is, the momentum at one end of the pivot must be equal to the momentum at the other end.

Momentum 1 = Momentum 2

Since Momentum is the product of Force and Distance, and with this rule created, we can say that:

F1 * d1 = F2 * d2

Where,

F1 = 60 lbs

d1 = 2 inches from the pivot

F2 = unknown X

d2 = 3 inches from the pivot

Substituting to the equation to find for F2:

60 lbs * 2 inches = F2 * 3 inches

F2 = 40 lbs

 

<span>Therefore 40 lbs of upward force must be pushed to open the valve.</span>

<span>Answer: B</span>

3 0
1 year ago
The Dot plot shows the salaries for the employees that two small companies before a new company head is hired on each company se
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Answer:

D

Step-by-step explanation:

8 0
1 year ago
How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?
Harlamova29_29 [7]
The answer
f(x) = 0.7(6)x = <span>f(x) = 0.7(6)^x, and  </span><span>g(x) = 0.7(6)–x= </span>g(x) = 0.7(6)^-x=1/<span>0.7(6)^x
so </span>
g(x) =1/<span>0.7(6)^x=1 /</span><span><span>f(x)

</span> the relationship between f and g are </span>g(x) =1 /<span>f(x) or </span><span>g(x) . <span>f(x) = 1</span> </span>






7 0
2 years ago
Read 2 more answers
Wang Hao wants to spend at most $15 on dairy products. Each liter of goat milk costs $2.40 and each liter of cow's milk costs $1
Mashutka [201]

Answer:

2.40g + 1.20c ≤15

Step-by-step explanation:

Each liter of goat milk costs $2.40 and each liter of cow's milk costs $1.20

Let g = liters of goats milk

c = liters of cows milk

What we are buying is the liters times the cost

2.40g + 1.20c

This must be less than or equal to 15 dollars

2.40g + 1.20c ≤15

8 0
2 years ago
Read 2 more answers
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