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kodGreya [7K]
3 years ago
8

Patrica scored 80% on a math test. She missed 4 problems. How many problems were on the test?

Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0

Answer:

20

Step-by-step explanation:

Patrica got 80% correct.  She missed 4 problems, so that must have been the remaining 20% of the test.

Therefore:

4 = 20% x

Percent means out of 100, so:

4 = (20/100) x

4 = 1/5 x

x = 20

There were 20 problems on the test.

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Sara rolls a fair dice 600 times.<br> How many times would Sara expect to roll a six?
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Answer:

100

Step-by-step explanation:

possibility of getting 6 in one roll = 1/6

Possibility of getting 6 in 600 rolls = 1/ 6 x 600 = 100

I hope im right!!!

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3 years ago
Answer ASAP. Please give correct answer. (Involves a bunch of circles and trig identities)
iren [92.7K]

Answer:

45.40

Step-by-step explanation:

First of all, the shape of rope is not a parabola but a catenary, and all catenaries are similar, defined by:

y=acoshxa

You just have to figure out where the origin is (see picture). The hight of the lowest point on the rope is 20 and the pole is 50 meters high. So the end point must be a+(50−20) above the x-axis. In other words (d/2,a+30) must be a point on the catenary:

a+30=acoshd2a(1)

The lenght of the catenary is given by the following formula (which can be proved easily):

s=asinhx2a−asinhx1a

where x1,x2 are x-cooridanates of ending points. In our case:

80=2asinhd2a

40=asinhd2a(2)

You have to solve the system of two equations, (1) and (2), with two unknowns (a,d). It's fairly straightforward.

Square (1) and (2) and subtract. You will get:

(a+30)2−402=a2

Calculate a from this equation, replace that value into (1) or (2) to evaluate d.

My calculation:

a=353≈11.67

d=703arccosh257≈45.40

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3 years ago
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Musya8 [376]
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