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WARRIOR [948]
2 years ago
5

In ΔDEF, d = 4.1 cm, ∠D=111° and ∠E=50°. Find the length of e, to the nearest 10th of a centimeter.

Mathematics
1 answer:
gladu [14]2 years ago
7 0

Answer:

i think he is 15 i could be wrong

Step-by-step explanation:

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Suppose that in a population of 1000 there are 300 defective items and 700 items that are not defective. if you are selecting tw
natulia [17]
This is a combinations problem.

The total number of possible 2-item combinations is (1000 choose 2)

The number of 2-defective combinations is (300 choose 2)

The probability = \frac{300 C 2}{1000 C 2} = 0.09
4 0
2 years ago
Find b, given that a = 20, angle A = 30°, and angle B = 45° in triangle ABC
Kamila [148]
<span>The side b is opposite to the angle B, applying the law of the sines, we have:

</span>\frac{a}{sinA} = \frac{b}{sinB}
\frac{20}{sin30^0} = \frac{b}{sin45^0}
\frac{20}{ \frac{1}{2} } = \frac{b}{ \frac{ \sqrt{2} }{2} }
20* \frac{ \sqrt{2} }{2}  = b* \frac{1}{2}
\frac{20 \sqrt{2} }{2} = \frac{b}{2}
2*b =2*20 \sqrt{2}
2b = 40 \sqrt{2}
b =  \frac{40 \sqrt{2} }{2}
\boxed{b = 20 \sqrt{2} }
6 0
2 years ago
Read 2 more answers
A stack of books is 5 feet high. If the average book is three inches high, how many books are in the stack?
Thepotemich [5.8K]

4 books make 1 foot since there are 12 inches in a foot so 4 * 5 is 20

There are 20 books in the stack

7 0
2 years ago
Read 2 more answers
16.A guidance counselor is planning schedules for 30 students. Sixteen students say they want to take French, 16 want to take Sp
MariettaO [177]

Answer:7

Step-by-step explanation:

This can be solved by Venn-diagram

Given there  are total 5 students who want french and Latin

also 3 among them want Spanish,french & Latin

i.e. only 2 students wants both french and Latin only.

Also Student who want only Latin is 5

Thus Student who wants Latin and Spanish both only is 11-5-3-2=1

Students who want only Spanish is 8 Thus students who wants Spanish and French is 4

Similarly Students who wants Only French is 16-4-3-2=7

8 0
2 years ago
Read 2 more answers
Radium-226, an isotope of radium, has a half-life of 1,601 years. Suppose your chemistry teacher has a 50-gram sample of radium-
Sholpan [36]
We know that
Half-life is modeled by the formula
An=A0*(0.5)<span>^[t/h)]
where
An----------> </span>is the amount remaining after a time t
A0----------> is the initial quantity
t------------> is the time
h------------> is the half-life of the decaying quantity

in this problem
h=1601 years
A0=50 g
An=?
t=100 years
An=A0*(0.5)^[t/h)]---------> An=50*(0.5)^[100/1601)]-----> 47.88 gr

the answer is 47.88 g
6 0
1 year ago
Read 2 more answers
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