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3 years ago

Identify all sets to which the number belongs. –0.249851765...

Mathematics

2 answers:

Ulleksa [173]3 years ago

3 0

Answer:

i. Irrational numbers

ii. Real numbers

Step-by-step explanation:

The given decimal is –0.249851765...

This number does not recur and it does not also terminate.

It belongs to the set of irrational numbers because it cannot be written in the form $\frac{a}{b}$ where $a,b\in R$ and $b\ne0$ .

This numbers also belongs to the set of real numbers.

antoniya [11.8K]3 years ago

3 0

Answer:

irrational

Step-by-step explanation:

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Sonbull [250]

Yes, she is correct
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3 years ago

Round to the nearest tenth.

laila [671]

Answer:

8.2 units

Step-by-step explanation:

Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC

Recall the Law of Cosines

$a^2=b^2+c^2-2bc\cdot cos(A)$

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$m\angle A=23^\circ\\a=BC=?\\b=AC=14\\c=AB=6$

Solve for side "a"

$a^2=b^2+c^2-2bc\cdot cos(A)\\\\a^2=14^2+6^2-2(14)(6)\cdot cos(23^\circ)\\\\a^2=196+36-168cos(23^\circ)\\\\a^2=222-168cos(23^\circ)\\\\a=\sqrt{222-168cos(23^\circ)}\\ \\a\approx8.2$

Therefore, the length of line segment BC is about 8.2 units

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2 years ago

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B is your answer lol

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3 years ago

jerry has 60 coins consisting of quarters and dimes. The coins combined value is $9.45. Find out how are quarters and how many a

jekas [21]

Eq. 1 .10x + .25y = 9.45
Eq. 2 x + y = 60 rewrite as x = 60 - y and substitute into equation 1.

.10(60 - y) + .25y = 9.45
6 - .1y + .25y = 9.45
6 + .15y = 9.45
.15y = 3.45
y = 23
60 - 23 = 37

23 quarters
37 dimes

23* .25 = 5.75
37 * .1 = 3.70
5.75 + 3.70 =9.45

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3 years ago