Find lowest common denominator write the equivalent fractions 2/5 and 1/10

Mathematics

1 answer:

Finger [1]3 years ago

3 0

Answer: 4/10 = look below for explanation

Step-by-step explanation:

Transform 2/5 into the same demononator

= 2/5 becomes 4/10 because you've multiplied 2x2 and 5x2

which becomes 4/10 and 1/10

to solve: 4/10 - 1/10 = 3/10

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In the accompanying diagram of circle O, chords AB and CD intersect at E and

RoseWind [281]

Answer:

m(arc AC) = 72°

m(arc BD) = 108°

m∠DEB = 90°

Step-by-step explanation:

Ratio of the measure of arc AC, arc BC, arc BD and arc AD = 4 : 2 : 6 : 8

Since, m(arc AC) + m(arc CB) + m(arc BD) + m(arc AD) = 360°

By the property of ratio,

Measure of arc AC = $\frac{4}{4+2+6+8}\times (360^0)$

= $\frac{4\times 360}{20}$

= 72°

Measure of arc BD = $\frac{6}{4+2+6+8}\times (360^0)$

= $\frac{6\times 360}{20}$

= 108°

Measure of ∠DEB = $\frac{1}{2}m(arcAC + arc BD)$

= $\frac{1}{2}(72+108)$

= 90°

6 0

3 years ago

(2a+b)^2÷(3b-1) when a= -2 and b=5

WINSTONCH [101]

Evaluate (2 a + b)^2/(3 b - 1) where a = -2 and b = 5:
(2 a + b)^2/(3 b - 1) = (5 - 2×2)^2/(3×5 - 1)

3×5 = 15:
(5 - 2×2)^2/(15 - 1)

| 1 | 5
- | | 1
| 1 | 4:
(5 - 2×2)^2/14

2 (-2) = -4:
(-4 + 5)^2/14

5 - 4 = 1:
1^2/14

1^2 = 1:

Answer: 1/14

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