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3 years ago

Given the Numbers 18% and 0.7, explain which number is larger by using Words and/or pictures.

Mathematics

2 answers:

LuckyWell [14K]3 years ago

6 0

Percent means parts out of 100
18%=18/100=1.8/10=0.18

0.18<0.70

18%<0.7

0.7 is larrger because math

Darya [45]3 years ago

5 0

.7 is larger because if you move the decimal place two to the right, you would get 70% and 70% is larger than 18%.

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The 5th term in a geometric sequence is 120. The 7th term is 30. What are the possible values of the 6th term of the sequence.

klemol [59]

Answer:

± 60

Step-by-step explanation:

aₙ = a₁ * rⁿ⁻¹

a₇ = 30 = a₁ * r⁷⁻¹ = a₁ * r⁶ (1)

a₅ = 120 = a₁ * r⁵⁻¹ = a₁ * r⁴ (2)

(1)/(2): 30/120 = 1/4 = r²

r = ± 1/2 or ± 0.5

a₁ = a₇/r⁶ = 30/0.5⁶ = 1920

a₆ = 1920 * (± 1/2)⁶⁻¹ = 1920 * ± 1/32 = ± 60

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2 years ago

What is the slope of the line with the equation y +2 = -3(x – 7)?

Citrus2011 [14]

Answer:

A.m = -3

Step-by-step explanation:

This equation is written in point slope form

y-y1 = m(x-x1)

y +2 = -3(x – 7)

y - -2 = -3(x – 7)

The slope is -3 and the point is (7, -2)

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2 years ago

Work out the area of this circle.

viktelen [127]

Answer:

If the 21 cm is circumference, the answer would be 35.09.

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If the 21 cm is diameter, the answer would be 346.36.

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3 years ago

Determine whether the triangles are similar. if so, write a similarity statement and name the postulate ot theorem you used. if

Gekata [30.6K]

Answer: Explained.

Step-by-step explanation: The explanations are as follows :

(7) Since GF is parallel to JK and FK and GJ are tranversals, so we have

∠GFK = ∠JKH,

∠FGK = ∠KJH (pairs of alternate interior angles) and

∠GKF = ∠JHK (vertically opposite angles).

Therefore, both the triangles are similar by AAA similarity rule.

(8) Here,

$\dfrac{AN}{MP}=1,~\dfrac{AD}{PR}=\dfrac{4}{5}.$

Since the ratio of the corresponding sides are not proportional, so the triangles are not similar.

(9) Here,

$\dfrac{PS}{RS}=\dfrac{SQ}{ST}=\dfrac{PR}{QT}=\dfrac{2}{3}.$

So, the triangles are similar by proportionality rule.

(10) Here,

$\dfrac{RQ}{JK}=\dfrac{11}{16},~\dfrac{PR}{KL}=\dfrac{30}{45}=\dfrac{2}{3},~\dfrac{PQ}{JL}=\dfrac{2}{3}.$

Since all the ratios are not equal, so the triangles are not similar.

(11) Here , no angle of one triangle matches with the angle of the other triangle, so the given triangles are not similar.

(12) Here,

$\dfrac{GH}{AC}=\dfrac{GK}{AB}=\dfrac{KH}{BC}=\dfrac{1}{2}.$

So, the triangles are similar by the proportionality rule.

Hence explained.

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3 years ago