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3 years ago

C. What patterns do you notice in the list of fractions 1/5, 1/25, 1/125, 1/625, 1/3125 ?

Mathematics

1 answer:

kozerog [31]3 years ago

5 0

Answer: Each of them has a 1 as the numerator and the denominators all end in 5.

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Fill in Sin, Cos, and tan ratio for angle x. Sin X = 4/5 (28/35 simplified)

Fantom [35]

Answer:

Given: $\sin(x) = (4/5)$ .

Assuming that $0 < x < 90^{\circ}$ , $\cos(x) = (3/5)$ while $\tan(x) = (4/3)$ .

Step-by-step explanation:

By the Pythagorean identity $\sin^{2}(x) + \cos^{2}(x) = 1$ .

Assuming that $0 < x < 90^{\circ}$ , $0 < \cos(x) < 1$ .

Rearrange the Pythagorean identity to find an expression for $\cos(x)$ .

$\cos^{2}(x) = 1 - \sin^{2}(x)$ .

Given that $0 < \cos(x) < 1$ :

$\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}$ .

Hence, $\tan(x)$ would be:

$\begin{aligned}& \tan(x) \\ &= \frac{\sin(x)}{\cos(x)} \\ &= \frac{(4/5)}{(3/5)} \\ &= \frac{4}{3}\end{aligned}$ .

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2 years ago

Rick charges $50 plus $40 an hour to fix cars. Let x be the number of hours that he works and y be the overall cost that he char

Serjik [45]

Y= 40x+ 50 (i need 20 characters to post this so ignore)

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3 years ago

How do i write a two column proof for this?? Given: PG ≅ SG and PT ≅ ST . Prove: ∠GPT ≅ ∠GST

Nikolay [14]

Answer:

PG ≅ SG (Given)

PT ≅ ST (Given)

GT = GT (Common)

∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom)

Step-by-step explanation:

Given: PG ≅ SG and PT ≅ ST

To Prove: ∠GPT ≅ ∠GST

Proof: PG ≅ SG (Given)

PT ≅ ST (Given)

GT = GT (Common)

∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom).

SSS Congruency Axiom: If three pairs of sides of two triangles are equal in length, then the triangles are congruent.

Congruence: Two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of rigid motions, namely a translation, a rotation, and a reflection. This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object. Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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4 years ago

Which situation is most likely to show a constant rate of change?

Wewaii [24]

Probably d as the the temperature outside is unpredictable and the we know the time is always going up

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3 years ago

Factorise the expression: am^2 + bm^2 + bn^2+an^2

Pani-rosa [81]

Answer:

( a+b) ( m^2 + n^2)

Step-by-step explanation:

factorise like terms

m^2 ( a + b ) + n^2 ( m^2 + n^2)

then put like terms together put remaining terms in a bracket

( a + b) ( m^2 + n^2 )

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