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3 years ago

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Alex purchased a 6-hour calling card. He has used t minutes of access time. Write an algebraic expressions to represent how many

minutes he has remaining and identify units for the expression.

2 answers:

Norma-Jean [14]3 years ago

4 0

6 hours less than t minutes

Liono4ka [1.6K]3 years ago

3 0

6 hours calling card - t minutes of access time.

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Vanyuwa [196]

It is 1a over bd and 8 over k

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3 years ago

If A ABC ~ ARST and m 2 A = 42°, m 2 C = 60°,<br> find the measure of < S.

Free_Kalibri [48]

Answer:

78

Step-by-step explanation:

∠A + ∠B + ∠C = 180 { Angle sum property of triangle}

42 + ∠B + 60 = 180

∠B + 102 = 180

∠B = 180 - 102 = 78

In similar triangles, corresponding angles are congruent.

∠S ≅ ∠B

∠S = 78°

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2 years ago

Please help me solve !!!!!!!!!!!!!!!

Dima020 [189]

Answer:

4x - 3y = 4

-3x + 3y = -6

x = -2

-2 - y = 2

-y = 4

y = -4

(-2,-4)

5 0

3 years ago

Factor this polynomial -3x^2-16x-5

dlinn [17]

The answer is -(3x+1)(x+5)

6 0

3 years ago

Given cosα = −3/5, 180 < α < 270, and sinβ = 12/13, 90 < β < 180

torisob [31]

I got

$- \frac{6 3}{65}$

What we know

cos a=-3/5.

sin b=12/13

Angle A interval are between 180 and 270 or third quadrant

Angle B quadrant is between 90 and 180 or second quadrant.

What we need to find

Cos(b)

Cos(a)

What we are going to apply

Sum and Difference Formulas

Basics Sine and Cosines Identies.

1. Let write out the cos(a-b) formula.

$\cos(a - b) = \cos(a) \cos(b) + \sin(a) \sin(b)$

2. Use the interval it gave us.

According to the given, Angle B must between in second quadrant.

Since sin is opposite/hypotenuse and we are given a sin b=12/13. We. are going to set up an equation using the pythagorean theorem.

.

${12}^{2} + {y}^{2} = {13}^{2}$

$144 + {y}^{2} = 169$

$25 = {y}^{2}$

$y = 5$

so our adjacent side is 5.

Cosine is adjacent/hypotenuse so our cos b=5/13.

Using the interval it gave us, Angle a must be in the third quadrant. Since cos is adjacent/hypotenuse and we are given cos a=-3/5. We are going to set up an equation using pythagorean theorem,

.

$( - 3) {}^{2} + {x}^{2} = {5}^{2}$

$9 + {x}^{2} = 25$

${x}^{2} = 16$

$x = 4$

so our opposite side is 4. sin =Opposite/Hypotenuse so our sin a =4/5.Sin is negative in the third quadrant so

sin a =-4/5.

Now use cosine difference formula

$- \frac{3}{5} \times \frac{5}{13} + - \frac {4}{5} \times \frac{12}{13}$

$- \frac{15}{65} + ( - \frac{48}{65} )$

$- \frac{63}{65}$

Hope this helps

6 0

2 years ago