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Kipish [7]
4 years ago
8

The product of two rational numbers is -28/81. If one of them is -2/3, then find the other.

Mathematics
2 answers:
Lubov Fominskaja [6]4 years ago
5 0

Answer:

14/27

Step-by-step explanation:

Let x be the unknown number

-2/3 * x = -28/81

Multiply each side by -3/2

-3/2*-2/3 * x = -28/81 * -3/2

x = 28/2 * 3/81

x =14*1/27

x = 14/27

lakkis [162]4 years ago
4 0

Answer:

14/27

Step-by-step explanation:

Let x be the other number

x × -2/3 = -28/81

x = -28/81 × -3/2

x = 14/27

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I ALREADY ASKED THIS QUESTION BUT SINCE NO ONE ACTUALLY HELPED ME IM ASKING AGAIN BC I REALLY NEEDA TURN IT IN SO PLEASEEE HELP!
stich3 [128]

Answer:

A. 19.3ft     B. 5.2ft

Step-by-step explanation:

So the ladder leaning against the wall forms a triangle. The hypotenuse of

triangle is the ladder (20) and the angle given between ladder an ground is 75 degrees. Use trig to find the height of the wall which is the leg of the triangle.

Sine of Angle is opposite side/hypotenuse

Cosine of Angle is adjacent side/hypotenuse

so     Sine of 75 degrees  =  Wall height/20

Wall height = 20 times Sine of 75 degrees

Sine of 75 degrees = .9659

20 times (.9659) = 19.3ft

So now use Cosine to find the other leg of the triangle (the distance between the bottom of ladder to the wall)

Cosine of 75 degrees  = Distance wall to base of ladder / 20

Cosine of 75 degrees = .2588

20 times (.2588) = 5.2ft

7 0
3 years ago
The value of a certain car decreases by 16% each year. What is the 1⁄2-life of the car?
svet-max [94.6K]

Answer:

The half life of the car is 3.98 years.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

V(t) = V(0)(1-r)^{t}

In which V(0) is the initial value and r is the constant decay rate, as a decimal.

The value of a certain car decreases by 16% each year.

This means that r = 0.16

So

V(t) = V(0)(1-r)^{t}

V(t) = V(0)(1-0.16)^{t}

V(t) = V(0)(0.84)^{t}

What is the 1⁄2-life of the car?

This is t for which V(t) = 0.5V(0). So

V(t) = V(0)(0.84)^{t}

0.5V(0) = V(0)(0.84)^{t}

(0.84)^{t} = 0.5

\log{(0.84)^{t}} = \log{0.5}

t\log{0.84} = \log{0.5}

t = \frac{\log{0.5}}{\log{0.84}}

t = 3.98

The half life of the car is 3.98 years.

7 0
4 years ago
Suppose the teacher surveys one student at random. Based on the survey results, what is the estimated probability that the stude
lys-0071 [83]

Answer:

50% probably

Step-by-step explanation:

well how many options are there

think 1/? ? being how many options there are and 1 being the 1 option to pick aquarium

3 0
3 years ago
Tell whether the lines through the given points are parallel, perpendicular, or neither. Explain.
mina [271]

Answer:

parallel

Step-by-step explanation:

find the slope of each line

Line 1   (5-2)/(-4-2) = 3/-6 =-1/2

Line 2  (-4--9)/(-6-4)= 5/-10 = -1/2

5 0
3 years ago
If 4 people ate at a restaurant. If each person paid an equal amount who would save the most money
Crank

Answer:

You will want to add up the total for all four guests (The one after you added the tip) and then since you want to split it evenly, you can multiply it by 1/4.

3 0
3 years ago
Read 2 more answers
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