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3 years ago

Is the decimal form of 13/3 a rational number?

Mathematics

1 answer:

Arturiano [62]3 years ago

7 0

I would assume so since it is a repeating decimal.

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Find the measure of angle x in the figure below: A triangle is shown. At the top vertex of the triangle is a horizontal line ali

VLD [36.1K]

Answer:

$x=35^\circ$

Step-by-step explanation:

From the diagram which I have drawn and attached below:

$56^\circ+y+51^\circ=180^\circ$ (Sum of Angles on a Straight Line)\\y=180^\circ-(56^\circ+51^\circ)\\y=73^\circ$

Next, in the triangle, the sum of the three interior angles:

$y+x+72^\circ=180^\circ\\$Since y=73^\circ\\73^\circ+x+72^\circ=180^\circ\\x=180^\circ-(73^\circ+72^\circ)\\x=35^\circ$

The value of angle x is 35 degrees.

7 0

2 years ago

Help quick please with explain

Paul [167]

Answer:

20= v+9+( -16 )

20= v-( 7 )

27= v

Step-by-step explanation:

Adding a negative is the sane as subtracting. Add like terms. Add 7 to both sides. 27= v

8 0

2 years ago

Melissa runs a dog-boarding service. The cost to board a dog for one day is $25.00. If the same dog owner wants to board their d

myrzilka [38]

Answer: 25 + 15x ≤ 150

Step-by-step explanation: For this problem we will write an inequality to represent this situation.

Let x equal each additional day.

25 + 15x ≤ 150

The inequality above states that the dog owner will spend $25 for the first day and then for each additional day the dog owner will spend $15, but is budget is no more than $150 that the dog owner can spend.

7 0

3 years ago

Read 2 more answers

Hal has a steel barrel with a diameter of 6 feet that can be filled to a depth of 4.6 feet with oil. What is the volume of the b

scoray [572]

Answer:

129.996 cubic feet

Step-by-step explanation:

Assuming that the barrel is a perfect cylinder, we can use the formula to find the volume:

$\pi(r)^2(h)$

First, we have to find the radius, which is:

D = 2r

So the radius is 3 feet, since it is half of the diameter. Then, we plug in the values.

$3.14(3)^2(4.6)$

Now, we solve. Exponents are first...

3.14(9)(4.6)

Now multiply left to right.

28.26(4.6)

129.996 cubic feet

Therefore, the barrel can hold 129.996 cubic feet of oil. Hope this helps you!

3 0

2 years ago

Find the two straight lines represented by x² + 5xy - 6y² = 0

Andreyy89

By factorizing, we have

$x^2 + 5xy - 6y^2 = (x - y) (x + 6y) = 0$

so that

$x - y = 0 \implies \boxed{y = x}$

$x + 6y = 0 \implies \boxed{y = -\dfrac x6}$

3 0

1 year ago