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2 years ago

Luca has a box of dog toys. There are 3 bones, 5 balls, and a stuffed animal. What is the ratio of balls to stuffed animals?

Mathematics

1 answer:

Anna007 [38]2 years ago

5 0

The answer would be D. 1:5 since there is 1 stuffed animal and 5 balls.

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Javier writes an integer on a piece of paper. The absolute value of his number is less than 4. Which is true of the possible val

alex41 [277]

Answer:

The possible values are less than 4 but greater than –4

Step-by-step explanation:

If the absolute value of integer number is less than 4 then it is 0, 1, 2 or 3.

so the possible integer numbers are: -3, -2, -1, 0, 1, 2 or 3.

All of them are greater than -4 and less than 4

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3 years ago

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What type of angle is this?

lubasha [3.4K]

Answer:

Obtuse

Step-by-step explanation:

Because of more than 90 degrees.

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2 years ago

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What is the length of the unknown side

KatRina [158]

Answer: ↓↓↓

Step-by-step explanation:

1. a = ? b = 16 c = 18

a² + b² = c²

a² + (16)² = (18)²

a² + 256 = 324

- 256 -256

a² = 68

√a² = √68

a ≈ 8.25

2. a = 4 b = 8 c = ?

a² + b² = c²

(4)² + (8)² = c²

16 + 64 = c²

80 = c²

√c² = √80

c ≈ 8.94

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2 years ago

The swimming pool is open when the high temperature is higher than 20^\circ\text{C}20 ? C20, degree, C. Lainey tried to swim on

Svetlanka [38]

Answer:

$30-3d\leq 20$

Step by step explanation:

Let d represent the rate of temperature decrease in degrees Celsius per day from Monday to Thursday.

As temperature decreased at a constant rate in the next 3 days, so the rate of temperature will decrease 3d degree Celsius in 3 days.

We are told that the pool was open on Monday. The high temperature was $30^{\circ}{\text{C}$ on Monday. So the decrease in temperature from Monday to Thursday will be $30-3d$ .

We have been given that the swimming pool is open when the high temperature is higher than $20^{\circ}{\text{C}$ .

As the pool was closed on Thursday. This means that temperature on Thursday was less than or equal to 20 degree Celsius. We can represent this information in an inequality as:

$30-3d\leq 20$

Therefore, the inequality $30-3d\leq 20$ can be used to determine the rate of temperature decrease in degrees Celsius per day, d, from Monday to Thursday.

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3 years ago

What value of x would make rq tangent to Circle P at point Q?

Novay_Z [31]

If Q is tangent to circle P, that means that it is perpendicular to the radius at the point of tangency. This means that ΔPRQ would be a right triangle. We can use the Pythagorean theorem to solve this.
9² + 12² = (x+9)²
We use x+9 because the unknown segment x would combine with the radius, 9, to give that side of the triangle (the hypotenuse).
81 + 144 = (x+9)(x+9) ---- remember that squared means multiplied by itself
225 = (x+9)(x+9)
Multiply the right hand side:
225 = x² + 9x + 9x + 81
225 = x² + 18x + 81
Subtract 225 from both sides:
225 - 225 = x² + 18x + 81 - 225
0 = x² + 18x - 144
Use the Quadratic Formula to solve:
$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}
\\
\\x=\frac{-18 \pm \sqrt{18^2-4(1)(-144)}}{2(1)}
\\
\\x=\frac{-18 \pm \sqrt{324--576}}{2}
\\
\\x=\frac{-18 \pm \sqrt{324+576}}{2} = \frac{-18 \pm \sqrt{900}}{2}$
This gives us
$x=\frac{-18 \pm 30}{2} = \frac{-18+30}{2} \text{ or } \frac{-18-30}{2}$
Since -18 - 30 = -48, and a negative number doesn't make sense in this situation, we have
x = (-18+30)/2 = 12/2 = 6.

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3 years ago

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