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3 years ago

What is the distance between (-6,8) and (-3,9)?

Mathematics

1 answer:

atroni [7]3 years ago

6 0

Answer:

The answer is C.

Step-by-step explanation:

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Find the probability that the dart lands in the shaded circular region. The radius of the dartboard is 4 in, and the radius of t

PilotLPTM [1.2K]

Answer: The required probability is 0.25.

Step-by-step explanation:

Since we have given that

Radius of the dartboard = 4 in

Area of the dartboard is given by

$\pi r^2=3.14\times (4)^2=3.14\times 16=50.24\ in^2$

Radius of the shaded region = 2 in

Area of shaded region is given by

$\pi r^2=3.14\times (2)^2=12.56\ in^2$

So, the probability that the dart lands in the shaded circular region is given by

$\dfrac{12.56}{50.24}=0.25$

Hence, the required probability is 0.25.

8 0

3 years ago

An object is launched from ground level with an initial velocity of 120 meters per second. For how long is the object at or abov

babunello [35]

Answer:

D) 14 seconds

Step-by-step explanation:

First we will plug 500 in for y:

500 = -4.9t² + 120t

We want to set this equal to 0 in order to solve it; to do this, subtract 500 from each side:

500-500 = -4.9t² + 120t - 500

0 = -4.9t²+120t-500

Our values for a, b and c are:

a = -4.9; b = 120; c = -500

We will use the quadratic formula to solve this. This will give us the two times that the object is at exactly 500 meters. The difference between these two times will tell us when the object is at or above 500 meters.

The quadratic formula is:

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Using our values for a, b and c,

$x=\frac{-120\pm \sqrt{120^2-4(-4.9)(-500)}}{2(-4.9)}\\\\=\frac{-120\pm \sqrt{14400-9800}}{-9.8}\\\\=\frac{-120\pm \sqrt{4600}}{-9.8}\\\\=\frac{-120\pm 67.8233}{-9.8}\\\\=\frac{-120+67.8233}{-9.8}\text{ or }\frac{-120-67.8233}{-9.8}\\\\=\frac{-57.1767}{-9.8}\text{ or }\frac{-187.8233}{-9.8}\\\\=5.3242\text{ or }19.1656$

The two times the object is at exactly 500 meters above the ground are at 5 seconds and 19 seconds. This means the amount of time it is at or above 500 meters is

19-5 = 14 seconds.

6 0

3 years ago

What is 2+6 100 points the answer is 8 right?

Elan Coil [88]

Answer:

yes it is 8

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

If you invest $823 at an interest rate of 3 percent,how much money will you have in total afer nine years?

valentinak56 [21]

Answer:

$1,045.21

Step-by-step explanation:

7 0

3 years ago

The perimeter of the base of a regular quadrilateral prism is 60 cm, the area of a lateral face is 105 cm2. Find: the volume of

Harman [31]

Since the base is a regular quadrilateral, each of its 4 sides must have length
s = P/4
s = (60 cm)/4 = 15 cm

The area of one lateral face is the product of side length and height.
A = s×h
105 cm² = (15 cm)×h
Then the height of the prism is
h = (105 cm²)/(15 cm) = 7 cm

The area of the base is then
B = s²
B = (15 cm)² = 225 cm²

The volume of the prism is the product of its base area and height.
V = Bh
V = (225 cm²)×(7 cm) = 1575 cm³

The volume is 1575 cm³.

5 0

3 years ago