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4 years ago

POSSIBLE POINTS 10

Mathematics

1 answer:

Blizzard [7]4 years ago

4 0

Answer: 2 hours

Step-by-step explanation:

If Candice can paint a room in 6 and Grace can paint one in 8 subtract and 6 and get 2 hours

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A hotel offers two activity packages. One costs $192 and includes 3 h

poizon [28]

Let x = Horseback riding and y = Parasailing

Eq. 1

3x + 2y = 192

Eq. 2

2x + 3y = 213

By elimination:

2(3x + 2y = 192)

+ -3(2x + 3y = 213)

-5y = - 255

y = $ 51

Substitute y :

3x + 2y = 192

3x + 2(51) = 192

x = $ 30

Hope this answer will be a good help for you.

3 0

3 years ago

If the endpoints of the diameter of a circle are (−8, −6) and (−4, −14), what is the standard form equation of the circle?

kondaur [170]

Equation of the circle is $(x+6)^{2}+(y+10)^{2}=20$ .

Solution:

The endpoints of the diameter of a circle are (–8, –6) and (–4, –14).

Center of the circle = Mid point of the diameter

Mid point formula:

$$P(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Here, $x_1=-8, y_1=-6, x_2=-4, y_2=-14$

$$P(x, y) =\left(\frac{-8-4}{2}, \frac{-6-14}{2}\right)$

$$P(x, y) =\left(\frac{-12}{2}, \frac{-20}{2}\right)$

$$P(x, y) =(-6, -10)$

Center of the circle = (–6, –10)

Radius is the distance between center and any endpoint of the diameter.

To calculate the radius using distance formula.

$r=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

Here, $x_1=-6, y_1=-10, x_2=-8, y_2=-6$

$r=\sqrt{\left(-8-(-6)\right)^{2}+\left(-6-(-10)}\right)^{2}}$

$r=\sqrt{(-8+6)^{2}+(-6+10)^{2}}$

$r=\sqrt{(-2)^{2}+(4)^{2}}$

$r=\sqrt{20}$ units

The standard form of the equation of a circle is

$(x-a)^{2}+(y-b)^{2}=r^{2}$ , where (a, b) are center and r is the radius.

Here, center = (–6, –10) and $r=\sqrt{20}$

$(x-(-6))^{2}+(y-(-10))^{2}={(\sqrt{20})} ^{2}$

$(x+6)^{2}+(y+10)^{2}=20$

Equation of the circle is $(x+6)^{2}+(y+10)^{2}=20$ .

4 0

3 years ago

A set of data collected to answer a statistical question has a distribution which can be described by its __________.

Lelechka [254]

All three is correct

3 0

3 years ago

Read 2 more answers

Find the value of x to the nearest tenth.

vladimir1956 [14]

Answer:

The answer to your question is x = 14.7

Step-by-step explanation:

Data

∠A = 20°

∠B = 46

a = 7

b = x

Process

To solve this problem use, the law of sines. This law states that the ratio of a side of a triangle to the sine of the opposite angle is the same for all three sides.

The law of sines for this problem is

x / sin 46 = 7 / sin 20

-Solve for x

x = 7 sin 46 / sin 20

-Simplification

x = 7 (0.719) / 0.342

x = 5.035/0.342

-Result

x = 14.7

6 0

4 years ago

3. Which value is not needed to construct a box plot?

victus00 [196]

The answer is d because

5 0

3 years ago