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2 years ago

10

an HDTV has a width to height ratio of 16 : 9 your family wants a TV that will fit on a shelving unit that is 42 wide your broth

er says your new TV will likely have the height of 24 do you agree with him. justify your answer

1 answer:

rusak2 [61]2 years ago

5 0

Answer:

Step-by-step explanation:

h/w=9/16

h/42=9/16

h=42(9)/16

h=23.625

It will be 3/8 in less than 24 in, but 24 was a good guess. :)

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After 4,000 gallons of water were added to a large water tank that was already filled to 3/4 of its capacity, the tank was then

dangina [55]

Answer: The correct option is

(E) 80,000.

Step-by-step explanation: Given that after adding 4,000 gallons of water to a large tank that was already filled to $\dfrac{3}{4}$ of its capacity, the tank was then at $\drac{4}{5}$ of its capacity.

We are to find the number of gallons of water that the tank hold when filled to capacity.

Let the tank can hold x gallons of water when filled to capacity.

Then, according to the given information, we have

$\dfrac{3}{4}x+4000=\dfrac{4}{5}x\\\\\\\Rightarrow \dfrac{4}{5}x-\dfrac{3}{4}x=4000\\\\\\\Rightarrow \dfrac{16-15}{20}x=4000\\\\\Rightarrow x=4000\times20\\\\\Rightarrow x=80000.$

Thus, the required capacity of the tank is 80,000 gallons of water.

Option (E) is CORRECT.

4 0

3 years ago

Please help, I’ll mark your answer as brainliest!

statuscvo [17]

Answer:

$(x-230)^2+(y-220)^2=6100$

Step-by-step explanation:

The equation for a circle is $(x-h)^2+(y-k)^2=r^2$ , where $(h,k)$ is the vertex of the circle and $r$ is the radius. Immediately, since the center of the circle is given, we know what $h$ and $k$ are. $h$ is 230 and $k$ is 220.

The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the <u>distance formula</u>, which is really just the <u>Pythagorean Theorem</u> rearranged. The formula states that $d=\sqrt{x^2+y^2}$ , where $x$ is the change in the x-coordinates of the two points and $y$ is the change in the y-coordinates of the two points. Plug-in $x$ for 60 and $y$ for 50 to get $d=\sqrt{50^2+60^2}$ . Solve for $d$ , arriving at $\sqrt{6100}$ . Therefore, the radius of the circle is $\sqrt{6100}$ .

Finally, we have all of the components to create the equation of the circle. Plug-in 230 for $h$ , 220 for $k$ , and $\sqrt{6100}$ for $r$ .

The equation of the circle will be $(x-230)^2+(y-220)^2=6100$ .

Hope this helps :)

4 0

1 year ago

A local carpet company has been hired to carpet a planetarium which is in the shape of a circle. If the radius of the planetariu

dem82 [27]

We are given radius = 6 yards

area of circle = pi * r * r = 3.14 * 6*6 = 113.04 yard square

cost of carpet is $14 per square yard

cost of 113.04 square yard = 14*113.04= 1582.56 dollars

Answer: cost to carpet the planetarium is $1582.56

7 0

2 years ago

Select all true statements

bixtya [17]

Answer:

f(x) has a larger growth rate

f(x) is always greater than g(x)

Step-by-step explanation:

f(x) = 2/5 x

g(x) = -2x

the slope of f(x) when graphed is 2/5 x, which is a positive value making it a larger growth rate than g(x) and it also will always be greater since the value of f(x) is positive

therefore the correct true statements are:

f(x) has a larger growth rate, and f(x) is always greater than g(x)

8 0

2 years ago

Read 2 more answers

Is -4 greater than -4.25?

iVinArrow [24]

Answer:

Yes

Step-by-step explanation:

The smaller the negative number, the greater it is. i.e., -230 < -9.

6 0

2 years ago

Read 2 more answers