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2 years ago

And Mr. Sneed's classroom there are 108 tiles and nine lights what is the ratio of lights to tiles in Mr. Sneed's class

Mathematics

1 answer:

Nastasia [14]2 years ago

7 0

The ratio is 1:12 .......

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A reflecting pool is shaped like a right triangle, with one leg along the wall of a building. The hypotenuse is

maria [59]

Answer:

8 ft, 15 ft, 17 ft

Step-by-step explanation:

Let x feet be the length of the side along the building. If the hypotenuse is 9 feet longer than the side along the building, then the length of the hypotenuse is x+9 feet. If the third side is 7 feet longer than the side along the building, then the length of the third side is x+7 feet.

This triangle is right triangle. By the Pythagorean theorem,

$x^2+(x+7)^2=(x+9)^2,\\ \\x^2+x^2 +14x+49=x^2+18x+81,\\ \\x^2-4x-32=0,\\ \\D=(-4)^2-4\cdot 1\cdot (-32)=16+128=144,\\ \\x_{1,2}=\dfrac{-(-4)\pm\sqrt{144}}{2\cdot 1}=\dfrac{4\pm12}{2}=-4,\ 8.$

The length of the side cannot be negative, thus x=8 ft. Then x+7=15 ft, x+9=17 ft.

8 0

2 years ago

Solve: 16/9 = 40/g<br> 640<br> 360<br> 71.1<br> 22.5

Alla [95]

Answer:

g=22.5

Step-by-step explanation:

To solve, cross multiply

16/9=40/g

16*g=40*9

16g=360

Divide both sides by 16

16g/16=360/16

The 16s on the left will cancel, leaving us with

g=22.5

So, g=22.5, and the correct choice is the last one

6 0

2 years ago

The curved surface area of a cylinder is 880cm2 and its volume is 770cm3.Find its diameter and height.

natima [27]

Answer:

The height of cylinder is: h = 80.07 cm

The diameter of cylinder is: d = 3.5 cm

Step-by-step explanation:

Curved surface area of cylinder = 880 cm^2

Volume of cylinder = 770 cm^3

We need to find its diameter and height.

The formula used are:

$Curved\: surface\: area=2\pi rh\\Volume=\pi r^2h$

If we divide volume by curved surface, we can find radius

$\frac{Volume}{Curved\: surface\: area}=\frac{\pi r^2h}{2\pi rh} \\\frac{770}{880}=\frac{r}{2}\\0.875= \frac{r}{2}\\=> r= 0.875\times 2\\r=1.75$

So, we get radius r = 1.75

Now, we can find height using curve surface area formula:

$Curved\: surface\: area=2\pi rh\\880=2(3.14)(1.75)h\\h=\frac{880}{10.99}\\h=80.07 \:cm$

So, the height of cylinder is: h=80.07 cm

Now finding diameter using formula: $d=2r$

Putting value of r in above formula:

$d=2r\\d=2(1.75)\\d=3.5\:cm\\$

So, the diameter of cylinder is: d = 3.5 cm

5 0

2 years ago

Just making sure I got this right.

Anon25 [30]

The area is 32 because l x w is the formula of area, and 8 x 4 = 32.

6 0

3 years ago

What is the value of 1/2+1/3

RideAnS [48]

Answer:

5/6

Step-by-step explanation:

1/2=3/6

1/3=2/6

______

5/6

4 0

2 years ago