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3 years ago

Is 9.307 greater than 9.37

Mathematics

1 answer:

arlik [135]3 years ago

4 0

Answer:

No because 9.307 is less than due the facts that the seven in 9.307 is in the thousandth while the seven in 9.37 is in the hundredths

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A rectangular plot of land is 100 feet long and 50 feet wide. how long is the walkway along the diagonal? round to the nearest f

Savatey [412]

Answer:

c. 112 ft

Step-by-step explanation:

the diagonal of a rectangle creates a right-angled triangle with a length and a width of the rectangle (the diagonal is the Hypotenuse or baseline).

and this means we can use Pythagoras :

c² = a² + b²

with c being the Hypotenuse (the baseline opposite of the 90° angle).

diagonal² = 100² + 50² = 10000 + 2500 = 12500

diagonal = sqrt(12500) = 111.8033989... ft ≈ 112 ft

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2 years ago

A 12-pack of soda costs $6.30 what is the cost per can

Naddika [18.5K]

6.30 dollars / 12 sodas = $0.525 cents each soda

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2 years ago

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Convert: 96°F to °C (to the mearest tenth)

Novosadov [1.4K]

96°F = 35,5556°C ≈ 35,6°C

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4 years ago

Given a radius of 9 inches, estimate the length of arc s to the nearest hundredth.

malfutka [58]

The question is incomplete, here is the complete question:

Given a radius of 9 inches intercepted by the central angle 60°. Estimate the length of arc 'S' to the nearest hundredth.

<u>Answer:</u> The arc length of the circle is 9.42 inches

<u>Step-by-step explanation:</u>

To calculate the length of the arc, we use the formula:

$S=2\pi r(\frac{\theta}{360})$

where,

S = arc length = ?

r = radius of the circle = 9 inches

$\theta$ = central angle = 60°

Putting values in above equation, we get:

$S=2\times 3.14\times 9\times (\frac{60}{360})\\\\S=9.42in$

Hence, the arc length of the circle is 9.42 inches

6 0

3 years ago

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Cynthia Besch wants to buy a rug for a room that is 1919 ft wide and 2727 ft long. She wants to leave a uniform strip of floor a

yulyashka [42]

Answer:

The dimension of the rug would be 17 ft × 9 ft.

Step-by-step explanation:

Given

length of the room = 27 ft.

width of the room = 19 ft.

suppose, she leaves a uniform strip of x ft. around the rug.

So,

The length of rug = (27-2x)ft.

Width of rug= (19-2x)ft.

∴ Area of the rug= length×width

$= (27-2x)(19-2x)$

$= 513-54x-38x+4x^2$

$= 513-92x+4x^2$

According to the question,

$513-92x+4x^2=153$

$513-92x+4x^2-153=0$ ( subtract 153 both sides)

$4x^2-92x+360=0$

$4(x^2-23x+90)=0$

$x^2-23x+90=0$

$x^2-(18+5)x+90=0$ ( Middle term splitting)

$x^2-18x-5x+90=0$

$x(x-18)-5(x-18)=0$

$(x-5)(x-18)=0$

$x-5=0$ or $x-18=0$ ( zero product property)

$x=5$ or $x=18$

if x=18, dimension would be negative ( Not possible)

Thus, x= 5

Hence,

length of rug= 27-10=17 ft.

width of rug= 19-10=9 ft.

8 0

4 years ago