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2 years ago

Can someone’s please help

Mathematics

1 answer:

Fiesta28 [93]2 years ago

3 0

Answer:

4.87 ft

Step-by-step explanation:

The height of the skylight =

The height of the blue △ - the height of the red △

Let b ft be the height of the blue △.

sin 60° = $\frac{b}{25}$

b = 25 sin 60°

Let r ft be the height of the red △.

tan 40° = $\frac{r}{20}$

r = 20 tan 40°

The height of the skylight

= 25 sin 60° - 20 tan 40°

= 4.87 ft (rounded to the nearest hundredth)

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Simplify this expression (a^8a^6)^1/7/a^2

ArbitrLikvidat [17]

Answer: 1

Step-by-step explanation: Whenever you take the power of a power, the find the answer you can multiply the two exponents, for example:

(x^3)^4 = x^12

We will use that here.

a^8a^6 = a^14

((a^14)^1/7) = (a^2)/a^2

Our answer is 1

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3 years ago

Plz help me well mark brainliest if correct........?

grigory [225]

Answer:

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Step-by-step explanation:

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2 years ago

57. What number is 25% of 32?

horrorfan [7]

57. 8
58. 8
59. 24
60. 11.25 or 11
61. 20.52 or 21
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63. 7.37 or 7
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5 0

3 years ago

Hank has to drain his pool so repairs can be done on a crack on the bottom. The company coming to fix the pool is scheduled to a

Alik [6]

Answer:

The answer to the question: "Will Hank have the pool drained in time?" is:

Yes, Hank will have the pool drained in time.

Step-by-step explanation:

To identify the time Hank needs to drain the pool, we can begin with the time Hank has from 8:00 AM to 2:00 PM in minutes:

Available time = 6 hours * 60 minutes / 1 hour (we cancel the unit "hour")
Available time = 360 minutes

Now we know Hank has 360 minutes to drain the pool, we're gonna calculate the volume of the pool with the given measurements and the next equation:

Volume of the pool = Deep * Long * Wide
Volume of the pool = 2 m * 10 m * 8 m
Volume of the pool = 160 m^3

Since the drain rate is in gallons, we must convert the obtained volume to gallons too, we must know that:

1 m^3 = 264.172 gal

Now, we use a rule of three:

If:

1 m^3 ⇒ 264.172 gal
160 m^3 ⇒ x

And we calculate:

$x = \frac{160 m^{3}*264.172 gal }{1m^{3} }$ (We cancel the unit "m^3)
x = 42267.52 gal

At last, we must identify how much time take to drain the pool with a volume of 42267.52 gallons if the drain rate is 130 gal/min:

Time to drain the pool = $\frac{42267.52gal}{130\frac{gal}{min} }$ (We cancel the unit "gallon")
Time to drain the pool = 325.1347692 minutes
Time to drain the pool ≅ 326 minutes (I approximate to the next number because I want to assure the pool is drained in that time)

As we know, Hank has 360 minutes to drain the pool and how it would be drained in 326 minutes approximately, we know Hank will have the pool drained in time and will have and additional 34 minutes.

7 0

2 years ago

A tourist purchases a car in england and ships it home to the united states. the car sticker advertised that the car's fuel cons

Valentin [98]

Solution-

Fuel consumption rate = 40 miles per UK gallon (As the car is manufactured in UK)

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1 US gallon = 3.7853060 lit

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