1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
oee [108]
3 years ago
10

the Piney Creek Swim Club is preparing for the opening day of the summer season the full hold 22, 410 gallon of water, and water

is being Pumped at 540 gallons per hour. The Swim Club has its first practice in 42 hours. Will the pool be full in time? explain your answer.
Mathematics
1 answer:
Katen [24]3 years ago
8 0
Yes the pool will be filled in 41.5 hours
You might be interested in
In ΔBCD, the measure of ∠D=90°, the measure of ∠C=77°, and CD = 41 feet. Find the length of BC to the nearest foot.
OLga [1]

Answer:

182 ft

Step-by-step explanation:

When you are not given a diagram, always draw one for yourself (see diagram).

When you have a right triangle (triangle with 90° angle), you can use the trigonometry ratios, You can remember them using SohCahToa. It is read like this:

<u>s</u>inθ = <u>o</u>pposite/<u>h</u>ypotenuse           Soh

<u>c</u>osθ = <u>a</u>djacent/<u>h</u>ypotenuse          Cah

<u>t</u>anθ = <u>o</u>pposite/<u>a</u>djacent                Toa

"θ" means the angle of reference (the angle you are talking about).

We are looking for the length of BC, which is the <u>hypotenuse</u>. I labelled it "d" (lowercase D) because it is opposite to ∠D.

We know ∠C = 77°. This will be our angle of reference (replace θ).

The side we know is DC, also known as "b" (lowercase B) because it's opposite to ∠B. "b" is the <u>adjacent</u> side when θ = C because "b" is touching ∠C.

Take the general trig. formula that has <u>hypotenuse</u> and <u>adjacent</u>: (cosine ratio)

cosθ = adjacent/hypotenuse

Substitute the variables specific for this problem.

cosC = b/d

Substitute the values you know.

cos77° = (41 ft) / d

Isolate "d" to the left side

dcos77° = d*\frac{41ft}{d}     Multiply both sides by "d"

dcos77° = 41 ft                          

dcos77° / cos77° = 41 ft / cos77°        Divide both sides by cos77°

d = 41 ft / cos77°                      Input into calculator

d = 182.261874....... ft           Unrounded answer

d ≈ 182 ft                       Rounded to nearest foot (whole number)

Remember d = BC. It's often easier to use one letter for calculations.

Therefore the length of BC is about 182 feet.

8 0
3 years ago
Steven is researching prices on living room sofas in order to determine what a typical sofa costs. Which statement correctly exp
Hatshy [7]

Answer:

the answer is c because it can be either greatly increased or decreased

8 0
2 years ago
Identify the equation in standard form of the line that passes through the point (6,−8) and has the slope of −2 .
Arturiano [62]

Answer:

y = -2x + 4

Step-by-step explanation:

y = -2x + b

-8 = -2(6) + b

-8 = -12 + b

4 = b

6 0
3 years ago
Which expression does the model represent?
Fed [463]

Answer:

a

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What is measure of arc NP?
KatRina [158]
Are you learning how to arc things
4 0
3 years ago
Read 2 more answers
Other questions:
  • How many teaspoons are in a quart
    7·1 answer
  • A piece of aluminium has a volume of 7.0cm^3 density of 3.50g\cm^3 what is its mass????
    8·1 answer
  • How do you estimate 52% of 84?
    15·1 answer
  • Can someone plz help me with this question
    8·1 answer
  • Need help with inscribed angles If M
    6·1 answer
  • For a certain experiment, the available experimental units are 12 people-six females
    6·1 answer
  • Item 18
    5·2 answers
  • Helpppp pleaseeeee✋​
    15·2 answers
  • A piece of wood for a sign is shaped like a parallelogram with a base length of 14 inches and a height of 9 inches. A small tube
    7·1 answer
  • ΔAXY is similar to ΔABC.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!