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3 years ago

What is the domain of the function in the graph?

Mathematics

1 answer:

Tpy6a [65]3 years ago

8 0

The answer is A.
D= 6<=x<=11

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If sine theta equals three over four, what are the values of cos θ and tan θ?

ratelena [41]

Answer:

In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus three over root seven

Step-by-step explanation:

Given that sin ∅ =3/4 It means the ratio of the opposite side to the hypotenuse side is 3:4.

Using the Pythagoras theorem we can calculate the hypotenuse adjacent as follows.

a²+b²=c²

a²=c²-b²

a²=4²-3²

a²=16-9

a²=7

a=√7

Then Cos ∅= opposite/ adjacent

=√7/4

Then Tan ∅ = opposite/adjacent

=3/√7

In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus three over root seven.

7 0

3 years ago

A farmer wants to construct a rectangular pigpen so only 3 sides of the pen will need to be fenced. If the farmer has 400 ft of

Fofino [41]

Answer:

The answer is " $\bold{100\ ft \times 200\ ft}$ "

Step-by-step explanation:

A = area of the pigpen

x = its perpendicular length of the sides of the stone wall

Maximize function:

$\to A = x (400-2x)\\\\Where\ \ 0$

So, the size of pigpen is = 100 ft by 200 ft that is (perpendicular and parallel to wall), that's why the answer is " $\bold{100\ ft \times 200\ ft}$ "

3 0

2 years ago

A worker at a mill is loading 5-lb bags of flour into boxes to deliver to a local warehouse. Each box holds 8 bags of flour. If

Kitty [74]

10 bags of flour on fulfill

5 0

3 years ago

Which inequality is shown in the graph?

sergij07 [2.7K]

Answer:

The answer to your question is: letter C

Step-by-step explanation:

Data

Find the Parabola's equation and express the equation as an inequality.

Vertex = (0, -5)

Equation

(x- h) ² = 4p(y - k)

x² = y + 5

y = x² - 5

But, we need the area upper the parabola, then

y ≥ x² - 5

5 0

3 years ago

A hairdryer transfers 36,000J in one minute, what is the power rating of the hairdryer?

Verdich [7]

Answer:

1. 600 watts

2. 35640 J

3. 55%

4. 20 J

5. The cost of running the fire is 8p.

Step-by-step explanation:

1. Energy = 36 000 J , t = 1 minute = 60 seconds

Power = $\frac{energy}{time}$

= $\frac{36000}{60}$

= 600 watts

2. Power = $\frac{work done}{time}$

⇒ work done = Power × time

= 99 × 360

= 35640 J

3. Efficiency = (Output / Input) × 100

= $\frac{55}{100}$ × 100

= 55%

4. Work done = Force × distance

= 5 × 4

= 20 J

5. Given that 1 KWh cost 2p, Power = 4 KW and time = 4 hours.

Power = $\frac{energy}{time}$

Energy = Power × time

= 4 × 4

= 16 KWh

The cost of running the fire = $\frac{16}{2}$

= 8p

3 0

3 years ago