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DedPeter [7]
2 years ago
5

Apex Learning Study 4.2.1 What units do you use to report the area of a circle with a radius of 50 feet?

Mathematics
1 answer:
klasskru [66]2 years ago
3 0

Answer:

<h3>             in square feet</h3>

Step-by-step explanation:

Area of anything is<u> allways </u>reported <u>in square units</u>. Usually that is square of given unit because it's the simplest way:

R = 50 ft

A = πR² = π•(50 ft)² = π • 50 ft • 50 ft = 2500π ft² ≈ 7854 ft²

{Of course you can re-calculate the units, ex.:

3 feet = 1 yard so 50 ft = 50/3 yd then

A = πR² = π•(50/3 yd)² = π • 50/3 yd • 50/3 yd = 2500/9 π yd² ≈ 872.7 yd² }

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What phrases can be represented by the algebraic expression 12 over w
Nimfa-mama [501]

12/w or 12 divided by w

4 0
2 years ago
Read 2 more answers
Express the first quantity as a percentage of second quantity $45, $120.
Pachacha [2.7K]

Answer: 37.5%

Step-by-step explanation:

Percentage = Given Quantity/Total Quantity*100

So here, it will be like: 45/120*100

                                    =0.375*100

                                    =37.5%

5 0
2 years ago
5. Find the discriminant of 15x2 = 4x – 1 and describe
diamong [38]

Answer:

a) The discriminant of the equation =  - 44

b)The nature of the roots will be imaginary.

c) x = \frac{2 +\sqrt{11} i}{15}  or, x = \frac{2 - \sqrt{11} i}{15}

Step-by-step explanation:

Here, the given expression is 15x^{2}  = 4x -1

or, 15x^{2}  -  4x + 1   = 0

Now the discriminant (D) of a quadratic equation ax^{2}  +b x + c   = 0

D = b^{2}   -  4ac  = (-4)^{2}  -  4(15) (1)  = 16 - (60) = -44

Hence, the discriminant of the equation =  - 44

As D< 0, so the roots will be imaginary.

Now,by quadratic formula : x = \frac{-b \pm \sqrt{b^{2}  - 4ac} }{2a}

So, here x = \frac{-(-4) \pm \sqrt{D} }{2a}  = \frac{4 \pm \sqrt{(-44 )} }{30}

So, either x = \frac{4 + \sqrt{(-44 )} }{30} or, x =  \frac{4 - \sqrt{(-44 )} }{30}

or, x = \frac{2 +\sqrt{11} i}{15}  or, x = \frac{2 - \sqrt{11} i}{15}

8 0
2 years ago
A total of 504tickets were sold for the school play. They were either adult tickets or student tickets. There were 54more studen
LuckyWell [14K]

Answer:

225 adult tickets

Step-by-step explanation:

S: no. of students

A: no. of adults

S = A + 54

S + A = 504

A + A + 54 = 504

2A = 450

A = 225

S = 225 + 54

S = 279

3 0
3 years ago
In London today, four times the high temperature was more than twice the high temperature plus
4vir4ik [10]

Answer:

Let's define the high temperature as T.

We know that:

"four times T, was more than 2*T plus 66°C"

(i assume that the temperature is in °C)

We can write this inequality as:

4*T > 2*T + 66°C

Now we just need to solve this for T.

subtracting 2*T in both sides, we get:

4*T - 2*T > 2*T + 66°C - 2*T

2*T > 66°C

Now we can divide both sides by 2:

2*T/2 > 66°C/2

T > 33°C

So T was larger than 33°C

Notice that T = 33°C is not a solution of the inequality, then we should use the symbol ( for the set notation.

Then the range of possible temperatures is:

(33°C, ...)

Where we do not have an upper limit, so we could write this as:

(33°C, ∞°C)

(ignoring the fact that ∞°C is something impossible because it means infinite energy, but for the given problem it works)

4 0
2 years ago
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