Can the numeric value for the area of a circle ever equal the numeric value for the circumference of the same circle? Explain

What is the median for the set of data shown

klemol [59]

Answer: OPTION C

Step-by-step explanation:

By definition, the median is the middle number in the set.

Therefore, keeping the definition above on mind, to solve this problem the numbers must be arranged from least to greastest. In the figure shown in the problem, you can see that they are already arranged in this order. Therefore, the middle number in the set is:

14, 28, 33, 42, 53, 81, 97

Then, you can conclude that the median is: 42.

Therefore, the answer is the Option C.

8 0

3 years ago

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Write the following as an algebraic expression: 7 less than 3 times x.

Lady bird [3.3K]

Answer:

3-7x

Step-by-step explanation:

3 0

3 years ago

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An ipad is worth R1200, excluding 15% VAT. What is the selling price of the ipad including VAT

alukav5142 [94]

Answer:

R1,380

Step-by-step explanation:

The price of the iPad without VAT is R1200

We calculate 15% to get;

$= \frac{15}{100} \times 1200$

$= 180$

Now the selling price of the iPad including VAT

$1200 + 180$

$= 1380$

Therefore, the selling price of the ipad including VAT is R1380

7 0

3 years ago

What is 50 divide by 25 times 2 divided by 5 ?

klemol [59]

0.8 i think I’m not sure .

3 0

3 years ago

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If sinA+cosecA=3 find the value of sin2A+cosec2A

Irina18 [472]

Answer:

$\sin 2A + \csc 2A = 2.122$

Step-by-step explanation:

Let $f(A) = \sin A + \csc A$ , we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:

$\csc A = \frac{1}{\sin A}$ (1)

$\sin^{2}A +\cos^{2}A = 1$ (2)

Now we perform the operations: $f(A) = 3$

$\sin A + \csc A = 3$

$\sin A + \frac{1}{\sin A} = 3$

$\sin ^{2}A + 1 = 3\cdot \sin A$

$\sin^{2}A -3\cdot \sin A +1 = 0$ (3)

By the quadratic formula, we find the following solutions:

$\sin A_{1} \approx 2.618$ and $\sin A_{2} \approx 0.382$

Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

$\sin A \approx 0.382$

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

$A \approx 22.457^{\circ}$

Then, the values of the cosine associated with that angle is:

$\cos A \approx 0.924$

Now, we have that $f(A) = \sin 2A +\csc2A$ , we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used: