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2 years ago

Which of the segments below is a secant

Mathematics

2 answers:

emmainna [20.7K]2 years ago

8 0

Answer:

That is B. XY.

Step-by-step explanation:

A secant is a line that intersects the circle at 2 points.

ser-zykov [4K]2 years ago

6 0

Answer:

Step-by-step explanation:

A secant is a line which intersects a circle at 2 points

From the diagram this is XY → B

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Pythagorean theorem

marta [7]

Answer:

x = 8

Step-by-step explanation:

$a^{2} +b^{2} =c^{2} \\$ so $8^{2} +b^{2} =\sqrt{80} ^{2}$

rearrange the formula:

$\sqrt{80} ^{2} - 8^{2} = b^{2}$

$80 - 64 = b^2$

$b^2 = 16\\$ $b = \sqrt{16}$

$\sqrt{16} = 4$

$x = 4+4 = 8$

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3 years ago

Complete the table. Earning Commission<br><br> Sales=768 Commission rate=4% Commission=?

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$\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{4\% of 768}}{\left( \cfrac{4}{100} \right)768}\implies 30.72$

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3 years ago

What is the square route of 30

rjkz [21]

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3 years ago

Read 2 more answers

Emmanuel sections off a part of the backyard of his house to build the rectangular stone patio for his grill. The length of the

liq [111]

Answer: x + 3feet

Step-by-step explanation:

From the question, Emmanuel sections a part of his house backyard in order to build the rectangular stone patio for his grill. We are told that the length of the base is going to be 3 feet more than the width and the width has been defined as x.

Since the length of the base will be 3 feet more than the width and the width is x. Therefore, the length will be:

Length = x + 3feet

5 0

3 years ago

A restaurant operator in Accra has found out that during the lockdown,if she sells a plate of her food for Ghc 20 each,she can s

ella [17]

The demand equation illustrates the price of an item and how it relates to the demand of the item.

The slope of the demand function is -1/2
The equation of the demand function is: $R(x) = (300 - 10x) \times (20 + 5x)$
The price that maximizes her revenue is: Ghc 85

From the question, we have:

$Plates = 300$

$Price = 20$

The number of plates (x) decreases by 10, while the price (y) increases by 5. The table of value is:

$\begin{array}{cccccc}x & {300} & {290} & {280} & {270} & {260} \ \\ y & {20} & {25} & {30} & {35} & {40} \ \end{array}$

The slope (m) is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

So, we have:

$m = \frac{25-20}{290-300}$

$m = \frac{5}{-10}$

$m = -\frac{1}{2}$

The equation of the demand is as follows:

The initial number of plates (300) decreases by 10 is represented as: (300 - 10x).

Similarly, the initial price (20) increases by 5 is represented as: (20 + 5x).

So, the demand equation is:

$R(x) = (300 - 10x) \times (20 + 5x)$

Open the brackets to calculate the maximum revenue

$R(x) =6000 + 1500x - 200x - 50x^2$

$R(x) =6000 + 1300x - 50x^2$

Equate to 0

$6000 + 1300x - 50x^2 =0$

Differentiate with respect to x

$1300 - 100x =0$

Collect like terms

$100x =1300$

Divide by 100

$x =13$

So, the price at maximum revenue is:

$Price= 20 + 5x$

$Price= 20 + 5 * 13$

$Price= 85$

In conclusion:

The slope of the demand function is -1/2
The equation of the demand function is: $R(x) = (300 - 10x) \times (20 + 5x)$
The price that maximizes her revenue is: Ghc 85