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3 years ago

Line ET is a tangent to circle A at point T and the measure of ∠TNG is 25°

Mathematics

1 answer:

Alina [70]3 years ago

8 0

Check the picture below.

recall that all internal angles in a triangle add up to 180°.

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1. Solve the equation using the zero-product property. -x(5x – 4) = 0

Oxana [17]

Answer:

x = 0, 4/5

Step-by-step explanation:

The zero-product property states that if the product of a and b is zero, then either a = 0, b = 0, or both terms equal zero

Here our a term is -x and our b term is (5x - 4)
Setting each term equal to zero and solving for x we get
-x = 0 → x = 0
5x - 4 = 0 → 5x = 4 → x = 4/5

6 0

2 years ago

A bookstore is having a sale in which customers can purchase 6 books for a price of b dollars. Which expression represents the p

Evgen [1.6K]

That would be 6/b <====

5 0

2 years ago

I need the answer to a parts I-iii and the answer to b

fomenos

Answer:

i) Mean = 72

ii) Median = 72

iii) Mode = 72

69, 70, 71, 72, 72, 72, 73, 74, 75

Step-by-step explanation:

a. To find mean, median and mode

It is given that all the 9 students get 72 marks.

Therefore the data set be,

72, 72, 72, 72, 72, 72, 72, 72 72

i) mean = (sum of data)/(total number of data)

= (9 * 72)/9 = 9

ii) Median - Central data in the data set when arranging ascending or descending order

72, 72, 72, 72, 72, 72, 72, 72 72

Median = 72

iii) Mode - Most repeating data in the data set

Here mode = 72

b). To find a data set

69, 70, 71, 72, 72, 72, 73, 74, 75

Here Mean, mode and median are all 72

3 0

3 years ago

The mean salary of 5 employees is $33700. The median is $34600. The mode is $35600. If the median paid employee gets a $3500 rai

fgiga [73]

Step-by-step explanation:

Given:

Mean = 33700

Median = 34600

Mode = 35600

The mean is the average, the median is the middle number, and the mode is the most common number.

First, we need to find the new mean (average) if one of the employees gets a 3500 raise. The average is the total salary divided by number of employees:

(5 × 33700 + 3500) / 5 = 34400

The mode is the most common number in a set. Since there are only five employees, and the mode is different than the median, then the two highest earners must have the same salary. The salaries from smallest to largest is therefore:

?, ?, 34600, 35600, 35600

When the median gets the 3500 raise, the set becomes:

?, ?, 35600, 35600, 38100

So the new median is 35600.

The most common number is still 35600. So the mode hasn't changed: 35600.

4 0

3 years ago

Why is the derivative equals to 0?

Lisa [10]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

• tan²x + 1 = sec²x

⇒ tan²x - sec²x = - 1

Thus the derivative reduces to

$\frac{d}{dx}$ ( - 1 ) = 0

7 0

3 years ago