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4 years ago

What is the value of n?

Mathematics

1 answer:

skelet666 [1.2K]4 years ago

6 0

Answer: 3 cm

Step-by-step explanation:

Set up a proportion to find the value of n. 4/8 = n/6
Cross multiply. 8x = 24
Divide 8 on both sides. x = 3

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solniwko [45]

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6 0

4 years ago

Prove the identity of tan(pi - x) = - tan x

liq [111]

Two ways:

Step-by-step explanation:

1. First way. Using the trig unit circle.

tan (pi - x) = - tan x

2. Second way. Apply the identity:

tan(a-b)=tan a- tan b/ 1 - tan a×tan b

tan (π - x)= tan π - tanx/1 - tan(π)×tanx

Since tan (pi) = 0, therefor:

tan(π−x)=−tanx

8 0

3 years ago

A spinner is divided into four equal sections that are numbered 2, 4, 7, and 9. The spinner is spun twice.How many outcomes have

shusha [124]

The spinner is divided into four equal sections: 2, 4, 7, 9. This represents 4 possibilities

If the spinner is spun twice, the sample space is:

$\text{Sample space = 4}^2\text{ = 16}$

For product less than 30, the number of outcomes is shown below:

The number of outcomes that have a product less than 30 = 10

The sample space that shows possibilities of an odd number combination:

The number of outcomes that contains at least one odd number = 12

The number of outcomes that have a product less than 30 and contain at least one odd number is shown below. These outcomes are outcomes circled in both cases shown above,

The outcomes circled represents the number of outcomes that has a product less than 30 and contains at least one odd number

Answer: 6 (option B)

7 0

1 year ago

A line passes through the points (6,-6) and (9,-5). What is it’s equation in point slope form?

BARSIC [14]

Answer:

$y=\frac{1}{3}x-8$

Step-by-step explanation:

Slope-intercept form of an equation is written as $y=mx+b$ , where $m$ is the slope and $b$ is the y-intercept.

The slope of a line that passes through the points $(x_1,\: y_1)$ and $(x_2, \: y_2)$ is $m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}$ . Using the coordinates $(6,-6)$ and $(9,-5)$ as given in the problem, we have slope of this line to be: