Mathematics: Plz Helppp meeee assapppp

Plz Helppp meeee assapppp - id9994057, jaimefashion12

jerzie53

14.02.2022

Given:

A right angled triangle.

To find:

The value of x.

Solution:

We have,

Base = x

Hypotenuse = $\sqrt{5}$

In a right angle triangle,

$\cos \theta = \dfrac{Base}{Hypotenuse}$

For the given triangle,

$\cos 45^\circ= \dfrac{x}{\sqrt{5}}$

$\dfrac{1}{\sqrt{2}}= \dfrac{x}{\sqrt{5}}$

Multiply both sides by $\sqrt{5}$ .

$\dfrac{\sqrt{5}}{\sqrt{2}}= x$

$\dfrac{\sqrt{5}}{\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}= x$

$\dfrac{\sqrt{10}}{2}= x$

Therefore, the required value of x is $\dfrac{\sqrt{10}}{2}$ .

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AbhiramAkella

17.05.2020

8/9 or 88.89%

Step-by-step explanation:

Spinner has a total of 9 sections.

These sections are;

2 red, 3 blue and 4 green.

Now, probability of getting blue at one spin = 3/9 = 1/3

Probability of getting 2 consecutive blues = ⅓ × ⅓ = 1/9

Probability of not getting 2 consecutive blues = 1 - probability of getting 2 consecutive blues = 1 - 1/9 = 8/9 or in percentage 8/9 × 100% = 88.89%

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