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3 years ago

Hi:) how to do this?

Mathematics

1 answer:

musickatia [10]3 years ago

4 0

Answer:

a) 127m (3 s.f.)

b) 271m (3 s.f.)

Step-by-step explanation:

Please see the attached pictures for full solution.

Method 1 is written in black and method 2 is written in pink.

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How many times greater is 2.94 x 10^-8 and 6.22 10^-7?

Serga [27]

(2.94x10^-8)/(6.22x10^-7)=112.5 Times larger

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3 years ago

In right triangle ABC, mC - 90° and AC BC. Which trigonometric ratio is cquivalent to sin b?

vaieri [72.5K]

Answer:

All trigonometric Ratios are $SinB = \frac{AC}{AB}$ , $SinA= \frac{CB}{AB}$ , $CosA= \frac{AC}{AB}$

And $Cos B = \frac{CB}{AB}$ .

Step-by-step explanation:

Given that,

A right angle triangle ΔABC, ∠C =90°.

Diagram of the given scenario shown below,

In triangle ΔABC :-

$Hypotenuse = AB\\Base = CB\\Perpendicular = AC$

So, $Sin\theta = \frac{perpendicular}{hypotenuse}$

$SinB = \frac{AC}{AB}$

Now, for ∠A the dimensions of trigonometric ratios will be changed.

Here the base for ∠A is AC , perpendicular side is CB and hypotenuse will be same for all ratios.

$SinA= \frac{CB}{AB}$

Again, $Cos\theta= \frac{base}{hypotenuse}$

Then, $CosA= \frac{AC}{AB}$

And $Cos B = \frac{CB}{AB}$ .

Hence,

All trigonometric Ratios are $SinB = \frac{AC}{AB}$ , $SinA= \frac{CB}{AB}$ , $CosA= \frac{AC}{AB}$

And $Cos B = \frac{CB}{AB}$ .

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4 years ago

What is the solution to the equation –3.5(x + 12) = –2x + 18?

Andrei [34K]

Answer:

x = -4.36364

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3.5(x + 12) = -2x + 18

Step 2: Solve for x

Distribute 3.5: 3.5x + 42 = -2x + 18
Add 2x on both sides: 5.5x + 42 = 18
Isolate x term: 5.5x = -24
Isolate x: x = -4.36364

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