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3 years ago

Use compatible numbers to estimate the quotient 82 divided by 5514

Mathematics

2 answers:

wolverine [178]3 years ago

8 0

5514 is about 5600
82 is about 80

5600 divided by 80 = 70

UNO [17]3 years ago

4 0

Answer:

$5514\div 82\approx 67$

Step-by-step explanation:

We have been given a quotient of two numbers $5514\div 82$ . We are asked to estimate the quotient using comaptible numbers.

We need to find one number, whose product with 82 is approximately 5514.

We know that $67\times 82 =5494$ , which is close to 5514, therefore, the quotient of given numbers would be approximately 67.

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3 years ago

Work out the area of this semicircle.Take pie to be 3.142 and give your answer to 2 decimal places 10cm

rosijanka [135]

Answer:

The area of the semi circle $A = 157.1 cm^2$

Step-by-step explanation:

Explanation:-

Given radius of circle 'r' = 10 cm

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Final answer:-

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7 0

3 years ago

A circle with a centre 0, has an equation x2 + y2 = 25

GaryK [48]

The linear equation of the tangent at point A is given by:

$y = \frac{-4x + 25}{3}$

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, to find the slope, we need to find the derivative at (4,3), using implicit differentiation. Hence:

$2x\frac{dx}{dx} + 2y\frac{dy}{dx} = 0$

$\frac{dy}{dx} = -\frac{x}{y}$

$\frac{dy}{dx} = -\frac{4}{3}$

Then:

$y = -\frac{4}{3}x + b$

We use point (4,3) to find b, hence:

$y = -\frac{4}{3}x + b$

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$b = \frac{25}{3}$

Hence, the equation is:

$y = \frac{-4x + 25}{3}$

More can be learned about linear equations at brainly.com/question/24808124

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2 years ago