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2 years ago

The combined age of john and mary is 20 years. in 2 years, john will be five times as old as mary. how old is john at this time?

Mathematics

1 answer:

LUCKY_DIMON [66]2 years ago

5 0

I don't know

I hate math

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What is 39.79949748 rounded to the nearest hundredth?

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Answer:

$Number = 39.80$

Step-by-step explanation:

Given

$Number = 39.79949748$

Required

Approximate (to the nearest 100th)

This means that, we approximate at the second digit after the decimal.

So:

i.e,

Number = 39.79 [Begin approximation] 949748

The first digit after [Begin approximation] is then approximated using the following rule:

$0 - 4 \approx 0$

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Since 9 falls in $5 - 9 \approx 1\\$ category, the number becomes:

$Number = 39.[79+1]$

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Answer:

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3 years ago

A school wants to buy a chalkboard that measures 4 feet by 6 feet. The chalkboard costs $10.00 per square foot. How much will th

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Answer:

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If a vertical line is dropped from the x-axis to the point (12, –9) in the diagram below, what is the value of sec?

dem82 [27]

Answer:

Value of $\sec \theta = \frac{5}{4}$

Step-by-step explanation:

Given: A vertical line is dropped from the x-axis to the point (12, -9) as shown in the diagram below;

To find the value of $\sec \theta$ .

By definition of secants;

$\sec \theta = \frac{1}{\cos \theta}$

Now, first find the cosine of angle $\theta$

As the point (12 , -9) lies in the IV quadrant , where $\cos \theta > 0$

Consider a right angle triangle;

here, Adjacent side = 12 units and Opposite side = -9 units

Using Pythagoras theorem;

$(Hypotenuse side)^2= (12)^2 + (-9)^2 = 144 + 81 = 225$

$Hypotenuse = \sqrt{225} =15 units$

Cosine ratio is defined as in a right angle triangle, the ratio of adjacent side to hypotenuse side.

$\cos \theta = \frac{Adjacent side}{Hypotenuse side}$

then;

$\cos \theta = \frac{12}{15} = \frac{4}{5}$

and

$\sec \theta = \frac{1}{\cos \theta}= \frac{1}{\frac{4}{5}} = \frac{5}{4}$

therefore, the value of $\sec \theta$ is, $\frac{5}{4}$

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