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2 years ago

Explain how to estimate 498÷12

Mathematics

2 answers:

PSYCHO15rus [73]2 years ago

8 0

498 is approximately 500

12 is approximately 10

500/10 = 50

So, 498/12 is approximately 50.

exis [7]2 years ago

8 0

Round 498 to the hundreds place making it 500. Then round the twelve to a 10 because you have to follow the rule that if the digit you are rounding is below five you go back if it is above five you round to the next place. The problem would then become 500/10 which is equal to 50

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Hitman42 [59]

Answer:

The angle of elevation of the sun from the ground to the top of a tree is $36^{\circ}$ .

Step-by-step explanation:

As given

The sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long.

Now by using the trignometric identity .

$tan\theta =\frac{Perpendicular}{Base}$

As figure is given below .

AB = Perpendicular = 10 yards

BC = Base = 14 yards

Putting all the values in the trignometric identity .

$tan\theta =\frac{AB}{BC}$

$tan\theta =\frac{10}{14}$

$\theta =tan^{-1}(\frac{10}{14})$

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Therefore the angle of elevation of the sun from the ground to the top of a tree is $36^{\circ}$ .

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2 years ago

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PLS HELP!! GIVING BRAINLIEST TO FIRST CORRECT ANSWER!!+50 POINTS

Elena-2011 [213]

Answer(s):

154 in²
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Revising the area of a circle formula

We already know that the area of a circle is expressed as $\pi r^{2}$ .

The "r" variable is known as the radius.

<h2><u>Solving each problem given:</u></h2><h3>Solving Problem 4:</h3>

We are given the radius of circle, which is 7 in. Let us substitute the radius in the formula. Once substituted, we can simplify the expression obtained to determine the area of the circle shown in the picture.

$\implies \pi (7)^{2}$

$\implies \huge\text{(}\dfrac{22}{7} \huge\text{)}(7)^{2}$ <em> </em>

$\implies \huge\text{(}\dfrac{22}{7} \huge\text{)}(7)(7)$

$\implies (22)(7)$

$\implies 154 \ \text{in}^{2}$

<h3>Solving Problem 5:</h3>

In this problem, we are given the diameter to be 24 kilometers. Since the radius of the circle is half the diameter, we can tell that the radius of the circle is 24/2 kilometers, which is 12 kilometers.

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$\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (12)^{2}$

$\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (12)(12)$

$\implies \dfrac{3168}{7} \ \text{km}^{2}$

<h3>Solving Problem 6:</h3>

We are given the radius of circle, which is 3.5 in. Let us substitute the radius in the formula. Once substituted, we can simplify the expression obtained to determine the area of the circle shown in the picture.

$\implies \pi (3.5)^{2}$

$\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (3.5)^{2}$

$\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (3.5)(3.5)$

$\implies \huge\text{(}\dfrac{22}{2}\huge\text{)} (3.5) = (11) (3.5)$

$\implies 38.5 \ \text{m}^{2}$

Note: <em>The radius given in this problem was not clearly stated. If the radius I stated here, is incorrect, please notify me in the comments. Thanks!</em>

Learn more about area of circles: brainly.com/question/12414551

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creativ13 [48]

The probability is 0.337.

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