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3 years ago

A circle with circumference 10 has an arc with a 162 degree central angle. What is the length of the arc

1 answer:

6 0

Answer: The length of the is 4.5 cm when the measure of the central angle is 162 degrees.

If the measure of the central angle is 162 degrees, that means that is comprises 45% of the circle. 162 / 360 = 45%

Therefore, the arc is also 45% of the circumference. If we multiply 10 by 45% we get an arc length of 4.5 cm.

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(6,3); (1,4) Slope Giving brainless answer

dezoksy [38]

(6,3) (1,4)
4-1/3-6
3/-3
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2 years ago

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labwork [276]

Answer is Yes, both congruent by SAS

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3 years ago

Which shows the expression below simplified? 0.00048 - (3.4 × 10-5) A. 4.46 × 10-4 B. 3.39952 × 10-5 C. 4.46 × 10-5 D. 1.4 × 10-

MakcuM [25]

Option C

The simplified form of given expression is $4.46 \times 10^{-4}$

Solution:

Given that we have to simplify the expression shown below

$0.00048 - (3.4 \times 10^{-5})$

Let us first convert 0.00048 to scientific notation

Steps to follow:

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

$0.00048 = 4.8 \times 10^{-4}$

So the given expression becomes,

$\rightarrow 4.8 \times 10^{-4} - 3.4 \times 10^{-5}$

Let us make the exponent of second term as -4

$\rightarrow 4.8 \times 10^{-4} - 0.34 \times 10^{-4}$

Take $10^{-4}$ as common term,

$\rightarrow 10^{-4} (4.8 - 0.34)$

$\rightarrow 4.46 \times 10^{-4}$

Thus option C is correct

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3 years ago

When 'x' and 'y' are in direct proportion , then the relation between 'x' and 'y' is __________

Bess [88]

Step-by-step explanation:

If two quantities x and y vary (change) together in such a manner that the ratio of their corresponding values remains constant, then x and y are said to be in direct proportion.

5 0

3 years ago

Find the domain and range of the following graph.

shutvik [7]

Remember that the domain is the set of all the x terms.

So in the graph shown here, notice that the x terms seem to be increasing in both a positive and negative direction and there seems to be no limit to how large or how small the x terms can get. So the x terms can be all positive and negative numbers, including decimals and fractions.

In other words, the x terms can be All Real Numbers.

So the domain is equal to the set of all real numbers or R.

The range is the set of all the y terms.

Notice that all the y terms are less than or equal to 9.

So the range is {y: y ≤ 9}.

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3 years ago