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2 years ago

Consider the figure

Mathematics

2 answers:

Monica [59]2 years ago

8 0

Answer:72

Step-by-step explanation: Because angles on a straight line add up to 180 degrees, 4x+6x=100 would give you the desired x. Solving this, x=18. Multiplying x by 4 gives 72. Hope this helps! (Could I please have brainliest?)

aev [14]2 years ago

4 0

Answer:

A)72

Step-by-step explanation:

They have essentially divided up the line 2 different ways, into 2 parts and into 10 parts. The 2 parts is from 1 and 2 and then the 10 parts is because of the ratio 4-6. The 2 parts are not equal because one of them is 4 parts of the line and the other is 6, if we put that together we get the 10 equal parts of the line. A line is equal to 180 degrees meaning that we can divide that my 10 to figure out how much each part is equal to 180/10 is 18 so each of the 10 parts is equal to 18. We are looking for <1 which it says is equal to 4 parts so we will multiply 4 by 18 to get how much it is. 4 times 18 is 72 so the answer is A

I hope this helps and please don't hesitate to ask if there is anything still unclear!

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Question 2c: Which dog sitting service is better if you need 5 hours of service? Explain your answer PLEASE!

Juliette [100K]

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2 years ago

How many elements does A contains if it has 64 subsets

Amanda [17]

<h3>Answer: 6</h3>

===========================================================

Explanation:

Rule: If a set has n elements in it, then it will have 2^n subsets.

For example, there are n = 3 elements in the set {a,b,c}. This means there are 2^n = 2^3 = 8 subsets. The eight subsets are listed below.

{a,b,c} .... any set is a subset of itself
{a,b}
{a,c}
{b,c}
{a}
{b}
{c}
{ } ..... the empty set

Subsets 2 through 4 are subsets with exactly 2 elements. Subsets 5 through 7 are singletons (aka sets with 1 element). The last subset is the empty set which is a subset of any set. You could use the special symbol $\varnothing$ to indicate the empty set.

For more information, check out concepts relating to the power set.

-------------------

The problem is asking what value of n will make 2^n = 64 true.

You could guess-and-check your way to see that 2^n = 64 has the solution n = 6.

Another approach is to follow these steps.

$2^n = 64\\\\2^n = 2^6\\\\n = 6$

Which is fairly trivial.

Or you can use logarithms to solve for the exponent.

$2^n = 64\\\\\text{Log}\left(2^n\right)=\text{Log}\left(64\right)\\\\n*\text{Log}\left(2\right)=\text{Log}\left(64\right)\\\\n=\frac{\text{Log}\left(64\right)}{\text{Log}\left(2\right)}\\\\n\approx\frac{1.80617997398389} {0.30102999566399} \ \text{ ... using base 10 logs}\\\\n\approx5.99999999999983\\\\$

Due to rounding error, we don't land exactly on 6 even though we should.

5 0

1 year ago

What is the common ratio for geometric sequence: 5,15,45,135 ?

serg [7]

Answer:

the common ratio is 3

Step-by-step explanation:

to solve for the common ratio, I like to take the second term and divide it by the first term

15/5 = 3

then I will check the rest of the terms

15*3 = 45

45*3 = 135

It looks like the common ratio is correct!

5 0

2 years ago

Which graph best represents the equation x2 + (y – 1)2 = 3?

Harman [31]

Answer:

Step-by-step explanation:

assuming the equation is x^2 + (y - 1)^2 = 3

6 0

2 years ago

Which function represents g(x), a reflection of f(x) = 4across the x-axis?

fiasKO [112]

Answer:

Option C g(x) = -4

Step-by-step explanation:

In the question a function f(x) =4 is given and we are required to tell the reflection g(x) of the given function.

The rule of reflection for a function says that:

f(x) -> - f(x)

So, in our case the value of function is f(x) = 4, after reflection the value across the x-axis the value will become negative i.e -4,

so the required function g(x) = - 4

Hence Option C g(x) = -4 is correct option.

3 0

2 years ago

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