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3 years ago

If a 90°degree angle is bisected, the two angles created by the bisector will equal?

Mathematics

2 answers:

Kruka [31]3 years ago

6 0

Yes, if it says it’s bisected it means the angle will be divided into half.

katen-ka-za [31]3 years ago

5 0

Answer:

45 degrees

Step-by-step explanation:

when an angle is bisected both angles formed are equal, so 90/2=45

You might be interested in

Why do we divide by 4

Phantasy [73]

This kind of question would actually be very dependable. So, let's suppose that we would have a number as 16. We would then have to divide this number by 4, mainly because we would want to find how many 4's would go into the number 16. But this would actually be an example. So, whatever math problem you may have, just remember this technique, how many numbers would go into that specific number.

5 0

2 years ago

Find the 10th partial sum of the arithmetic sequence defined by

Evgesh-ka [11]

Answer:

22.5

Step-by-step explanation:

If you expand the series, you can see the first few terms of the series:

Putting 1 in $n$ , $\frac{1}{2}(1)-\frac{1}{2}=0$
Putting 2 in $n$ , $\frac{1}{2}(2)-\frac{1}{2}=0.5$
Putting 3 in $n$ , $\frac{1}{2}(3)-\frac{1}{2}=1$
Putting 4 in $n$ , $\frac{1}{2}(4)-\frac{1}{2}=1.5$

We can see the series is 0, 0.5, 1, 1.5, ....

This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.

We know formula for sum of arithmetic series:

$s_{n}=\frac{n}{2}(2a+(n-1)d)$

Where,

$S_{n}$ denotes the nth partial sum
$a$ is the first term (in our case it is 0)
$n$ is the term (in our case it is 10 since we want to find 10th partial sum -- sum until first 10 terms)
$d$ is the common difference (difference in term and the previous term) (in our case it is 0.5)

Substituting these into the formula, we get the 10th partial sum to be:

$s_{10}=\frac{10}{2}(2(0)+(10-1)(0.5))\\s_{10}=5(0+(9)(0.5))\\s_{10}=5(0+4.5)\\s_{10}=5(4.5)\\s_{10}=22.5$

So the sum of the first 10 terms is 22.5. Third answer choice is right.

8 0

3 years ago

Read 2 more answers

The volume of a cylinder is 4 pi x3 cubic units and its height is x units.

Rzqust [24]

Answer:

$2x$

Step-by-step explanation:

The volume of a cylinder, $V$ is given by the formula,

$V=\pi r^{2}h$

Where, $r$ is the radius and $h$ is the height of the cylinder.

Here, $V=4\pi x^{3}$ , $h=x$ . Plug in these values and solve for radius, $r$ .

This gives,

$V=\pi r^{2}h\\4\pi x^{3}=\pi r^{2}x\\r^{2}=\frac{4\pi x^{3}}{\pi x}\\r^{2}=4x^{2}\\$

Taking square root both sides, we get

$\sqrt{r^{2}}=\sqrt{4x^{2}}\\r=2x$

Therefore, the radius of the cylinder can be expressed as $2x$ .

6 0

3 years ago

What's (7x/2-5x+3)+(2x/2+4x-6)

Anika [276]

I'm assuming that when you wrote "(7x/2-5x+3)+(2x/2+4x-6)," you actually meant "(7x^2-5x+3)+(2x^2+4x-6). Correct me if I'm wrong here.

+(7x^2-5x+3)
+(2x/2+4x-6)
-------------------
=9x^2 - x - 3 (answer)

5 0

3 years ago

Automobile license plates in Massachusetts usually consist of three digits followed by three letters. The first digit is never z

Serga [27]

Answer:

1,58,18,400

Step-by-step explanation:

1st digit can have the values 1-9 (9 distinct values)

2nd digit can have the values 0-9 (10 distinct values)

3rd digit can have the values 0-9 (10 distinct values)

1st letter can have the value A-Z (26 distinct values)

2nd letter can have the value A-Z (26 distinct values)

3rd letter can have the value A-Z (26 distinct values)

Total number of different plates possible = 9*10*10*26*26*26

=1,58,18,400

3 0

2 years ago