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3 years ago

Analyze the diagram below and complete the instructions that follow.

Mathematics

2 answers:

mixas84 [53]3 years ago

6 0

Option (B) is the answer to ur questions..!!
{as to my preference I have marked/named the lines }

lakkis [162]3 years ago

5 0

Hello, there!

<3 and 70 degrees are "vertical angles," and so m<3 is 70 degrees.

<1 and 70 degrees are "complementary angles," and so <1 = 90 - 70, or 20 (degrees).

Then m<3 - m<1 = 70 degrees - 20 degrees = 50 degrees (answer)

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Can someone explain how to do this? thank you!

Alisiya [41]

The answer will be Negative

Write sin( $\frac{5 \pi }{4}$ ) as sin( $\pi$ + $\frac{ \pi } {4}$ )

Using the summation identity will be:
=sin( $\pi$ )+cos( $\pi$ )sin( $\frac{ \pi }{4}$ )

By following the trivial identity, you should get:
=0* $\frac{ \sqrt{2}}{2}+(-1) \frac{\sqrt 2} {2}$

Remove the parentheses on -1, then multiply
=0* $\frac{ \sqrt 2} {2}-1* \frac{ \sqrt 2} {2}$

You should get:
$- \frac{ \sqrt 2} {2}$

6 0

3 years ago

Show that 0.235555......can be expressed in the form

juin [17]

Answer and Step-by-step explanation:

Suppose x = 0.2355555... .

Multiply x by 100 and 1000:

100x = 23.5555....

1000x = 235.5555....

Let's subtract the first equation from the second:

1000x - 100x = 235.5555.... - 23.555.....

Because the decimal part for each goes on forever, we can simply cancel them out in our subtraction statement:

900x = 235 - 23 = 212

Divide both sides by 900:

x = 212/900 = 53/225

Thus, since x = 0.235555..., we know that:

0.23555.... = 53/225

Since p = 53 and q = 225 are integers, we have proven that this repeating decimal can be written as a fraction.

~ an aesthetics lover

7 0

4 years ago

A football field is exactly 120 yards long. How long is the field in meters?

PIT_PIT [208]

In general we know
1 meter = 1.09361 yard.
So we can say

1 yard = $\frac{1}{1.09361}$ meter
= 0.9144 meter.

So 120 yards = $120 * 0.9144$ meter
= 109.728 meter.

So length of football field is 109.728 meter.

4 0

4 years ago

Read 2 more answers

An earthquake with a magnitude of about 2. 0 or less is called a microearthquake. It is not usually felt. The intensity of an ea

Alecsey [184]

The intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of an a standard earthquake .

<h3>What is magnitude of earthquake?</h3>

Magnitude of earthquake is the measure of the size of origin of the earthquake. The magnitude of the earthquake keeps the same value for each place.

An earthquake with a magnitude of about 2. 0 or less is called a micro-earthquake and not felt usually.The intensity of an earthquake with a magnitude of 2.

Let the intensity of this earthquake is n times greater than the intensity of an a standard earthquake. Thus the intensity of standard earthquake can be given as,

$n=10^2\\n=100$