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3 years ago

What do the angles in a triangle add up to

Mathematics

2 answers:

qaws [65]3 years ago

8 0

Answer: 180° .
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ale4655 [162]3 years ago

4 0

Angles in a triangle add up to 180 degrees

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How much less is -200m than 450m?

saveliy_v [14]

Answer:

-200 metre is less 450m because - 200 metre is negative.

4 0

3 years ago

Two lines intersect to form angles 1, 2, 3, and 4 as given. The measure of ∠3 is 38°. What is the measure of ∠2 ?

ss7ja [257]

Answer:

142° is the measure of angle 2.

Step-by-step explanation:

When two lines intersect, they make four angles. The angles facing each other are equal.

Let's say that two lines a and b intersected each other to make angles 1,2,3 and 4 respectively.

The measure of angle 3 = 38 degrees.

We know that the angle 1 is against angle 3 and is equal to 38.

Also Angle 2 and Angle 4 are also against each other and are equal let's say equal to x degrees.

Now, the sum of all four angles = 360 degrees

∠1 + ∠2+ ∠3 + ∠4 = 360°

38° + x + 38° + x = 360°

2x = 360° - 76°

2x = 284°

x = 142°

Hence, ∠2 = 142°

3 0

3 years ago

Read 2 more answers

Write an expression that can be used to check the quotient of 646 ÷ 3

Ipatiy [6.2K]

646/3=x
To check it: x*3 should =646

5 0

3 years ago

Read 2 more answers

find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B

SashulF [63]

Answer:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

$a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10$

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

$|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3$

$|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5$

And finally we can calculate the angle between the vectors like this:

$cos \theta = \frac{ab}{|a| |b|}$

And the angle is given by:

$\theta = cos^{-1} (\frac{ab}{|a| |b|})$

If we replace we got:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

3 0

3 years ago

Can someone help please!!!!

lara [203]

Answer:

1000 * $3^{9}$ Bacteria after 18 hours,

Step-by-step explanation:

The condition given in the problem is that the number of bacterial triple after every 2 hours.

So, after 2 hours, total bacteria= 1000 * 3

So, after 4 hours, total bacteria= 1000 * 3 * 3

Therefore, the general format for the number of bacteria is 1000 * $3^{n}$ , where n is the number of times the bacteria has tripled.

In 18 hours, there are $\frac{18}{2}$ ties that the bacteria has tripled.

Therefore, the no. of bacteria after 9 hours= 1000 * $3^{9}$

8 0

3 years ago