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3 years ago

For the rhombus below, find the measure of angles 1,2,3 and 4.

Mathematics

1 answer:

Alexus [3.1K]3 years ago

5 0

Answer:

∠1 is 33°

∠2 is 57°

∠3 is 57°

∠4 is 33°

Step-by-step explanation:

First off, we already know that ∠2 is 57° because of alternate interior angles.

Second, it's important to know that rhombus' diagonals bisect each other; meaning they form 90° angles in the intersection. Another cool thing is that the diagonals bisect the existing angles in the rhombus. Therefore, 57° is just half of something.

Then, you basically just do some other pain-in-the-butt things after.

Since that ∠2 is just the bisected half from one existing angle, that means that ∠3 is just the other half; meaning that ∠3 is 57°, as well.

Next is to just find the missing angle ∠1. Since we already know ∠3 is 57°, we can just add that to the 90° that the diagonals formed at the intersection.

57° + 90° = 147°

180° - 147° = 33°

∠1 is 33°

Finally, since that ∠4 is just an alternate interior angle of ∠1, ∠4 is 33°, too.

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Task 1:

OleMash [197]

Answer:

maximum height is 4.058 metres

Time in air = 0.033 second

Step-by-step explanation:

Given that the equation height h

h = -212t^2 + 7t + 4

What is the toy's maximum height?

Let us assume that the equation is a perfect parabola

Time t at Maximum height will be

t = -b/2a

Where b = 7 and a = - 212

t = -7/ - 212 ×2

t = 7/ 424 = 0.0165s

Substitute t in the main equation

h = - 212(7/424)^2 + 7(7/424) + 4

h = - 0.05778 + 0.115567 + 4

h = 4.058 metres

Therefore the maximum height is 4.058 metres

How long is the toy in the air?

The object will go up and return to the ground.

At ground level, h = 0

-212t^2 + 7t + 4 = 0

212t^2 - 7t - 4 = 0

You can factorize the above equation and pick the positive time t since time can't be negative

Since we have assumed that it's a perfect parabola,

Total time in air = (-b/2a) × 2

Time in air = 0.0165 × 2 = 0.033 s

3 0

3 years ago

Serjik [45]

Answer:

I think the answer is option c

Step-by-step explanation:

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2 years ago

I will give branliest to whoever answers this correctly.

Sergio039 [100]

Answer:

-8√6

-19.59

Step-by-step explanation:

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3 years ago

Jorge’s printer can print 24 pages in 15 minutes. How many pages can it print in 3/4 hour? In 1 hour?

Art [367]

Jorge's printer can print 72 pages in 3/4 hours and 96 pages in 1 hour.

Step-by-step explanation:

Given,

Pages printed in 15 minutes = 24 pages

15 minutes = $\frac{15}{60} = \frac{1}{4}\ hour$

Therefore;

$\frac{1}{4}\ hour = 24\ pages$

Multiplying both sides by 4

$4*\frac{1}{4}=24*4\\1\ hour = 96\ pages$

In 3/4 hours

$\frac{3}{4}\ hour = 96*\frac{3}{4}\\\\\frac{3}{4}\ hour = 72\ pages$

Jorge's printer can print 72 pages in 3/4 hours and 96 pages in 1 hour.

Keywords: fraction, multiplication

Learn more about fractions at:

#LearnwithBrainly

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3 years ago

Has anyone done IXL N.2 7th grade, can you help me!!!

ziro4ka [17]

Okay... let’s see if I remember this! So... first off, convert the whole number into a fraction. To do this, we would need to multiply the number (20) by 2, since the denominator is 2, and then add it to the 1/2 we already have.

= 41/2 × 3/4

Then, put the fractions formula for multiplication into play... (numerators on top, denominators on bottom)

41 × 3
= ————
2 × 4

This would equal 123/8.

Now, we aren’t done yet. To get our final answer, we would to simplify 123/8 to the point where it can’t be any more simple. (For example, if we had 2/2, we would have to simplify that because 2/2 = 1. We wouldn’t be able to simplify the 1 any more than that, making 1 the final answer.) I’ll just do the math for you here. 123/8 simplified completely is 15 3/8.

( 123/8 = 15 3/8.)

I kind of went into detail just in case you were having trouble with these kinds of problems, which I hope isn’t too much of a problem!! Have a good day and I hope this helps :)

6 0

3 years ago