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3 years ago

True or false? A corollary statement that can be easily proved using a theorem.

Mathematics

1 answer:

Phantasy [73]3 years ago

8 0

True. Corollaries are self-evident from theorems.

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A shelf is designed so it will fit in a 90º corner between two walls. The shelf has dimensions, rounded to the nearest tenth, as

den301095 [7]

Answer:

Yes, it will fit snugly in a 90º corner

Step-by-step explanation:

To do this, we simply need to check if the given sides of the shelf is right-angled.

So, we have:

$Hypotenuse = \sqrt{242$

$Side\ 1 = Side\ 2 = 11$

To check for right-angle triangle, we make use of:

$Side\ 1^2 + Side\ 2^2 = Hypotenuse^2$

This gives:

$11^2 + 11^2 = \sqrt{242}^2$

$121 + 121 = \sqrt{242}^2$

$242 = \sqrt{242}^2$

$242 = 242$

This shows that the given sides of the shelf is a right-angled triangle.

Hence, it will fit the wall

4 0

3 years ago

Tomas makes balloon sculpture at a circus. In 180 minutes he uses 252 balloons to make balloon sculptures. How many minutes does

Mademuasel [1]

Answer:

0.714 mins

Step-by-step explanation:

by using the rule of three:

180 mins----->252 ballons

x----------------1 ballon=0.714 mins

4 0

2 years ago

three tanks are capable of holding 108 litres, 168 litres and 180 litres of milk. determine the capacity of the greatest vessel

SpyIntel [72]

A vessel of 7,560 liters

Step-by-step explanation:

This means finding the Least Common Multiple for;

108 168 180

We begin by finding the multiples of each number;

Multiples of 108:

108, 216, 324, 432, 540, 648, 756, 864, 972, 1080, 1188, 1296, 1404, 1512, 1620, 1728, 1836, 1944, 2052, 2160, 2268, 2376, 2484, 2592, 2700, 2808, 2916, 3024, 3132, 3240, 3348, 3456, 3564, 3672, 3780, 3888, 3996, 4104, 4212, 4320, 4428, 4536, 4644, 4752, 4860, 4968, 5076, 5184, 5292, 5400, 5508, 5616, 5724, 5832, 5940, 6048, 6156, 6264, 6372, 6480, 6588, 6696, 6804, 6912, 7020, 7128, 7236, 7344, 7452, 7560, 7668, 7776

Multiples of 168:

168, 336, 504, 672, 840, 1008, 1176, 1344, 1512, 1680, 1848, 2016, 2184, 2352, 2520, 2688, 2856, 3024, 3192, 3360, 3528, 3696, 3864, 4032, 4200, 4368, 4536, 4704, 4872, 5040, 5208, 5376, 5544, 5712, 5880, 6048, 6216, 6384, 6552, 6720, 6888, 7056, 7224, 7392, 7560, 7728, 7896

Multiples of 180:

180, 360, 540, 720, 900, 1080, 1260, 1440, 1620, 1800, 1980, 2160, 2340, 2520, 2700, 2880, 3060, 3240, 3420, 3600, 3780, 3960, 4140, 4320, 4500, 4680, 4860, 5040, 5220, 5400, 5580, 5760, 5940, 6120, 6300, 6480, 6660, 6840, 7020, 7200, 7380, 7560, 7740, 7920

The Least Common Multiple for the 3 number is;

= 7560

Therefore a vessel of 7,560 liters fills each one of them an exact number of times with no remainder.

Learn More:

For more on Least Common Multiple check out;

brainly.com/question/11978021

#LearnWithBrainly

5 0

3 years ago

What are 1 ways to make 98

Anna35 [415]

90 + 8 ? What are you asking? :)

7 0

3 years ago

An airplane pilot over the Pacific sights an atoll at an angle of depression of 5. At this time, the horizontal distance from th

kotykmax [81]

B) 405 m
tan(5) = x/4629
4629tan(5) = 404.9
Round up
x=405 m

4 0

2 years ago