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3 years ago

Pls hurry. thank you.

Mathematics

1 answer:

Cloud [144]3 years ago

3 0

Answer:

AC=BD=20 units

Step-by-step explanation:

given: the figure is a rhombus

therefore AB=BC=CD=DA=10 units (since given)

angle A= 60°

cos60°=AB/BD

1/2=10/x

therefore x=10×2

=20 units

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From a point 18 feet from the base of a tower, a wire is stretched to an attachment 40 feet up the tower. A right triangle with

Tamiku [17]

To find the length of the wire, use the Pythagorean theorem

a^2 + b^2 = c^2
18^2 + 40^2 = c ^2
324 + 1600 = c^2
1924 = c^2
44 = c

The wire is approximately 44 feet.

8 0

3 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

You are dealt a hand of three cards, one at a time. Find the probability of each of the following. a) The first heart you get

boyakko [2]

Answer:

a) 0.145

b) 0.013

c) 0.783

d) 0.586

Step-by-step explanation:

a) there are always 52 cards in total, 13 hearts

Pa = 39/52 × 38/51 × 13/50 = 19266/132600 = 257/1700 =0.145

b) there are always 13 diamonds in a complete card

Pb = 13/52 × 12/51× 11/50 = 11/850 = 0.013

c) there are always 4 aces, and 48 that are not aces

Pc = 48/52 × 47/51 × 46/50 = 4324/5525 = 0.783

d) there are 13 hearts,to get at least one heart we have.

Pd = 1 - p

Where p is the probability of no hearts

p = 39/52 × 38/51 × 37/50 = 703/1700 = 0.414

Pd = 1 - 0.414

Pd = 0.586

4 0

3 years ago

Dave can drive 160 miles on a tank of gas. Approximately how many tanks of gas will he need to drive 880 miles?

frez [133]

How many times does he have to drive 160 miles in order to cover 880 ?

880/160 = 5.5 times

He'll need 5 complete tanks of gas, and 1/2 of another one.

8 0

3 years ago

Read 2 more answers

Answer the question below

Delicious77 [7]

Answer:

a) The modal average is 3 bedrooms

b) The mean number of bedrooms is 2.825, or 3 rounded.

Step-by-step explanation:

If you lay out all the numbers from lowest to highest, and find the one in the middle, it is 3 bedrooms.

For the mean, if you add up all the number of bedrooms then divide by the total frequency, you get 2.825. This would be 113 ÷ 40.

3 0

3 years ago