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4 years ago

Does anyone know how to do this question?

Mathematics

1 answer:

stepan [7]4 years ago

3 0

I've attached working :)

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One leg of a right triangle is 12, and the hypotenuse is 20.

adoni [48]

We can ise Pythagorean triplet which is ( 12 , 16 , 20 )

Therefore the answer is 16.

Step-by-step explanation:

Or we can use Pythagoras theorem , stated as ;

( hyp )^2 = ( adj )^2 + ( opp )^2

hyp ( hypotenuse ) = 20

We can assume the adj ( adjacent ) = 12

By substituting the values ,

20^2 = 12^2 + ( adj )^2

400 = 144 + ( adj )^2

400 - 144 = ( adj )^2

256 = ( adj )^2

Take the square root of both sides

✓256 = adj

16 = adj

Therefore the length of the other leg which is the adjacent( adj ) side is 16.

8 0

3 years ago

If Kirstie loads 35 racks into a truck per hour and Libby loads 50 racks into a truck in the same amount of time, how many more

Flura [38]

Answer:

Libby loaded 60 more racks than Kirstie.

Step-by-step explanation:

35 x 4 = 140

50 x 4 = 200

200 - 140 = 60

Hope this helps! Please mark as brainliest.

4 0

3 years ago

Which sentence is incorrect? a) -2>-3 b) -4>-6 c) -2/5=0.4 d) -5/2=0.4

Maru [420]

Answer:

c) -2/5=0.4 d) -5/2=0.4 are incorrect

5 0

3 years ago

A store sells Brazilian coffee for $10 per lb. and Columbian coffee for $14 per lb. If the store decides to make a 150-lb. blend

Artemon [7]

Answer:

The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.

Step-by-step explanation:

Let "b" be the amount of Brazilian coffee, in pounds, required for the blend and "c" the amount of Colombian coffee required, in pounds.

Since there are two unknown variables a two-equation system is needed to solve the problem, we can set up one equation for weight and another for price as follows:

$b+c=150\\10*b+14*c=11*150$

Solve for "c" by multiplying the first equation by -10 and adding it to the second one:

$b+c=150\\10b+14c -10b-10c=11*150 -(10*150)\\4c=150\\c = 37.5$

Now, solve for b by replacing the value obtained into the first equation

$b+c=150\\b= 150 - 37.5\\b=112.5$

The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.

6 0

3 years ago

What is 80,300,000,000 written in scientific notation?

anastassius [24]

8.03×10^10. move the decimal behind the eight and count the amount of places the decimal moved and that would be your power.

5 0

4 years ago

Read 2 more answers