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maks197457 [2]
2 years ago
13

HELP PLEASE FAST 15 and 16 how to solve PLEASE ​

Mathematics
2 answers:
Orlov [11]2 years ago
6 0

1) 164

2) 1600

because a^2 + b^2 = c^2 <3

Hoochie [10]2 years ago
5 0

Answer:

15. 6

16. 40

Step-by-step explanation:

Use the formula for pythagorus: c^2 = a^2 + b^2

15. 10^2 = 8^2 + b^2

100 = 64 + b^2

*minus 64 on both sides

36 = b^2

*square root both sides

b = √36 = 6  

16. c^2 = 24^2 + 32^2

c^2 = 576 + 1024

c^2 = 1600

*square root both sides

c = √1600 = 40

Hope this helps :)

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Simplify -3/2 * 9/6<br><br> A. -4<br> B. -1<br> C. 4<br> D. 1
zalisa [80]

Answer:

-2.25

Step-by-step explanation:

8 0
1 year ago
6. A tank contains 100-gallon of pure water. At time t = 0, a solution containing 2 lb of salt per gallon flows into the tank at
SOVA2 [1]

Answer:

The answer is below

Step-by-step explanation:

Let Q represent the amount of salt in the tank at time t.

\frac{dQ}{dt}= flow\ in - flow\ out\\ \\flow\ in=3\ gal/min*2\ lb/gal=6\ lb/min\\\\net\ gain\ in\ tank\ volume=3-4=-1, henceflow\ out= \frac{4Q}{100-t} \\\\\frac{dQ}{dt}= 6-\frac{4Q}{100-t} \\\\\frac{dQ}{dt}+ \frac{4Q}{100-t}=6\\\\The \ integrating\ factor\ is:\\\\IF=e^{\int\limits {\frac{4}{100-t} } \, dt }=e^{-4\int\limits {\frac{-1}{100-t}}=e^{-4ln(100-t)}=(100-t)^{-4}}\\\\Multiplying\ through  \ by\ IF: \\\\(100-t)^{-4}\frac{dQ}{dt}+ (100-t)^{-4}\frac{4Q}{100-t}=6(100-t)^{-4}\\\\

Integrating:\\\\A(100-t)^{-4}=-2(100-t)^{-3}+c\\\\A=-2(100-t)+\frac{c}{(100-t)^{-4}} \\\\at, t=0,A=0\\\\0=-2(100-0)+\frac{c}{(100-0)^{-4}}\\\\c=0.02\\\\A=-2(100-t)+\frac{0.02}{(100-t)^{-4}}

7 0
3 years ago
Maya is packing her backpack for hike in one pocket she puts in 1/4 pound bag of trail mix a water bottle weighing 2 1/5 pounds
xz_007 [3.2K]
This problem is simply asking us to add the weights which are presented as fractions. You can easily get the answer if you input them directly in a calculator. But I think the challenge here is to manually add fractions.

Let's add the two 1/4 lb weights because it is easier for they have a common denominator. Just simply add the numerators.

1/4 + 1/4 = 2/4

Then, add with this the fraction part of 2 1/5.

2/4 + 1/5 = ?
The least common denominator is 4*5 = 20. Then divide 20 with each denominator and multiply to their respective numerator.

2/4 + 1/5 = [(20/4 * 2) + (20/5 *1)]/20 = 14/20

14/20 is simplified to 7/10. Then add the whole number 2. <em>Therefore, the sum of all weights is 2 7/10 pounds.</em>
5 0
3 years ago
Each student wears a name tag while at the aquarium the name tags are rectangles that are three inches long and five inches wide
Marrrta [24]

Answer:

15 in2

Step-by-step explanation:

3*5= 15

length*width= area

Hope it helped!!!

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7 0
3 years ago
Read 2 more answers
One number is 8 more than another number, and their sum is 20. Find the numbers.
melomori [17]

Answer:

First number=6

Second number=14

Step-by-step explanation:

Let the first number be x

So the second number is x+8

So the sum of the two is

X+x+8=20

2x+8=20

2x=20-8

2x=12

X=12/2

=6

The second number will x+8

So 6+8=14

First number=6

Second number=14

6 0
3 years ago
Read 2 more answers
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