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Mashutka [201]
3 years ago
5

Determine if the triangle with the given sides is acute, obtuse, or right. 36, 49, 60

Mathematics
1 answer:
kotykmax [81]3 years ago
4 0
<span>When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:
</span>1) Square all 3 sides.
2) Sum the squares of the 2 shortest sides.
3) Compare this sum to the square of the 3rd side.

if sum > 3rd side²   Acute Triangle
if sum = 3rd side²   Right Triangle<span>
if sum < 3rd side²   Obtuse Triangle

1) 1,296   2,401   3,600
2) Sum = 3,697
3) </span><span>3,697 is greater than 3,600
Therefore, the triangle is acute.

Source:
http://www.1728.org/triantest.htm


</span>
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Simplify to create an equivalent expression.<br> 8(a+2)+2(2+3a)=
Alchen [17]

Answer:

14a + 20

Step-by-step explanation:

8(a + 2) + 2(2 + 3a)

expand the bracket

8a + (8*2) + (2*2) + (2*3a)

8a + 16 + 4 + 6a

bring like terms together

8a + 6a + 16 + 4

14a + 20

3 0
3 years ago
WILL GIVE BRAINLIEST
Evgesh-ka [11]
All you have to do is plug in the given values into the given equation and evaluate.

The expression is,

A(t) =  l{e}^{rt}
But we have to analyze the problem carefully. This is a natural phenomenon that can be modelled by a decay function. The reason is that, after every hour we expect the medicine in the blood to keep reducing.

Therefore we use the decay function rather. This is given by,


A(t) =  l{e}^{-rt}

where,

l = 100 \: milligrams

r =  \frac{14}{100}  = 0.14

and

t = 10 \: hours

On substitution, we obtain;

A(10) =  100 \times {e}^{ - 0.14 \times 10}


A(10) =  100 \times {e}^{ - 1.4}



Now, we take our calculators and look for the constant
e

,then type e raised to exponent of -1.4. If you are using a scientific or programmable calculator you will find this constant as a secondary function. Remember it is the base of the Natural logarithm.



If everything goes well, you should obtain;

A(10) =  100 \times 0.24659639


This implies that,


A(10) =  24.66

Therefore after 10 hours 24.66 mg of the medicine will still remain in the system.
3 0
3 years ago
HELPPP!!!!!! URGENT!!!​
Burka [1]

Answer:

20

Step-by-step explanation:

x = price

y = number of keyboard

xy = 540

(x-2)(y+3) = 540

x = 540/y

==> x = 20

==> y = 27

6 0
3 years ago
Please please help me with question 6,, I can’t figure it out.
Norma-Jean [14]

Answer:

The answer is D.) 27

Step-by-step explanation:

This problem forms a right triangle and with the 90ft wire being the hypotenuse, you subtract 63 from 90 and you get 27.

Hope I helped! :)

7 0
3 years ago
What is the answer to this
photoshop1234 [79]

Answer:

true

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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