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madreJ [45]
2 years ago
13

PLEASE HELP DUE IN 3 minutes

Mathematics
2 answers:
IgorLugansk [536]2 years ago
7 0

Answer:

10

Step-by-step explanation:

Yakvenalex [24]2 years ago
5 0

Answer: 10

Step-by-step explanation:

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A 46 gram sample of a substance that is used to sterilize surgical instruments has a k-value of 0.1374. Find the substance's hal
mars1129 [50]

Answer:

  t=5.0days

Step-by-step explanation:

Using the formula for the exponential decay that is N=N_{0}e^{-kt}, we have N=\frac{1}{2}{\times}46=23, N_{0}=46 and k=0.1374.

Thus, N=N_{0}e^{-kt} becomes

23=46{\times}e^{-0.1374t}

\frac{23}{46}=e^{-0.1374t}

\frac{1}{2}=e^{-0.1374t}

Taking log on both sides, we get

ln(\frac{1}{2})={-0.1374t}

t=\frac{ln\frac{1}{2}}{-0.1}

t=\frac{-0.6931}{-0.1374}

t=5.0days

4 0
3 years ago
The hypotenuse of a 30o-60o-90o triangle measures 4 square 3 inches. What is the length of the shorter leg?
Fofino [41]

<u><em>Answer:</em></u>

The shorter leg is 2\sqrt{3} inches

<u><em>Explanation:</em></u>

The 30°-60°-90° is a special type of right-angled triangles

<u>It has the following special side length:</u>

The length of the side opposite to the 30° is \frac{1}{2} the length of the hypotenuse

The length of the side opposite to the 60° is \frac{\sqrt{3} }{2} of the hypotenuse

<u>Now, we know that</u> the lengths of the sides in a triangle are proportional to the angles

<u>This means that</u> the shortest side will be the one opposite to the smallest angles

In our case, the shortest side will be the one opposite to the 30° angle

We are given that the hypotenuse of the triangle is 4\sqrt{3} in

<u>From the above:</u>

Shorter leg = leg opposite to 30° = \frac{1}{2} * hypotenuse = \frac{1}{2} * 4\sqrt{3} = 2\sqrt{2} inches

Hope this helps :)

5 0
3 years ago
The two triangles in the following figure are congruent. What is m&lt; B
balu736 [363]

Answer:

37°

Step-by-step explanation:

Sum of angles in a triangle = 180°

So 96 + 47 = 143

180 - 143 = 37

5 0
3 years ago
-3x^2-5x+9=0 what is the value for a,b,and c
Tju [1.3M]

Answer:

a = -3  b = -5  c = 9

Step-by-step explanation:

A quadratic function is written in the form

ax^2 +bx +c =0

-3x^2-5x+9=0

a = -3  b = -5  c = 9

3 0
2 years ago
What is the area of a regular octagon with a side length of 4.6 meters and a length from the center to a vertex of 6 meters? HEL
Shtirlitz [24]

<span>What is the area of a regular octagon with a side length of 4.6 meters and a length from the center to a vertex of 6 meters? 

Good Morning
 
The Correct Answer is c) 101.2

Hope I Helped


-Nullgaming650

</span>
6 0
3 years ago
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