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JulsSmile [24]
1 year ago
13

Calculate the missing value. (Not drawn to scale.)

Mathematics
1 answer:
True [87]1 year ago
5 0

Answer:5in

Step-by-step explanation:

1. Identify the triangle

you are given a right triangle with the hypotonus missing and are given the side lengths 3 and 4 you know the hypotonus is 5 by the 3,4,5 Pythagorean tripe, if you do not notice this it can be solved with the Pythagorean theorem a^2+b^2=c^2

2. solve (if not done with 3,4,5 triple)

3^2+4^2=c^2

9+16=c^2

25=c^2

5=c | square root both sides to cancel the square

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Evaluate ∫ e3x cosh 2x dx A.1/ e5x+1/ex+C 10 2 B. 1/ e3x + 1/ x + C 42 C. 1/ e5x + 1/ 10 5 x + C D. 1/ e5x + 1/ ex + C 22
Irina18 [472]
Sh(2x) = (e^2x + e^-2x)/2 

<span>Thus the integral becomes </span>

<span>Int[e^3x*(e^2x + e^-2x)/2] = Int[(e^5x + e^x)/2] </span>

<span>= e^5x/10 + e^x/2 + C 
</span>=(1/10)(e^5x) + (1/2)(e^x) + C
3 0
3 years ago
A taxi driver wrote a formula to represent the mileage and fee for his last customer. He wrote the equation 3.00 + 0.50 m = 9.50
Vsevolod [243]

Answer: The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.

Three dollars plus $0.50 times the number of miles is equal to nine dollars and fifty cents.

Step-by-step explanation:

Hi, to answer this question we have to analyze the equation given:

3.00 + 0.50 m = 9.50

Where m is the number of miles.

The equation states that the fixed fee charged (3.00) plus the product of the value of each mile traveled (0.50) and the number of miles traveled (m); is equal to 9.50.

So, the correct statements are:

  • The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.
  • Three dollars plus $0.50 times the number of miles is equal to nine dollars and fifty cents.

Feel free to ask for more if needed or if you did not understand something.

7 0
3 years ago
Read 2 more answers
Write the pair of fractions as a pair of fractions with a common denominator
andrew-mc [135]
We would need the fractions given
5 0
3 years ago
What is a simpler form of the expression?<br><br> (2n^2 + 5n +3)(4n - 5)
coldgirl [10]

Answer:

8n³ + 10n² - 13n - 15

Step-by-step explanation:

Distribute the factors by multiplying each term in the first factor by each term in the second factor, that is

4n(2n² + 5n + 3) - 5(2n² + 5n + 3) ← distribute both parenthesis

= 8n³ + 20n² + 12n - 10n² - 25n - 15 ← collect like terms

= 8n³ + 10n² - 13n - 15

5 0
3 years ago
Read 2 more answers
twinlakes on the shelf of a covenience store lose their fresh tastines over time. we say that the taste quality is 1 when the tw
Zolol [24]

Answer:

The graph is shown below.

The time to make the taste to half is <u>4.265 s.</u>

Step-by-step explanation:

Given:

Initial value of the taste is, Q_0=1

Therefore, the quality of taste over time 't' is given as:

Q(t)=Q_0(0.85)^t\\Q(t)=1(0.85)^t

Now, when the taste reduces to half, Q=0.5

Therefore,

0.5=1(0.85)^t

Taking natural log on both the sides, we get:

\ln(0.5)=\ln(0.85)^t\\\ln(0.5)=t\ln(0.85)\\t=\frac{ln(0.5)}{\ln(0.85)}=4.265\ s

Therefore, the time to make the taste to half is <u>4.265 s.</u>

4 0
3 years ago
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