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kirza4 [7]
3 years ago
11

Find the unknown side of the triangle below A. 4cm B. 3cm C. 9cm D. 19cm

Mathematics
1 answer:
IRINA_888 [86]3 years ago
7 0

Answer:

C - 9 cm

Step-by-step explanation:

We can use the Pythagorean theorem to figure out the missing side length, in this case, X.

The Pythagorean theorem states: a^2 + b^2 = c^2, with c being the hypotenuse. We have the side length of the hypotenuse which is 15, and we have another side length of 12. Let's put these back in our equation:

a^2 + 12^2 = 15^2;

If we simplify the squares by simply doing them: a^2 + 144 = 225;

Now let's subtract 144 from both sides to isolate the variable, a:

a^2 = 81;

Now we square both sides to find a:

a = 9

The missing side length is 9 cm.

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Which of the folowing is equal to 7 1/3
Romashka-Z-Leto [24]

Answer:

22/3

Step-by-step explanation:

Make the whole number turn into a fraction, (21/3) and add the numerator (1/3), which the answer would be 22/3

7 0
3 years ago
The spread of a flu virus on a college campus is modeled by y= 5000/(1+4999e^-0.8t), where y is the number of students infected
Darina [25.2K]

Answer:

537 students

11 days

Step-by-step explanation:

       5000

y=  -----------------

    (1+4999e^-0.8t)

a)  after 8 days  means t =8


       5000

y=  -----------------

    (1+4999e^-0.8*8)

       5000

y=  -----------------

    (1+4999e^-6.4)

       5000

y=  -----------------

    (1+8.306)

       5000

y=  -----------------

    (9.306)

y =537.28

Rounding to the nearest student

y = 537 students


b)  1/2 the student population  means y =2500  (The 5000 is the student population)

             5000

2500=  -----------------

        (1+4999e^-0.8t)

Multiply each side by  (1+4999e^-0.8t)

2500 (1+4999e^-0.8t) = 5000

Divide each side by 2500

(1+4999e^-0.8t) = 5000/2500

(1+4999e^-0.8t) = 2

Subtract 1

(4999e^-0.8t) = 2-1

(4999e^-0.8t)=1

Divide by 4999

(4999/4999e^-0.8t)=1/4999

e^-0.8t=1/4999

Take the natural log of each side

ln(e^-0.8t)=ln(1/4999)

-.8t = ln(1/4999)

Divide by -.8

-.8/-8t = -1/.8 *ln(1/4999)

t = -1/.8 *ln(1/4999)

t≈10.6462

Rounding, it will take 11 days



7 0
3 years ago
Read 2 more answers
Pleaseeee please help omgggg
yanalaym [24]
7 is the median. 8.9 is the mean. Or maybe 8. Hope this helps
7 0
3 years ago
Mai, Clare, and Noah are making signs to advertise the school dance. It takes Mai 6 minutes to complete a sign, it takes Clare 8
Vaselesa [24]

Answer:

There is no question here, but suppose you want to find the number of signs they can make in half an hour, the answer is 14.

Step-by-step explanation:

Times it take to complete a sign.

Mai = 6 minutes

Clare = 8 minutes

Noah = 5 minutes.

Since they keep working for half an hour, which is 30 minutes. Suppose we want to find how many signs they can all make in that time, all we have to do is determine how many signs each person can make and then sum it.

Mai, who makes one every 6 minute, can make only 30/6 signs in 30 minutes. 30/6 = 5

Mai can make 5 signs in that time

Clare, who makes one every 8 minute, can make only 30/8 signs in 30 minutes. 30/8 = 3.75

She can only make 3 signs.

Noah, who makes one every 5 minute, can make only 30/5 signs in 30 minutes. 30/5 = 6

He can only make 6 signs.

In total, they can make 6 + 5 + 3 = 14 signs in half an hour.

8 0
3 years ago
Which of the equations below shows the relationship in the table? [X] [15] [5] [3] [1] -----------------------------------------
Nataly_w [17]
Y=15/x or xy=15 it seems that a should be 15/x

4 0
3 years ago
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