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docker41 [41]
3 years ago
6

What is the value of x?

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
7 0
We can use the Pythagorean theorum

a^2+b^2=c^2

c^2 is the length of the longest side squared

so 

6^2 + b^2 = 10^2

36+ b^2 = 100
-36               -36

b^2 = 64

b = 8

b is the same thing as your "x", so x = 8
oksian1 [2.3K]3 years ago
5 0

Answer:

8=x

Step-by-step explanation:

From the given figure, it is given that ABC is a right angled triangle whch is right angled at B and AC=10, AB=x and BC=6.

Now, since, ABC is a right angled triangle, therefore we can apply the Pythagoras theorem on this triangle, therefore we have

(AC)^2=(AB)^+(BC)^2

Substituting the given values, we get

(10)^2=(x)^2+(6)^2

100=x^2+36

100-36=x^2

64=x^2

8=x

Therefore, the value of x is 8.

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7 0
3 years ago
The population of bacteria in a culture doubles every 14 hours. How long will it take for
Snezhnost [94]

Answer:  22 hours 11 minutes

<u>Step-by-step explanation:</u>

P=P_o\cdot e^{(kt)}\\\\\text{Since the initial population is doubled in 14 hours, then:}\\2P_o=P_o\cdot e^{k\cdot 14}\\2=e^{14k}\\ln\ 2=ln\ e^{14k}\\ln\ 2=14k\\\\\dfrac{ln\ 2}{14}=k\\\\0.0495=k\\\\\\\text{Now that the k-value has been determined, we can find the time when the}\\\text{population is tripled:}\\3P_o=P_o\cdot e^{0.0495t}\\3=e^{0.0495t}\\ln\ 3=ln\ e^{0.0495t}\\ln\ 3=0.0495t\\\\\dfrac{ln\ 3}{0.0495}=5\\\\22.19=t\\\\22\ hrs +0.19\ hrs

22\ hours + \bigg[\dfrac{19}{100}=\dfrac{x}{60}\bigg]\\\\22\ hours + 11\ minutes

4 0
3 years ago
One year ago, Joan was five times as old as her pony. In one year's time, the sum of the ages will be 22. How old is Joan now?​
iogann1982 [59]

Answer:

22 divided 5 I would think

Step-by-step explanation:

4 0
3 years ago
Which are the roots of the quadratic function f(q) = q^2 - 125? Select two options.
GalinKa [24]
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7 0
3 years ago
Read 2 more answers
Please Help. Find the area. Thank you
Andru [333]

Answer:

432 yd squared

Step-by-step explanation:

This is a parallelogram. The area of a parallelogram is denoted by: A = bh, where b is the base and h is the height. Here, the base is b = 19 1/5 and the height is h = 22 1/2. Plug these in:

A = bh = (19 1/5) * (22 1/2)

To make this simpler, let's convert the numbers into decimals. 1/5 is just 0.2 so 19 1/5 is 19.2. 1/2 is just 0.5, so 22 1/2 is 22.5. Now we have:

A = 19.2 * 22.5 = 432

Thus the area is 432 yd squared.

Hope this helps!

7 0
3 years ago
Read 2 more answers
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