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jeka94
3 years ago
7

Find the value of x in the isosceles triangle shown below. 2 2 5 8

Mathematics
1 answer:
Veronika [31]3 years ago
5 0

Answer:

\sqrt{41}

Step-by-step explanation:

think of this triangle being made up of 2 triangles with the lengths of 5, 4, and x.

x being the hypotenuse, 5 being one of the legs, and 4 being one of the legs. (8/2).

pythagorean theorem:

a^2 + b^2 = c^2

5^2 + 4^2 = x^2

25 + 16 = x^2

41 = x^2

x = sqrt 41

You might be interested in
A college admits a freshman class of 330 students at the beginning of each academic year and graduates 145 students twice a year
Andre45 [30]

Answer:

  • 200 students

Step-by-step explanation:

<u>Change in one year:</u>

  • 330 - 2(145) = 330 - 290 = 40

<u>Change after 5 years:</u>

  • 40*5 = 200 students

5 0
3 years ago
For f(x)= x+5 and g(x)=4x+2 <br> find (fog)(x) And (gof)(x)
Svetllana [295]

Composing functions means that the input of the outer functions is the output of the inner function.

In fact, you can rewrite the circle notation as

(f\circ g)(x)=f(g(x)),\quad (g\circ f)(x)=g(f(x))

So, we can substitute g(x) with its expression:

(f\circ g)(x)=f(g(x))=f(4x+2)

And since f(x)=x+5, we simply have to add 5 to its input:

f(4x+2)=(4x+2)+5=4x+7

Similarly, we have, substituting f with its expression,

(g\circ f)(x)=g(f(x))=g(x+5)

And since g(x)=4x+2, we have to multiply the input by 4 and add 2:

g(x+5)=4(x+5)+2=4x+20+2=4x+22

7 0
3 years ago
117.369 is 24 3/10% of what number?
Tanya [424]
Let's look at the equation:
0.243x=117.369
Divide each side by 0.243.
X=483
So, the number is 483.
4 0
3 years ago
Is it A? If not, why?
Lostsunrise [7]

Answer:

It's A 7^7

Step-by-step explanation:

This is because if two numbers with the same base divide,we subtract the exponent of the divisor from that of the dividend

8 0
2 years ago
How do you get the same base for the power
rewona [7]
You use division

over 2 or 4 or 3 or 5 or 7 and so on
in this case 2 is good

64 = 2 * 2 * 2 * 2 * 2 * 2 ( use division) = 2^6

16 = 2 * 2 * 2 * 2 = 2^4

number reminder
64 0
32 0
16 0
8    0
4   0
2   0
1   1

so 64 = 2^6 (number of zeros) no reminder


3 0
3 years ago
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