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S_A_V [24]
3 years ago
9

The sum of 86, 68, and 38 is 192. What do you know about the sum of 68, 38, and 86?

Mathematics
1 answer:
Inessa [10]3 years ago
5 0
According to the commutative property of addition, they are the same.

Hope this helps!
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An equilateral triangle with sides of length 6 is inscribed in a circle. What is the diameter of the Circle?
azamat

Answer:

The diameter is 6.92 unit.

Step-by-step explanation:

Given : An equilateral triangle with sides of length 6 is inscribed in a circle.

To find : What is the diameter of the Circle?

Solution :

First we picture the situation.

Refer the attached figure below.

We that the angles of equilateral triangle is 60 degrees.

Then, we divide the triangle into two parts to solve the radius.

As,

∠ACD is 60°

\angle OCD=\frac{\angle ACD}{2}

\angle OCD=\frac{60}{2}=30^\circ

In triangle OCD,

\cos 30^\circ= \frac{CD}{OC}

\cos 30^\circ= \frac{CD}{OC}

\frac{\sqrt{3}}{2}=\frac{3}{r}

r=\frac{3\times 2}{\sqrt{3}}

r=2\sqrt{3}

r=3.4641

Diameter = 2r=2(3.4641)=6.92 unit.

Therefore, The diameter is 6.92 unit.

7 0
3 years ago
Read 2 more answers
Which is the graph of f(x)=2(3)^x
boyakko [2]

Answer:

First graph

Step-by-step explanation:

Start by determining the y-intercept.  Letting x = 0 yields f(0) = 2(1) = 2.  This exponential graph must pass through (2, 0).  This eliminates both the second and the fourth answer choices.

Looking at the first graph, we see that (1, 6) is on the graph.  Does this agree with f(x) = 2(3)^x evaluated at x = 1?  Is f(1) = 2(3)^1 = 6?  YES.  So the first graph is the correct one for f(x) = 2(3)^x.

8 0
4 years ago
One of two supplementary angles is with 30° larger than the other. Find the angles.
allochka39001 [22]

a - (180 -a) = 30  ->   2a -180 = 30  ->    a = 105° and therfore b= 75°

7 0
3 years ago
Write -9/2 divided by 7/5 as a multiplication expression
nordsb [41]
(-9/2)/(7/5)
= (-9/2)*(5/7)
= -45/14
= -3 3/14

The final answer is -3 3/14~
5 0
4 years ago
Given the graph of the absolute value function below write the function in the form?
MariettaO [177]

Answer:

g(x)=|(2)(x+4)|-2

Step-by-step explanation:

B=0.5

h= -4

k= -2

7 0
3 years ago
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