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Troyanec [42]
3 years ago
8

Can any one help me answer this Math question ?

Mathematics
1 answer:
kati45 [8]3 years ago
3 0
The answer is 4*\sqrt(2), or 5.7 if rounded to the nearest tenth digit. Notice that this is a right triangle (F is the right angle). The length of FG and FE are both 4 units on the diagram. Therefore, according to the Pythagorean theorem, the length of EG is \sqrt(4^2+4^2)=4*\sqrt(2), which is about 5.7.
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MATH QUESTION!! WILL MARK BRAINLIEST!! PAST DUE HELP ASAP!!!
monitta

Answer:

<em>Proof below</em>

Step-by-step explanation:

<u>Right Triangles</u>

In any right triangle, i.e., where one of its internal angles is 90°, some interesting relations stand. One of the most-used is Pythagora's Theorem.

In a right triangle with shorter sides a and b, and longest side c, called the hypotenuse, the following equation is satisfied:

c^2=a^2+b^2

The image provided in the question shows a line passing through points A(0,4) and B(3,0) that forms a right triangle with both axes.

The origin is marked as C(0,0) and the point M is the midpoint of the segment AB. We have to prove.

CM=\frac{1}{2}AB

First, find the coordinates of the midpoint M(xm,ym):

\displaystyle x_m=\frac{0+3}{2}=1.5

\displaystyle y_m=\frac{4+0}{2}=2

Thus, the midpoint is M( 1.5 , 2 )

Calculate the distance CM:

CM=\sqrt{(1.5-0)^2+(2-0)^2}

CM=\sqrt{2.25+4}=\sqrt{6.25}=2.5

CM=2.5

Now find the distance AB:

AB=\sqrt{(3-0)^2+(4-0)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}

AB=5

AB/2=2.5

It's proven CM is half of AB

3 0
3 years ago
Expand and simplify: 3 ( g + 5 ) − 3 ( g + 6 )
ZanzabumX [31]

- 3

distribute each bracket, multiplying the terms in the bracket by the value outside the bracket.

= 3g + 15 - 3g - 18 → ( collect like terms)

=(3g - 3g) + (15 - 18) = 0 + ( - 3) = - 3



4 0
3 years ago
Read 2 more answers
Find the product of each pair of complex conjugates.<br>(3+8i)(3-8i)=
sdas [7]
3*3=9

3 *-8i = -24i

8i *3 =24i

8i*-8i = -64i^2 or i^2 =-1. -64*-1=64

-24i + 24i =0

9+64= 73

Answer 73
4 0
3 years ago
Read 2 more answers
Subtract 386 from 72,000 work it out
postnew [5]

Answer:

71614

Step-by-step explanation:

7200-386= 71614

4 0
3 years ago
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Determine what type of observational study is described. Explain. Researchers wanted to determine whether there was an associati
34kurt

Answer:

B. The observational study is a cross-sectional study because information is collected at a specific point in time.

Step-by-step explanation:

1) There are three types of Observational Studies: Case-control, cross-sectional and Cohort.

2) Since the researchers collected information from those 1800 adults at a certain time, then we can call it a cross-sectional study. It does not provide solid results since the research was not done over a period to collect further information. We don't know, for example, much more than what that association deeply mean.

3) If we wonder more, then the researchers would have to track those adults over a given period, i.e. a Cohort would be necessary.

4) Moreover, it's not "retrospective" for virtually every question, always makes us look back somehow, and it does not categorize a kind of observational study.

6 0
3 years ago
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