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Eduardwww [97]
3 years ago
10

Find FL if H is the circumcenter of EFG,

Mathematics
1 answer:
Zanzabum3 years ago
8 0

The artistic crop isn't helpful; it cuts off some vertex names.

The circumcenter H is the meet of the perpendicular bisectors of the sides, helpfully drawn.  We have right triangle ELH, right angle L, so

EH² = HL² + EL²

EL = √(EH² - HL²) = √(5.06²-2.74²) ≈ 4.2539393507665339

Since HL is a perpendicular bisector of EF, we get congruent segments FL=EL.

Answer: 4.25

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1.The length of a ship model is 3% of the length of the actual ship. The model is 1.5 M long. How long is the actual ship? ____M
Vilka [71]
We have to find 100% of the number. We can use proportion to get it
3% -----------1.5m
100% -------- x
crossmultiply now
3*x=1.5*100
3x=150      /:3 divide both sides by 3
x=50m

2. Similar situation
40% ------------1000
100% -----------x
crossmultiply
40*x=100*1000
40x=100000      /:40
x=2500 - its the answer
8 0
3 years ago
Factor the expression using the GCF 75m+85
Sloan [31]

General Idea:

To find the Greatest Common Factor of binomial, we need to write each term as product of prime factors. GCF by definition means the product of common prime factors involved with its lowest terms. It is a number which will go in to both the terms in a binomial.

Given :

75m + 85

Applying the concept :

75m=3 \; \times \; 5^2 \; \times m\\\\85=5 \; \times \; 17\\\\GCF\; of\; 75m + 85 \;is\; 5

In order to get the expression inside the parenthesis after factoring GCF 5, we need to divide each term by what we factor out as shown below:

75m+85=5( \frac{75m}{5}  + \frac{85}{5}  )=5(15m+17)



8 0
3 years ago
Read 2 more answers
Find the vertical asymptote(s) of f of x equals quantity 4 x squared plus 3x plus 6 end quantity over quantity x squared minus 3
siniylev [52]

The vertical asympototes of f(x) are  at x = -6 and x = 6

Step-by-step explanation:

To find the vertical asymptote(s) of a rational function,

  • Equate the denominator by 0
  • Solve it for x
  • If x = a, then the vertical asymptote is at x = a

∵ f(x)=\frac{4x^{2}+3x+6}{x^{2}-36}

- Equate the denominator x² - 36 by 0

∵ x² - 36 = 0

- Add 36 to both sides

∴ x² = 36

- Take √ for both sides

∴ x = ± 6

∴ There are vertical asymptotes at x = -6 and x = 6

The vertical asympototes of f(x) are  at x = -6 and x = 6

Learn more:

You can learn more about the asymptotes in brainly.com/question/6459599

#LearnwithBrainly

4 0
3 years ago
Select the two values of x that are roots of this equation.<br> 2x+11x+15= 0
Amiraneli [1.4K]

Answer:

The roots of the equation are x=-3 and x=-2.5

Step-by-step explanation:

<u><em>The correct quadratic equation is</em></u>

2x^2+11x+15=0

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

2x^{2} +11x+15=0  

so

a=2\\b=11\\c=15

substitute in the formula

x=\frac{-11(+/-)\sqrt{11^{2}-4(2)(15)}} {2(2)}

x=\frac{-11(+/-)\sqrt{121-120}} {4}

x=\frac{-11(+/-)\sqrt{1}} {4}

x=\frac{-11(+/-)1} {4}

x_1=\frac{-11(+)1}{4}=-2.5

x_2=\frac{-11(-)1}{4}=-3

therefore

The roots of the equation are x=-3 and x=-2.5

5 0
3 years ago
Evaluate ​2(L+​W)<br> for L=10 and W= 2
arsen [322]

Answer:

24

Step-by-step explanation:

2(10+2)

turns into 2×12

so, that would be 24

5 0
2 years ago
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