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3 years ago

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(a) 50% of 164 (b)75%of 12 (c) 25/2 of 64

1 answer:

Pani-rosa [81]3 years ago

7 0

Here goes the answer. Please mark brainliest.

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In the right ΔABC, AN is the altitude to the hypotenuse. Find BN, AN, and AC, if AB=2√5 in and NC= 1 in.

kipiarov [429]

Answer:

$BN=4\ \text{in}$

$AN=2\ \text{in}$

$AC=\sqrt{5}\ \text{in}$

Step-by-step explanation:

Let $BN=x$

$BC=c$

$NC=y=1\ \text{in}$

$AB=a=2\sqrt{5}\ \text{in}$

$AC=b$

We have the relation

$\dfrac{BC}{AB}=\dfrac{AB}{BN}\\\Rightarrow \dfrac{c}{a}=\dfrac{a}{x}\\\Rightarrow c=\dfrac{a^2}{x}\\\Rightarrow x+1=\dfrac{a^2}{x}\\\Rightarrow x^2+x=20\\\Rightarrow x^2+x-20=0\\\Rightarrow x=\frac{-1\pm \sqrt{1^2-4\times 1\times \left(-20\right)}}{2\times 1}\\\Rightarrow x=4,-5$

$\boldsymbol{BN=4\ \text{in}}$

$h=\sqrt{a^2-x^2}\\\Rightarrow h=\sqrt{(2\sqrt{5})^2-4^2}\\\Rightarrow h=2\ \text{in}$

$\boldsymbol{AN=2\ \text{in}}$

$b=\sqrt{h^2+y^2}\\\Rightarrow b=\sqrt{2^2+1^2}\\\Rightarrow b=\sqrt{5}\ \text{in}$

$\boldsymbol{AC=\sqrt{5}\ \text{in}}$

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3 years ago

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andrey2020 [161]

The answer to that is: -12f+6g
Hope this helps ;-)

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The cost of the burger went up 2%/ and you can also subtract 6 from8 and get the answer. Thank you have a nice day

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3 years ago

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zepelin [54]

Answer:

1. The product of thirty and eight more than fifty-two.

2. Thirty times the sum of eight and fifty-two

Step-by-step explanation:

1) 52+8 (eight more the fifty-two )

52+8 (The product of thirty and eight more than fifty-two.)

2) 52+8 (The sum of eight and fifty-two)

52+8 (Thirty times the sum of eight and fifty-two)

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