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3 years ago

How do I find the value(s) of the variable(s)

Mathematics

2 answers:

IgorLugansk [536]3 years ago

7 0

You need to do the ones in the parentheses first

12345 [234]3 years ago

3 0

Vertical angles are always congruent, so that means 2x+40 = 110 and y+20= 70.
So therefore x= 35 and y= 50

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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

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

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

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

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

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

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

8 0

3 years ago

C=2(3.14)r; c=14(3.14) solve for r

tekilochka [14]

Answer:

c=2(3.14)r

given c=14(3.14), then r

make r the subject formula and substitute given c=14(3.14)

r=c/2(3.14)

r=14(3.14)/2(3.14)

r=7

Step-by-step explanation:

7 0

3 years ago

Katie has 4 times as many songs on her music player as Lou. Tiffany has 6 times as many songs on her music player as Lou. Altoge

Dmitry_Shevchenko [17]

Kelly has 248 songs, hope this helps!

7 0

3 years ago

2.283:3<br> What is the answer ?

ehidna [41]

Answer:

0.761

Step-by-step explanation:

first you do 3 divided by 2.2 and get .733 which you round to .7

next you do 3 divided by 2.28 and get .76

last you do 3 divided by 2.283 and get .761

6 0

3 years ago

Read 2 more answers

What is the equation for 14 more than 5 times more the number is 39

Inga [223]

Answer:

14 + 5x = 39

Step-by-step explanation:

first I had to remember the keywords that gave me a hint of what I have to write. I figured out that more is plus ( + ) , times is multiplication ( x ) , and is is the equal sign ( = ).

5 0

3 years ago