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3 years ago

10

How do I find cube roots

1 answer:

anyanavicka [17]3 years ago

6 0

Answer:

Step-by-step explanation:

5-500 is sqare 5

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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

2 years ago

David has a hose that is 27 ft long. He wants to cut it into two pieces so that the longer piece is 3 ft more than 2 times the l

makvit [3.9K]

the shorter piece is 8 feet long

the longer piece is 19 feet long

HOPE THIS HELPS!!!

8 0

3 years ago

Given the function f(x) = −2x + 8, find x if f(x) = 14 ...?

Over [174]

14 = - 2x + 8
2x = - 6
x = - 3

5 0

3 years ago

Read 2 more answers

Blossom typed 1/8 of her report on Monday. She typed 1/4 of the report of Tuesday. How much of the report does she need to type

DochEvi [55]

Answer:4

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The larger of two numbers is 15 more than 3 times the smaller number. If the sum of the two numbers is 63 find the numbers

scoray [572]

Answer:

X = 51

Y = 12

Step-by-step explanation:

2 numbers: (Larger) Number 1 is x and Number 2 is y

The equation is x + y = 63

x = 3y +15
y = y

New equation is:

3y + 15 + y = 63

Combine like variables:

4y + 15 = 63

Solve:

4y + 15 - 15 = 63 - 15
4y = 48

Divide 4 from each side:

<em><u>y = 12</u></em>

To find x fill in the variables from the 'x =' equation:

x = 3y + 15
x = 3( 12) + 15
<em><u>x = 51</u></em>

3 0

2 years ago