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yaroslaw [1]
2 years ago
15

A 9 foot ladder is placed 4 feet from the base of a building.about how high does the ladder reach

Mathematics
1 answer:
NeTakaya2 years ago
7 0

Answer:

8.06 feet

Step-by-step explanation:

use the Pythagorean theorem

9^2 = 4^2 + x^2

81 =16 +x^2

x^2 = 65

x = 8.06 feet

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Explain two methods for solving an equation. Give an example.
svlad2 [7]

For solving system of equations, we can use either substitution where we plug one equation into the other, or elimination where we combine the equations.


- Using elimination, you would to eliminate one variable from both equations, so you automatically would get one equation with one variable!


- Using substitution means you are going to solve one equation for one variable and substitute with its value in the other equation in order to get also an equation with one variable.



Let's take an example ...

y+x=2            and      y-2x = 1

<span>Using <span>elimination, we need to subtract these two equation; one from the other...

y+x=2
-
y-2x=1
-----------
0+3x=1

then x=1/3       

and then substitute into any equation to get y-value</span></span>
y+x=2
y+1/3 = 2        >>>>>    y=5/3



NOW...<span>Using substitution
</span>y+x=2            and      y-2x = 1 >>(y=1+2x)

Plug (y=1+2x) into y+x=2    and solve for x
y+x=2
(1+2x) + x =2
1+3x = 2
3x=1

again (and for sure) x = 1/3

plug in x=1/3 into any of the equations above to get y:
y+x=2
y+1/3=2
y=5/3


DOne  !!!!!!


I hope you got the idea

If you still need help, just let me know.




7 0
3 years ago
Felipe borrowed $8000 at a rate of 16.5%, compounded monthly. Assuming he makes no payments, how much will he owe after 7 years?
Gelneren [198K]

Answer:

$25,193.17

Explanation:

Given:

• Principal Felipe borrowed, P=$8000

,

• Annual Interest Rate, r=16.5%=0.165

,

• Compounding Period, k=12 (Monthly)

,

• Time, t=7 years

We want to determine how much he will owe after 7 years.

In order to carry out this calculation, use the compound interest formula below:

A(t)=P\mleft(1+\frac{r}{k}\mright)^{tk}

Substitute the values defined above:

A(t)=8000\mleft(1+\frac{0.165}{12}\mright)^{12\times7}

Finally, simplify and round to the nearest cent.

\begin{gathered} A(t)=8000(1+0.01375)^{84} \\ =8000(1.01375)^{84} \\ =\$25,193.17 \end{gathered}

After 7 years, Felipe will owe $25,193.17.

3 0
1 year ago
Which of the following expressions describes the solution to -2x &lt; -10
larisa [96]
The answer would be ×>5 because when u divide by a negative the sign will switch.
7 0
3 years ago
In the figure, AB is divided into equal parts. The coordinates of point A are (2, 4), and the coordinates of point Bare (10,6).
olasank [31]

Answer: D = 4, 4.5

E = 5, 4.75

H = 8, 5.5

I = 9, 5.75

Step-by-step explanation:Gang

4 0
3 years ago
Which of the following is the solution to |x|-5&lt;= -13?
kow [346]

Answer:

drishyam 2 train to bysan

Step-by-step explanation:

7 0
2 years ago
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