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2 years ago

Find the altitude of this equilateral triangle - geometry

Mathematics

1 answer:

Bond [772]2 years ago

7 0

Answer:

4√3.

Step-by-step explanation:

If the height is h then

tan 60 = h / (1/2*8)

tan 60 = h/4

h = 4 tan 60

= 4 * √3.

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Solve the system using the substitution method<br> 3x-y=4<br> 5x+3y=9

rjkz [21]

First solve the first equation for 'y'
3x - y = 4 subtract 3x from both sides
-y = -3x + 4 divide both sides by -1
y = 3x - 4 Now take this equation and substitute into the second equation:

5x + 3y = 9
5x + 3(3x - 4) = 9
5x + 9x - 12 = 9
14x - 12 = 9
14x = 9 + 12
14x = 21
x = $\frac{21}{14} = \frac{3}{2}$ or 1.5
Now substitute this value for 'x' into either of the first two equations to find 'y'
I'll use the equation
y = 3x - 4
y = 3(1.5) - 4
y = 0.5

So your solution is (1.5, 0.5)

5 0

3 years ago

What is empathy?

Airida [17]

Answer:

<u>The correct answer is B. The ability to understand what another person is feeling.</u>

Step-by-step explanation:

When we talk about empathy we mean the human capacity to connect emotionally with others, being able to not only understand but also perceive, recognize, and share the suffering, happiness,feelings and emotions of another person. Empathy is a highly valued characteristic in human behavior.

7 0

4 years ago

for any numbers x,y [x=0 in(4) and y = 0 in (5)] and any positive integers m,n, the following holds:x^m · x^n=x^m+nProve number

AlladinOne [14]

Proved

Explanation:

To prove x^m · x^n=x^m+n, let's assign numbers to x, m and n

let x = 2

m = 3, n = 4

x^m · x^n = 2^3 . 2^4

x^m+n = 2^(3+4)

Solve each of the above seperately and comparew the answer:

$\begin{gathered} x^m\times x^n=2^3\times2^4 \\ =\text{ (2}\times2\times2)\times(2\times2\times2\times2) \\ =\text{ 8}\times16 \\ =\text{ }128 \end{gathered}$ $\begin{gathered} x^{m+n}=2^{3+4} \\ =2^7\text{ = 2}\times2\times2\times2\times2\times2\times2 \\ =\text{ 128} \end{gathered}$ $\begin{gathered} sincex^m\times x^n\text{ = 128} \\ \text{and x}^{m+n}\text{ = 128} \\ \text{Therefore, }x^m\times x^n\text{ = x}^{m+n} \end{gathered}$

This expression x^m · x^n=x^m+n has been proved to be equal

4 0

1 year ago

Bananas are $1.18 for 2 pounds. what is the unit price?

photoshop1234 [79]

Answer:

one pound of banana costs $0.59

Step-by-step explanation:

Divide the cost (1.18) by the pounds (2)

1.18/2 = 0.59

3 0

3 years ago

A rectangle is 1/3 yards long and 2/3 yards wide.

Keith_Richards [23]

Area of a rectangle is the product of its length and width. So,

Area = Length x Width

Length of rectangle = 1/3 yards
Width of rectangle = 2/3 yards

So, the area A of the rectangle will be:

$A = \frac{1}{3}* \frac{2}{3} = \frac{2}{9}$

So, the Area of rectangle will be $\frac{2}{9}$ square yards.

3 0

4 years ago