How many 1/2 are in 4 in

defon

Well the equation is (A^2)+(B^2)=(C^2)

A= x
B= 2x
C will always be the longest side because it is the Hypotenuse = 25

So if you plug in those numbers into the equation...

(x^2) + (2x^2) = (25^2)

x^2 + 4x^2 = 625

Combine like terms

5x^2 = 625

Divide by five to both sides

x^2 = 125

Then Square root,

x = sqrt(125)

x = sqrt(25* 5)

x = 5sqrt(5)

3 0

3 years ago

Jason had to replace the floor of a triangular portion of his dining room. The portion had a height that was twice as high as th

Eva8 [605]

Answer:

4 feet

Step-by-step explanation:

We know the the area of a triangle can be represented as $\frac{bh}{2}$ .

Since the height is twice the base, we can substitute the value $2b$ in as $h$ in the expression, making it $\frac{b\cdot2b}{2}$ . If the area is 16, we can make the equation

$\frac{b\cdot2b}{2} = 16$

Now to solve for b.

$\frac{2b^2}{2} = 16\\\frac{2b^2}{2}\cdot2 = 16\cdot2\\\\2b^2 = 32\\\\2b^2\div2 = 32\div2\\\\b^2 = 16\\\\b=4$

Hope this helped!

3 0

3 years ago

Given uv = su tu sv prove vt = st

Lady bird [3.3K]

Answer: see proof below

<u>Step-by-step explanation:</u>

$\begin{array}{cl|cl}&\underline{\text{Statement}}&&\underline{\text{Reason}}\\1.&TU\perp SV&1.&\text{Given}\\2.&\angle TUV = 90^o&2.&\text{De finition of Perpendicular angles}\\&\angle TUS = 90^o&&\\3.&\angle TUV=\angle TUS&3.&\text{Transitive Property}\\4.&UV=US&4.&\text{Given}\\5.&TU=TU &5.&\text{Reflexive Property}\\6.&\triangle TUV = \triangle TUS&6.&\text{SAS Congruency Theorem}\\7.&VT=ST&7.&CPCTC\end{array}$

5 0

3 years ago

What does (f(x)) mean in math for a input and output graph?

shtirl [24]

In maths, f (x) means as a special relationship where every single input has one output.

<u>Step-by-step explanation:</u>

In mathematics, a function is any expression that gives exactly one answer for each particular number. Input is the number provided in the expression, and output is the number obtained from the search or calculation.

In an ordered pair, input’s first number corresponds to the horizontal axis, and output’s second number in the vertical axis. These ordered pairs can then be plotted. Some data on the costs associated with this are called relationships. For example,

$f(x)=x^{2}$