All categories

3 years ago

A right triangle has leg lengths 8 and x. The hypotenuse length is (x + 2). What is the length of the hypotenuse?

Mathematics

1 answer:

umka2103 [35]3 years ago

4 0

Answer:

17 is the length of the hypotenuse.

Step-by-step explanation:

The pythagora theorem tells us a²+b²=c², where C is hypotenuse.

Replace the given info into the formula:

8² + x² = (x+2)²

64 + x² = x² + 4x + 4

64 - 4 = 4x

60 = 4x

x = 60/4

x = 15

Hypotenuse length is 15+2=17

You might be interested in

A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s

Setler [38]

Answer:

$310\text{ feet and }210\text{ feet}$

Step-by-step explanation:

GIVEN: A farmer has $520 \text{ feet}$ of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is $310 \text{ feet}$ .

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be $x$ and $y$

perimeter of rectangular pen $=2(x+y)=520\text{ feet}$

$x+y=260$

$y=260-x$

area of rectangular pen $=\text{length}\times\text{width}$

$=xy$

putting value of $y$

$=x(260-x)$

$=260x-x^2$

to maximize $\frac{d \text{(area)}}{dx}=0$

$260-2x=0$

$x=130\text{ feet}$

$y=390\text{ feet}$

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen $=310\text{ feet}$

width of rectangular pen $=210\text{ feet}$

Maximum area of rectangular pen $=310\times210=65100\text{ feet}^2$

Hence maximum area of rectangular pen is $65100\text{ feet}^2$ and dimensions are $310\text{ feet and }210\text{ feet}$

5 0

3 years ago

What are the intercepts of the equation <br> 2x+3/2y+3z=6

Ne4ueva [31]

X-intercept => 2x = 6 => x = 3
x-intercept is 3.

y-intercept => 3/2y = 6 => y = 4
y-intercept is 4.

z-intercept => 3z = 6 => z = 2
z-intercept is 2.

3 0

3 years ago

5. Solve y = ab - x for b.

ivanzaharov [21]

Here is your answer ⬇️

7 0

3 years ago

Read 2 more answers

CAN SOMEONE HELP PLEASEEEEEE!!!!!!

sukhopar [10]

Answer: What the f

Step-by-step explanation:

6 0

3 years ago

Order of operations is defined as _____.

gavmur [86]

Answer: PEMDAS

parentheses

Exponent

Multiplication

Division

Addition

Subtraction

Step-by-step explanation:

8 0

3 years ago