Ask question

Ask question

All categories

2 years ago

15

The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the l

engths of the three sides of the triangle. Enter an exact answer. Do not type your answers as fractions or decimals.

2 answers:

kari74 [83]2 years ago

6 0

Answer:

2√3 = hypotenuse

√3 = side

Step-by-step explanation:

$\sqrt{3^{2} +x^{2} } = 2x \\\sqrt{9 +x^{2} } = 2x\\9+x^{2} =(2x)^{2} \\9+x^{2} = 4x^{2} \\9 = 4x^{2} - x^{2} = 3x^{2} \\3 = x^{2}\\\sqrt{3} = x\\\\2x = 2\sqrt{3}\\$

hjlf2 years ago

5 0

Answer:

the smaller side=√3

hypotenuse=2√3

Step-by-step explanation:

(see the attachment below)

You might be interested in

A circle is cut from a square piece of cloth, as shown: A square, one side labeled as 42 inches has a circle inside it. The circ

olasank [31]

Answer:

$\huge\boxed{\sf Area\ of\ the\ circle = 1385.4\ in.\²}$

Step-by-step explanation:

We have to find out the area of the square in order to find how many square inches were cut from the squared cloth.

Diameter = 42 in.

Radius = D / 2 = 42 / 2 = 21 in.

Area of circle = πr²

Where r = 21 in.

Area = (3.14)(21)²

Area = (3.14)(441)

Area of the circle = 1385.4 in.²

$\rule[225]{225}{2}$

Hope this helped!

<h3>~AH1807</h3>

3 0

3 years ago

Read 2 more answers

The heights of 4 students are 5 1/2 feet, 5.35 feet, 5 4/10 feet and 5.5 feet. What is the height in feet of the shortest studen

tester [92]

So 5 1/2ft is 5.50ft u have 5.35ft so 5 4/10 is 5.40ft and u have 5.5ft so the shortest one is 5.35ft
-1/5 is -.2 and -2/3 is -.66 repeated and u have 2 and u have .4 so it would be
-2/3,-1/5,0.4,2 is ure answer

4 0

3 years ago

Solve this equation: y + 3 = –y + 9

Andre45 [30]

Answer:

y = 3

Step-by-step explanation:

y+y = 9-3

2y = 6

y = 3

8 0

3 years ago

Read 2 more answers

Any suggestions or answers

Murrr4er [49]

1 solution. it can't be 2, and if you solve it, there is a solution, x stays in the equation, so there's 1 solution

5 0

3 years ago

A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones. Th

Olegator [25]

Answer:

(a) 74553

(b) 172120

(c) 234802

Step-by-step explanation:

Given

$y = \frac{340110}{1 + 377e^{-0.259t}}$

Solving (a): 1998

Year 1998 means that:

$t =1998 - 1980$

$t =18$

So, we have:

$y = \frac{340110}{1 + 377e^{-0.259*18}}$

$y = \frac{340110}{1 + 377e^{-4.662}}$

$y = \frac{340110}{1 + 3.562}$

$y = \frac{340110}{4.562}$

$y = 74553$ --- approximated

Solving (b): 2003

Year 2003 means that:

$t = 2003 - 1980$

$t =23$

So, we have:

$y = \frac{340110}{1 + 377e^{-0.259*23}}$

$y = \frac{340110}{1 + 377e^{-5.957}}$

$y = \frac{340110}{1 + 0.976}$

$y = \frac{340110}{1.976}$

$y = 172120$ --- approximated

Solving (c): 2006

Year 2006 means that:

$t = 2006 - 1980$

$t =26$

So, we have:

$y = \frac{340110}{1 + 377e^{-0.259*26}}$

$y = \frac{340110}{1 + 377e^{-6.734}}$

$y = \frac{340110}{1 + 0.4485}$

$y = \frac{340110}{1.4485}$

$y = 234802$ --- approximated

3 0

2 years ago