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3 years ago

Find the perimeter of the right triangle.

Mathematics

2 answers:

Contact [7]3 years ago

3 0

Answer:

b. 36

Step-by-step explanation:

You have to use Pythagorean theorem. A squared + b squared = c squared.

a=12 12^2 (12 squared)= 144

b=9 9^2 (9 squared)= 81

144+81=225

Then you find the square root of 225 which is 15. Since you have the length for side c.

12+9+15=36

n200080 [17]3 years ago

3 0

Answer:

Step-by-step explanation

You would first have to find the hypotenuse to do that you would follow the formula c = √a²+b², giving you 15.

Next you would add all the sides P = a+b+c, giving you 36.

The perimeter of this triangle would be 36.

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Which of the following reveals the minimum value for the equation 2x^2 − 4x − 2 = 0?

12345 [234]

Answer:

$2(x-1)^{2}=4$

Step-by-step explanation:

<u><em>The options of the question are</em></u>

2(x − 1)2 = 4

2(x − 1)2 = −4

2(x − 2)2 = 4

2(x − 2)2 = −4

we have

$2x^{2} -4x-2=0$

This is a vertical parabola open upward

The vertex represent the minimum value

The quadratic equation in vertex form is

$y=a(x-h)^2+k$

where

a is a coefficient

(h,k) is the vertex

Convert the quadratic equation in vertex form

Factor 2 leading coefficient

$2(x^{2} -2x)-2=0$

Complete the squares

$2(x^{2} -2x+1)-2-2=0$

$2(x^{2} -2x+1)-4=0$

Rewrite as perfect squares

$2(x-1)^{2}-4=0$

The vertex is the point (1,-4)

Move the constant to the right side

$2(x-1)^{2}=4$

3 0

3 years ago

How many solutions does the equation have? a+5=1/5(5a+25)

Iteru [2.4K]

A + 5 = $\frac{1}{5}$ (5a + 25)

First, simplify $\frac{1}{5} (5a + 25)$ to $\frac{5a+25}{5}$ / Your problem should look like: $a + 5 = \frac{5a+25}{5}$
Second, multiply both sides by 5. / Your problem should look like: $5a + 25 = 5(a + 5)$
Third, expand to get rid of parenthesis. / Your problem should look like: $5a + 25 = 5a + 25$
Fourth, both sides are equal, resulting it having infinite solutions.

Answer: infinite solutions

6 0

3 years ago

What is 3²+ 474 this is so annoying

Vikentia [17]

$3^{2}$ + 474 equals 483.

First, multiply 3 two (3x3) times to get 9. Your problem should look like: 9 + 474.
Second, add 9 + 474 to get 483, which is the correct answer.

5 0

3 years ago

Read 2 more answers

7x-3y=-7 slope of line perpendicular

kap26 [50]

Answer: -3/7

Step-by-step explanation:

The first step is to find the slope of the line

y = mx + c where m is the slope of the line
Rearrange the equation and we get

3y = 7x + 7
y = 7x/3 + 7/3

So the slope of the line 7x - 3y = -7 is 7/3

There is another rule that states: The product of the slopes of two lines perpendicular to each other is -1

So, the slope of the line perpendicular to 7x - 3y = -7 is -1/(7/3) = -3/7

3 0

2 years ago

My boss has told me that I will need one gallon of paint for every 300 square feet of wall I must paint. Unfortunately, the stor

lubasha [3.4K]

Answer: 14 cans

Step-by-step explanation:

Given, Total area to paint = 400 square meters

approximately 3.28 feet in a meter.

So, 400 square meters = 400 x (3.28)² square feet

i.e. Total area to paint = 4303.36 square feet

One gallon of paint requires for every 300 square feet.

One liter contains approximately 0.264 gallons

Then, One gallon = $\dfrac{1}{0.264}\approx3.78\text{ liters}$

So, 3.78 liters paint requires for every 300 square feet.

Paint requires for each square feet = (3.78)÷(300) liters

Total paint required = (Total area to paint ) x (Paint requires for each square feet)

= (4303.36)x (3.78)÷(300)

≈54.22 liters

Each can contains 4 liters of paint.

Smallest number of cans required = (Total paint required )÷ 4

=(54.22 ) ÷ 4

= 13.55≈ 14

Hence, 14 cans are required .

4 0

3 years ago