Ask question

Ask question

All categories

3 years ago

7

The height of an equilateral triangle h equals 3√2s where s is the length of a side. Suppose an equilateral triangle is made wit

h 2-inch toothpicks. a. Which set of numbers best describes the value of s in inches? b. Which set of numbers best describes the value of h in inches? A. a. Whole numbers b. Rational numbers B. a. Whole numbers b. Irrational numbers C. a. Integers b. Irrational numbers D. a. Integers b. Rational numbers

1 answer:

nirvana33 [79]3 years ago

4 0

Answer:

The correct option is;

B. a. Whole number b. Irrational number

Step-by-step explanation:

The height, h of the equilateral triangle = 3·√2·s

The item by which equilateral triangle is made = 2-inch toothpicks

Therefore, we have;

The sides of the equilateral triangle = Comprises multiples of 2 inches

Therefore, the sides of the equilateral triangle is a whole number

The height of the triangle is the product of the side and (√3)/2

Therefore, the height of the triangle is an irrational number

The correct option is A. a. Whole number b. Irrational number.

A whole number are the positive counting numbers, 0, 1, 2, ..., while an integer includes negative numbers which is not possible for a real triangle.

You might be interested in

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Luda [366]

Answer:

It is 300.88.

Step-by-step explanation: In order for the perimeter of the base to be 18.2, the length and width would have to be 9.1, knowing this, you can plug it into the formula for a pyramid like usual with the height provided.

5 0

3 years ago

What are the roots of the quadratic equation 2x2+7x+4=0? Select all that apply.

skad [1K]

Answer:

option A and B

$x=\frac{-7+\sqrt{17}} {4}$

and

$x=\frac{-7-\sqrt{17}} {4}$

Step-by-step explanation:

we have

$2x^2+7x+4=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$2x^2+7x+4=0$

so

$a=2\\b=7\\c=4$

substitute in the formula

$x=\frac{-7\pm\sqrt{7^{2}-4(2)(4)}} {2(2)}$

$x=\frac{-7\pm\sqrt{17}} {4}$

so

$x=\frac{-7+\sqrt{17}} {4}$

and

$x=\frac{-7-\sqrt{17}} {4}$

7 0

3 years ago

Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below.Which statements about the function are true? Select thre

sertanlavr [38]

The statements about the function that are true are

The vertex of the function is at (–3,–16).
The graph is increasing on the interval x > –3.
The graph is positive only on the intervals where x < –7 and where x > 1.

<h3>How to interpret the graph?</h3>

The equation of the graph is given as

f(x) = (x - 1)(x + 7)

The graph of the function is added as an attachment

On the graph, we have

Vertex = (-3, -16)

This is so because the graph has a minimum point of (-3, -16)

Also, the graph crosses the x-axis at x = 1 and x = -7

This means that the graph is positive at x >1 and x >-7

Because the vertex is a minimum, the graph is increasing at the left of its symmetry i.e. x > -3

Read more about quadratic functions at

brainly.com/question/14933288

#SPJ1

7 0

1 year ago

A and B solve please

ASHA 777 [7]

Answer:

a) $7.27344

b) 263.974 hours

Step-by-step explanation:

a)

+) 1 day = 24 hours

+) The cost for 1000 watts each hour is $0.05051 so that each hour use of 1 watt costs: $0.05051 / 1000 = $0.00005051

+) Each hour, each electric heater uses 1200 watts costs: $0.00005051 x 1200 = $0.060612

=> In 24 hours, to heat each electricity heater costs: $0.060612 x 24 = $1.454688

=> In 24 hours, to heat 5 electricity heaters costs: $1.454688 x 5 = $7.27344

<em>So that it costs $7.27344 to heat her house for 1 day</em>

<em />

b)

As calculated, the cost to use 1 watt in one hour is $0.00005051

=> The cost to use 75 watts in one hour is: $0.00005051 x 72 = $0.00378825

Assume that the hours of using 72 watts to cost $1 is x (hour)

So that: $0.00378825 * x = $1

=> x = 1/ 0.00378825= 263.974 hours

<em>It takes 263.974 hours for a 75-watt lightbulb to stay on to result in $1 electricity charges</em>

<em />

5 0

3 years ago

Ten plus two times the quantity of a number plus four

yuradex [85]

The answer is 16x because if you add 10 and 2 you get 12 then add 4 you get is 16 but you need to multiply by x so you write it as 16x

4 0

3 years ago

Read 2 more answers