Is it possible to draw a triangle with sides that are 4 inches, 5 inches, and 8 inches long? Justify your answer

Answers

Answer 1

Answer: Yes, because 4+5>8....

Answer 2

Answer: yea because 4+5 is 9 and 8 is less than 9

Related Questions

A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectile is modeled using the equation h(t) = –16t2 + 48t + 190.What is the maximum height of the projectile? A. 82 feet B. 190 feet C. 226 feet D. 250 feet
Divide mentally.1.2 ÷ 3,000 = ?
Steven has a rectangular closet the length is 10 feet and the width is 48 inches determine the area of the closet in square feet
I took $6.00 off an $11.00 item. What % got taken off. How do I figure that out?
What is 21/72 simplified to?

1) A hardware company's cost, in thousands of dollars, is represented by the function C(x)=0.5x+900 and its revenue, in thousands of dollars, is represented by the function R(x)=4x. Each package of nuts and bolts is represented by x. How much will the company profit if they sell 80000 packages? Round your answer to the nearest dollar, and do not include the dollar sign in your answer.

Answers

Answer:

Profit = $279,100

Step-by-step explanation:

We know

Profit = Revenue - Cost

Given Cost equation and Revenue equation, we can find profit equation. Shown below:

$Profit=Revenue-Cost\nP(x)=R(x)-C(x)\nP(x)=4x-(0.5x+900)\nP(x)=4x-0.5x-900\nP(x)=3.5x-900$

Where x, is the number of packages.

The company will profit when selling 80,000 packages is:

$P(x)=3.5x-900\nP(80000)=3.5(80000)-900=279,100$

Profit = $279,100

Aspen bakery sold 40 boxes of rolls in one day. Each box holds 6 rolls. How many rolls did the bakery sell?

Answers

40 boxes * 6 rolls = 240 rolls

They sold 240 rolls

91 is 65% of what number

Answers

First turn 65% into a decimal. So 0.65
Then divide 91 by that decimal.
91÷0.65=140
So 91 is 65% of 140

okay so its saying that 91 = 0.65x
all we have to do is solve this like an equation
so we divide both sides by 0.65
91 = 0.65x
÷0.65 = ÷0.65 the 0.65s on the right side cancel out and x is alone
140 = x
so our answer is 140!
or to write this in proper answer form we would say
91 is 65% of 140
i hope this was helpful:)
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List the multiples of 8 (up to 100)

Answers

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104

8 16 24 32 40 48 56 64 72 80 88 96 104

PLEASE HELP MEEEEE. Write an equation for the line that passes through the points (2,0) and (0,-3). Remember that drawing a diagram (in this case, drawing a graph) can be very helpful.

Answers

Answer:

y = 3/2x - 3

Step-by-step explanation:

see the pic for the steps

Find the coordinates of the vertex and the equation of the axis of symmetry for the parabola with the given equation.y = x2 - 7x + 12
vertex= ?
axis line of symmetry equation?

Answers

Answer:

The vertex is at ( 3.5, -0.25)

and the axis of symmetry is x = 3.5.

Step-by-step explanation:

Convert to vertex form:

y = x^2 - 7x + 12

y = (x - 3.5)^2 - 3.5^2 + 12

y = (x - 3.5)^2 - 0.25

y = (x - 3.5)^2 - 0.25.

So the vertex is at ( 3.5, -0.25)

and

the axis of symmetry is x = 3.5.

Final answer:

The vertex of the parabola y = x² - 7x + 12 is at (3.5,-0.25) and the equation of the axis of symmetry is x = 3.5.

Explanation:

The given quadratic equation is y = x² - 7x + 12. To determine the vertex and the equation of the axis of symmetry, we need to first find the x-coordinate of the vertex, which is determined by the formula -b/2a. Here in our equation, a = 1 (coefficient of x²) and b = -7 (coefficient of x), so x = -(-7)/(2*1) = 3.5.

The x-coordinate of the vertex is thus 3.5. Now, to get the y-coordinate of the vertex, we substitute x = 3.5 into our equation, so y = (3.5)² - 7*(3.5) + 12 = -0.25. Therefore, the vertex of the parabola is at (3.5,-0.25). The line of symmetry of a parabola always passes through the vertex, so the equation of the axis of symmetry is x = 3.5.

Learn more about Vertex and Axis of Symmetry here:

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