Answer:
the density of the iron is 7.9 g /cm^3
Step-by-step explanation:
The computation of the density of the iron is shown below:
Density = weight ÷ volume
= 474 ÷ (5 × 3 × 4)
= 474 ÷ 60
= 7.9 g /cm^3
Hence, the density of the iron is 7.9 g /cm^3
Answer: x > 2.5
Step-by-step explanation:
Since Mrs Gallegos burns 236 calories riding her bike each hour and she wants to burn more than 590 calories riding her bike at the same rate, the inequality that will represent the number of hours that she will use will be:
x > 590/236
x > 2.5
She must ride the bike for more than 2 1/2 hours to burn more than 590 calories.
Answer:
D. alternate exterior angles
Step-by-step explanation:
Neither of the angles is between parallel lines a and b, so they are "exterior." They are on opposite sides of transversal c, so are "alternate".
∠2 and ∠7 are <em>alternate exterior</em> angles.
The zeros of a quadratic equation are equal to the x-intercepts of its graph. In other words, you must find the x-value that causes the expression to equal zero. Start by adding 4 to both sides of the equation:
X² - 5x + 4 = 0
Factor the equation:
(x - 1)(x - 4) = 0
Now calculate each piece separately, starting with the first one:
x - 1 = 0
Add 1 to both sides of the equation:
x = 1
We have proven that x = 1. Now calculate the second piece:
x - 4 = 0
Add 4 to both sides of the equation:
x = 4
We have proven that x = 4. Consequently, we have proven that (x = 1) and (x = 4) are the two zeros of this quadratic equation.
I hope this helps!
