Answer:
A(an) <u> altitude </u> of a prism is a perpendicular segment that joins the planes of the bases. (The height h is the length of one.)
Step-by-step explanation:
AN ALTITUDE - An altitude of a triangle is a line segment that passes through a vertex and is perpendicular to (i.e. forms a right angle with) the base line (the side opposite the vertex). The expanded base of the altitude is the line that contains the opposing side. The foot of the altitude is the point where the extended base meets the altitude. The area of a triangle can be calculated using altitudes: one half of the product of an altitude's length and its base's length equals the triangle's area. As a result, the longest altitude is perpendicular to the triangle's shortest side. Through trigonometric functions, the heights are also connected to the triangle's sides.
<u>Hence , the answer is an altitude .</u>
Answer:
x = 0, x = - 3
Step-by-step explanation:
Given
5x² - 7x = 4x² - 10 ← subtract 4x² - 10x from both sides
x² + 3x = 0 ← in standard form
Factor out x from each term
x(x + 3) = 0
Equate each factor to zero and solve for x
x = 0
x + 3 = 0 ⇒ x = - 3
Answer:
Step-by-step explanation:
<u>Use tangent: </u>
tan = opposite / adjacent
- tan x = 1/14
- x = arctan (1/14)
- x = 4°
Answer:
log(2)
Step-by-step explanation:
In order to combine log(10) and log(5), you need to look at the sign that's combining them. In this example, it is a subtraction sign. When two logs are being subtracting from each other, it's the same as dividing the two. You would rewrite it like this:
log(10/5)
You would then solve 10/5, and get 2. You would rewrite the log as:
log(2)