The triangle shown is a right triangle shown by the little square inside of it.
Area of a triangle is 1/2 x height x base
Rotating the shown triangle so the square is at a bottom corner the height is 6 and the base is 6
Area = 1/2 x 6 x 6 = 18 square cm
Answer:
84% or 21/25
Step-by-step explanation:
1 is 8, 2 is 6, 3 is 9, 4 is 11, 5 is 9, 6 is 7. add the values: We get 50.
because landing on 1 is an 8/50 chance, not landing on one is a 42/50 chance, which in turn is 84% or 21/25.
An aritmetic sequence is like this

where a1=first term and d=common difference
geometric is

where a1=first term and r=common ratio
can it be both aritmetic and geometric
hmm, that means that the starting terms should be the same
therfor we need to solve

what values of d and r make all natural numbers of n true?
are there values that make all natural numbers for n true?
when n=1, then d(1-1)=0 and r^(1-1)=1, so already they are not equal
the answer is no, a sequence cannot be both aritmetic and geometric
Answer:
The rate at which the distance between the two cars is increasing is 30 mi/h
Step-by-step explanation:
Given;
speed of the first car, v₁ = 24 mi/h
speed of the second car, v₂ = 18 mi/h
Two hours later, the position of the cars is calculated as;
position of the first car, d₁ = 24 mi/h x 2 h = 48 mi
position of the second car, d₂ = 18 mi/h x 2 h = 36 mi
The displacement of the two car is calculated as;
displacement, d² = 48² + 36²
d² = 3600
d = √3600
d = 60 mi
The rate at which this displacement is changing = (60 mi) / (2h)
= 30 mi/h
Answer:
x = 48°
Step-by-step explanation:
In the given triangle XYZ,
Sides XY and XZ are congruent.
Therefore, both the sides will be equal in measure.
By the definition of isosceles triangle,
"Opposite angles of the equal sides are equal in measure"
m∠Y = m∠Z = x°
m∠X = 84° [Given]
By the triangle sum theorem,
m∠X + m∠Y + m∠Z = 180°
84° + x° + x° = 180°
2x = 180 - 84
x = 48°
Therefore, measure of x = 48° will be the answer.