Answer:
125 cm3
Step-by-step explanation:
V = l * w * h
V = 5 * 5 * 5
V = 125 cm3
Answer:
A.) (-1,-6) and (-3,-2)
Step-by-step explanation:
The given line segment has coordinates
(-1,6) and (-3,2)
The mapping for a reflection in the x-axis is
This implies that;
and
The correct choice is A.
Let initial price be = x = 3.24
final price = y = 4.05
Difference = 4.05 - 3.24
= 0.81
Percentage increase = 0.81 / 3.25 × 100
= 25 %
You found CD from the Pythagorean theorem to be ...
... CD = √(5² -2²) = √21
Since triangle ADC ~ triangle ACB, the ratios of corresponding sides are the same:
... AC/AD = AB/AC
... AB = AC²/AD
... AB = 5²/2 = 12.5 . . . . . . . the base of the overall triangle
_____
Then the area (A) is ...
... A = (1/2)bh
... A = (1/2)(12.5)(√21) ≈ 28.64 square units
_____
As you see here, the altitude of a right triangle divides it into three similar triangles. From smallest to largest, they are ...
... ADC ~ CDB ~ ACB
You can figure this using AAA similarity, since the smallest and largest triangles listed above share an acute angle vertex (∠A). That, together with the right angle, means all angles are congruent. After that, then you know ∠ACD ≅ ∠CBD, so you can show the middle sized triangle is similar to the other two.
Based on the calculations that 300 is 40%, 375 is considered 50% or halfway.. in this case, we must multiply 375 by 2 and we will discover how many students were surveyed:
375 x 2 = 750
