Answer:
Step-by-step explanation:
Given that minimum is 8 and maximum equals 82
Range = 
No of classes =6
Class width = 76/6 ~13
But not given whether variable is discrete or continuous.
If discrete, we have classes as
8-20, 21-33, 34-46, 47-59, 60-72, 73-85
If continuous, we have classes as
8 to <21
21 to <34
and ... ending 73-<86
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.
Adjacent Angles<span> are </span>two angles<span> that share a common vertex, a common side, and no common interior points. (They share a vertex and side, but </span>do<span> not overlap.) A </span>Linear Pair<span> is </span>two<span> adjacent</span>angles<span> whose non-common sides </span>form<span> opposite rays. ... ∠1 and ∠3 are not </span>vertical angles<span> (they are a </span>linear pair<span>).</span>
6 √5
7 π
Both continue on forever and will never have an exact answer - therefore, they're irrational.
Answer:
Option A) 32c
Step-by-step explanation:
we know that
To find the unit cost, divide the total cost of twelve pounds by twelve pounds
so
Remember that
1$=100 cents
Convert dollars to cents
therefore
The cost of one pound of nails cost 32 cents
