Answer:
3/2 = 6/4
Step-by-step explanation:
Given that ∆BDE ~ ∆BAC by dilation of a scale factor of 2, it means therefore that:
BA/BD = BC/BE = AC/DE = 2
BD = 2
BA = 2*BD = 2*2 = 4
BE = 3
BC = 2*BE = 2*3 = 6
DE = 3.61
AC = 2*DE = 2*3.61 = 7.22
Also:
<D = <A,
<E = <C
=>Find tan <D, and tan <A using trigonometric function to determine which proportion gives us tan<D = tan<A
Tan<D = opposite/adjacent
Tan<D = BE/BD
Tan<D = 3/2
Tan<A = opposite/adjacent
Tan<A = BC/BA
Tan<A = 6/4 = 3/2
<em>Therefore, the proportion that proves that tan<D = tan<A is:</em>
<em>BE/BD = BC/BA = 3/2 = 6/4</em>
Answer:
127.3 ft
Step-by-step explanation:
A baseball diamond is constructed in a square shape.
The sides are 90 ft each
If a catcher throws a baseball to the shortstop who is half-way between second and third bases, the distance between the third base and the short stop = 1/2(90)
= 45 ft
length of the throw is found using Pythagoras theorem.
Hypothenus ^2 = opposite ^2 + adjacent ^2
= 90^2 + 45^2
Hypothenus = √8100 + 2025
=√10125
= 100.62 ft (approximately)
Multiple primary malignant neoplasms (MPMN) is defined as the presence of two or more malignant tumors of different histological entities in an individual. MPMN are a common occurrence. The incidence among all malignancies ranges from 0.4 to 21% from different studies and countries.
The answer is
6X - 4 = 12 + 2X
675/1000 = 0.675 L (Answer)
In 675 mL x 1L/1000 mL = 0.675 L
