Theorem of cosine:
a²=b²+c²-2bc(cos α) ⇒cos α=-(a²-b²-c²) / 2bc
In this case:
a=15 cm
b=10 cm
c=5 cm
cos α=-(15²-10²-5²) / 2*10*5
cos α=-100 / 100
cos α=-1
A=arc cos -1=180º This is impossible, because:
A+B+C=180º; then B=C=0º This is impossible for make a triangle (B>0 and C>0 if we want to make a triangle).
Therefore: it is not possible can make a triangle with side lengths of 5 cm, 10 cm and 15 cm.
Each shelf holds 8 trophies (2X4=8). 3 shelves times 8 trophies will equal a total of 24 trophies.
Answer:
statement is false
Step-by-step explanation:
given data
men age = 4 year old
relation between = watching television and blood pressure
solution
we can say that this statement is wrong
because here causality it have never implied by correlation between these two watching television time period and the blood pressure as that by watching more time television that not causes high blood pressure
so that statement is false
The inverse of
is
. (This eliminates B and D)
translates to "if
, then
". This means the answer must be A.
Answer:
(f⋅g)(x)=8x^2−2x−15
Step-by-step explanation:
To find the expression (f*g)(x), multiply f(x) into g(x) using the distribution property.
(f*g)(x) = (2x - 3)(4x + 5) = 8x² - 12x + 10x - 15 = 8x² - 2x - 15
