Answer:
b=4.9
C. is the correct option.
Step-by-step explanation:
In triangle TGN,
Let <RTG be x
cosx= b/h
or, cosx = 2/a
Again,
In triangle TRG,
cosx = b/h
(for bigger right angled triangle)
cosx = a/(4+2)
cosx = a/6
Now
cosx = 2/a = a/6
or, 2/a = a/6
or, 12 = a²
so, a² = 12
Now,
For TRG,
h² = p²+b²
or, 6² = b² + a²(a²=12)
or, 6² = b² + 12
or, 36 = b² + 12
or, 36 -12 = b²
or, b² = 24
or, b = square root 24
so, b = 4.8989
so, b = 4.9
Answer:A,B,E
Step-by-step explanation:
Answer:
x = 1\2 and y = 0
Step-by-step explanation:
8x + 3y = 4 * 5\3
14x - 5y = 7 * 1
40\3x + 5y = 20\3 -------- 1
14x - 5y = 7 ----------------- 2
add equation 1 and 2
82\3x = 41\3
x = <u>4</u><u>1</u><u> </u> <u>3</u>
3 * 82
x = 1\2
subtitute 1\2 for x in equation 2
14\2 - 5y = 7
7 - 5y = 7
5y = 7 - 7
y = 0\5
y = 0
thus x = 1\2 and y = 0
Answer:
a .8
b .03
c .125
d 125.0
Step-by-step explanation:
A, D and E are correct
given ( x - 4 ) is a factor then x = 4 is a root
the remainder on division by (x - 4 ) = 0 as indicated by the 0 on the right side of the quotient
(x - 4 ) is a factor of 3x² - 13x + 4 → A
the number 4is a root of f(x) = 3x² - 13x + 4 → D ( explained above )
thus 3x² - 13x + 4 ÷ (x - 4 ) = 3x - 1 → E
the quotient line 3 - 1 0
3 and - 1 are the coefficients of the linear quotient and 0 is the remainder