You use the formula below...,
Angle theta = cos^-1 [scalar product of the two vectors ÷ multiplication of their moduli]
For example...the angle between
(2i + 3j) and (4i + 5j)
Angle theta = cos^-1 [( 2(4) + 3(5))÷((square root of (2^2 + 3^2))×(square root of (4^2 + 5^2))
Angle theta = cos^-1 [ 23 ÷ ((square root of(13)) × (square root of (41)]
Angle theta = 5°
Answer:
7/3
Step-by-step explanation:
or, 3x/4 - 7/8 = 7/8
or, 3x/4=7/8+7/8
or, 3x/4 = (7+7)/8
or, 3x/4 = 14/8
or, 3x = (14/8)*4
or, 3x=56/8
or, 3x= 7
or, x=7/3
Answer:
F. 6s > 4s +8
Step-by-step explanation:
From a reference point at the beginning of the track, Ward's car will be located 4s+8 feet down the track after s seconds. That is, it starts 8 feet down the track, and increases its distance by 4 feet every second.
From the same reference point, Heskey's car will be located 6s feet down the track after s seconds. Its distance starts from zero and is increasing at the rate of 6 feet every second.
For Heskey's distance to exceed Ward's distance you want ...
6s > 4s +8 . . . . . . matches choice F
Answer:
1. -8x² - 16x - 6 a = -8, b = -16, c = -6
1. 4x² - 1 a = 4, b = 0, c = -1
Step-by-step explanation:
use the 'foil' method:
(4x + 2)(-2x - 3)
F: -8x² O: -12x I: -4x L: -6
-8x² - 16x - 6
(2x + 1)(2x - 1)
F: 4x² O: -2x I: 2x L: -1
4x² - 1
The total area of the garden is 37.1 ft x 15 ft = 556.5 sq. ft. It is safe to assume that the area of each shrub is 15.9 sq. ft. The number of shrubs can be calculated by dividing the total area of the garden by the area of each shrub: 556.5 sq. ft. / 15.9 sq. ft. = 35 shrubs.
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