Anything that is multiplied by a number over 1 will get bigger. any other number such as negatives or fractions/decimals will get smaller. 1.25 and 3 are expansions and -2,3/4, and 1/5 are contractions
Refer to the diagram shown below.
Given:
m∠A = 19°
c = 15
By definition,
sin A = a/c
Therefore
a = c*sin A = 15*sin(19°) = 4.8835
cos A = b/c
Therefore
b = c*cos A = 15*cos(19°) =14.1828
Answer:
The lengths are 4.88, 14.18, and 15.00 (nearest hundredth)
Answer:
option 2
Step-by-step explanation:
The problem can be solved using Pythagoras' identity for a right triangle.
The angle between due East and due North is 90°
The solution here involves using the Cosine rule.
let x be the direct distance between house and office, then
x² = 17² + 21² - 2(17)(21)cos90° → option 2
Note that since cos90° = 0 the equation reduces to
x² = 17² + 21² ← Pythagoras' identity
Sin(α+β)=sin(α)cos(β)+cos(α)sin(β)
sin(α-β)=sin(α)cos(β)-cos(α)sin(β)


Answer:
4x^2 -16
Step-by-step explanation:
(2x + 4)(2x - 4)
FOIL
first:2x*2x = 4x^2
outer: -4 *2x = -8x
inner: 4*2x = 8x
last: -4*4 = -16
Add them together
4x^2 -8x+8x =-16
4x^2 -16