Answer:
the estimate of 145.5÷21 is 6.9 or 6. 93
Step-by-step explanation:
Answer:
Perimeter of Square Q = 49
Step-by-step explanation:
given:
sides P:Q = 2:7
side length of P = 3.5.
First, determine length of side Q by using the ratio
The perimeter is 4 times the length of the side
So, Perimeter of square Q = 4 *(7*3.5)/2 = 49
To factor x²-2x-4, you are looking to answer three questions.
1) What pair of numbers multiplies to 4?
2) What pair of numbers multiplies to 1?
3) Do these pairs when multiplied together, add/subtract to the middle term?
To answer (1), our pairs are 2 and 2, 4 and 1. Since there's a negative with 4 at the end (from question one), the signs will be opposite.
To answer (2), only pair multiplies to 1 - 1 and 1. Let's try both pairs from 1.
(x-4)(x+1) The middle term here is -3x. Nope.
(x-1)(x+4). The middle term here is 3x. Nope.
(x-2)(x+2) The middle term is 0x (or no middle term). Nope.
So x²-2x-4 does not factor.
Answer:
$175
Step-by-step explanation:
let the original price be x
if 1/5 is off the price then the sells is at 4/5
4/5 of x = 140
thus,
4/5* x=140
4x = 140*5
x=700/4
x=$175
The sum of angles of a triangle is 180°, so m∠K = 180° -45° -30° = 105°.
The Law of Sines tells you
... FL/sin(∠K) = FK/sin(∠L)
Solving for FL, we get
... FL = FK·sin(∠K)/sin(∠L)
... FL = a·sin(105°)/sin(30°) = a·sin(105°)/(1/2)
... FL = 2a·sin(105°) ≈ 1.93185a
