Answer:
A, $1.08
Step-by-step explanation:
1.20 / 90 = 1.08
use a calculator
Answer:
1,3 and 5
Step-by-step explanation:
1) -2(7x + 1) − 5(3x2 + 3x + 2)
= -14x - 2 - 15x^2 - 15x - 10
= -15x^2 - 29x - 12
2) (5x2 − 10x + 8) − (10x2 + 19x + 20)
= 5x^2 - 10x + 8 - 10x^2 - 19x - 20
= -5x^2 -29x - 12
3) (-7x2 − 21x + 13) − (8x2 + 8x + 25)
= -7x^2 - 21x + 13 - 8x^2 - 8x - 25
= -15x^2 - 29x - 12
4) (-19x2 − 4x - 7) + (4x2 + 25x − 5)
= -15x^2 + 21x - 12
5) (-17x2 + 2x − 3) + (2x2 − 31x − 9)
= -15x^2 -29x - 12
6) -2(4x − 15) − 3(5x2 + 7x + 6)
= -8x + 30 - 15x^2 - 21x - 18
= -15x^2 - 29x + 12
Given:
The equation of line is
.
A line is parallel to given equation and passes through the point (-4,-8).
To find:
The equation of parallel line.
Solution:
The equation of a line is

On comparing this equation with
, we get

So, slope of given line is -3.
We know that, slopes of parallel lines are equal. It means, the slope of the parallel line is also -3.
The parallel line passes through (-4,-8) and having slope -3. So, the equation of line is






Therefore, the equation of parallel line is
.
x
(15) sin 30.5 = ------ (15)
15
(15) sin 30.5 = x
Plug this part into a calculator.
7.61 = x
Area of a triangle: 1/2bh
1/2 (7.61)(13)
3.805(13)
49.469
49.47 un² is your final answer since you are supposed to round to the tenths place. I hope this helps.
<u>Area of triangle = (1/2) × Base × Height</u>
Area of bigger triangle = (1/2) × 15 cm × 10 cm
Area of bigger triangle = (1/2) × 150 sq. cm
Area of bigger triangle = 75 sq. cm
Similarly,
Area of smaller triangle = (1/2) × 12 cm × 5 cm
Area of smaller triangle = (1/2) × 60 sq. cm
Area of smaller triangle = 30 sq. cm
Area of shaded region = Area of bigger triangle - Area of smaller triangle
Area of shaded region = 75 sq. cm - 30 sq. cm
Area of shaded region = 45 sq. cm
<u>Answer</u><u> </u><u>:</u>
Area of shaded region in sq. cm = 45