Answer:
3+3 is 6.
Have a great day and stay safe! :) :D :3
Answer:
7
Step-by-step explanation:
First expand 2/3 (9x-6) = 4 (x+2)+ 2 By doing 2/3 (9x - 6)/3
Which gives you 2/3 (9x - 6)
Then you factor it 2/3 (9x - 6) 6 (3x - 2) get 6 (3x - 2) / 3
then you divide 6/3 with 2
Getting 2 (3x - 2)
The use the distributive law
2 x 3x - 2 x 2
simplify the equation
6x - 4
expand 4 (x +2) + 2: 4x + 10
which then equals 6x-4=4x+10
add 4 to both sides
6x-4+4=4x+10+4
simplify
6x=4x+14
subtract 4x from both sides
simplify again
2x=14
divide both sides by 2
2x/2 = 14/2
simplify one last time and get the answer
x=7
Point B on the ground is 5 cm from point E at the entrance to Ollie's house.
Ollie is at a distance of 2.45 m from the entrance to his house when he first activates the sensor.
The complete question is as follows:
Ollie has installed security lights on the side of his house that is activated by a sensor. The sensor is located at point C directly above point D. The area covered by the sensor is shown by the shaded region enclosed by triangle ABC. The distance from A to B is 4.5 m, and the distance from B to C is 6m. Angle ACB is 15°.
The objective of this information is:
- To find angle CAB and;
- Find the distance Ollie is from the entrance to his house when he first activates the sensor.
The diagrammatic representation of the information given is shown in the image attached below.
Using cosine rule to determine angle CAB, we have:

Here:





∠CAB = Sin⁻¹ (0.3451)
∠CAB = 20.19⁰
From the diagram attached;
- assuming we have an imaginary position at the base of Ollie Standing point called point F when Ollie first activates the sensor;
Then, we can say:
∠CBD = ∠GBF
∠GBF = (CAB + ACB)
(because the exterior angles of a Δ is the sum of the two interior angles.
∠GBF = 15° + 20.19°
∠GBF = 35.19°
Using the trigonometric function for the tangent of an angle.




BF = 2.55 m
Finally, the distance of Ollie║FE║ from the entrance of his bouse is:
= 5 - 2.55 m
= 2.45 m
Therefore, we can conclude that Ollie is at a distance of 2.45 m from the entrance to his house when he first activates the sensor.
Learn more about exterior angles here:
2^2 = 4
just think 2 written out TWO times (hence the SECOND power).
Answer:
The answer is
D. V= 19200- 12t
Step-by-step explanation:
in this problem, we already know that the pool contains 19200 gallons of water
and the pool is draining at 12 gallons per minutes, hence the volume is decreasing at that rate
Therefore for t minutes it will decrease by 12t
hence the volume after t minutes will be
V= 19200-12t