Hello,
so all you have to do is match the abbreviations to the triangles. The abbreviations stand for what is the SAME in both triangles, denoted by similar markings on equal sides and angles.
Abbreviations:
SSS = Side-Side-Side
SAS = Side-Angle-Side
ASA = Angle-Side-Angle
AAS = Angle-Angle-Side
HL = Hypotenuse-Leg
* Note - the angle side angle must go around the triangle in that order. ASA has the side BETWEEN the congruent angles.. SSA does NOT work.
(9.) ASA
(10.) AAS
(11.) SSS
(12.) No way to tell if congruent. (only 3 angles no side)
(13.) ASA
(14.) SAS
(15.) HL
Acceleration is simplified by assuming it is the constant -g
a=-g we integrate this with respect to time to get v...
v=-gt+C where C is the initial velocity in this case 14ft/s so
v=-gt+14 integrate again to get the height function
h=(-gt^2)/2 +14t +C we are not given an initial height so C is 0
h(t)=14t-gt^2/2 letting g=32 and neatening up a bit...
h(t)=14t-16t^2
1. You have that:
- Each gallon of paint covers 400 ft²<span>.
- One side of a wall must be painted and its dimensions are :is 8 meters tall and 40 meters long.
1 ft=0.3048 m
1 ft</span>²=(0.3048 m)²=0.09290 m²
2. Each gallon of paint covers 400 ft<span>², then:
</span>
400 ft²x<span>0.09290=37.16 m</span>²
3. The area of one side of the wall is:
A=8 mx40 m
A=320 m²
4. Therefore, you have:
1 gallon-----37.16 m²
x-----320 m²
x=320x1/37.16
x=8.61 gallons
x≈9 gallons
The answer is: 9 gallons