Answer:
the answer is A because it is ap
Answer:
- B. Quadrilateral FLAG is a parallelogram because opposite sides are parallel.
Step-by-step explanation:
<em>Refer to attached.</em>
Plot the point and connect in order FLAG.
<u>We see </u>
- FL ║ GA
- GF ║ AL
- FA and GL are not perpendicular
<u>All the above can be confirmed by calculating the slopes:</u>
- m(FL) = (3 - 5)/(6 - 1) = -2/5
- m(GA) = (1 + 1)/(-2-3) = -2/5
- These are same.
- m(GF) = (5 - 1)/(1 + 2) = 4/3
- m(AL) = (3 + 1)/(6 - 3) = 4/3
- These are same
- m(FA) = (-1 - 5)/(3 - 1) = -3
- m(GL) = (3 - 1)/(6 +2) = -1/4
- These are negative but not reciprocal
The quadrilateral is a parallelogram.
Correct choice is B
Answer:
11y-2x= -90
Step-by-step explanation:
for the point (1,-8)
x=1 and y= -8
for the equation,
2x -4y= -11
x= -1/m
m= -1/x
x = -1/ (-11/2 )
m= 2/11
so for the equation,
y-y1= m(x- x1)
y- -8=2/11(x-1)
11(y+8)= 2(x-1)
11y +88= 2x-2
11y-2x= -90
We know that
in the right triangle
<span>sinθ=opposite side/hypotenuse
</span><span>cosθ=adjacent side/hypotenuse
</span><span>tanθ=opposite side/adjacent side
in this problem
opposite side angle </span>θ=8
adjacent side angle <span>θ=15
hypotenuse=17
so
</span>sinθ=8/17
cosθ=15/17
tanθ=8/15
Answer: Aproximately 2,525 balloons
Step-by-step explanation:
1. Find the volume of a balloon with the formula given in the problem, where
is the radius (
), then:

2. Convert the volume from m³ to lliters by multiplying it by 1,000:

3. You know that that 1 liter of helium can lift 1 gram and that Ryan weighs 5 stone and 5 pounds. So you must make the following conversions:
1 g=0.0022 lb
From 5 stones to pounds

4. Then Ryan's weigh is:
5lb+70lb=75lb
5. Then, if 1 liter of helium can lift 0.0022 lb, to lift 75 lb (which is the weight of Ryan) they need:

6. Then, to calculate the aproximated number of balloons they need to make him float (which can call
), you must divide the liters of helium needed to lift the weight of Ryan by the volume of a balloon, then the result is:

≈2,525 balloons.