Answer:
The number of marbles of each color that should be present in the bag is;
1 red marble and 2 green marbles
Here, we note that the probability of a battery going dead = 1/3 and the
Therefore if the red marbles represent that a battery dies before 15 hours then the probability of picking the red marble should be 1/3. That is if there is only one red marble in the bag, the probability of picking the red will be 1/3 when there are other 2 green batteries in the bag
That is there should be 1 red marble and 2 green marble in the bag.
Step-by-step explanation:
The slope is 2 because the slope is always next to the x
A) The figure decomposes nicely into 1 rectangle and 2 triangles.
B) AB = 4 units; AE = 5 units.
C) The rectangle whose diagonal is BE has area 4*5 = 20 units^2.
.. The triangle CDE has area (1/2)*7*1 = 7/2 units^2.
.. The triangle BCF has area (1/2)*3*5 = 15/2 units^2.
The total area of the figure is
.. area = rectangle + triangle CDE + triangle BCF
.. = (20 +7/2 +15/2) units^2
.. = 31 units^2
_____
Check:
.. Compare our computed value of area to that listed for poly1 on the left side of the figure.
Y=3ˣ and y=2x+1
one of them is the grouth of the flies and the other is how many the iguana can eat per week (I'm thinking the y=3ˣ is the population growth)
where x=number of weeks and y=number of flies
so he should graph y=3ˣ and y=2x+1 and see the solution wich will be the inersection point of the 2 equations
to graph y=3ˣ, graph the points (0,0) and (1,3) and (2,9) and (5,243) then connect the points in a curve
to graph y=2x+1, graph the points (0,1) and (2,4) then connect the points with a straight line
where they intersect is the week and number of flies
to graph y=2x+1
Answer:
79.1 ft
Step-by-step explanation:
Draw a vertical segment about 3 inches tall. Label the upper endpoint A and the lower endpoint B. That is the cell phone tower. Starting at point B, draw a horizontal segment 1 inch long to the right. Label the right endpoint C. Connect C to A with a segment.
Segment BC is 25 ft long. Segment AB is 75 ft long. Angle B is a right angle.
You are looking for the length of segment AC, the guy wire length.
Triangle ABC is a right triangle with right angle B.
Sides AB and BC are the legs, and side AC is the hypotenuse.
We can use the Pythagorean Theorem:
(leg1)^2 + (leg2)^2 = (hyp)^2
Let one leg be a, the other leg be b, and let the hypotenuse be c.
Then you have
a^2 + b^2 = c^2
We have a = 75 ft
b = 25 ft
We are looking for c, the length of the hypotenuse.
(75 ft)^2 + (25 ft)^2 = c^2
5625 ft^2 + 625 ft^2 = c^2
6250 ft^2 = c^2
c^2 = 6250 ft^2
Take the square root of both sides.
c = 79.0569... ft
Answer: 79.1 ft
