This is exponential decay which can be expressed as:
y=ab^t, y=final value, a=initial value, b=rate, t=time
In this case a=25000, r=(100-20)/100=0.8 so
y=25000(0.8^t), so in 4.5 years...
y=25000(0.8^4.5)
y≈$9158.93 (to nearest cent)
Angle a and b are supplementary angles which means that when added they equal 180.
so we must set our equation equal to 180.
8x+74+2x+56=180
which simplifies to 10x+130=180
then subtract 130 from both sides.
10x=50
x=5
So we plug in 5 to find the measure of b.
2(5)+56=b
10+56=b
66=b
the measure of angle b is 66 degrees
Answer:
8 is the side length of the greater square. 100=x^2+(x-2)^2
Step-by-step explanation:
64+36=100
8 squared plus 6 squared equals 10 squared
8 is 2 more than 6
100=x^2 +y^2
x-y=2
100=x^2+(x-2)^2
oceans, tropical plants, Europe
Step-by-step explanation:
Fossils on continents that are now separated by oceans support the theory of continental drift. Continents closer to the equator have warmer climates, yet fossils of tropical plants have been found on islands near the North Pole. This supports the idea that islands drifted from the equator. Coal fields in Europe match those found in North America, supporting the theory of continental drift.
The theory of continental drift was proposed by Alfred Wegener in the early part of 20th century. He suggested that the continents have once been joined together as a single landmass but have drifted to their current positions today.
- Fresh water fossils of organisms like Mesosaurus was found in parts of South America and Southern Africa. These organisms could not have swim between the oceans since they are localized to freshwater environments.
- Tropical plants have also been found in regions of the north pole.
- Coal fields in north America correlated with those in South America and this provided support to the theory of continental drift by Wegener.
- He also fitted the the world into a giant puzzle to support his claim.
Learn more:
Wegener brainly.com/question/5002949
#learnwithBrainly
Answer:
12.22
Step-by-step explanation:
There are 360° in a full circle
The circumference of a circle is c = 2πr
----------------------------------
The lenght of the arc will be the portion of the circumferece included in the angle
l = (∅/360) * 2πr
plug in the knowns
l = (70/360) * 2π(10)
l ≈ 12.22
