Answer:
Step-by-step explanation: A
Answer:
t=19188.2 y
Step-by-step explanation:
The exponential decay equation is:
(1)
But, A is 10% of A₀, it means that A=0.10A₀.
If we put it into equation (1), we will have:
(2)
Now, we just need to solve (2) for t.
I hope it helps you!
we know that
1 yard=3 feet
Multiply (89 yards 2 feet) by 14
(89 yards 2 feet)*14=89*14 yards 2*14 feet-------> 1,246 yards 28 feet
convert 28 feet to yards
28 ft=(28/3) yards=9.33 yards
9.33 yards=9 yards+0.33 yards
0.33 yards=1 foot
so
9.33 yards=9 yards+1 foot
substitute
1,246 yards 28 feet=1,246 yards +9 yards+1 foot----->1,255 yards + 1 foot
therefore
<u>the answer is the option</u>
C. 1,255 yards 1 foot
Answer:
m<A = 75 and m<B = 105.
Step-by-step explanation:
To find the two angles, we first take 180 (because supplementary angles are two angles that add up to 180) and we divide it by 2 to get 90. Then we take 30 degrees and divide that by 2 to get 15. You add 15 degrees to measure B and subtract 15 degrees to measure A. So then you get m<A = 90 - 15 = 75 and m<B = 90 + 15 = 105.
<span>Let the height of tree be denoted as AB and the shadow cast by the tree be BE. ABE is the triangle formed the tree, rays and the ground. Let the height of the person be CD and the length of his shadow be DE. CDE is the triangle formed by the person, rays and the ground.
We have two triangles. Both the person and the tree stand vertically over the horizontal ground, therefore they make 90 degrees with the ground. The angle formed at the ground is the same for the both the triangles. Therefore, by AA similarity the two triangles are similar.
We know that if two triangles are similar, then their sides are proportional.
Therefore,
AB/CD =BE/DE
AB/6 = 143/11
AB= (143/11) *6
AB = 78 ft.</span>
