Answer:
The instantaneous velocity after eight seconds is 9 m/s
Step-by-step explanation:
Given as :
The ball shot upward with velocity of 15 m/s
The height of the ball after t sec is given as h(t) = 
Now, The instantaneous velocity after 8 sec = 
Or, The instantaneous velocity = 
or, The instantaneous velocity = 
Now at t = 8 sec
The instantaneous velocity = 5 + 4 = 9 m/s
Hence The instantaneous velocity of ball at t = 8 sec , is 9 m/s Answer
We have that
<span>Circle 1: center (8, 5) and radius 6
</span><span>Circle 2: center (−2, 1) and radius 2
we know that
the equation of a circle is
(x-h)</span>²+(y-k)²=r²
for the circle 1---------> (x-8)²+(y-5)²=36
for the circle 2---------> (x+2)²+(y-1)²=4
using a graph tool
see the attached figure
Part A)<span>What transformations can be applied to Circle 1 to prove that the circles are similar?
we know that
r1/r2---------> 6/2------> 3
</span><span>
to prove that the circle 1 and circle 2 are similar, the radius of circle 1 </span>must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down
<span>
the answer part A) is
</span>
the radius of circle 1 must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down
Part B) <span>What scale factor does the dilation from Circle 1 to Circle 2 have?
the answer Part B) is
the scale factor is (3/1)</span>
Answer:
18 minutes
Step-by-step explanation:
Sophie can peel all potatoes in 45 minutes, in 1 minute she can peel:
Simon can peel all potatoes in 30 minutes, in 1 minute he can peel:
Together, in 1 minute they can peel:
- 1/45+1/30= 2/90+3/90= 5/90= 1/18 of all the potatoes
To peel all the potatoes they need:
- 1 ÷ 1/18= 1 × 18= 18 minutes
So it will take them 18 minutes to peel all the potatoes
Answer: 300.3858/ maybe 300.385
Step-by-step explanation: 4 2/7 as decimal= 4.29 x (-18) = -77.22 x -3.89= 300.3858 (3.89 = decimal form of -3 8/9) 300.3858 x 1 = 300.3858
