Answer:
mRT = 4√13 ≈ 14.42
mST = 10√2 ≈ 14.14
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Since we have right triangles, in order to find the missing side, we use Pythagorean Theorem:
mTR:
12² + 8² = c²
144 + 64 = c²
c² = 208
c = √208 = 4√13
mST:
15² = 5² + b²
225 - 25 = b²
b² = 200
b = √200 = 10√2
To get your decimals, simply evaluate the square roots:
4√13 = 14.4222
10√2 = 14.1421
Answer:
Option C. The robin flies fastest because its rate is 15 m/s
Step-by-step explanation:
Let
x -----> the time in seconds
y ----> the distance in meters
The speed is equal to divide the distance by the time
In this problem, the slope or unit rate of the linear equation is the same that the speed
<em>Robin's Flight</em>
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to
take two points from the table
(2,30) and (3,45)
substitute in the formula

<em>Cardinal's Flight</em>


<em>Blue Jay's Flight</em>
take two points from the graph
(0,0) and (2,20)
substitute in the formula

Compare
The robin flies fastest because its rate is 15 m/s
Answer:
Believe on what you heart says
Answer:
Step-by-step explanation:
Matured amount of $200000 at 4% compounded quarterly after 3 years
= $200000 x ( FVIF , 1 , 12 )
= $200000 X 1. 1268
= $225360 .
Matured amount of $210000 at 3% compounded semiannually after 2 years
= $210000 x ( FVIF , 1.5 , 4 )
= $210000 X 1. 1268
= $225360 x 1.0614
= $239197
Total amount after maturity
= $225360 + $239197
= $464557
Matured amount of $464557 at 2% compounded annually after 7 years
= $464557 x ( FVIF , 2 , 7 )
= $464557 x 1.1487
= $533636.6
This amount is more than his target amount of 500000.00 So she meets the goal .
Answer:
24 x 77
Step-by-step explanation: