Answer:
The interest is $35 so it ends up costing her $70
Step-by-step explanation:
9514 1404 393
Answer:
28 square units
Step-by-step explanation:
The rectangle is 7-0 = 7 units high and 6-2 = 4 units wide. Its area is the product of these dimensions:
A = LW
A = (7)(4) = 28 . . . square units
Answer:
d = 200 miles
t = 1.5 hrs after start
Step-by-step explanation:
Set the origin at car a starting point.
equation for distance to car b
x = 250 - 60t
equation for distance to car a
y = 80t
distance between car a and car b
d = √((250 - 60t)² + (80t)²)
d = √(62500 - 30000t + 3600t² + 6400t²)
d = √(62500 - 30000t + 10000t²)
d = 100√(6.25 - 3t + t²)
setting the derivative to zero
0 = 100t - 150 / √(t² - 3t - 6.25)
The denominator cannot be zero, so the numerator must
0 = 100t - 150
150 = 100t
t = 1.5 hrs
d = √((250 - 60(1.5))² + (80(1.5))²)
d = √(160² + 120²)
d = 200 miles
Answer:
The possible values of <em>S</em><em> </em>are the values between 37 and 49. (Excluding 37 and 49)
Step-by-step explanation:
If the perimeter of the square must be greater than 148 inches but less than 196 inches.
And perimeter of a square = 4<em>s</em>
We intend to find the values of <em>s</em><em> </em>such that:
148 < 4<em>s</em><em> </em>
¹⁴⁸⁄₄ < ⁴<em>ˢ</em>/₄
37 < <em>s</em><em> </em>
Also:
4<em>s</em> < 196
<em>s</em><em> </em>< ¹⁹⁶⁄₄
<em>s</em><em> </em>< 49
Therefore:
37 < <em>s</em><em> </em>< 49.
The possible values of <em>s</em><em> </em>are the values between 37 and 49. (Excluding 37 and 49.)
We have three similar triangles, because each has a right angle and shares an angle. Let's write the angles in order: opposite to short leg, long leg, hypotenuse.
CAB similar to BAD similar to CBD
Or as ratios,
CA:AB:CB = BA:AD:BD = CB:BD:CD
We also know
AC = AD + CD
(AD+CD):AB:CB = BA:AD:BD = CB:BD:CD
(AD+CD)/CB=CB/CD
We have CB=6, AD=5 and seek x=CD.




We reject the negative root and conclude x=4
Answer: 4