The answer is George washington.
Answer:
2600 into the account earning 1% interest
2400 into the account earning 6% interest
Step-by-step explanation:
let x= account earning 1% interest
y= account earning 6% interest
we can write
x+y=5000 (equation 1)
.01x+.06y=170 (equation 2)
mulitply equation 1 by .01
.01x+.01y=50
subtract this from equation 2
(.01x+.06y)-(.01x+.01y)= 170-50
.05y= 120
y= 2400
Plug in y= 2400 into equation 1
x+2400=5000
x=2600
It looks as if "B" is the right angle so
AC is the hypotenuse
AB and BC are the legs
Answer:
radius: 23 inches
Step-by-step explanation:
Formula: ∅r = arc length
Here the ∅ is 2 rads and arc length is 46 inches.
using the formula:
2*r = 46
r = 23 inches
Answer:
D. 264 in³
Step-by-step explanation:
The missing edge dimension can be found using the Pythagorean theorem. Then the volume can be found using the appropriate formula.
<h3>Edge dimension</h3>
The missing dimension and the two given for the top triangle will satisfy the Pythagorean theorem. If the missing dimension is represented by 'a', then we have ...
a² +8² = 10²
a = √(100 -64) = 6 . . . . inches
<h3>Volume</h3>
The area of the top triangle is ...
A = 1/2bh . . . . where b and h are the base and height dimensions
A = 1/2(6 in)(8 in) = 24 in²
The volume of the triangular prism is ...
A = Bh . . . . . where B is the area of the triangular base, and h is the prism height
A = (24 in²)(11 in) = 264 in³
The volume of the triangular prism shown is 264 in³.
