Answer:
Option a 26 inches square
Step-by-step explanation:
Given in the picture is a triangle with 3 sides as 10.8 inches, 5 inches and base =10+3 = 13 inches
The altitude for base 13 inches is shown as 4 inches.
We know that for any triangle area
=1/2 * base * height
Here base = 13 and height = 4
Hence area = 1/2 (13)(4) = 26 inches square
Answer is option a
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This can be done in another way also
There are two triangles one with base 10 inches and height 3 inches and another with base 3 inches and height 4 inches
Area of combined figure = sum of area of two triangles
= 1/2 (10)(4) +1/2(3)(4) =
20+6
=26 square inches
Answer:
86
X.06
_____
516
+ 0000
_________
05.16
Step-by-step explanation:
Answer:
(5,2,2)
Step-by-step explanation:
-3x+4y+2z = -3
2x-4y-z=0
y = 3x-13
Multiply the second equation by 2
2*(2x-4y-z)=0*2
4x -8y -2z =0
Add this to the first equation to eliminate z
-3x+4y+2z = -3
4x -8y -2z =0
-------------------------
x -4y = -3
Take the third equation and substitute it in for y
x - 4(3x-13) = -3
Distribute the 4
x - 12x +52 = -3
Combine like terms
-11x +52 = -3
Subtract 52 from each side
-11x +52-52 = -3-52
-11x = -55
Divide by -11
-11x/-11 = -55/-11
x=5
Now we can solve for y
y =3x-13
y =3*5 -13
y = 15-13
y=2
Now we need to find z
2x-4y-z=0
2(5) -4(2) -z=0
10-8 -z=0
2-z=0
Add z to each side
2-z+z= 0+z
2=z
x=5, y=2, z=2
(5,2,2)
Answer:
$14,277.80
Step-by-step explanation:
The standard formula for compound interest is given as;
A = P(1+r/n)^(nt) .....1
Where;
A = final amount/value
P = initial amount/value (principal)
r = rate yearly
n = number of times compounded yearly.
t = time of investment in years
For this case;
P = $7,400
t = 8 years
n = 4 (quarterly)
r = 9.5% = 0.095
Using equation 1.
A = $7,400(1+0.095/4)^(4×7)
A = $7,400(1.02375)^(28)
A = $7,400(1.929432606035)
A = $14,277.80
final amount/value after 8 years A =$14,277.80
Answer:
1
Step-by-step explanation:
√12
√10
√5
divide all by 6
