The answer is 12.92 in, 12 in, and 11.2 in
The area (A) of the triangle is:
A = s * a / 2
s - side
a - altitude
We know:
A = 84 in²
s1 = 13 in
s2 = 14 in
s3 = 15 in
a1 = ?
a2 = ?
a3 = ?
_______
a1 = ?
A = s1 * a1 / 2
84 = 13 * a1 / 2
84 * 2 = 13 * a1
168 = 13 * a1
a1 = 168 / 13
a1 = 12.92 in
_________
a2 = ?
A = s2 * a2 / 2
84 = 14 * a2 / 2
84 * 2 = 14 * a2
168 = 14 * a2
a2 = 168 / 14
a2 = 12 in
_______
a3 = ?
A = s3 * a3 / 2
84 = 15 * a3 / 2
84 * 2 = 15 * a3
168 = 15 * a3
a3 = 168 / 15
a3 = 11.2 in
Answer and Step-by-step explanation:
The answer is attached below
Answer:
y = 2
Step-by-step explanation:
Given
(y + 7) = 3(y - 1)
Multiply both sides by 3 to clear the fraction
y + 7 = 9(y - 1) ← distribute
y + 7 = 9y - 9 ( subtract 9y from both sides )
- 8y + 7 = - 9 ( subtract 7 from both sides )
- 8y = - 16 ( divide both sides by - 8 )
y = 2
Answer: C. 
Step-by-step explanation:
When the coefficient gets larger, the graph will stretch more, getting closer to the y axis.
The solution fo image problem
Volume= height x width x depth
Volume (cube)=side³
a)
Vt=total volume
V₁(1 foot)=(1 foot)³=1 foot³
V₂( x feet)=( x feet)³=x³ feet³
Vt(x)=V₁+V₂=(1+x³) feet³
Solution: Vt(x)=(1+x³)
Vt= total volume of two cubes
b)x³+1=(x+1)(x²-x+1)
1 0 0 1
-1 -1 1 -1
------- ----------------------------
1 -1 1 0
c)
if x=3 feet.
V(3)=1+3³=1+27=28 feet³
Solution: if x=3 feet ⇒V=28 feet³
The solution of your comments
A)
V(a,b)=(2a)³+(3b)³=8a³+27b³
V(a,b)=8a³+27b³
B)
(x³+y³)=(x+y)(x²-xy+y²)
V(a,b)=8a³+27b³=(2a+3b)(4a²-6ab+9b²)
V(a,b)=(2a+3b)(4a²-6ab+9b²)
C)
a=2 foot
b=4 foot
V(2,4)=2³+4³=8+64=72 feet³
