<span>First find the area of two sides (Length*Height)*2 sides, 60. Then find the area of adjacent sides (Width*Height)*2 sides, 43.2. And then find the area of ends (Length*Width)*2 ends, 72. Lastly add the three areas together to find the surface area, 175.2.</span>
Answer:
James is incorrect as Alisha runs further than James each week.
Answer:
The X is equal to 1.75
Step-by-step explanation:
3.5X2.25=7.875
14/7.875=1.75
Answer:
The two column proof can be presented as follows;
Statement 
Reason
1. RUST is a rectangle Given
2. RU = ST ; UT = RS Definition of a rectangle
3. ∠STU and ∠SRU are right angles Definition of a rectangle
4. ΔURS ≅ ΔSTU By SAS rule of congruency
5. ∠USR = ∠SUT By CPCTC
Step-by-step explanation:
Given that the side RU, the angle ∠SRU and the side RS of triangle ΔURS are congruent to the side ST the angle ∠STU and the side UT of triangle ΔSTU, then ΔURS is congruent to ΔSTU, by the Side-Angle-Side (SAS) rule of congruency
Therefore, we have that ∠USR ≅ ∠SUT and therefore, it can be shown that ∠USR = ∠SUT using the Congruent Parts of Congruent Triangle are Congruent (CPCTC) postulate.
Answer:
x = –7, x = 2, or x = 4 are factors of f(x).
Step-by-step explanation:
Given : f(x) = 5x³ +5x²-170x +280 and x + 7 is one factor .
To find : What are all the roots of the function.
Solution : f(x) = 5x³ +5x²-170x +280 .
We have given that x + 7 is factor that mean x = -7 is factor of f(x )
When we divide f(x) by x +7 we get
5x² -30x +40 =0
Taking common 5 from equation
5( x² -6x +8) =0
On dividing by 5 both sides
x² -6x +8 = 0
On factoring
x² -2x -4x +8 = 0.
Taking common x from first two terms and -4 from last two terms
x ( x -2) -4 (x -2) = 0
On grouping
(x-2) (x-4) = 0
x -2 =0
x =2
x-4 =0
x = 4
Therefore, x = –7, x = 2, or x = 4 are factors of f(x).
