Try grouping in paires
4x^3 + 28x^2 + 7x + 49
= 4x^2(x + 7) + 7(x + 7) - note that (x + 7) is common to the 2 parts, so
= (4x^2 + 7)(x + 7)
Step 1
find the volume of the square box
volume=area of the base*height
area of the base=10²-----> 100 units²
height=4 units
volume square box=100*4----> 400 units³
step 2
volume rectangular box=2*volume square box
volume rectangular box=2*400------> 800 units³
volume rectangular box=L*W*H
H=5 units
W=10 units
Volume=800 units³
800=L*10*5------> solve for L
L=800/(10*5)------> L=16 units
the answer is
the length of the rectangular box is 16 units
Answer:
A
Step-by-step explanation:
Deixe o valor inicial ser x.
Um aumento de 5% será x + 5/100 (x)
x + 0,05 (x) = x + 0,05x = x (1+ 0,05) = 1,05x
Um aumento de 6% para isso será
1,05x + 6/100 (1,05x)
1,05x + 0,06 (1,05x)
1,05x + 0,063x = 1.113x
Portanto, passamos de x para 1.113x
Isso é e aumento de; (1,113x-x) / x * 100% =
0,113x / x * 100% = 0,113 * 100% = 11,3%
Answer:
The answer is below
Step-by-step explanation:
a) Triangle A is attached in the image below.
The base of triangle A is 3 units and its height is 3 units. The area of a triangle is given as:
Area = (1/2) × base × height
Area of triangle A = (1/2) × base × height = (1/2) × 3 × 3 = 4.5 unit²
Area of the scaled copy = 72 unit²
Ratio of area = Area of the scaled copy / Area of triangle A = 72 unit² / 4.5 unit² = 16
Hence the scaled copy area is 16 times larger than that of triangle A.
b) For the scaled copy:
Area of the scaled copy = (1/2) × base × height = 72 unit²
base × height = 144
Since the base and height are equal
base² = 144
base = 12, also height = 12
Base of scaled copy = 12 = 4 × base of triangle A
Therefore the scale factor used is 4
Depends where is the water? If it was in a lake they could use their hands. But then again to survive they woukd drink from the same cups
