Answer:
D. 1.3
Step-by-step explanation:
Perimeter (square) = 4*side
4 = 4*side
side = 1
We have triangle QVR. QV is a hypotenuse.
If we look at the triangle QTR, QT is a hypotenuse.
QV should be less than QT.
Let's find QT using Pythagorean theorem.
c² = a² + b²
QT² = QR² + RT² = 1² + 1² = 2
QT = √2 ≈ 1.4
QV < QT
QV < 1.4
We have 1.3 and 1 that are less than 1.4, but 1 is a length of a leg of the triangle, so 1 is impossible.
Answer D. 1.3
Answer:
The length of the pencils is 4.1 inches and for the crayons 1.5 inches
Step-by-step explanation:
We can solve by means of a 2x2 system of equations, we have to:
let "x" be the length of the pencils
let "y" be the length of the crayons
4 * x + 3 * y = 20.9
5 * x + 4 * y = 26.5 => x = (26.5 - 4 * y) / 5
Replacing:
4 * (26.5 - 4 * y) / 5 + 3 * y = 20.9
21.2 - 3.2 * y + 3 * y = 20.9
-0.2 * y = 20.9 - 21.2
y = -0.3 / -0.2
y = 1.5
now for x:
x = (26.5 - 4 * 1.5) / 5
x = 4.1
This means that the length of the pencils is 4.1 inches and for the crayons 1.5 inches
Answer:
8 chickens
Step-by-step explanation:
Firstly, we need to know the number of eggs produced by a single chicken in 24 hours.
Since 2 chickens produce 6 eggs in 24hours, this means 1 chicken will produce 3 eggs in 24 hours.
Now, we need 24 eggs to be produced. Since the time is the same 24hours, meaning time is constant, the number of chickens required to produce 24 eggs will be 24/3 = 8 chickens
Hence, we can say that 8 chickens will produce 24eggs in 24 hours
Answer:
1.068.
Step-by-step explanation:
Use the identity
sec^2 O = 1 + tan^2 O
= 1 + (3/8)^2
= 1 9/64
= 73/64
so sec O = √73/8
= 1 .068.
