Answer:
Ques 16)
We have to simplify the expression:

Ques 17)

Ques 18)
Let the blank space be denoted by the quantity 'x'.

Ques 19)
Let the missing quantity be denoted by 'x'.

Hey there! :D
We will use the properties of similar triangles to figure this out.
We will use two triangles inside the kite, with sides with the value of "x".
Smaller triangle:
Smaller side= 11
Bottom side= x
Bigger triangle:
Smaller side= x
Bottom side= 25

Cross multiply.
25*11= 275
x*x=

Find the square root.
√275= 16.583....
Or 5√11.
I hope this helps!
~kaikers
Answer:
The number of hundreds is more than the number of tens.
Step-by-step explanation:
The sum of 56 tens and 4 ones= 560 + 4 (true)
The number of hundreds is more than the number of tens.
Number of hundreds = 5
Number of tens = 56
5 is not greater than 56.
Alternate exterior angles(AEA).
Given their relationship the angles are congruent.
8x-71=5x+7
3x-71=7
3x=78
X=26
Answer: 46.90mins
Step-by-step explanation:
The given data:
The diameter of the balloon = 55 feet
The rate of increase of the radius of the balloon when inflated = 1.5 feet/min.
Solution:
dr/dt = 1.5 feet per minute = 1.5 ft/min
V = 4/3·π·r³
The maximum volume of the balloon
= 4/3 × 3.14 × 55³
= 696556.67 ft³
When the volume 2/3 the maximum volume
= 2/3 × 696556.67 ft³
= 464371.11 ft³
The radius, r₂ at the point is
= 4/3·π·r₂³
= 464371.11 ft³
r₂³ = 464371.11 ft³ × 3/4
= 348278.33 ft³
348278.333333
r₂ = ∛(348278.33 ft³) ≈ 70.36 ft
The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)
The time for the radius to increase to the
above length
Time taken for the radius to increase the length.
= is 70.369 ft/(1.5 ft/min)
= 46.90 minutes
46.90mins is the time taken to inflate the balloon.