Answer:
128
Step-by-step explanation:
There are 2 lengths, 16 x 2 = 32. 48 - 32 = 16. 16 divded by 2 equals 8. 8 x 16 = 128.
The value of the angle m∠4 is 105 degrees.
<h3>How to find angles in a quadrilateral?</h3>
The sum of angles in a quadrilateral is 360 degrees.
Therefore,
m∠1 + m∠2 + m∠3 + m∠4 = 360°
Hence,
x + x + 10 + x + 20 + x + 30 = 360
4x + 60 = 360
4x = 360 - 60
4x = 300
x = 360 / 4
x = 75
Therefore,
m∠4 = 75 + 30 = 105°
learn more on quadrilaterals here: brainly.com/question/17178852
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Answer:
2.2%
Step-by-step explanation:
Given the following :
Population in year 2000 (A) = 4.2 million
Expected population every 32 years = 2 *A
The growth rate per year =?
The population figure after 32 years = (2 * 4.2 million) = 8.4 million
Using the exponential growth formula :
P(t) = A × (1 + r)^t
(1 + r) = g = Total growth percent
A = Initial population
t = time
P(t) = 8.4 million
8,400,000 = 4,200,000 × g^32
g^32 = (8400000/4200000)
g^32 = 2
Taking the root of 32 on both sides
g = 1.02189714865
g = (1 + r)
1.02189714865 = 1 + r
r = 1.02189714865 - 1
r = 0.02189714865
.rate = 0.02189714865 * 100
= 2.18971486541%
= 2.2% ( nearest tenth)
Answer:
Percy used 77 liters to wash
Step-by-step explanation:
This question can be solved using a rule of three.
Each minute of washing costs 7 liters.
She washed for 11 minutes.
So
1 minute - 7 liters
11 minutes - x liters
x = 7*11 = 77
Percy used 77 liters to wash
Step-by-step explanation:
12y-(-4-8y)
= 12y +4 + 8y. ['-' getting multiplied when brackets open]
= 12y + 8y +4. [ Adding the like terms ]
= <u>20 y + 4 (Ans)</u>
