Answer:
49
Step-by-step explanation:
∆ABC~ ∆XYZ
AB= 11 that is half of XY = 22
therefore XZ/2 = AC (base) = 32/2 = 16
and YZ /2 = BC(hypotenuse) = 44/2 = 22
(a= 11, b= 16, c= 22)
perimeter of a triangle
P = a+b+c
P= 11+16+22= 49
Answer: the increase each year is 423 tv sets
Step-by-step explanation:
The formula for determining the sum of n terms of an arithmetic sequence is expressed as
Sn = n/2[2a + (n - 1)d]
Where
n represents the number of terms in the arithmetic sequence.
d represents the common difference of the terms in the arithmetic sequence.
a represents the first term of the arithmetic sequence.
From the information given,
n = 10 years
a = 1000
S10 = 29035
We want to determine d which is the amount by which the production increased each year. Therefore, the sum of the first 10 years would be
29035 = 10/2[2 × 1000 + (10 - 1)d]
29035 = 5[2000 + 9d]
29035/5 = [2000 + 9d]
9d = 5807 - 2000 = 3807
d = 3807/9 = 423
Answer:
B) 25.1 units
Step-by-step explanation:
The perimeter is the sum of the lengths of the sides of the triangle. The length of the side BC that is vertical can be found by finding the difference of y-coordinates:
BC = 5 -(-2) = 7
The lengths of the other two sides can be found using the given distance formula. Fill in the coordinate values and do the arithmetic.
AB = √((4-(-4))^2 +(5-(-1))^2) = √(8^2 +6^2) = √(64+36)
AB = √100 = 10
__
AC = √((4-(-4))^2 +(-2-(-1))^2) = √(8^2 +(-1)^2) = √(64 +1)
AC = √65 ≈ 8.06
__
So, the perimeter is ...
P = AB +BC +AC
P = 10 + 7 + 8.06 = 25.06 ≈ 25.1 . . . . matches choice B
The answer is A thanks for asking
Answer:
52x < $211
Step-by-step explanation:
If Roland uses $289 to purchase the laptop from the $500 that was given to him then he would be left with
500 - 289 = $211
With this he can purchase video games. Since each video game costs the same price of $52 then we can use the variable x to represent the number of games he can buy with the following inequality...
52x < $211
