Answer:
- TU = UV = VW = WT = 8
- WX = UX = 5
- XV = XT = √39
Step-by-step explanation:
At first we should know the following about the rhombus
1) All sides are congruent
2) The diagonals are perpendicular and bisects each other.
Given UV = 8 and WX = 5
So, according to (1)
TU = UV = VW = WT = 8
And according to (2)
WX = UX = 5
And ΔWXV is a right triangle at ∠x
So, XV² = WV² - WX² = 8² - 5² = 64 - 25 = 39
∴XV = √39
So, XV = XT = √39
So, the missing measure of a rhombus are as following:
- TU = UV = VW = WT = 8
- WX = UX = 5
- XV = XT = √39
Answer:
x + 4 = 47
x = 43
Step-by-step explanation:
i minus 4 from 47 to get x by its self and x = 43 do he was 43 inches last year
Answer:
The length in centimeters is (24-x) centimeters
Step-by-step explanation:
Mathematically, we are told that the equation linking the length, width and perimeter is as follows;
2(length) + 2(width) = 48
But in this case, we are told that the width is x centimeters
2(length) + 2(x) = 48
2(length) = 48-2x
length = (48-2x)/2
length = 24 - x
Answer:
1.66
Step-by-step explanation:
Calculation to find the standard deviation for the random variable X of the number of students who work full time in samples of size
Using this formula
Standard deviation(X)=√np(1−p)
Where,
n represent the number of students=16
p represent the percentage of all students who work full time=22
Let plug in the formula
Standard deviation(X)=√16(0.22)(1−0.22)
Standard deviation(X)=√(3.52)(0.78)
Standard deviation(X)=√2.7456
Standard deviation(X)=1.656
Standard deviation(X)=1.66 (Approximately)
Therefore the standard deviation for the number of students who work full time in samples of size 16 will be 1.66
I hope this helps. X is equal to 4 and -9
