Consider the length of diagonal is 8.5 cm instead of 8.5 m because length of perpendiculars are in cm.
Given:
Length of the diagonal of a quadrilateral = 8.5 cm
Lengths of the perpendiculars dropped on it from the remaining opposite vertices are 3.5 cm and 4.5 cm.
To find:
The area of the quadrilateral.
Solution:
Diagonal divides the quadrilateral in 2 triangles. If diagonal is the base of both triangles then the lengths of the perpendiculars dropped on it from the remaining opposite vertices are heights of those triangles.
According to the question,
Triangle 1 : Base = 8.5 cm and Height = 3.5 cm
Triangle 2 : Base = 8.5 cm and Height = 4.5 cm
Area of a triangle is
Using this formula, we get
and
Now, area of the quadrilateral is
Therefore, the area of the quadrilateral is 34 cm².
Answer:
Is an estimate of the average grams of salt used in 2012
Step-by-step explanation:
Let
x ---> the number of years since 2012
f(x) ---> is the total amount of salt ingested in grams
we have
This is a linear equation in slope intercept form
where
The slope is equal to
The y-intercept or initial value is equal to
The y-intercept is the value of the function f(x) when the value of x is equal to zero
In this context, the y-intercept is the average amount of grams of salt ingested in the year 2012
The exact value of the average amount of grams of salt ingested in the year 2012 is 3,554 grams (see the data in the table)
Compare the exact value with the y-intercept
therefore
3,548 grams Is an estimate of the average grams of salt used in 2012
First we can subtract the sales tax so we are just working with what's left: $17 - $0.92 = $16.08. Then we multiply the price of the sandwiches by 2 for the number Corey bought: 5.25 x 2 = $10.50. Then subtract that amount from what you have left: $16.08 - 10.50 = 5.58. Then, take that amount and divide it by three drinks: $5.58 / 3(drinks) = $1.86 per drink. I don't see the table so I hope this answers the question well enough!:)
Answer:
Step-by-step explanation:100,60,36
hello :
the common ratio in the sequence:100,60,36 ( geometric sequence )
is : r = 60/36 = 36/100 = 0.6 the first term is : A1= 100
the n-ieme term is : An= A1× r ^(n-1)
An = 100× (0.6) ^(n-1)
the 6th term is : A6 = 100×(0.6)^5
The choices
A, D, and E, are geometric series
