Answer:
∆ABC=∆ADE ............by AA test of similarity
CAB=EAB....................COMMON ANGLE
CBA=EDA....................EACH 90°
AB/AD =CB/ED.........CSST
9/6=3/x
3/2=3/x
x=2 x 3/3
<h2>x=2 </h2>
Answer:
A). 101 inches
B). 110 years
Step-by-step explanation:
Years since planting Circumference Difference
1 3 -
2 5 (5 - 3) = 2
3 7 (7 - 5) = 2
4 9 (9 - 7) = 2
5 11 (11 - 9) = 2
6 13 (13 - 11) = 2
There is a difference of 2 in every successive term of the circumference.
Therefore, the given sequence is an arithmetic sequence.
Explicit formula of an arithmetic sequence is given by,
Here a = first term
n = number of terms
d = common difference
From the given table,
Here = circumference after 'n' years
n = Age of the plant
By this formula,
Circumference of a tree after 50 years,
= 101 inches
Age of tree with the circumference = 221 inches,
221 = 2n + 1
2n = 220
n = 110 years
Answer:
Value of x using quadratic formula (x = -4) and (x = -5)
Step-by-step explanation:
Given:
Equation
x² + 9x + 20 = 0
Find:
Value of x using quadratic formula
Computation:
Quadratic formula = [-b±√b²-4ac] / 2a
Given equation;
x² + 9x + 20 = 0
a = 1 , b = 9 , c = 20
By putting value
[-9±√9²-4(1)(20)] / 2(1)
[-9±√81-80] / 2
[-9±√1] / 2
(-9 + 1) / 2 , (-9 - 1) / 2
-8 / 2 , 10 / 2
-4 , - 5
Value of x using quadratic formula (x = -4) and (x = -5)
Answer:
The first one is 8
The second one is 4
And the third one is 4
Step-by-step explanation:
Answer:
l=14 yards and w=5 yards
Step-by-step explanation:
Let the width be w units, then the length of the rectangle is:
The area of the rectangle is given as 79 square yards.
This implies that:
Expand:
O
We factor to get:
Since we are talking about length, we have width equal 5 yards.
The length is: