The height of the parallelogram is 6.4 m.
<h3>What is a parallelogram?</h3>
A parallelogram is a quadrilateral. Let us recall that a quadrilateral is a four sided figure. It is also important to recall that the opposite sides of a parallelogram are equal.
Let us now try to find the height of the parallelogram;
Given that;
/DE/ = /AC/
10 = /BC/ + /AB/
/AB/ = 10 - /BC/
/AB/ = 10 - 6
/AB/ = 4 cm
Then;
/AE/= /CD/ = 5 cm
Using the Pythagoras theorem;
/EB/^2 = /AE/^2 + /AB/^2
/EB/ = √/AE/^2 + /AB/^2
/EB/ = √(5)^2 + (4)^2
/EB/ = √ 25 + 16
/EB/ = 6.4 m
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Answer:
22.7%
Explanation:
Given that last year stock for company A was $7200
The stock for company B last year was worth $3510
Stock in company A decreased by 24%
This means the new value of stock for company A became;
(100-24)/100 *$7200
76/100*$7200
0.76*7200 =$5472
Stock in company B decreased by 20%
This means the new value of stock for company B became;
(100-20)/100 *$3510
80/100*$3510
0.8*$3510
$2808
Original investors stock value was = $7200+$3510 =$10710
New investors stock value is = $5472+$2808=$8280
Decrease in value of stock = $10710-$8280 =$2430
percentage decrease in stock value = decrease in stock/original value of stock *100%
=2430/10710 *100 =22.689
=22.7%
Answer:
See below
Step-by-step explanation:
The graph is formed from f(x) = |x|.
f(x) = |x| is shaped like a V with the vertex at the origin and the slope of each arm = 1. Then f(x) = |x + 3| will have the same shape but will be moved 3 units to the left so the vertex is at (-3,0). The - 1 ( to give f(x) = |x + 3| - 1) translates the whole graph 1 unit down so the vertex is at the point (-3, -1).
The domain is All Real x and the range = All real values of f(x)
equal or greater than -1.
The degree is 8 ( the value of the highest exponent).
Answer:
d
Step-by-step explanation:
