Answer:
Step-by-step explanation:
We have been given a graph of a rectangle. The area of the shaded section is 63 square units. We are asked to find the value of x.
We can see from our given graph that shaded section forms a trapezoid, so we will use area of trapezoid formula to find the value of x.
, where, a and b represents the parallel sides of trapezoid and h represents height of trapezoid.
Upon substituting our given values in above formula we will get,
Upon dividing both sides of our equation by 3.5 we will get,
Let us subtract 7 from both sides of our equation.
Therefore, the value of x is 11 units.
Answer:
Paasche's Index= 168.63= 169
Step-by-step explanation:
<em><u>Products</u></em>
<em><u>Base-Period Current Period</u></em>
Quantities Mean Shipping Quantities Mean Shipping
(Year 1) Cost per Unit ($) (Year 5) Cost per Unit ($)
A 1,500 10.50 4000 15.90
B 5,000 16.25 3000 33.00
C 6,500 12.20 8000 18.40
D 2,500 20.00 3000 35.50
Paasche's Index= ∑ pn.qn/∑po.qn* 100
Where pn is the price of the current year and qn is the quantity of the current year and po. is the price of the base year and qo. is the quantity of the base year.
Paasche's Index is the percentage ratio of the aggregate of given period prices weighted by the quantities sold or consumed in the given period to the aggregate of the base period prices weighted by the given period quantities.
Multiplying the current year prices with the current year quantities and the base year price with the current year quantities we get.
Product pn.qn po.qn
A 15.90* 4000 10.50* 4000
= 63600 =42000
B 33.00*3000 16.25 * 3000
= 99000 = 48750
C 18.40* 8000 12.20 *8000
=147200 =97600
D 35.50* 3000 20.00*3000
<u> =</u><u>106500 60,000 </u><u> </u>
<u>∑ 416300 248350 </u>
<u />
Paasche's Index= ∑ pn.qn/∑po.qn= <u> </u>416300/ 248350 *100 = 1.676=1.68= 168.63= 169
<u />
Answer: salt
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
In the figure shown, ABC is a right triangle with side lengths a, b, and c, and CD is an altitude to side AB. This altitude divides the triangle into two right triangles ADC and BDC. In these triangles,
So,
1. From the similarity 
you have
2. From the similarity 
you have
Hence, option A is true
Answer:
61.8 square centimeters
Step-by-step explanation:
