Answer:
= 8sqrt2
Step-by-step explanation:
Area of a trapezium is given by the formula;
1/2(a+b)h
;
Where a and b are the parallel sides and h is the perpendicular height.
a = 3 cm, b= 5 cm
To get; h, we use the Pythagoras theorem;
h² = 3² - 1²
h² = 8
h = √8
= √4√2
= 2√2
Thus;
Area = 1/2(3 +5) 2√2
= 1/2 ×8 × 2√2
<u> = 8√2 cm² or 8sqrt2 cm²</u>
Answer:
Yes
Step-by-step explanation:
Probability =
(number of possible ways to succeed)
divided by
(total number of possible outcomes) .
Number of ways to succeed = 2 (pick the 'A' or the 'L')
Total number of possible outcomes = 5 (the cards on the table) .
Probability of success = 2/5 = 40% .
First off, see how much 8700 as principal, yields at 3% APR
that is
it will yield some amount
subtract that amount from 393
the difference is how much the yield will be on the 6% investment
so
Answer:
angle: 44°
complementary angle: 46°
Step-by-step explanation:
Complementary angles have a sum of 90°. We can use this relation and the one given to write equations for the angles of interest.
__
<h3>setup</h3>
Let 'a' and 'c' represent the angle and its complement, respectively.
a = c -2 . . . . . an angle is 2° less than its complement
a +c = 90 . . . . complementary angles total 90°
<h3>solution</h3>
Using the first equation to substitute for 'a' in the second, we have ...
(c -2) +c = 90
2c = 92 . . . . . . add 2, collect terms
c = 46 . . . . . . . divide by 2
a = 46 -2 = 44 . . . . find 'a' using the first equation
The angle is 44°; its complement is 46°.
