Step 1: find the area of the base
A=l*w = 8.25*5.5 = 45.375
Step 2: find the perimeter of the base
P=2l+2w = 2(8.25) + 2(5.5) = 16.5 + 11 = 27.5
Step 3: find the surface area of the prism
SA=2A+Ph = 2(45.375) + 27.5(4.5) = 90.75 + 123.75 = 214.5
Hope this helps
The two numbers are -6 and 7
<em><u>Solution:</u></em>
Given that eight times a number plus five times another number is -13
The sum of two numbers is 1
To find: the two numbers
Let the two numbers be "a" and "b"
From given information,
Eight times a number plus five times another number = -13
eight times a number "a" + five times another number "b" = -13
8a + 5b = -13 ---- eqn 1
Also given that sum of two numbers is 1
sum of two numbers = 1
a + b = 1 ---- eqn 2
<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "b"</u></em>
From eqn 2,
a = 1 - b ----- eqn 3
Substitute eqn 3 in eqn 1
8(1 - b) + 5b = -13
8 - 8b + 5b = -13
8 - 3b = -13
-3b = -13 - 8
-3b = -21
<h3>b = 7</h3>
Substitute b = 7 in eqn 3
a = 1 - 7
<h3>a = -6</h3>
Thus the two numbers are -6 and 7
Answer:
a 240
Step-by-step explanation:
Area of rectangle 24 x 8 = 192
Area of triangle 24 x 4 = 96/2 = 48
192 + 48 = 240
9514 1404 393
Answer:
970
Step-by-step explanation:
It turns out that the radical terms cancel, so the result is an integer. You can find the integer value using your calculator. It is ...
(5 +2√6)³ +1/(5 +2√6)³ = 970
_____
The cube of 'a' is ...
(5+2√6)³ = 5³ +3·5²·2√6 +3·5·(2√6)² +(2√6)³
= 125 +3·50√6 +3·120 +48√6
a³ = 485 +198√6
The reciprocal of this is ...
b³ = 1/a³ = 1/(485 +198√6) = (485 -198√6)/(485² -6·198²) = (485 -198√6)/1
b³ = 485 -198√6
Then the sum is ...
a³ +b³ = (485 +198√6) +(485 -198√6) = 970
Answer: then study its easy
Step-by-step explanation: first you open your book and you read over everything that will be on the test. and then u wont fail bih