Answer:
Step-by-step explanation:
Given
Required
Find n when
Substitute 52 for f(n) in
Remove bracket
Make n the subject
<em>The position is 26</em>
The area of a shape is the amount of space it can occupy.
<em>Laura's design will be light enough</em>
The shape is given as a trapezium (see attachment).
First, calculate the height (h) of the trapezium using the following Pythagoras theorem
Where:
So, we have:
Collect like terms
Take square roots
The area of the shape is then calculated as follows:
The area of the shape is 49 square inches.
<em>Hence, the shape will be light enough (because 49 is less than 80)</em>
Read more about areas at:
brainly.com/question/16418397
For this case, you must use the given expression, taking into account that:
n = number of days.
We have then that for day 21, n = 21.
Substituting we have:
a21 = 100 + (21-1) * 4
a21 = 180
Answer:
she sprints 180 yards on day 21
Answer:
A= 695.3cm²
Step-by-step explanation:
- We khow that the area of anctagon is : A= 2(1+)*a² with a the side
- so A= 2(1+√2)*a² = 695.29= 695.3 cm²
23) x = = -6.666.
24) x = = -1.7142.
25) x = = -7.4.
Step-by-step explanation:
Step 1; For = , we cross multiply the denominators and get,
3 × (x + 4) = 12 × (x + 6),
3x + 12 = 12x + 72.
We take all the x terms to the LHS and keep the constants on the RHS.
3x - 12x = 72 - 12,
-9x = 60, x = = -6.6666.
Step 2; For = , we cross multiply the denominators and get,
-5 × (x + 12) = 9 × (x - 4),
-5x - 60 = 9x - 36.
We take all the x terms to the LHS and keep the constants on the RHS.
-5x - 9x = -36 + 60,
-14x = 24, x = = -1.7142.
Step 3; For = , we cross multiply the denominators and get,
6 × (x - 8) = 11 × (x - 1),
6x - 48 = 11x - 11.
We take all the x terms to the LHS and keep the constants on the RHS.
6x - 11x = -11 + 48,
-5x = 37, x = = -7.4.