Answer:
A = 76.8 yd²
Step-by-step explanation:
The area (A) of a regular polygon is calculated as
A = pa ( p is the perimeter and a the apothem )
Here p = 8 × 4 = 32 yd and a = 4.8 yd , then
A = × 32 × 4.8 = 16 × 4.8 = 76.8 yd²
The Surface area of the triangular prism with the net shown below is 106 cm²
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Surface area of the triangular prism = 2(0.5 * 5 * 3) + (7 * 3) + 2(7 * 5) = 106 cm²
The Surface area of the triangular prism with the net shown below is 106 cm²
Find out more on equation at: brainly.com/question/2972832
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2x2-5x-18=0
Two solutions were found :
x = -2
x = 9/2 = 4.500
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(2x2 - 5x) - 18 = 0
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 2x2-5x-18
The first term is, 2x2 its coefficient is 2 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -18
Step-1 : Multiply the coefficient of the first term by the constant 2 • -18 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -5 .
-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
-9 + 4 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 4
2x2 - 9x + 4x - 18
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x-9)
Add up the last 2 terms, pulling out common factors :
2 • (2x-9)
Step-5 : Add up the four terms of step 4 :
(x+2) • (2x-9)
Which is the desired factorization
Equation at the end of step 2 :
(2x - 9) • (x + 2) = 0
Step 3 :
Theory - Roots of a product :
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
I think that when you asked this question, no one answered because there is not enough information. I also got this problem and there is in fact, a table and a graph.
Step-by-step explanation:
for Hector, it only shows a y and x graph and for Geri it shows a table. let´s call the graph the ¨h¨ graph (for Hector) and the table is going to be called the ¨g¨ graph (for Geri)
on the h graph, it shows that y/x = dollars/time for Hector,
on the g table, it shows that Geri is getting paid $25.50 for each 3 hours and it keeps increasing within each input and output.
your y = your dollars
your x = your time
we are looking for slope and we need $15 over hours
15/x
the answer is that Hector earns $6.50 more than Geri