Answer: 5/6
Change 1/2 into 3/6 and 1/3 into 2/6 and add them together.
From the diagram, ΔRST, ΔRUS and ΔSUT are right triangles. This means that the corresponding legs of the three triangles are proportional, then we can say that the triangles are similar by side-angle-side similarity.
RS/RU=RU/SU
In the figure we can also notice that the acute angles of the corresponding angles are similar, then by angle-angle similarity the triangles are similar.
∠TRS~∠URS~TSU
This implies that: ΔSUT~ΔSRU~ΔRTS
If each board is going to be 47 and 1/2 inches long, and there'll be 24 of them, then their total is just their product.
keep in mind that there are 12 inches in 1 foot.
Answer:
(k + 7) • (k - 6)
Step-by-step explanation:
Final result :
(k + 7) • (k - 6)
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "k2" was replaced by "k^2".
Step by step solution :
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring k2+k-42
The first term is, k2 its coefficient is 1 .
The middle term is, +k its coefficient is 1 .
The last term, "the constant", is -42
Step-1 : Multiply the coefficient of the first term by the constant 1 • -42 = -42
Step-2 : Find two factors of -42 whose sum equals the coefficient of the middle term, which is 1 .
-42 + 1 = -41
-21 + 2 = -19
-14 + 3 = -11
-7 + 6 = -1
-6 + 7 = 1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 7
k2 - 6k + 7k - 42
Step-4 : Add up the first 2 terms, pulling out like factors :
k • (k-6)
Add up the last 2 terms, pulling out common factors :
7 • (k-6)
Step-5 : Add up the four terms of step 4 :
(k+7) • (k-6)
Which is the desired factorization
Final result :
(k + 7) • (k - 6)
Answer:
The flag pole is 28 feet
building is 168 feet
Step-by-step explanation:
building+flagpole= 196 feet
(use algebra)
let the flagpole be a
building will be 6a
<h2>
so 6a+a= 196</h2>
7a= 196 = 28
it means the flag pole is 28feet
28×6 is the building= 168 feet
