Triangle AEC & FED are similar:
F & D being the middle of AE & CE, ==> FD IS // AC &
Angle EAC =EFD (CORRESPONDING ANGLE & SAME FOR ECA=EDF,
Hence we can write propriety of similar triangle:
CE/CD = AC/FD (CE = 30 & CD=ED =15 & FD = 17)
Then 30/15 = AC/17 ==> AC=34
Answer:
<h2>64x³ - 432x² + 972x - 729</h2>
Step-by-step explanation:
Write the statement into an expression
<h2>(4x - 9)³</h2><h2 /><h3>Now multiply that out...</h3><h3 /><h3>(4x - 9)²(4x - 9)</h3><h3 /><h3> Foil the first binomial</h3><h3 /><h3> (16x² - 72x + 81)(4x - 9)</h3><h3 /><h3>Multiply the two polynomials together</h3><h3 /><h3> 16x²(4x) - 72x(4x) + 81(4x) + 16x²(-9) - 72x(-9) + 81(-9)</h3><h3 /><h3> 64x³ - 288x² + 324x - 144x² + 648x - 729</h3><h3 /><h3>combine like terms...</h3><h3 /><h3>64x³ - 432x² + 972x - 729</h3>
0.188 because the 5 in 0.1875 rounds up
Given :
The Sugar Sweet Company will choose from two companies to transport its sugar to market.
The first company charges $3995 to rent trucks plus an additional fee of $225.75 for each ton of sugar.
The second company charges $5500 to rent trucks plus an additional fee of $150.50 for each ton of sugar.
To Find :
How, many tons of sugar will cost same in both companies.
Solution :
For company 1 :
P1 = (225.75)x + 3995
For company 2 :
P2 = (150.50)x + 5500
For same cost :
P1 = P2
(225.75)x + 3995 = (150.50)x + 5500
x( 225.75 - 150.50 ) = ( 5500- 3995)
x( 75.25 ) = 1505
x = 20
Therefore, 20 tons of sugar will cost same.
Hence, this is the required solution.
Answer:
Larry spends $22.96 total with the tax
I'm not sure if this is correct of not