Answer:
216 cubic ft
Step-by-step explanation:
13
144
96
24
64
64
16
216
Answer:
Step-by-step explanation:
A) rational because it’s a fraction
B) rational because it’s a fraction
C) irrational because it’s never ending
Three times the 1st number plus the 2nd number plus twice the 3rd is 5 is the same as 3x+y+2z=5. If three times the 2nd number is subtracted from the sum of the 1st and three times the 3rd number, the result is 2 is just x+3z-3y=2. And if the 3rd number is subtracted from two times the 1st number and three times the 2nd, giving a result of 1 means 2x+3y-z=1. Then you use substition on these equations to get a equation where one variable equals 2 others, like using the first to get y=5-2z-3x and then this can be substituted into the other two to get x+3z-3(5-2z-3x)=2 and 2x+3(5-2z-3x)-z=1 we can then simplify and subtract the equations. After simplification we have 10x+9z=17 and 7z+7x=16 which can be turned into 70x+63z=119 and 70x+70z=160 which can be then subtracted to get that 7z=41 and z=41/7. Now we backtrack to a two variable equation like 7z+7x=16 and plug in to find x. So after plugging in we get 41+7x=16 and 7x=-25 so x=-25/7. Now we choose a 3 variable equation and plug in. So taking y=5-2z-3x we plug in 41/7 for z and -25/7 for x to get y=5-82/7+75/7 and y=5-7/7 and y=4. Therefore x = -25/7 y = 4 and z = 41/7.
<h3><em><u>given</u></em></h3>
<em><u>5m</u></em><em><u> </u></em><em><u>long</u></em><em><u> </u></em><em><u>ladder</u></em><em><u> </u></em><em><u>placed</u></em><em><u> </u></em><em><u>against</u></em><em><u> </u></em><em><u>4.3m</u></em><em><u> </u></em><em><u>up</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>wall</u></em><em><u>.</u></em>
<h3><em><u>to</u></em><em><u> </u></em><em><u>find</u></em><em><u>:</u></em></h3>
<em><u>the</u></em><em><u> </u></em><em><u>angle</u></em><em><u> </u></em><em><u>between</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>ladder</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>ground</u></em><em><u>.</u></em>
<h3><em><u>solution</u></em><em><u>:</u></em></h3>
<em><u>Based on the given conditions, formulate: </u></em>
<em><u>sinx=4.3÷5</u></em>
<em><u>Evaluate the equation/expression</u></em><em><u>:</u></em>
<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>1.0352</u></em><em><u>7</u></em><em><u> </u></em><em><u>or</u></em><em><u> </u></em><em><u>2.10</u></em><em><u>6</u></em><em><u>3</u></em><em><u>2</u></em>
<em><u>x= 1.03527</u></em><em><u>°</u></em>
<em><u>or</u></em><em><u> </u></em><em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>2.10632</u></em><em><u>°</u></em>
Answer:
A) x>8
B) x<4
Step-by-step explanation:
A) 3x+5>29
3x>24
x>8 (It's greater than because the angle opposite is greater than the other angle)
B) 6x-17<7
6x<24
x<4 (It's less than because the angle opposite is smaller than the other angle)
