Answer:
1st one: 16
2nd one: 16
3rd one: 64
4th one: 27
5th one: 1000
Step-by-step explanation:
Have a great day
Answer:
9. -4x+19y-7
10. 7x+20
Step-by-step explanation:
9. To simplify this expression, simply combine like terms. Add all of the terms with the x variable together, then the terms with the y variable, then the constant terms. I will show this step by step, but usually you do not have to show this work. The order of the terms does not matter.
x variable terms: (4x-8x)+7y-2+6y+6y-5= -4x+7y-2+6y+6y-5
y variable terms: (7y+6y+6y)-4x-2-5=19y-4x-2-5
constant terms: (-2-5)-4x+19y=-4x+19y-7
10. To simplify this expression, expand all terms and then combine like terms. The first term can be expanded by multiplying each term in the parentheses by 2.
Expand terms: 2(5+3x)+(x+10)= 10+6x+x+10
Now, you can combine like terms as done on the last problem. Note that I got rid of the parentheses in the second term, as they did not matter (since there was no term in front of them).
x variable terms: (6x+x)+10+10=7x+10+10
constant terms: (10+10)+7x=7x+20
Answer:
50
Step-by-step explanation:
First things first, use PEMDAS.
Parenthesis is first.
(9+8) is in parenthesis. 9+8 is obviously 17.
The equation now looks like this:
6 x 14 - 17 x 2
There is no exponents, but there is multiplication. 6 x 14 is 84 and 17 x 2 is 34. They both are multiplication equations.
The equation now looks like this:
84 - 34
84-34 is 50. 50 is your answer.
3/4 of 3600..." of " means multiply
3/4 * 3600 =
10800/4 =
2700 <==
we know that
if ABC is an isosceles right triangle
then
side AC=side BC
angle A=angle B=45 degrees
cos B=adjacent side angle B/hypotenuse
adjacent side angle B=BC
hypotenuse=AB------> 18 ft
angle B=45 degrees
cos 45°=(√2)/2
so
cos 45°=BC/AB-------> solve for BC
BC=AB*cos 45-------> BC=18*(√2)/2------> BC=9√2 ft
AC=BC--------> AC=9√2 ft
the answer part 1) is
the exact lengths of the two sides, AC and BC is
AC=9√2 ft
BC=9√2 ft
Part b) Find the Area of triangle ABC
Area=b*h/2-------> AC*BC/2-----> (9√2)*(9√2)/2--------> 81 ft²
the answer part b) is
the area of triangle ABC is equal to 81 ft²
