Answer:
4/7 as a decimal is 0.57142857142857.
Answer:
a = -5
Step-by-step explanation:
15 - a = 20
Move the constant of 15 to the other side by subtracting it.
-a = 5
Divide by -1 to make a positive.
a = -5
Check.
15 - (-5) = 20
15 + 5 = 20
20 = 20
Answer:
The answers are that the x-coordinate is 3, the y-coordinate is 4 and it is in quadrant I
Step-by-step explanation:
To find these answers, start by solving the system. We can do this by multiplying the second equation by 2 and adding them together.
8x + 6y = 48
4x - 6y = -12
-------------------
12x = 36
x = 3
Next, find the y value by plugging in the x value to either equation and solving.
2x - 3y = -6
2(3) - 3y = -6
6 - 3y = -6
-3y = -12
y = 4
So $350 X 10 =$3500
Then, you add the initial $1500,
which means he now has $5000
The difference between $5000 and $4500 is $500,
<span>And $500 is 9% of $4500, </span>
So the deal is equivalent to a yearly interest of 9%
<span>Hope this helps ! :)</span>
Answer:
D. 264 in³
Step-by-step explanation:
The missing edge dimension can be found using the Pythagorean theorem. Then the volume can be found using the appropriate formula.
<h3>Edge dimension</h3>
The missing dimension and the two given for the top triangle will satisfy the Pythagorean theorem. If the missing dimension is represented by 'a', then we have ...
a² +8² = 10²
a = √(100 -64) = 6 . . . . inches
<h3>Volume</h3>
The area of the top triangle is ...
A = 1/2bh . . . . where b and h are the base and height dimensions
A = 1/2(6 in)(8 in) = 24 in²
The volume of the triangular prism is ...
A = Bh . . . . . where B is the area of the triangular base, and h is the prism height
A = (24 in²)(11 in) = 264 in³
The volume of the triangular prism shown is 264 in³.
