All you do is solve for z. So 8z-13=7. To solve for a variable you have to do the opposite to cancel out the numbers on each side. First you add 13 over to 7 to cancel out 13 on the z side. So 8z=20 is what you have left. Then you divide 8 on both sides to cancel out 8 on the z side. what you are left with is z=2.5. Lastly you plug and check. 8(2.5) - 13 = 7, 20-13=7. And thats correct so z is 2.5.
Answer:
x = 9.6
Step-by-step explanation:
Before we can figure out what x is, we need to figure out what the unlabeled side is. To figure that out, multiply the hypotenuse (12) by the sine of the angle labeled (34)
12 * sin(34)
<em>sin(34) equals 0.559192903470747; I'll round it to 0.6 for convenience.</em>
12 * 0.6
<em>Now simply multiply 12 by 0.6 to get 7.2.</em>
The unlabeled side is approx. 7.2 units long.
Now we know what the unlabeled side is. Now, to find x, find the square root of 12 squared minus 7.2 squared.
x = √12² - 7.2²
<em>12 squared is 144; 7.2 squared is 51.84.</em>
x = √144 - 51.84
<em>Subtract 51.84 from 144 to get 92.16.</em>
x = √92.16
<em>The square root of 92.16 is 9.6 (on the spot!).</em>
x equals 9.6.
Answer:
I believe it is distributive because you are finding the products. Yes, the numbers are mixed up but the parenthesis often involve distributive property.
The polynomial is not factorable with rational numbers
Answer:
148 square inches
Step-by-step explanation:
Step 1: finding the area of the base (upper base plus lower base)
2( L x W).
2 (6in. x 5in.)
2( 30 square inches.)
60 square inches
Step 2: finding the area of first 2 sides
2 ( l x w)
2 ( 5in x 4in)
2 ( 20 square inches.)
40 square inches
step 3: finding the area of the last 2 sides
2(lxw)
2(4in.x 6in.)
2(24 square inches.)
48 square inches
step 4: combine all the answers.
60 square inches. + 40 square inches. + 48 square inches = 148 square inches
