Answer:
1 2/3
Step-by-step explanation:
Assuming you mean the perimeter is 4 2/15, the sum of the lengths of the two equal sides is ...
4 2/15 - 4/5 = 4 2/15 - 12/15 = 4 -10/15
Then either of the remaining sides is half this value, or ...
(4 -10/15)/2 = (4/2) -(1/2)(10/15) = 2 -5/15 = 1 10/15 = 1 2/3
Each of the remaining sides has length 1 2/3.
B, the slope has to equal three, a equals two and b equals three
Answer:
Step-by-step explanation:
![( \sqrt{5} )( \sqrt[3]{5}) \\ \\ = ({5}^{ \frac{1}{2} } ).({5}^{ \frac{1}{3} } ) \\ \\ = {5}^{ \frac{1}{2} + \frac{1}{3} } \\ \\ = {5}^{ \frac{3 + 2}{2 \times 3}} \\ \\ \huge \red{ \boxed{ = {5}^{ \frac{5}{6}} }}](https://tex.z-dn.net/?f=%28%20%5Csqrt%7B5%7D%20%29%28%20%5Csqrt%5B3%5D%7B5%7D%29%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%28%7B5%7D%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%20%7D%20%29.%28%7B5%7D%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20%29%20%5C%5C%20%20%5C%5C%20%20%3D%20%7B5%7D%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%7B5%7D%5E%7B%20%5Cfrac%7B3%20%2B%202%7D%7B2%20%5Ctimes%203%7D%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20%3D%20%7B5%7D%5E%7B%20%5Cfrac%7B5%7D%7B6%7D%7D%20%7D%7D)
Answer:
First boxes of 90degree
Second is 90degree
Third box is 42degree
Fourth box is 90-48
Step-by-step explanation:
First one not sure though sorry
Answer:
Question 1) 6x+5
Question 2) Blank #1: sum. Blank #2: 5. Blank #3: 4
See work in the attachment. If you're still confused, read the step-by-step explanation for a more in-depth explanation of what exactly I did for my work. Let me know if you have any questions :>
Step-by-step explanation:
For question 1, it's important to know that the perimeter is equal to the sum of all the sides. Since the shape is a rectangle, the sides opposite of each other are the same length. Thus, the left and right sides are both 3x - 3. 2(3x - 3) = 6x - 6. The unknown value, which I called a, is the same for both the top and the bottom. To find it, you must first subtract 6x - 6 from the perimeter of 18x + 4. This equals 12x + 10. Then, divide that answer by 2 to get the unknown side. You then get 6x + 5 as the answer for the unknown side.
To make sure it's correct, you can plug in a random number for x. In this case, I checked my work by plugging 2 in for x.
Perimeter = 18(2) + 4 = 36 + 4 = 40
Perimeter = 6(2) + 5 + 6(2) + 5 + 3(2) - 3 + 3(2) - 3 = 12 + 5 + 12 + 5 + 6 - 3 + 6 - 3 = 24 + 10 + 12 - 6 = 40
For question 2, the main idea you need to know is that A = lw. The area of the first rectangle is 6 * 5 = 30. The area of the second rectangle is 6 * 4 = 24. When you add them together, you get 54. The area of the rectangle that is formed when you combine rectangle 1 and rectangle 2 is 6 * 9 = 54. This shows that 6(4) + 6(5) = 6(9)