Answer:i did this just line up the dots and to tell if its porportional its straight through the orgin.
Step-by-step explanation:
hello
the question here is
![3\sqrt[]{7}(14-4\sqrt[]{56})](https://tex.z-dn.net/?f=3%5Csqrt%5B%5D%7B7%7D%2814-4%5Csqrt%5B%5D%7B56%7D%29)
step 1
multiply through the bracket by the coeffiecient
![\begin{gathered} 3\sqrt[]{7}(14-4\sqrt[]{56}) \\ (3\sqrt[]{7}\times14)-(3\sqrt[]{7}\times4\sqrt[]{56}) \\ (14\times3\sqrt[]{7})-3\sqrt[]{7}\times4\sqrt[]{4\times14} \\ (42\sqrt[]{7})-3\sqrt[]{7}\times8\sqrt[]{14} \\ (42\sqrt[]{7})-\lbrack(3\times8)\sqrt[]{7\times14} \\ 42\sqrt[]{7}-24\sqrt[]{98} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%203%5Csqrt%5B%5D%7B7%7D%2814-4%5Csqrt%5B%5D%7B56%7D%29%20%5C%5C%20%283%5Csqrt%5B%5D%7B7%7D%5Ctimes14%29-%283%5Csqrt%5B%5D%7B7%7D%5Ctimes4%5Csqrt%5B%5D%7B56%7D%29%20%5C%5C%20%2814%5Ctimes3%5Csqrt%5B%5D%7B7%7D%29-3%5Csqrt%5B%5D%7B7%7D%5Ctimes4%5Csqrt%5B%5D%7B4%5Ctimes14%7D%20%5C%5C%20%2842%5Csqrt%5B%5D%7B7%7D%29-3%5Csqrt%5B%5D%7B7%7D%5Ctimes8%5Csqrt%5B%5D%7B14%7D%20%5C%5C%20%2842%5Csqrt%5B%5D%7B7%7D%29-%5Clbrack%283%5Ctimes8%29%5Csqrt%5B%5D%7B7%5Ctimes14%7D%20%5C%5C%2042%5Csqrt%5B%5D%7B7%7D-24%5Csqrt%5B%5D%7B98%7D%20%5Cend%7Bgathered%7D)
Answer:
The number is 62
Step-by-step explanation:
Let the digits of the number be T and U;
A 2 digit number is represented as: 10T + U
So,


Required
Find the digit
Make U the subject in the first equation

Substitute 8 - T for U in the second




Collect Like Terms






Recall that:



<em>Hence, the number is 62</em>
Answer:
m∠A = 9.1°
m∠B = 10.9°
c = 54.2
The answer is (d)
Step-by-step explanation:
∵ a = 25
∵ b = 30
∵ m∠C = 160°
∴ c² = a² + b² - 2 × ab × cos(C)
∴ c² = 25² + 30² - 2(25)(30) × cos(160) = 2934.5389
∴ c = 54.2
∵ a/sin(A) = b/sin(B) = c/sin(C)
∵ 25/sin(A) = 54.2/sin(160)
∴ sin(A) = (25 × sin(160)) ÷ 54.2 = 0.1577584
∴ m∠A = 9.1°
∵ 30/sin(B) = 54.2/sin(160)
∴ sin(B) = (30 × sin(160)) ÷ 54.2 = 0.18931
∴ m∠B = 10.9°
502/1000 is closest. Easiest way to determine this is to use a calculator, convert all to decimals, and compare.