Answer:
$99
Step-by-step explanation:
First, it was on sale for 10% off. 10% = 0.1 = 1/10. 1/10 of 100 is 10, so we subtract 10 (because 10% off) to get $90. Then, the sales tax, which we add, is 10%. 1/10 of 90 is 9, so we add 9 to 90 to get our total to be $99
Answer: For no solution it would mean that there is no answer to the equation. For infinite solutions it would mean that any value for the variable would make the equation true.
Explanation: For example of no solution 6=5 as you can tell 6 is not the same to 5 so there is no solution. More examples are 2=3, 8=10, and 1=0. For infinite solutions examples are 2=2, 7=7, and 10=10 as we can see 2 does equal 2 and 7 equals 7 which makes it true and infinite.
The lines have equal gradients;
m
Equation of line 2;
y=mx+c
y=
x+c
-15=
+c
c=-11
y=4/5x-11
Step 1:
Calculate the measure of angle ∠ABC
From the triangle in the question,
Step 2:
Calculate the value of AB using the cosine rule below
By substituting the values, we will have
![\begin{gathered} b^2=a^2+c^2-2\times a\times c\times\cos B \\ b^2=10^2+15^2-2\times10\times15\times\cos 115^0 \\ b^2=100+225-300\times(-0.4226) \\ b^2=325+126.78 \\ b^2=451.78 \\ \text{Square root both sides} \\ \sqrt[]{b^2}=\sqrt[]{451.78} \\ b=21.26\operatorname{km} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20b%5E2%3Da%5E2%2Bc%5E2-2%5Ctimes%20a%5Ctimes%20c%5Ctimes%5Ccos%20B%20%5C%5C%20b%5E2%3D10%5E2%2B15%5E2-2%5Ctimes10%5Ctimes15%5Ctimes%5Ccos%20115%5E0%20%5C%5C%20b%5E2%3D100%2B225-300%5Ctimes%28-0.4226%29%20%5C%5C%20b%5E2%3D325%2B126.78%20%5C%5C%20b%5E2%3D451.78%20%5C%5C%20%5Ctext%7BSquare%20root%20both%20sides%7D%20%5C%5C%20%5Csqrt%5B%5D%7Bb%5E2%7D%3D%5Csqrt%5B%5D%7B451.78%7D%20%5C%5C%20b%3D21.26%5Coperatorname%7Bkm%7D%20%5Cend%7Bgathered%7D)
Hence,
The distance of point A to point C is = 21.26km
Answer:
degrees and the measure of angle 5 is -------- degrees. The measure of angl
Step-by-step explanation:
