<span>The nearest perfect square that is less than 22 is 16, whose square root is 4.
</span><span>Add the square root from step 1 to 3/4 to get 4.75.
</span>Calculate the quantity one-half times the square of divided by the value found in step 2, or 4.75. (1/2 * (3/4)^2) <span>÷ 4.75 = 0.06.
</span>
Subtract the value found in step 3 from the value found in step 2, or 4.75.
The approximate value of <span>√22 is 4.69.</span>
So we are given a system:

Substitute x = 2 we get the system:

Multiply the first equation by -5 and the second by 2 we get the system:

Adding the two equations we get :

We find the value of y by using any of the other equations like this:

Final solution:
Answer:
$1210
Step-by-step explanation:
Let x be total amount
First John spent $110 on a radio and 4/11 of what was left on presents for his friends so he was left with

Then he put 2/5 of his remaining money into a checking account

Rest he donated to charity

Hence total amount of money John originally had was $1210
<u>The given options are:</u>
(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
(B)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.
(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.
(D)the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.
Answer:
(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
Step-by-step explanation:
The area of the shaded sector can be determined using the formula:



Therefore, the formula is:

Therefore, the formula is best explained by Option A.
<span><span>(<span>sinx</span>−<span>tanx</span>)</span><span>(<span>cosx</span>−<span>cotx</span>)</span></span>
<span>=<span>(<span>sinx</span>−<span><span>sinx</span><span>cosx</span></span>)</span><span>(<span>cosx</span>−<span><span>cosx</span><span>sinx</span></span>)</span></span>
<span>=<span>sinx</span><span>(1−<span>1<span>cosx</span></span>)</span><span>cosx</span><span>(1−<span>1<span>sinx</span></span>)</span></span>
<span>=<span>sinx</span><span>(<span><span>cosx</span><span>cosx</span></span>−<span>1<span>cosx</span></span>)</span><span>cosx</span><span>(<span><span>sinx</span><span>sinx</span></span>−<span>1<span>sinx</span></span>)</span></span>
<span>=<span><span>sinx</span><span>cosx</span></span><span>(<span>cosx</span>−1)</span><span><span>cosx</span><span>sinx</span></span><span>(<span>sinx</span>−1)</span></span>
<span>=<span>(<span>cosx</span>−1)</span><span>(<span>sinx</span>−1<span>)</span></span></span>