Answer:
75.52
Step-by-step explanation:
All you have to do is second cos, or cos^-1(2/8), because of sohcahtoa, adjacent hypotenuse, so it is cos.
The equation to find the length of the longer piece is
x- 12 = 55
Step-by-step explanation:
- A carpenter had two pieces of lumber that totaled in length = 55 feet
- The shorter piece than the longer piece has length of which is = 12 feet
- The longer piece is denoted as= x
- Find x = ?
- The equation can be formed to find the value of x as,
- Longer piece (x) ₋ shorter piece (12) = total length (55)
- Therefore, x ₋ 12 = 55
- the above equation states that
- if you subtract the shorter piece from the total length of the you will get the length of the longer piece.
- therefore,
- if you shift the value of shorter length on the right hand side, you can find the value of x
- so, x= 55 ₋ 12
- value of x = 43
- therefore, the length of the longer piece is 43 feet long.
Answer:
Step-by-step explanation:
hello :
941 = 8 ×117+5
the remainder is 5
Writing in remainder notation would have 941/8 = 117 R 5
<span><span><span>y2</span>(<span>y2</span>−4)=<span>x2</span>(<span>x2</span>−5)</span><span><span>y2</span>(<span>y2</span>−4)=<span>x2</span>(<span>x2</span>−5)</span></span><span> Multiplying the polynomials gets us to </span><span><span><span>y4</span>−4<span>y2</span>=<span>x4</span>−5<span>x2</span></span><span><span>y4</span>−4<span>y2</span>=<span>x4</span>−5<span>x2</span></span></span><span>. Taking the derivative with respect to </span><span>xx</span><span> gets us: </span><span><span>4<span>y3</span><span>y′</span>−>!8y<span>y′</span>=4<span>x3</span>−10x</span><span>4<span>y3</span><span>y′</span>−>!8y<span>y′</span>=4<span>x3</span>−10x</span></span><span>. Factoring to get </span><span><span>y′</span><span>y′</span></span><span> by itself: </span><span><span><span>y′</span>(4<span>y3</span>−8y)=4<span>x3</span>−10)</span><span><span>y′</span>(4<span>y3</span>−8y)=4<span>x3</span>−10)</span></span><span>. Divide through to get </span><span><span>y′</span><span>y′</span></span><span> by itself: </span><span><span><span>y′</span>=<span><span>4<span>x3</span>−10x</span><span>4<span>y3</span>−8y</span></span></span><span><span>y′</span>=<span><span>4<span>x3</span>−10x</span><span>4<span>y3</span>−8y</span></span></span></span><span>. You could make your life a bit easier by factoring this into </span><span><span><span>y′</span>=<span><span>2x(2<span>x2</span>−5)</span><span>4y(<span>y2</span>−2)</span></span></span><span><span>y′</span>=<span><span>2x(2<span>x2</span>−5)</span><span>4y(<span>y2</span>−2)</span></span></span></span><span>. You could cancel out a factor of </span><span>22</span><span> to get </span><span><span><span>y′</span>=<span><span>x(2<span>x2</span>−5)</span><span>2y(<span>y2</span>−2)</span></span></span><span><span>y′</span>=<span><span>x(2<span>x2</span>−5)</span><span>2y(<span>y2</span>−2)</span></span></span></span><span>. To find the slope, plug in your points </span><span><span>x=0,y=−2</span><span>x=0,y=−2</span></span><span> into our equation for </span><span><span>y′</span><span>y′</span></span><span> to find the slope of the line. Note that the slope is </span><span>00</span><span>. To find the </span>equation<span> of the tangent line, use that value for </span><span>mm</span><span> you just found (</span><span><span>m=0</span><span>m=0</span></span><span>) and your given points into the point-slope formula and you find that the tangent line is </span><span><span>y=−2</span><span>y=−2</span></span><span>.
Thats what my Aunt said... Idk</span>
Answer:
12/5
Step-by-step explanation:
-3/2 ÷ -5/8 =
-3/2 x 8/-5 =
-24/-10 =
12/5
