Answer:
the simple interest is <em>36.</em>
Step-by-step explanation:
To find the answer we will first<em> divide 3 by 100</em> and we get <em>0.03.</em> Now <em>multiply 0.03 by $200</em>, which is<em> 6</em>. Then <em>multiply 6 by 6</em> <em>months</em> and we get 36. Therefore, <em>36 is our answer. </em>
Haley spent $ 12....her cousin spent double....so her cuz spent $ 24
haley spent $ 12 for 2 fish...12/2 = 6 bucks per fish
so if the cuz spent $ 24....24/6 = 4.....cuz got 4 fish
haley's 2 fish + cuz's 4 fish = 6 fish in total
You’re not giving 30 points, you’re only giving 5
5
If tan θ = —— , calculate the value of cos θ:
4
Recall the definition of the tangent function:
sin θ
tan θ = ————
cos θ
5 sin θ
—— = ————
4 cos θ
Cross multiply:
5 · cos θ = 4 · sin θ
Square both sides:
(5 · cos θ)² = (4 · sin θ)²
5² · cos² θ = 4² · sin² θ
25 · cos² θ = 16 · sin² θ
But sin² θ = 1 – cos² θ. Substitute that for sin² θ into the equation above, then you get
25 · cos² θ = 16 · (1 – cos² θ)
25 · cos² θ = 16 – 16 · cos² θ
Isolate cos² θ:
25 · cos² θ + 16 · cos² θ = 16
(25 + 16) · cos² θ = 16
41 · cos² θ = 16
16
cos² θ = ———
41
4²
cos² θ = ————
(√41)²
Take square root of both sides:
4
cos θ = ± ———
√41
4 4
cos θ = – ——— or cos θ = ——— ✔
√41 √41
The sign of cos θ depends on which quadrant θ lies. Since you first have a positive value for tan θ, then that means θ lies either in the 1st or the 3rd quadrant.
• If θ is a 1st quadrant angle, then
cos θ > 0
4
cos θ = ——— ✔
√41
• If θ is a 3rd quadrant angle, then
cos θ < 0
4
cos θ = – ——— ✔
√41
I hope this helps. =)
<em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>1</em><em>/</em><em>8</em>
<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em>⤴</em><em>⤴</em>
<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>✔</em>
