Answer:
10^3
Step-by-step explanation:
any time you see a number for example 7^6 you always start with those first when you have a math question like the one on the screenshot
$4.05/1.8 oz= $2.25 per oz
Final answer: $2.25 per oz
Let's solve number 7 <span>step-by-step.
</span><span><span>y/23</span>=7
</span>Step 1: Multiply both sides by 23.
<span><span>y/23</span>=7
</span><span><span><span>(<span>y23</span>)</span>*<span>(23)</span></span>=<span><span>(7)</span>*<span>(23)
</span></span></span><span>y=<span>161 is our answer.
</span></span>Let's solve number 8 step-by-step.
<span>n−4.85=12.6
</span>Step 1: Add 4.85 to both sides.
<span>n−4.85+4.85=12.6+4.85
</span>n=17.45 is our answer.
<span>
</span>Let's solve number 12 step-by-step.
<span><span>m/5</span>=8
</span>Step 1: Multiply both sides by 5.
<span><span>m/5</span>=8
</span><span><span><span>(<span>m/5</span>)</span>*<span>(5)</span></span>=<span><span>(8)</span>*<span>(5)
</span></span></span><span>m=40 is our answer.
</span><span>
</span>Let's solve number 16 step-by-step.
<span><span>a/12</span>=8
</span>Step 1: Multiply both sides by 12.
<span><span>a/12</span>=8
</span><span><span><span>(<span>a/12</span>)</span>*<span>(12)</span></span>=<span><span>(8)</span>*<span>(12)
</span></span></span><span>a=<span>96 is or answer.</span></span>
Answer:
12.1 cm
Step-by-step explanation:
Using the law of sines, we can find angle C. Then from the sum of angles, we can find angle B. The law of sines again will tell us the length AC.
sin(C)/c = sin(A)/a
C = arcsin((c/a)sin(A)) = arcsin(8.2/13.5·sin(81°)) ≈ 36.86°
Then angle B is ...
B = 180° -A -C = 180° -81° -36.86° = 62.14°
and side b is ...
b/sin(B) = a/sin(A)
b = a·sin(B)/sin(A) = 13.5·sin(62.14°)/sin(81°) ≈ 12.0835
The length of AC is about 12.1 cm.
_____
<em>Comment on the solution</em>
The problem can also be solved using the law of cosines. The equation is ...
13.5² = 8.2² +b² -2·8.2·b·cos(81°)
This is a quadratic in b. Its solution can be found using the quadratic formula or by completing the square.
b = 8.2·cos(81°) +√(13.5² -8.2² +(8.2·cos(81°))²)
b = 8.2·cos(81°) +√(13.5² -(8.2·sin(81°))²) . . . . . simplified a bit
Answer:
Step-by-step explanation:6x+12-2 if x=1/2
