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.
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<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:
Cost to arrange the event for 5 attendees will be $20.
Step-by-step explanation:
We have to solve this question by calculating the unit rates or unitary method.
Since cost to arrange corporate team building event for 3 attendees is = $12
Cost to arrange the event for 1 attendee will be = = $4
Therefore, cost to arrange the event for five attendees will be = 5×4 = $20
Hi, there.
For this question, we can apply the Pythagorean theorem .
I'm sure you've seen this equation before, and they kind of tried to trip you up with this problem. Trust me, it's easier than it looks. Let's break it down.
Lengths a and b both have the value of 48, which means that the value s in is 48, because the length of the hypotenuse is the same as the length and height squared multiplied by 2.
Plug in the value for c:
Plug in the value for s:
Do the innermost exponents first:
The square root symbol and the power of 2 cancel each other out, so we are left with:
s = , so the hypotenuse is 4608 inches.
Answer:
The points would be -3, -2 1/2, 1.25, 4 the line would start at -3 and end at positive 4 I recommend 3 tick marks in between each whole number and place your dots accordingly on the line
hope this helps :)
The axis of symmetry is 2