Answer:
6
Step by step explanation:
4(3)-6
Multiply
4 x 3
Now subtract the numbers
12-6
The solution is 6
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28 x because parenthesis first and you can’t do 2 + 2x so 7x times 2 is 14x and 7 times 2x is 14x
Answer:
Step-by-step explanation:
Part 1 is B and part 2 is A
Answer: 29 feet (deepest) at 6 am
21 feet (shallowest) at Midnight & Noon
<u>Step-by-step explanation:</u>
y = -4 cos (π/6)t +25
Amplitude (A) = 4
-A means it is a reflection over the x-axis (starts at minimum)<em> </em>
Period = 2π/B → Period = 12
Phase shift = C/B → Phase Shift = 0
Midline (D) = 25
Midline (D) ± Amplitude (A) = Max & Min
Max: 25 + 4 = 29
Min: 25 - 4 = 21
Change the coordinates of y = cos (x) as follows:
- x-value: Add C then divide by B
- y-value: Multiply by A then add D
Note that the equation shows: A = -4, B = π/6, C = 0, D = 25
Part 1) <span>In triangle PQR, mP= 43, PQ=7.5 and PR= 8.4. What is mR to the nearest degree?
we know that
the law of cosines establishes that
c</span>²=a²+b²-2*a*b*cos C
in this problem
c=QR
a=PQ=7.5
b=PR=8.4
C=angle P=43°
c²=a²+b²-2*a*b*cos C----> c²=7.5²+8.4²-2*7.5*8.4*cos 43°
c²=34.66--------> c=5.89
QR=5.9
applying the law of sines
7.5/sin R=5.9/sin 43-----> 7.5*sin 43=5.9*sin R---> sin R=7.5*sin 43/5.9
sin R=0.8669---------> R=arc sin (0.8669)----> R=60.11°----> R=60°
the answer Part 1) is the option
<span>D. 60
</span>
Part 2) <span>In triangle ABC mA=43, mB=62 and BC=22 in. What is AB to the nearest tenth of an inch?
we know that
</span>∠C=180-(62+43)-----> ∠C=75°
<span>
Applying the law of sines
22/sin 43=AB/sin 75------> AB=22*sin 75/ sin 43-----> AB=31.16 in
AB=31.2 in
the answer Part 2) is
</span><span>D.31.2</span>
