This question is Incomplete because it lacks the appropriate diagram for the square pyramid. Please kindly find attached the required diagram
Answer:
45 square inches
Step-by-step explanation:
From the question, we are told that the foil covers the body of the trophy including the bottom, hence the formula we would be applying =
Total Surface Area of the Square pyramid = 2bs + b²
Where s = Height of the square pyramid
b = Edge length of the square pyramid
From the attached diagram, we can see that:
s = 6 inches
b = 3 inches
Total Surface Area of the Square pyramid = 2bs + b²
= 2 × 3 × 6 + 3²
= 36 + 9
= 45 square inches.
Therefore, the amount of gold foil it took to cover the trophy, including the bottom is 45 square inches
Answer:
Part A) the direct variation equation that relates x and y is:
Part B) value of y = 75
Step-by-step explanation:
Part A)
We are given that y varies directly with x, and y=10 when x=-2 what direct variation equation relates x and y?
If x and y are directly related then:
y ∝ x or y=kx
where k is constant of proportionality.
Now, finding k:
y=10 and x=-2
So, value of k = -5
So, the direct variation equation that relates x and y is:
Part B)
What is the value of y when x = -15
the equation is:
Putting x = -15
So, value of y = 75
Keywords: Direct Variation
Learn more about Direct Variation at:
#learnwithBrainly
Answer:
B.
Step-by-step explanation:
Resort to graph.
Answer:A
The mean is the average of all numbers, in this example it's to national averages which will have many numbers.
A=43°
B=82°
c=28
1) A+B+C=180°
Replacing A=43° and B=82° in the equation above:
43°+82°+C=180°
125°+C=180°
Solving for C. Subtracting 125° both sides of the equation:
125°+C-125°=180°-125°
C=55° (option B or C)
2) Law of sines
a/sin A=b/sin B=c/sin C
Replacing A=43°, B=82°, C=55°, and c=28 in the equation above:
a/sin 43°=b/sin 82°=28/sin 55°
2.1) a/sin 43°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 43°:
sin 43°(a/sin 43°)=sin 43°(28/sin 55°)
a=28 sin 43° / sin 55°
Using the calculator: sin 43°=0.681998360, sin 55°=0.819152044
a=28(0.681998360)/0.819152044
a=23.31185549
Rounded to one decimal place
a=23.3
2.2) b/sin 82°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 82°:
sin 82°(b/sin 82°)=sin 82°(28/sin 55°)
b=28 sin 82° / sin 55°
Using the calculator: sin 82°=0.990268069, sin 55°=0.819152044
b=28(0.990268069)/0.819152044
b=33.84903466
Rounded to one decimal place
b=33.8
Answer: Option B) C=55°, b=33.8, a=23.3
