21 + p = 44
Subtract 21 from both sides;
21 + p - 21 = 44 - 21
p = 23
Answer:
B is your answer
Step-by-step explanation:
Answer:
Area: 272ft²
Volume = 82.6236447189ft³
Step-by-step explanation:
AREA
The area of a square pyramid is found by combining the area of the base and the area of the triangular faces:
Area of base = area of square = L² = 8² = 16ft²
Area of one triangular face = (1/2)bh = (1/2)(8)(16) = 64ft²
There are four triangular faces so the total area = 16+4(64)= 16+256= 272 ft²
VOLUME
The volume of a square pyramid = (a²)(h/3), where a is the length of the base and h is the length from the top of the pyramid to the middle of the square.
We are given a, but not h. To find h, we must imagine a right-angled triangle within the pyramid, where 16ft is the hypotenuse, h is the height and the base is half of a (since the base is a square and the distance is from the edge to the middle). We can then use pythagorus's theorem to find h:
A²=B²+C²
16²=(8/2)²+h²
256=16+h²
h=√240
h=15.4919333848ft
Knowing h, we can find the volume:
Volume = (a²)(h/3)
Volume = (8²)(15.4919333848/3)
Volume = (16)(5.16397779493)
Volume = 82.6236447189ft³
The exact value of the y in the similar right triangle is 2.2360679775 units
<h3 /><h3>How to find the side of a triangle?</h3>
The triangles are similar.
Similar triangles have corresponding sides of equal ratio.
The corresponding angles of similar triangle are equal.
Therefore, using similar ratio,
y / 5 = 1 / y
cross multiply
y × y = 5 × 1
y² = 5
square root both sides
y = √5
Therefore,
y = 2.2360679775 units
learn more on triangles here: brainly.com/question/2773823
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Answer:
add the number on the bar graph to get the answer so add all of the charts numbers together
Step-by-step explanation:
