Answer: The volume of the solid is 324 cm³
Step-by-step explanation:
Formula for determining the volume if a cube is s³
Where s represents the length of each side of the cube.
From the information given, s = 6 cm
Volume = 6³ = 216 cm³
The formula for determining the volume of the square base pyramid is expressed as
Volume = Area × height × 1/3
From the information given,
Length of square base = 6 cm
Height = 6 cm
Area of square base = 6² = 36 cm²
Volume of square base pyramid
= 36 × 6 × 1/3 = 108 cm³
The volume of the solid would be the sum of the volume of the cube and the volume of the square base pyramid. It becomes
216 + 108 = 324 cm³
Answer:
175 ft
Step-by-step explanation:
From the question,
(a) ΔABC and ΔEDC are similar because all the angles in ΔABC is equal to the corresponding angles in ΔEDC.
I.e, ΔABC is equiangular to ΔEDC. (AAA).
(b) From the diagram.
for similar angle, ratio of corresponding sides are equal
100/d = 4x/7x
100/d = 4/7
where d = distance across the river
solve for d
d = (100×7)/4
d = 175 ft
<span>Go up to 4 on the y axis, and then go up 2 and over 1, then graph.
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Turn each number into the product of it's prime factors.
32=16x2=2x2x2x2x2=2^5
48=24*2=6x4x2=2x3x2x2x2
Pick the highest number that occurs. In this case it is 2. Now we have to see how many times it appears in both. It appears 5 times in 32 and 4 times in 48. 4 is the highest number of times it appears in the numbers so:
2^4=2x2x2x2=16
The Greatest Common Factor (GCF) of 32 and 48 is 16.
First subtract 3 from both sides of the equal sign.
9s + 3 = 57
- 3 -3
9s = 54
Then divide both sides by 9.
9s = 54
/9 /9
s = 6
You can check it by plugging it back into the equation.
9s + 3 = 57
9 * 6 + 3= 57
54 + 3 = 37
57 = 57
Yep! It's correct! :)
Hope that helped. Algebra can be tricky sometimes I know but it's really just balancing equations.
