Answer:
1. Associative Property of Multiplication
2. Multiplicative Identity Property
3. Multiplicative Inverse Property
4.Additive Identity Property
5. Associative Property of Addition
6. Additive Inverse Property
The height of the green pyramid constructed by Natalie while playing with magnetic building tiles is 26.25 cm.
<h3>
Volume of the orange pyramid</h3>
The volume of the orange pyramid is calculated as follows;
V = ¹/₃Ah
where;
- A is the base area of the pyramid
- h is the height of the pyramid
V = ¹/₃ x (7²) x 5
V = ¹/₃ x (245 cm³)
<h3>
Volume of the green pyramid</h3>
Voume = 21 x [¹/₃ x (245 cm³)]
Volume = 1,715 cm³
<h3>Height of the green pyramid</h3>
V = ¹/₃Ah
3V = Ah
h = 3V/A
h = (3 x 1715) / (14²)
h = 26.25 cm
Learn more about area of pyramid here: brainly.com/question/22744289
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Answer:
15884
Step-by-step explanation:
just follow the order easy
Brainliest
Answer: a) 2:1. b) 3. c) Perimeter of ΔEFG=36 Perimeter of ΔHIJ=18. d) 2:1
Step-by-step explanation:
a) Find the ratio of GF and JI. 16:8. Simplify by dividing both by 8 to get 2:1.
b) Set up this equation: 6/16=x/8. Cross-multiply. 6*8=48. Divide by 16. 48/16=3.
c) First find the length of one half of GF by dividing 16 by 2. 16/2=8. Set up the Pythagorean theorem. 8^2+6^2=c^2. Square 8 and 6. 64+36=c^2. Add 64 and 36. 100=c^2. Find the square root of 100. c=10.
EF and EG both measure 10 since they are shown to be congruent. 10+10+16=36.
Next find the length of one half of JI by dividing 8 by 2. 8/2=4. Set up the Pythagorean theorem. Since we know x=3, it will be 4^2+3^2=c^2. Square both 4 and 3. 16+9=c^2. Add 16 and 9. 25=c^2. Find the square root of 25. c=5.
HJ and HI both measure 5 since they are congruent. 5+5+8=18.
d) Find the ratio of the perimeters of ΔEFG and ΔHIJ. 36:18. Simplify by dividing both by 6 to get 6:3. Simplify further by dividing both by 3 to get 2:1.
