Answer:
- D. They are similar by the definition of similarity in terms of a dilation.
Step-by-step explanation:
<em>Refer to attached</em>
The points are plotted and connected to make triangles
As per the diagram, the triangles are similar, each side of ABC is reduced twice to make the corresponding sides of DEF, so the scale factor is 1/2.
<u>Correct choice is D</u>
- They are similar by the definition of similarity in terms of a dilation.
Answer:
expanded notation form:
6,383 =
6,000
+ 300
+ 80
+ 3
expanded factors form:
6,383 =
6 × 1,000
+ 3 × 100
+ 8 × 10
+ 3 × 1
expanded exponential form:
6,383 =
6 × 103
+ 3 × 102
+ 8 × 101
+ 3 × 100
Step-by-step explanation:
i wasn't entirely sure what you needed but i hope this helps :) have a great day !!
The person sleeps 8 hours a day.
There are 365 days in a year and 366 days in a leap year.
A leap year occurs every 4 years.
If we divide 75 by 4, we get 18.75. This number represents how many leap years occurred in 75 years. So, the person experienced approximately 19 leap years.
19 leap years has 6954 days.
The other 56 years, which have 365 days each year, have a total of 20,440 days.
That's a total of 27,394 days.
27,394 × 8 = 219,152 hours
This is approximately 24 years or 9,131 days.
Answer:
C. 17, 12, 7
Step-by-step explanation:
In a triangle, the sum of the lengths of any two sides must be greater then the length of the third side. If you can show any two segments, the sum of whose lengths is less than the length of the third segment, that cannot form a triangle.
In choices A, B, and D, there is at least one sum of the lengths of two segments that is less then the length of the third segment. That shows that choices A, B, and D cannot form triangles.
A. 8 + 7 = 15 < 16 No
B. 9 + 7 = 16 = 16 No
D. 11 + 5 = 16 < 17 No
C.
17 + 12 = 29 > 7
12 + 7 = 19 > 17
17 + 7 = 24 > 12
Yes
<u>Given</u>:
Given that the radius of the sphere is 9 cm
We need to determine the volume of the sphere.
<u>Volume of the sphere:</u>
Let us determine the volume of the sphere.
The volume of the sphere can be determined using the formula,
where r is the radius of the sphere.
Substituting r = 9 in the above formula, we get;
Thus, the volume of the sphere is 972π cm³
Hence, Option B is the correct answer.
