Let's solve this problem step-by-step.
Let's first establish the following formula:
Angle sum of a triangle = 180°
Also, note that the square shape in the top-right corner of the triangle indicates that it is a right-angle. This means that, that angle is equal to 90°.
Now, let's establish the equation we will be using to solve this problem based on the previous information as displayed below:
m + 38° + 90° = 180°
We will now simply solve the equation in order to obtain the value of ( m ) as display below:
m + 38° + 90° = 180°
m = 180 - 38 - 90
m = 52°
ANSWER:
Therefore, the answer is:
C. 52 degrees.
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Answer:
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Step-by-step explanation:
We get tne n-th term with: tn=1/3tn-1
We know that the first term is t1=81, so 81=1/3t*1-1
81=1/3t-1
82=1/3t
82*3t=1
3t=1/82
t=1/82*3=1/246
The second term is: 1/
2*(1/246)*2)-1
We get the third term by replacing n with 3 and so on...
Answer:
7. 1520.53 cm²
8. 232.35 ft²
9. 706.86 m²
10. 4,156.32 mm²
11. 780.46 m²
12. 1,847.25 mi²
Step-by-step explanation:
Recall:
Surface area of sphere = 4πr²
Surface area of hemisphere = 2πr² + πr²
7. r = 11 cm
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)
8. r = ½(8.6) = 4.3 ft
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)
9. r = ½(15) = 7.5 m
Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)
10. r = ½(42) = 21 mm
Plug in the value into the formula
Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44
= 4,156.32 mm²
11. r = 9.1 m
Plug in the value into the formula
Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15
= 780.46 m²
12. r = 14 mi
Plug in the value into the formula
Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75
= 1,847.25 mi²
Answer:
The correct option is subset.
Step-by-step explanation:
If all elements of set A are also elements of set B, then set A is a(n) <u>subset</u> of set B
According to the definition of subset, A set A is a subset of another set B if all elements of the set A are elements of the set B. In other words, the set A is contained inside the set B. It is denoted by A⊆B.
For example:
A={1,2,3} B={1,2,3,4}
In this example A is a subset of B because all the elements of A are elements of set B but set B has some extra element. Therefore A is a subset of B
Therefore according to the given explanation the correct option would be subset....