Answer:
The longest side length b is approximately 13.172 cm
Step-by-step explanation:
The given parameters are;
The area of the triangle = 22.4 cm²
The given angles of the triangle = ∠97°
The given side of the triangle = 3.7 cm
The formula for the area of a triangle, A = 1/2 × a × b × sin(C)
Where;
a, and b are the side legs forming the angle C
Therefore, we have;
A = 22.4 = 1/2 × 3.7 × a × sin(97°)
a = 22.4/(1/2 × 3.7 × sin(97°)) ≈ 12.199
a ≈ 12.199 cm
Therefore, by cosine rule, we have;
b² = a² + c² - 2 × a × c × Cos(B)
Substituting the values, gives;
b² = 12.199² + 3.7² - 2 × 12.199 × 3.7 × Cos(97°)
b² ≈ 173.507
∴ b ≈ √173.507 ≈ 13.172
b ≈ 13.172 cm
Answer:
The mass of a longhorn cow.
Step-by-step explanation:
Kilograms will measure mass, not length, so we are left between two options. Kilograms would be used for heavier objects, so between a paper clip (which would be likely measured in grams,) and the longhorn, the cow would be what you would measure in kilograms.
Answer:
Step-by-step explanation:
To get from the top square to the bottom square, multiply by - 3 So the middle position of the bottom square is - 30. If you solve all of the top square, you can get the bottom square easily enough.
The diagonal of the top square adds to 13 + 10 + 7 = 30
The top line of the top square must add to 30 as well 13 + 11 + 6. Put 6 in the middle position.
The right hand vertical line must add to 30. 11 + 7 + 12 = 30
The middle row must add to 30. 10 + 12 + 8. 8 goes in the left position of the middle row.
Let's summarize what we have so far.
13 6 11
8 10 12
7
We can fill in the last two spaces by adding to 30
13 6 11
8 10 12
9 14 7
That completes the top magic square.
To get the bottom magic square, multiply by -3
- 39 - 18 -33
-24 -30 -36
-27 -42 -21
Answer:
Area= 480 because 8x6x10=480
Perimeter= 24 because 8+6+10=24
Step-by-step explanation:
If I am correct, I think you have to subtract 121 degrees from 79 degrees, and the answer would be:
B. 48 degrees