Hi! In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.<span>
Hope this helps!
Love, grace-
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Answer:
√2(√3 - 1)/4
Step-by-step explanation:
To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).
Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,
Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°
Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.
Substituting these values into the above equation, we have
Cos75° = Cos(45° + 30°)
= Cos45°Cos30° - Sin45°Sin30°
= √2/2 × √3/2 - √2/2 × 1/2
= √6/4 -√2/4
= √2(√3 - 1)/4
Answer:
the number is 31.2
Step-by-step explanation:
Given that:
1/2x-19.7=-4.1
Adding 19.7 on both sides:
1/2x-19.7 + 19.7=-4.1 + 19.7
1/2x = 15.6
Multiplying both sides by 2:
x = 15.6 * 2
x = 31.2
So the number is 31.2
i hope it will help you!
We have to use the distance formula between the two points provided
Answer:
Step-by-step explanation:
This represents an arithmetic progression with the first term of a = 15 and common difference of d = 3.
<u>The tenth row is the 10th term:</u>
<u>The row 10 has:</u>
- a₁₀ = 15 + 9*3 = 15 + 27 = 42 seats
