Answer:
30 degrees
Step-by-step explanation:
Since one leg is half the length of the hypotenuse, it's a 30-60-90 right triangle. Therefore, the angle opposite the smaller leg is 30 degrees.
Answer:
85 cm²
Step-by-step explanation:
The base is a square with side length 5 cm. The area of this base is
A = s² = (5 cm)² = 25 cm².
If the slant height of each lateral face of the pyramid is 6 cm, then we can find the area of each such face using the area-of-a-triangle formula,
A = (1/2)(base)(height), which here is
A = (1/2)(5 cm)(6 cm) = 15 cm² per lateral side.
The total area of these sides is 4(15 cm²) = 60 cm².
Then the total surface area of the pyramid is A = 60 cm² + 25 cm² = 85 cm².
Answer:
x=66
Step-by-step explanation:
180-114=66
The distance of the yacht from the ship is 35 km
<h3>How to determine the distance?</h3>
See attachment for the diagram that represents the given parameters.
The distance of the yacht from the ship is then calculated using the following law of cosine.
YS^2 = ST^2 + YT^2 - 2 * ST * YT * cos(T)
This gives
YS^2 = 24^2 + 12^2 - 2 * 24 * 12 * cos(155)
Evaluate the exponents and the products
YS^2 = 576 + 144 + 522
Evaluate the sum
YS^2 = 1242
Take the square root of both sides
YS = 35
Hence, the distance of the yacht from the ship is 35 km
Read more about law of cosine at:
brainly.com/question/4372174
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Answer:
The solution for the given expression is , i.e option C
Step-by-step explanation:
Given expression as :
Now, From the common radix method
<u>∵ In multiplication of radix , if the radix is same , then power is added</u>
I.e =
Or , =
Now, The expression can be written as
<u>And In Division of radix , if the radix is same , then power is subtracted</u>
So,
Or,
Or,
or,
∴ The expression is now
²
Now, again this is written as
×
I.e here again the radix is same and in multiple for, so, power is added
∴ × =
I.e × =
Hence The solution for the given expression is , i.e option C . Answer