Answer:
C = 106.76 cm
Step-by-step explanation:
In the diagram, we are given the diameter (d), which is 34 cm. Using the formula you are given, we know circumference is 3.14 × d
C = 3.14 × d
C = 3.14 × (34)
C = 106.76 cm
The circumference is around 106.76 cm
Answer:
Step-by-step explanation:
Component form of a vector is given by 
, where 
represents change in x-value and 
represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector 
, the magnitude is 
.
190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being , one leg being , and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.
In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
To find the other leg, , we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:
Verify that 
Therefore, the component form of this vector is 
The answer to 9 is 87.
The answer to 10 is x=91, y=89, and z=31
Mark as branliest plz
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Step-by-step explanation:
Answer:
75.7°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle. You are given all three sides of the triangle, so you can make use of at least two different trig functions to find the missing angle.
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
__
<h3>cosine</h3>
The hypotenuse is 65, and the side adjacent to the unknown angle is 16. That tells you ...
cos(?) = 16/65
The inverse function is used to find the angle value:
? = arccos(16/65) ≈ 75.7°
__
<h3>tangent</h3>
The side opposite the angle of interest is 63. Then you have ...
tan(?) = 63/16
The inverse function is used to find the angle value:
? = arctan(63/16) ≈ 75.7°
_____
<em>Additional comments</em>
When using trig functions on a calculator, you need to make sure the angle mode is set to what you want. Here, we want angles in degrees, so we have set that as the angle mode. The [DEG] icon in the lower left corner of the display confirms this.
We can't tell what you're supposed to round the value to. The attachment gives enough digits for you to be able to round to whatever precision you need.
