Answer:
2580 degrees rotated per second
Step-by-step explanation:
since you have to find the degrees it rotates per second.
you need to divide 430 by 60 to find rotations per second
1) 430/60
= 7.16666667 rotations per second
-then you have to multiply it by 360 degrees ,because their is 360 degrees in a circle
2) 7.16666667 (360)
= 2580 degrees rotated per second
#1 is 12x² -15x
#2 is fx-9x
<u>Answer:</u>
7 inches
<u>Step-by-step explanation:</u>
The dimension of the rectangular gift is 10 by 12 inches so let us find the perimeter of this rectangle.
Perimeter of rectangular gift = 2 (L+ W) = 2 (10 +12) = 44 inches
Since we are to use the same length of ribbon to wrap a circular clock so the perimeter or circumference of the clock should be no more than 44 inches.
Therefore, the maximum radius of the circular clock is 7 inches.
Hey there! :)
Answer:
m∠A = 72°.
m<B = 108°.
Step-by-step explanation:
In a parallelogram, the opposite angles are congruent.
Therefore, we can set the two expressions equal to each other:
5y - 3 = 3y + 27
Add 3 to both sides:
5y = 3y + 30
Subtract 3y from both sides:
2y = 30
Divide both sides by 2:
y = 15
Substitute this value of y into an expression to solve for the measure of ∠A:
5(15) - 3 = 72°. m∠A = 72°.
In parallelograms, the neighboring angles are supplementary. Therefore:
m∠A + m∠B = 180°
72° + m∠B = 180°
m<B = 108°.
