Answer:
Step-by-step explanation:
the square root of 12 is 3.4 so the answer is 3.4
Answer:
The side C equals to 10. hence the answer is letter A
Step-by-step explanation:
To solve this, we need to use trigonometric functions.
we know that sin (α) = Lo / H for a triangle. Being Lo : Length of the opposite side and H: Length of the hypotenuse.
Given α= 45º and Lo= 5√2 and replacing in the equation:
sin (45º) = 5√2 / C (1)
Using trigonometric identities we know that sin(45º) =(√2)/2. Replacing in equation (1):
sin (45º) = (√2)/2 = 5√2 / C ⇒ C = 2 *5 *√2 / (√2) ⇒ C=10
Answer:
Bed A --- Third Option
Bed B --- Fifth Option
Step-by-step explanation:
Flower Bed A)
The formula for circumference is:

The diameter of A is 10 feet. So, its radius is 5 feet.
Substitute 5 for r. So, the circumference of Bed A is:

The formula for the area of a circle is:

Substitute 5 for r:

Square and simplify:

So, the circumference of Bed A is 10π feet and its area is 25π square feet.
Therefore, match Bed A to the third option.
Flower Bed B)
The radius of Bed B is 6 feet. Again, we can use the circumference and area formulas. Substitute 6 for r for circumference:

Multiply:

Substitute 6 for r for the area formula:

Square and simplify:

So, Bed B has a 12π feet circumference and a 36π square feet area.
Therefore, match Bed B to the fifth option.
And we're done!
Answer:
Step-by-step explanation:
Absolute Value. Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative. The absolute value of 2 + 7 is 5.
Has two solutions x = a and x = -a because both numbers are at the distance a from 0. ... An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative.
$20-$14.56=$5.44
The mechanic would get $5.44 back as change.