At a breakfast buffet, 54% of people choose coffee for their beverage while 16% choose juice. Also, 12% choose both coffee and j

112°. The explanation step-by-step: As trapezoid RSTU has congruent diagonals, it qualifies as an Isosceles Trapezoid. A defining property of Isosceles Trapezoids is that the base angles are equivalent. Therefore, if angle S measures 112°, angle U must also measure 112°.

Answer:

172.7 sqft (square feet)

Step-by-step explanation:

SA = 2(pi)(r)(h) + 2(pi)r^2

Insert the radius and height to derive SA, then multiply by 10 for the total number of fenceposts.

SA= 2(3.14)(.5)(6)

Calculate

SA=14.39166

Then multiply by 12

The result is 172.7 sqft

Hope this helps!

I believe the correct responses are AB and AE, but I would need an image to confirm.

At a wage of 8.75 per hour, total earnings for 40 hours would be 350. Calculate overtime at 8.75 times 1.5 which equals 13.13. Then, multiply 13.13 by 12 to get $158. So the total is 350 + 158 = 508, likely around 480 after taxes for the US.

Explanation:

Step-by-step clarification:

Referring to step 6

(b² — 4ac) / 4a² = (x + b/2a)²

The mistake in the question is that it should be (x + b/2a)²

According to step 7

±√(b² —4ac) /2a = x + b/2a

The error in the question is that it should be divided by 2a, not 1a.

1. The transition from step 6 to step 7 involves taking the square roots of both sides

(b² — 4ac) / 4a² = (x + b/2a)²

Taking the square of both sides

√(b²—4ac) / √4a² = √(x + b/2a)²

√(b²—4ac) / 2a = x + b/2a

This forms step 7 correctly.

Next, subtracting b/2a from both sides

√(b²—4ac) / 2a - b/2a= x + b/2a -b/2a

√(b²—4ac) / 2a — b/2a = x

(√(b²—4ac)  — b)/2a = x

x = [—b ± √(b²—4ac)] / 2a

This gives the desired formula.

The discriminant is D = b²—4ac.