EVELYN HAD 9 DOLLS, BUT SHE LOST 1/3RD OF THEM AT DAYCARE. HOW MANY TOTAL DOLLS WOULD EVELYN HAVE HAD IF SHE HAD NOT LOST THEM?

The yearly sales total for mattresses equals 1,330.

The percentage of King size mattresses sold is 30% = 30/100 = 0.3

Now, we need to find the actual sales number using the following formula:

King size mattresses sold = Total mattresses sold in a year * Percentage of King size mattresses sold

King size mattresses sold = 1,330 * 0.3 = 399

King size mattresses sold = 399

Answer:

5 miles in total

Step-by-step explanation:

Given:

Time spent driving = 10 min = 10 / 60 = 1/6 hour

Duration of stop = 5 min

Driving speed = 30 miles per hour

Find:

Complete distance

Computation:

Distance traveled = Speed × time

Distance = 30 × (1/6)

Total distance = 5 miles

Answer:

The ratio   corresponds to the tangent of ∠I.

Step-by-step explanation:

Let’s revisit the trigonometric ratios:

• sin Ф =  
• cos Ф =  
• tan Ф =  

For triangle HIJ

∵ m∠J = 90°

- The hypotenuse is the side opposite the right angle.

So, HI is the hypotenuse.

∵ HJ = 3 units

∵ IH = 5 units

- We’ll apply the Pythagorean Theorem to solve for HJ.

∵ (HJ)² + (IJ)² = (IH)²

∴ 3² + (IJ)² = 5²

∴ 9 + (IJ)² = 25

- Subtract 9 from both sides.

∴ (IJ)² = 16

- Taking the square root on both sides gives:

∴ IJ = 4 units

To determine the tangent of ∠I, identify the sides that are opposite and adjacent to it.

∵ HJ is opposite to ∠I

∵ IJ is adjacent to ∠I

- Utilizing the rule of tan above:

∴ tan(∠I) =

∴ tan(∠I) =

The ratio indicates the tangent of ∠I.

The possible sets of integers that yield a product of -11 include (-1, 1, 11), (-11, -1, -1), and (-11, 1, 1). An integer can be understood as a whole number encompassing zero, both positive and negative values. Given that the product should equal −11, and knowing the factors of 11 are 1 and 11, we conclude with the different possible integer combinations.