S=2(lw+lh+wh) solve for w

The sale price S (in dollars) of an item is calculated using the formula

S = L - rL, where L represents the list price (dollars) and r denotes the discount rate.

Rearranged, this becomes:

rL = L - S

and thus

r =

which simplifies to

r =

Given the shirt's list price is $30, we will compute the discount rate accordingly.

Hence, the discount rate r equals .

Response:    ∠B = 42°   ∠A = 23°  ∠F = 115°

Detailed explanation:

∠B is congruent to ∠C  alternate interior angles  42°

  ∠CDF is supplementary to ∠CDE,

thus m∠CDF = 23°  and ∠FAB is congruent to ∠CDF therefore m∠FAB= 23°

also ∠A is congruent to ∠CDE  corresponding angles  157° ∠FAB is supplementary to ∠A

which leads to 180 - 157 = 23 giving m∠FAB

The sum of angles in a triangle amounts to 180°, so m∠AFB = 180 -(23 +42)

This results in 180- 65 = 115 = m∠F

The formula for an arithmetic sequence:

We are given:

Determine d (the common difference)

Calculate a31:

Response: Therefore, the connection with i hours being the independent variable is

Serena is unable to paint 400 square feet of wall area within 3.5 hours.

Detailed explanation:

It's provided that

The area she can paint = 60 square feet

Time taken = half an hour = 30 minutes = 0.5 hours

Applying the "Unitary method, it leads to

In 0.5 hours, she is capable of painting = 60 square feet

In 1 hour, she can paint =

In i hours, she is able to paint =

Let’s denote the total area she can paint as 'y'.

Thus, the connection with i hours treated as the independent variable would be

Now,  Can Serena paint 400 square feet of wall area in 3.5 hours

Substituting y = 400 and i = 3.5 hours helps us determine if they are equivalent.

Therefore, Serena cannot paint 400 square feet of wall space in 3.5 hours.

Answer: It’s two trees

Step-by-step explanation:

Given that the city plants a tree every 20 feet along Dayton Avenue, we first need to establish the length of the side that faces Dayton Avenue.

We currently have three sides unaccounted for. However, it’s crucial to note that the side next to Dayton Avenue has the same length as the two unaccounted sides combined. This equivalence holds because both lengths include the 1 feather and 2 feather markers, confirming congruence.

Thus, the sum of both side lengths will be .

Consequently, the side next to Dayton Avenue measures

feet.

Having determined that this side is 57 feet long, we divide this length by 20 to find the tree planting intervals. Since the planting occurs only in complete 20-foot segments, if the division results in a decimal, we must round down. A tree is only planted if complete segments of 20 feet are reached.

This rounding process gives us 2.

I hope this clarifies!