We are given a rain gutter made from folding a 12 inch wide aluminum sheet to an angle theta. The area of the opening is expressed as A(Θ) = 16 sin Θ (cos Θ + 1) where Θ = 45°. we can just substitute directly the angle in degrees mode in the calculator and the answer is equal to 19.32 inches2.

5 0

3 years ago

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On the morning of the sale, the store donated 50 pairs of shoes to a homeless shelter. Then they sold 64% of their remaining inv

jekas [21]

Answer:

850.

Step-by-step explanation:

Let the number at the start be x shoes. Then:

x - 50 - 0.64(x - 50) = 288

x - 0.64x - 50 + 32 = 288

0.36x = 288 + 50 - 32

0.36x = 306

x = 306/0.36 = 850.

6 0

2 years ago

Addison's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 70 espressos in all

Valentin [98]

Answer:

The number of single-shot espressos sold by the cafe was 49.

Step-by-step explanation:

It is provided that Addison's Cafe offers two kinds of espresso: single-shot and double-shot.

Total number of espressos sold by the cafe yesterday afternoon was,

N = 70

The proportion of single-shot espresso sold was, p = 0.70.

Let X = number of single-shot espressos sold.

Compute the number of single-shot espressos sold by the cafe as follows:

$E(X)=N\times p$

$=70\times 0.70\\=49$

Thus, the number of single-shot espressos sold by the cafe was 49.

6 0

2 years ago