Adecorative pillow is being sewn and the pattern for the material to make the pillow can
be modeled by a abc, in which ac = 10 inches, ab = 9 inches, bc = 15 inches, and
what is the area of the pattern, rounded to the nearest tenth?
the area of the pattern is
square inches

The area of the pattern is 43.6 inches²

Step-by-step explanation:

* Lets explain how to solve the problem

- A decorative pillow can be modeled by Δ ABC

- In Δ ABC: AB = 9 inches , BC = 15 inches , AC = 10 inches

- To find the area of the triangle we can use the rule:

  A = 1/2 × (AB) × (BC) × sin∠B

- We will use the cosine rule to find the measure of angle B

∵

∵ AB = 9 , BC = 15 , AC = 10

∴

∴ m∠B = °

* Lets find the area of the triangle

∴ The area = 1/2 × (9) × (15) × sin(40.27) = 43.6 inches²

* The area of the pattern is 43.6 inches²

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

536

step-by-step explanation: