There's no diagram here so I can't be specific, but I've attached an image.
Answer:


Step-by-step explanation:
Represent trees with T and wreaths with W
Given


Solving (a): Cost of W
Substitute 3 + 4 * W for T in the second equation


Collect Like Terms


Divide through by 6


Hence, each wreath costs $16
Solving (b): Cost of T

Substitute 16 for W



Hence, each tree costs $67
Answer:
12 cm = 21.62 miles
6 cm = 11.04 miles
Step-by-step explanation:
To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of
and simplify.
We know
. We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write
and
We set them equal.
and
To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

and

We know that
cos²(theta)=0.21
sin²(theta)+cos²<span>(theta)=1
</span>sin²(theta)=1-cos²(theta)------> sin²(theta)=1-(0.21)-----> 0.79
sin(theta)=√0.79
sin(theta)=0.89
the answer is
the value of sin(theta) is 0.89