Answer:
<em>$4.75</em>
Step-by-step explanation:
(had) 8.25 + (deposited) 2.25 = (total) 10.50
10.50 - (withdrew) 5.75 = (total left) 4.75
Answer:
C = 75.36
A = 452.16
Step-by-step explanation:
Find the radius r by finding the distance between (12,-1) and (0,-1) using the distance formula.

The radius is 12.
So the circumference of the circle is 
So the area of the circle is 
he formula to find area of a triangle is (base × height) ÷ 2
The area of the first triangle = (6 × 2) ÷ 2 = 6
The area of the second triangle = (7 × 3) = 10.5
Total area of the logo is 6+10.5 = 16.5 cm²
Answer:
75.7°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle. You are given all three sides of the triangle, so you can make use of at least two different trig functions to find the missing angle.
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
__
<h3>cosine</h3>
The hypotenuse is 65, and the side adjacent to the unknown angle is 16. That tells you ...
cos(?) = 16/65
The inverse function is used to find the angle value:
? = arccos(16/65) ≈ 75.7°
__
<h3>tangent</h3>
The side opposite the angle of interest is 63. Then you have ...
tan(?) = 63/16
The inverse function is used to find the angle value:
? = arctan(63/16) ≈ 75.7°
_____
<em>Additional comments</em>
When using trig functions on a calculator, you need to make sure the angle mode is set to what you want. Here, we want angles in degrees, so we have set that as the angle mode. The [DEG] icon in the lower left corner of the display confirms this.
We can't tell what you're supposed to round the value to. The attachment gives enough digits for you to be able to round to whatever precision you need.
Answer:
£12.60
Step-by-step explanation:
let the cost of a child ticket be x then the cost of an adult ticket is x + 6
Sum the costs and equate to 45
x + 6 + x + 6 + 3x = 45 , that is
5x + 12 = 45 ( subtract 12 from both sides )
5x = 33 ( divide both sides by 5 )
x = 6.6
Cost of and adult ticket = x + 6 = 6.60 + 6 = £12.60