UDD Question 6 10 pts Solve for x. Round to the nearest tenth (one decimal place). Just type the number, no unit of measurement.
G X 240 DI F 48 Next * Previous
1 answer:
Answer:
The answer is;
54.4
Step-by-step explanation:
The given parameter are;
Triangle ΔFGH = Right triangle
The length of segment = 48
The measure of ∠HFG = 28°
The measurement required = The measure of segment = x
The measure of ∠FHG = 90° angle opposite hypotenuse side of a right triangle
Therefore, ∠FGH = 180° - ∠HFG - ∠FHG = 180° - 90° - 28° = 62°
∠FGH = 62°
By sine rule, we have;
/(sin ∠FGH) =
/(sin(∠FHG)
By substituting the known values, we have;
48/(sin 62°) = x/(sin(90°)
sin(90°) = 1, therefore, we have;
x/1 = x = 48/(sin 62°) = 54.4 (by rounding the answer to the nearest tenth)
x = 54.4
You might be interested in
<h2>Answer</h2>
Cost of lectures = $7.33 per hour
<h2>Explanation</h2>Let the cost of the exam hours
Let be the cost of the workshop hours
Let be the cost of the lecture hours.
We know from our problem that exam hours cost twice as much as workshop, so:
equation (1)
We also know that workshop hours cost twice as much as lecture hours, so:
equation (2)
Finally, we also know that 3hr exams 24hr workshops and 12hr lectures cost $528, so:
equation (1)
Now, lets find the value of :
Step 1. Solve for in equation (3)
equation (4)
Step 2. Replace equation (1) in equation (4) and simplify
equation (5)
Step 3. Replace equation (2) in equation (5) and solve for
Cost of lectures = $7.33 per hour
Answer:
Area of Circle A = 1133.54
Circumference of Circle A= 119.32
Step-by-step explanation:
Given: Sum of both circle diameters= 49 feet.
Circle A radius= Three feet less than twice the diameter of circle B.
Lets assume diameter of Circle B is "x"
∴ Circle A radius (r)=
We know, the diameter of circle is
Diameter of Circle A is
Next as given sum of both circle diameter is 49 feet.
∴
distributing 2 with 2x and -3
⇒
⇒
Adding both side by 6
⇒
Cross multiplying both side.
⇒
∴ Diameter of circle B is 11 feet.
Next, subtituting the value of x to get the value of radius for Circle A.
Radius of circle A=
⇒ Radius of circle A=
∴ Radius of circle A= 19 feet.
Area of circle=
Taking π= 3.14
Area of circle A=
∴ Area of circle A= 1133.54
Circumference of circle= 2πr
Circumference of Circle A=
∴ Circumference of Circle A= 119.32