Answer:
Choice B is correct
Step-by-step explanation:
We apply the rule of exponents;
Answer:
<em>x=33.9°</em>
Step-by-step explanation:
<u>Trigonometric Ratios</u>
In a right triangle, i.e. the triangles that have an internal angle of 90°, the so-called trigonometric ratios are valid.
There are six trigonometric ratios that can be used in right triangles, depending on the data available for each problem.
The current question gives us two sides in a right triangle and requires us to calculate the angle x.
The angle x 'looks' at the sides of the triangle in this way: RS=70 is the adjacent leg, SQ=47 is the opposite leg, and RQ is the hypotenuse.
We should use the trigonometric ratio that relates both the adjacent and the opposite led. There are two possibilities: The tangent and the cotangent. We'll use the tangent for no particular reason.
The tangent of an angle is defined as:
Use the given values:
Using a calculator (in degree mode), we calculate the angle:
x=33.9°
1 5/6 + 2 1/5
3 + 5/6 + 1/5
3 + 25/30 + 6/30
3 + (25 + 6) / 30
3 + 31/30
3 + 1 1/30
4 1/30
The answer is: 4 1/30 or 4.0333.
The length of each side of the larger square is 8 cm.
<u>Step-by-step explanation</u>:
Step 1 ;
- The combined area of two squares = 80 sq.cm
- The side of small square = x
- The side of larger square = 2x
Step 2 :
Area of the square = a^2
Area of small square + area of large square = 80
x^2 + (2x)^2 = 80
x^2 + 4x^2 = 80
5x^2 = 80
x^2 = 80/5
x^2 = 16
x = ±4
Step 3 :
Since length cannot be negative, the value of x= 4
∴ The length of the side of small square = 4cm
The length of the side of larger square = 2x = 8cm
Answer:
32
Step-by-step explanation: