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°
Answer:
Step-by-step explanation:
(a)
3 ft long when divided into half ft each will be
3ft ÷1/2 ft
We change the ÷ to × then the second part is reciprocated hence
3ft÷1/2= 3ft×2/1=6 pieces
(b)
The question requires us to get the differences. Initially, Phil makes 3 quarts of soup but the family takes only half of the original quantity to mean Phil remains with the other half.
Therefore, half of 3 is 3×1/2=3/2= 1.5 or 1 1/2
(c)
Hiding 3 pounds of gold into two equal sections means 3 is divided by 2
3÷2=1.5 or 1 1/2
(d)
If half, 0.5 represent 3 cups then full quantity represent x
0.5=3 cups
1=x
By cross multiplication
1*3/0.5=6
Answer:
Step-by-step explanation:
Difference of x-coordinates = -6-8 = -14
Difference of y-coordinates = 2-2 = 0
Distance = √((-14)^2+0^2) = 14
Answer:
reflection, then translation
Step-by-step explanation:
<em> just took the quiz on edge 2020</em>
Answer: y = 3
Step-by-step explanation: You're given x, find y.
- -2(-3) + 3y = 12 (substitute in for x)
- 6 + 3y = 12 (multiply)
- 3y = 9 (divide both sides by 3)
- 3 = y