13°. The value of theta using right triangle Trigonometry is 13°.
The reasons for the sides of a right triangle are called trigonometric ratios. Three common trigonometric ratios are: sine (sin), cosine (cos) and tangent (tan). These are defined for the acute angle θ as follows:
Sin θ = opossite leg/hypotenuse
Cos θ = adjacent leg/hypotenuse
Tan θ = opossite leg/adjacent leg
The easiest way to solve this proble is using the reason sin θ = opossite leg/hypotenuse, where opossite leg = 11, and hypotenuse = 58.
sin θ = 11/48
θ = sin⁻¹ (11/48)
θ = 13.25°
Round to the nearest degree θ = 13°
Answer:
Mary 81
Sandy 30
Step-by-step explanation:
S-3=M/3
multiply by 3
3s-9=m
m=81
3s-9=81
add 9
3s=90
divide by 3
s=30
Answer:
A
Step-by-step explanation:
y = x² - 6x - 4
(x - 3)² - 3² - 4 = 0
(x - 3)² - 13 = 0
(x - 3)² = 13
x - 3 = ±√13
x = 3 ± √13
Using translation concepts, the equation of the graph of f(x) is given as follows:

<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Function f(x) is a shift right of one unit of the square root function, hence x -> x - 1 and the equation is given by:

More can be learned about translation concepts at brainly.com/question/4521517
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-12=4(x-7)-8x
One solution was found :
x = -4
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-12-(4*(x-7)-8*x)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
-12 - (4 • (x - 7) - 8x) = 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
4x + 16 = 4 • (x + 4)
Equation at the end of step 3 :
4 • (x + 4) = 0
Step 4 :
Equations which are never true :
4.1 Solve : 4 = 0
Hope this helps you, Have a nice day.