Answer:
10.6
Step-by-step explanation:
sin theta = opposite side/ hypotenuse
sin 62 = x/12
Multiply each side by 12
12 sin 62 =x
10.59537111 =x
Rounding to the nearest tenth
10.6 =x
Answer:
The graph has 1 x-intercept
Step-by-step explanation:
Given
Required
- Discriminant of f
- Number of x intercepts
Let D represent the discriminant;
D is calculated as thus
Where a, b and c are derived from the following general format;
By comparing with
We have
Solving further;
So, D can now be calculated;
becomes
Hence, the discriminant of f is 0
From the value of the discriminant, we can determine the number of x intercepts of the graph;
When D = 0, then; there exists only one x-intercept and it as calculated as thus
Recall that
So, becomes
Answer:
3.928 units.
Step-by-step explanation:
We know that L, Ф, R are related to each other by the equation
L = RФ, where Ф is in the Radian unit. .... (1)
Now, the area of a circle is given to be πr² =25π, ⇒ r =5 units
And also given that Ф =π/4
Hence, length of the arc (L) =5× = =3.928 units. (Answer)
Step-by-step explanation:
since the other angles are equal to each other, both triangles, TQR and TSR, are identical. they are just oriented differently.
but that also means that both angles, Q and S, are identical too.
so,
2x² = 3x² - 64
64 = x²
x = 8
and therefore, both angles are 128°.