Answer:
37 hours
Step-by-step explanation:
4.5 + 8.75 + 9.5 + 10 + 4.25 = 37 hours
Answer:
x^2+4x-32=0
(mid-term breaking---4 x 8=32)
x^2+8x-4x-32=0
x(x+8)-4(x+8)
x+8=0 or x-4=0
So x=+4 or x=-8
Step-by-step explanation:
Answer:
x = 30°.
Step-by-step explanation:
The dashes on the three lines indicate that the three lines are of equal lengths. The smaller triangle made out of the three lines (the one with two vertices on the circumference of the circle and one at the center of the circle) is an isosceles triangle. All three of the triangle's interior angles are 60° since it is isosceles.
The line (the one with arrows on its ends) touches the circle at only one point. That line is a tangent to the circle. That line is perpendicular to the segment that connects the center of the circle to the point of tangency. The angle between the two will be 90°.
The largest triangle includes three angles:
- The angle with the center of the circle as its vertice: 60°;
- The right angle due to the tangent to the circle: 90°;
- The angle x°.
What is the value of x?
The three interior angles of a triangle add up to 180°. As a result,
60° + 90° + x° = 180°
x = 180 - 90 - 60 = 30.
Answer:
Ac=32
Step-by-step explanation:
Answer:
B is the best answer
The question is illustrated with the attached figure.
Required
Determine XY
To solve for XY, we make use of the tan function, which states that:
tan\theta = \frac{Opposite}{Hypotenuse}tanθ=
Hypotenuse
Opposite
In this case:
tan\ 60= \frac{YZ}{XY}tan 60=
XY
YZ
Substitute 4 for YZ
tan\ 60= \frac{4}{XY}tan 60=
XY
4
Make XY the subject
XY= \frac{4}{tan\ 60}XY=
tan 60
4
tan\ 60 =\sqrt 3tan 60=
3
So, the expression becomes:
XY = \frac{4}{\sqrt 3}XY=
3
4
Rationalize:
XY = \frac{4 * \sqrt 3}{\sqrt 3 * \sqrt 3}XY=
3
∗
3
4∗
3
XY = \frac{4\sqrt 3}{3}XY=
3
4
3
