Answer:
The number of students in each <u>van are 7</u> and number of students in each <u>bus are 23.</u>
Step-by-step explanation:
Let the number of students in each van be 'x' and number of students in each bus be 'y'.
Given:
<u>High School A:</u>
Number of students = 132
Number of buses = 3
Number of vans = 9
As per question,
-------1
<u>High School B:</u>
Number of students = 205
Number of buses = 8
Number of vans = 3
As per question,
-------2
Multiplying equation (2) by -3 and adding the result to equation (1), we get:
Now, plug in 23 for 'y' in equation (1) and solve for 'x'. This gives,
Therefore, the number of students in each van are 7 and number of students in each bus are 23
Answer:
PC = 9.6 units (nearest tenth)
Step-by-step explanation:
<u>Tangent</u>
A straight line that touches a circle at only <u>one point</u>.
The tangent of a circle is always <u>perpendicular</u> to the <u>radius</u>.
<u>Two-Tangent Theorem</u>
If two tangents to a circle meet at one exterior point, the <u>tangent segments</u> are <u>congruent</u>.
Therefore:
- Tangent segments PC and QC are <u>equal in length</u>.
- AQ is the radius of the circle, and so triangle AQC is a right triangle with ∠AQC = 90°.
Find the measure of QC by using the cos trigonometric ratio.
<u>Cos trigonometric ratio</u>
where:
- is the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
From inspection of the given diagram:
- = ∠ACQ = 29°
- A = QC
- H = AC = 11
Substitute the given values into the formula and solve for QC:
As PC = QC then PC = 9.6 units (nearest tenth).
Learn more about tangents here:
brainly.com/question/28061019
Learn more about trig ratios here:
brainly.com/question/27938163
Answer:b
=0,-17
Step-by-step explanation:
Answer:
4.78 cm
Step-by-step explanation:
The formula for the volume of a cone of radius r and height h is
V = (1/3)πr²h. Here, V = 31.254 cm³ and r = 2.5 cm.
We begin by solving V = (1/3)πr²h for the unknown height, h:
31.254 cm³ 3(31.254 cm³) 93.762 cm³
h = ------------------------ = -------------------------- = -------------------- ≈ 4.78 cm
(1/3)πr² π(2.5 cm)² 19.635 cm²