The height of the isosceles triangle is 8.49 inches.
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How to find the height of the triangle?</h3>
Here we have a triangle such that two of the sides measure 9 inches, and the base measures 6 inches.
So this is an isosceles triangle.
We can divide the isosceles triangle into two smaller right triangles, such that the side that measures 9 inches is the hypotenuse, the base is 3 inches, and the height of the isosceles triangle is the other cathetus.
By Pythagorean's theorem, we can write:
(9in)^2 = (3 in)^2 + h^2
Where h is the height that we are trying to find.
Solving that for h we get:
h = √( (9 in)^2 - (3in)^2) = 8.49 inches.
We conclude that the height of the isosceles triangle is 8.49 inches.
If you want to learn more about triangles:
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Answer:
u = 3
Step-by-step explanation:
I hope I've helped you.
Answer: 320°
Step-by-step explanation:
This is a circle geometry.
The arc length of the circle is given to be 8πcm and the radius is 4.5cm.
Now the length of an arc of a circle is
Arc length = πr0°/180° or 2πr0°/360°
To find the angle 0° subtend at the center we equate the arc length with the formula and solve for 0°.Now we go
πr0°/180 = 8π, convert to a simple linear equal and solve for the angle.
πr0° = 8π × 180
0°. = 8π × 180
-----------
π × r
= 8 × 180. 8 × 180
-------- or ---------
9/2. 4.5
= 8 × 180 × 2
------------
9
= 8 × 20 × 2
= 320°
or 8 × 180/4.5
= 1440/4.5
= 320°
Answer:
x = 3/4
y = 2.5
Step-by-step explanation:
No there is just one.
Equate the ys
-2/3 x + 3 = 2/3 x + 2 Add 2/3 x to both sides
3 = 2/3 x + 2/3x + 2 Combine
3 = 4/3 x + 2 Subtract 2
3-2 = 4/3 x Multiply by 3
1 * 3 = 4x Divide by 4
3/4 = x
====================
y = 2/3 x + 2
y = 2/3 * 3/4 + 2
y = 6/12 + 2
y = 1/2 + 2
y = 2 1/2
y = 2.5
From a reliable source, the maximum capacity of a standard bus used as school bus is 72 students. Because the bus that Mr. Tuttle drives is already 3/4 full, only 1/4 of the capacity is unoccupied. With this, the number of the empty seats is calculated by multiplying 72 by 1/4 as shown below.
empty seats = (1/4)(72) = 18
Therefore, the bus could have accommodated 18 more students.
