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:
4
Step-by-step explanation:
Answer:
The company sold 100 widgets and 250 gizmos.
Step-by-step explanation:
Let
be the number of widgets sold and
be the number of gizmos sold.
We are told that the company sold 350 items. We can represent this information in an equation as:

We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.
We can represent this information in an equation as:

From equation (1), we will get:
Substitute this value in equation (2):







Therefore, the company sold 100 widgets.
Substitute
in equation (1):



Therefore, the company sold 250 gizmos.
Answer:
The answer would be (1.23, 4.39)
Step-by-step explanation:
Because they are both equal to y, we can set the equations equal to each other and then solve.
4.9x - 1.64 = -0.25x + 4.7
5.15x - 1.64 = 4.7
5.15x = 6.34
x = 1.23
Now that we have the value for x, we can plug into either equation and find y.
y = -0.25x + 4.7
y = -0.25(1.23) + 4.7
y = -.31 + 4.7
y = 4.39
Answer:
No. it would be 4 3/14
Step-by-step explanation:
5-1=4
common denominator is 14 to get there,
1x7=7
2x7=14
2x2=4
7x2=14
7/14 - 4/14 = 3/14
put it all back together and you get 4 3/14