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3 years ago

The segments in each figure are tangent to the circle. Find each length.

Mathematics

1 answer:

zubka84 [21]3 years ago

3 0

The tangents are equal length, so
.. 8x = x^2
We presume their length is not zero, so we can divide by x to get
.. 8 = 2x
.. 4 = x

Then the length of each tangent is 8*4 = 32 units.

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2 years ago

Could I get some help?

balandron [24]

Answer:

#adult tickets sold = 346

#student tickets sold = 812

Step-by-step explanation:

let 'x' = # adult tickets sold

let 'y' = # students tickets sold

System of Equations:

x + y = 1158

5x + y = 2542

I used the elimination method and multiplied the first equation by -1

-x - y = -1158

+<u> 5x + y = 2542</u>

4x = 1384

x = 346

346 + y = 1158

y = 812

4 0

2 years ago

Find the area of the irregular figure. Round to the nearest hundredth.

RSB [31]

Answer:

$67.5\text{ [square units]}$

Step-by-step explanation:

The composite figure consists of one rectangle and two triangles. We can add up the area of these individual shapes to find the total area of the irregular figure.

<u>Formulas</u>:

Area of rectangle with base $b$ and height $h$ : $A=bh$
Area of triangle with base $b$ and height $h$ : $A=\frac{1}{2}bh$

By definition, the base and height must intersect at a 90 degree angle.

The rectangle has a base of 10 and a height of 5. Therefore, its area is $A=10\cdot 5=50$ .

The smaller triangle to the left of the rectangle has a base of 2 and a height of 5. Therefore, its area is $A=\frac{1}{2}\cdot 2\cdot 5=5$ .

Finally, the larger triangle on top of the rectangle has a base of 5 and a height of 5. Therefore, its area is $A=\frac{1}{2}\cdot 5\cdot 5=12.5$ .

Thus, the area of the total irregular figure is:

$50+5+12.5=\boxed{67.5\text{ [square units]}}$

7 0

3 years ago

Plz help asap with explanation and will get the brilliant

Elina [12.6K]

3x + y = -3
-2x + y = 7
Use elimination method
Subtract both equations
5x = -10, x = -2
Plug in -2 for x (any equation)
3(-2) + y = -3
-6 + y = -3
y = 3

Solution: x = -2, y = 3
Or as a coordinate: (-2, 3)

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