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Kobotan [32]
3 years ago
5

What type of angle is formed when the radius and a tangent intersect at the points of tangency?

Mathematics
1 answer:
PolarNik [594]3 years ago
5 0
Answer: a right angle
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Simplify the expression<br><br> (x^2 + 2x + 3)(x^2 – 2x – 2)
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Maybe its (4x+3) (-2)
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4 years ago
A company is creating a box without a top from a piece of cardboard, but cutting out square corners with side length x.
Volgvan
Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box

----------------------------------------------------
----------------------------------------------------

The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x

Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter). 

The height of the box is x inches due to this portion being folded up. 

Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x

Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed). 

6 0
3 years ago
Read 2 more answers
Zach is 3 years older than twice his sister maya’s age. let m represent maya’s age and z represent zach's age. which equation re
balu736 [363]
I hope this helps you



Maya m



Zach 2m+3
6 0
3 years ago
Find the length of the height of the right trapezoid shown below, if it has the greatest possible area and its perimeter is equa
Artyom0805 [142]

Answer:

The height of the right trapezoid is   \frac{6}{5+\sqrt{3}}\ units

Step-by-step explanation:

Let

x ----> the height of the right trapezoid in units

we know that

The perimeter of the figure is equal to

P=AB+BC+CD+DH+HA

we have

P=6\ units

AB=BC=CH=HA=x ---> because is a square

substitute

6=x+x+CD+DH+x

6=3x+CD+DH -----> equation A

<em>In the right triangle CDH</em>

sin(30\°)=\frac{CH}{CD}

sin(30\°)=\frac{1}{2}

so

Remember  that CH=x

\frac{1}{2}=\frac{x}{CD}

CD=2x

tan(30\°)=\frac{CH}{DH}

tan(30\°)=\frac{\sqrt{3}}{3}

so

\frac{\sqrt{3}}{3}=\frac{x}{DH}

DH=x\sqrt{3}

substitute the values in the equation A

6=3x+CD+DH -----> equation A

CD=2x

DH=x\sqrt{3}

6=3x+2x+x\sqrt{3}

6=5x+x\sqrt{3}

6=x[5+\sqrt{3}]

x=\frac{6}{5+\sqrt{3}}\ units

5 0
3 years ago
A ___compares the two numbers by division
____ [38]

Answer:

Ratio

Step-by-step explanation:

A ratio is a comparison of two numbers by division.

A ratio is a comparison of two numbers by division.  It compares two quantities measured in the same units.

Ratios compare two quantities measured in the same units. Ratios have no units. They are expressed as a fraction in simplest form.

7 0
3 years ago
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