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tigry1 [53]
3 years ago
5

1

Mathematics
1 answer:
fredd [130]3 years ago
6 0
Hi there I know the answer but it was confusing so it has to be D or B
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What radius of a circle is required to inscribe a square with an apothem of 3.536 inches?
prisoha [69]

Answer:

The radius of the circle required is 5 inches

Step-by-step explanation:

we know that

The diagonal of the square is the diameter of the circle

The length side of the square is half the apothem

Let

a ----> the apothem

r ---> the radius of the circle (half the diagonal of the square)

Applying the Pythagorean Theorem

r^2=a^2+a^2

we have

a=3.536\ in

substitute

r^2=3.536^2+3.536^2

r^2=25\\r=5\ in

7 0
4 years ago
Read 2 more answers
What is the length of AB
Anettt [7]

Answer:

\boxed{\boxed{\overline{AB}=16}}

Step-by-step explanation:

In the triangle ABC, m∠ABC=90°. Hence, it is right angle triangle.

\tan \theta=\dfrac{p}{b}=\dfrac{AB}{64}  --------1

In the triangle ABD, m∠ABD=90°. Hence, it is right angle triangle.

\cot (90-\theta)=\dfrac{b}{p}=\dfrac{4}{AB}

As \cot (90-\theta)=\tan \theta, so

\tan \theta=\dfrac{b}{p}=\dfrac{4}{AB}  ---------2

From equation 1 and 2,

\Rightarrow \dfrac{AB}{64}=\dfrac{4}{AB}

\Rightarrow AB^2=64\times 4

\Rightarrow AB^2=256

\Rightarrow AB=\sqrt{256}

\Rightarrow AB=16


5 0
3 years ago
5. Find the solutions of x^2 – X-30 = 0.<br><br> please show work on how to do it
erica [24]

Answer:

x=6, x= -5

Step-by-step explanation:

Factor the equation

x^2 - x - 30 = 0 ----> (x-6)(x+5)=0

Next find the solution by setting those in the paranthesis equal to zero.

x-6=0 ----> x= 6

x+5=0 ----> x= -5

8 0
3 years ago
Read 2 more answers
Simplify (3x + 1)2 using the square of a binomial formula.
nika2105 [10]

Answer:

B) 9x² + 6x + 1

Step-by-step explanation:

(3x + 1)^2

(3x + 1) • (3x + 1)

9x² + 3x + 3x + 1

9x² + 6x + 1

4 0
3 years ago
Find a​ point-slope form for the line with slope 1/5 and passing through the point ​(-7​,-6​).
KiRa [710]
The equation for this would be:
y+6= 1/5(x+7)
5 0
3 years ago
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