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ruslelena [56]
3 years ago
12

What is the value of the expression below when z = 6? z² + 32-3

Mathematics
1 answer:
professor190 [17]3 years ago
5 0

Answer:

65

Step-by-step explanation:

z=6

1) 6*6=36

2) 36+32=68

3) 68-3=65

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A regular hexagon is circumscribed about a circle with a radius of 6. Find the area of the shaded region shown. Give the exact a
Alecsey [184]

Answer:

19.58 unit²

Step-by-step explanation:

To find the area of the shaded region, we use the formula:

A_{shaded}=A_{circle} - A_{hexagon}\\\\

As we know that,

A_{circle} = \pi r^2 = \pi 6^2

           =36πunit²

   

Next is to split up the hexagon into 6 regular triangles.

A_{hexagon} = 6. A_{triangle}

               =6 x \frac{1}{2} bh

the base is equal to the radius i.e 6 as the triangles are regular.The height can be represented by taking one of the triangles and drawing a line down the middle.

So, the newly formed triangle is a 30°-60°90° right triangle.

(see figure 1 in attachment)

Here, a= 6/2=> 3

h= a√3 => 3√3

Substituting the required values in the formula of area of hexagon, we get

A_{hexagon}= 6.\frac{1}{2}.6.3\sqrt{3} => 54√3unit²

A_{shaded}=A_{circle} - A_{hexagon}\\\\

           =36π-54√3

            = 19.58 unit²  

4 0
3 years ago
Look at the picture
IRISSAK [1]

Answer:

x = 10

Step-by-step explanation:

In the last step, you can see that the fraction \frac{1}{5} has been multiplied by its reciprocal \frac{5}{1}, making it cancel out. The reciprocal has been multiplied to both sides, so all you need to do is multiply \frac{6}{3} · \frac{5}{1} :

6 · 5 = 30

3 · 1 = 3

<u><em>So now you should have the fraction:</em></u>

x = \frac{30}{3}

<u><em>But, you can still simplify the fraction by dividing 30 by 3:</em></u>

x = 10

7 0
3 years ago
Is 4/5 greater than 9/19
ExtremeBDS [4]
Yes. I just did this question on a test actually
5 0
2 years ago
a plumber charges $55 for a service call plus $35 per hour. if the plumber’s bill was $160, how many hours was he there?
Allushta [10]
He was there for 3 hours cause 3 x 35 = 105 but 105 + 55 = 160
5 0
3 years ago
Read 2 more answers
Which step should be performed first when simplifying 25 − (14 − 8) + 3 × 2?
Vanyuwa [196]

Answer:

(14-8)

Step-by-step explanation:

Heres why:

Pedmas

P= Parenthesis

E=Exponents

D=Division

M=Multiplication

A=Addition

S= Subtraction

Do that in order.

7 0
3 years ago
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