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3 years ago

Find the area of the shaded region round to the nearest tenth .

Mathematics

2 answers:

Irina-Kira [14]3 years ago

5 0

This is a regular hexagone. If you draw each vertex to the center, it will be divided into r equilateral triangle. Since each side = 8 mm, the central diagonal is equal to 16 mm (Diameter of the subscribed circle).

Area of the shaded trapezoid = (B+b),H/2
B= 16 mm
b= 8.6 mm
H = 2.8 mm

Area = [(16 + 8.6).2.8]/2 = (24.6)(1.4) = 34.44 mm²

Leviafan [203]3 years ago

4 0

200.7 I hope this is the answer

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kipiarov [429]

I think it is 64. you add all of them together and hten divide it by 6.

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4 years ago

If g(x) = 1 - ¾ x find: -5g(4) - 1

cricket20 [7]

Answer:

-5g(4) - 1 is 9

Step-by-step explanation:

$g(x) = 1 - \frac{3}{4} x$

when x is 4:

$g(4) = 1 - \frac{3}{4} \times 4 \\ = 1 - 3 \\ = - 2$

therefore:

$- 5g(4) - 1 = - 5( - 2) - 1 \\ = 10 - 1 \\ = 9$

5 0

3 years ago

Read 2 more answers

Twelve less than a number is 50.

Katen [24]

Answer:

Step-by-step explanation:

another way to write this is

x - 12 = 50

the answer is 62

62 - 12 = 50

7 0

3 years ago

I NEED HELP PLEASE, THANKS! :)

Alenkasestr [34]

Answer:

Option A

Step-by-step explanation:

This is a great question!

The first thing we want to do here is to graph the system of " inequalities " -

$\begin{bmatrix}2x+9y\le \:100\\ 9x+y\le \:54\end{bmatrix}$

As x is ≥ 0, respectively y ≥ 0, it makes things a lot simpler, as it kind of restricts us to quadrant 1, but not entirely.

First change each inequality to " slope - intercept " form, as such -

$2x + 10y \leq 100,\\10y \leq 100 - 2x,\\y \leq - 1 / 5x + 10\\----------\\9x + y \leq 54,\\y \leq - 9x + 54$

The graphed solutions would be in the attachment. I have colored the region with which the two intersect, and the fact that we are limited to quadrant 1. In this colored region there are 3 major points, ( 5, 9 ), ( 0, 10 ), and ( 6, 0 ). We have to determine which of these are are maximum points, as the minimum are the same. Substitute these values ( ( 5, 9 ), ( 0, 10 ), and ( 6, 0 ) ) into the equation f( x, y ) = 10x + 4y,

$f ( x, y ) = 10( 5 ) + 4( 9 ),\\f ( x, y ) = 86 -\\f ( x, y ) = 10( 0 ) + 4( 10 ),\\f ( x, y ) = 40 -\\f ( x, y ) = 10( 6 ) + 4( 0 ),\\f ( x, y ) = 60$

( 5, 9 ) resulted in the greatest amount, 86. That would make it our maximum point -

Solution = Option A

3 0

3 years ago

It's said to say my question, but it's in the pic, so I don't know what to say. But thanks

BARSIC [14]

Answer: A, or 0.2x

Step-by-step explanation:

To figure how expressions and percent's match up, replace the x with an easy number. For example, I use 4.

20% of 4 is 0.8, and 4 x 0.2 is also 0.8

Therefore, the expression to represent that percentage is A.

Also, the other answers were WAYYY off.

B, or x - 20 is flawed since x could be anything.

C, is also flawed in the same way.

And D makes -76.

A is the only sensible one and is proven to work.

Hope this helped!

-Nick

3 0

3 years ago