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3 years ago

Find measure of angle a.

Mathematics

1 answer:

Vladimir79 [104]3 years ago

3 0

Answer:

150

Step-by-step explanation:

First a diagram which looks like a 12 sided figure where all the sides are equal.

Now draw 2 consecutive radii.

There are 12 such triangles in a 12 sided polygon.

These triangles have an apex angle of 360 / 12 = 30 degrees.

The other two angles making up the triangle are both equal. Therefore x + x + 30 = 180

2x = 150

x = 75

But 75 is 1/2 of the interior angle. There are 2 such angles making up the interior angle 75 + 75 = 150

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adelina 88 [10]

$96

36/3 = 12

12*8=96

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3 years ago

Convert 230 Fahrenheit to celsius

Ber [7]

Answer:

110

Step-by-step explanation:

We can use the ratio from Fahrenheit to Celcius

32:0

Now just divide

230 ÷ 32

110

And That is your Celsius!

Hope this helps!

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8 0

3 years ago

maricela bought 2 1/3 pounds of bananas , 1 5/12 pounds of apples , and 3 5/6 pounds of mangoes. How many pounds of fruit did sh

damaskus [11]

Answer:

7 7/12 pounds of fruit

Step-by-step explanation:

First, add all of the whole numbers

2 + 1 + 3= 6 (save for later)

then find a common denominator between the fractions which is 12

1/3 = 4/12

5/6 = 10/12

4/12 + 10/12 + 5/12 = 19/12 or 1 7/12

now, add 1 7/12 + 6 to get you 7 7/12

hope this helps

6 0

3 years ago

Of all rectangles with area 324324, which one has the minimum perimeter? Let P and w be the perimeter and width, respectively

ra1l [238]

Answer:

For w = 18 units perimeter is minimum

P = 2(18 + w)

Step-by-step explanation:

Given;

Area of the rectangle = 324 units²

P is the perimeter

w is the width

Let L be the length of the rectangle

therefore,

P = 2(L + w) ............(1)

also,

Lw = 324

L = $\frac{324}{w}$ ..........(2)

substituting 2 in 1

P = $2(\frac{324}{w} + w)$

now,

for minimizing the perimeter

$\frac{dp}{dw}=\frac{d(2(\frac{324}{w} + w))}{dw}$ = 0

$2((-1)\frac{324}{w^2}+1)$ = 0

$(-1)\frac{324}{w^2}+1$ = 0

$(-1)\frac{324}{w^2}$ = -1

w² = 324

w = 18 units

For w = 18 units perimeter is minimum

therefore,

from 2

L = $\frac{324}{18}$

L = 18 units

objective function for P is:

P = 2(18 + w)

8 0

3 years ago

How do you solve this ?

Anettt [7]

Answer:

Nice handwriting :)

look a the attached files for the answers, I coulnt type certain symbols here so i just attached images.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers