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4 years ago

Who can help me please

Mathematics

1 answer:

aalyn [17]4 years ago

5 0

1.) 32
2.)42
3.)67
4.)78
5.) 13
6.)67
7.)23
8.80

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Find the area of the regular polygon. Round to the nearest tenth.

mojhsa [17]

Given:

Side length = 12 in

To find:

The area of the regular polygon.

Solution:

Number of sides (n) = 6

Let us find the apothem using formula:

$$a=\frac{s}{2 \tan \left(\frac{180^\circ}{n}\right)}$

where s is side length and n is number of sides.

$$a=\frac{12}{2 \tan \left(\frac{180^\circ}{6}\right)}$

$$a=\frac{6}{ \tan (30^\circ)}$

$$a=\frac{6}{ \frac{1}{\sqrt{3} }}$

$$a=6\sqrt{3}$

Area of the regular polygon:

$A=\frac{1}{2}(\text { Perimeter })(\text { apothem })$

$$A=\frac{1}{2}(6 \times 12)(6\sqrt{3} )$

$$A=\frac{1}{2}(72)(6\sqrt{3} )$

$A=216 \sqrt{3}$

$A=374.1$ in²

The area of the regular polygon is 374.1 in².

4 0

3 years ago

Brenda is cooking couscous. The recipe says she requires 480 grams of couscous for 4 people. How many will she need for 14?

alexgriva [62]

Answer:

$1,680\ g$

Step-by-step explanation:

we know that

Brenda requires 480 grams of couscous for 4 people

using proportion

Find out how many grams of couscous she requires for 14 people

Let

x -----> the amount of grams

$\frac{480}{4}\frac{g}{people}=\frac{x}{14}\frac{g}{people} \\\\x=14*480/4\\\\x=1,680\ g$

4 0

3 years ago

A recipe for 24 cookies calls for 4 tablespoons of sugar. If you make 40 cookies and use 5 tablespoons, will the cookies taste t

uranmaximum [27]

Answer:

Step-by-step explanation:

No, because they wouldn't contain the same amount of sugar per cookie

for the first recipe - 24 cookies with 6 tablespoons

thats 6/24 so 0.25 tablespoons of sugar per cookie

for the second recipe - 36 cookies with 10 tablespoons

thats 10/36 so 0.276 tablespoons per cookie

the cookies in the second recipe would be slightly sweeter than the cookies in the first

5 0

3 years ago

Read 2 more answers

Please answer this question!! 30 points and brainliest!

murzikaleks [220]

Answer:

D. 2x^2-7x.

Step-by-step explanation:

Lets write it out to make it easy to work with.

-x(-2x+7)

Multiply the -x out

2x^2-7x.

The answer is D

4 0

3 years ago

Hi help me please, I can't seem to figure this one out

Nastasia [14]

Answer:

x= 2.73cm

For the same angle we just work out 1cm first.

a^2+ b^2= c^2

0.82^2 + b^2 = 1^2 = changing to units 10

6.724 + b^2 = 10

10-6.724 = 2.276

Then x 3 and change units down by 10= 0.6828

Step-by-step explanation:

Below shows why we must convert to mm from cm

a^2+ b^2= c^2

0.82^2 + b^2 = 1^2 =

0.6724 + b^2 = 1

1 - 0.6724 = b = 0.2276

0.2276 x 3 = 0.6828 cm

7 0

3 years ago