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Romashka-Z-Leto [24]

4 years ago

14

What is the sum of the interior angle measures of a regular decagon? ° What is the measure of each interior angle of a regular d

ecagon? °

2 answers:

Ymorist [56]4 years ago

7 0

Answer:

1. 1440

2. 144

Step-by-step explanation:

EDG 2020

Vlad [161]4 years ago

5 0

Answer:

Part a) The sum of the interior angle measures of a regular decagon is $1,440\°$

Part b) The measure of each interior angle of a regular decagon is $144\°$

Step-by-step explanation:

Part a)

we know that

The sum of the interior angles of a polygon is equal to

$S=(n-2)180\°$

where

n is the number of sides of a polygon

In this problem

$n=10$ ----> regular decagon

substitute

$S=(10-2)180\°=1,440\°$

Part b) What is the measure of each interior angle of a regular decagon?

If the figure is a regular polygon, then all interior angles are equal

so

Divide the sum of the interior angles by the number of sides

$1,440\°/10=144\°$

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Simplify the fractions 81/126=

trapecia [35]

Answer:

9/14

Step-by-step explanation:

81/126=9x9/9x14=9/14

5 0

3 years ago

Read 2 more answers

Need help with number 1 and explain

dexar [7]

Answer:

0

Step-by-step explanation:

If the answer is between 0 to 0.49, the best estimate is 0.

If the answer is between 0.5-1.49, the best estimate is 1.

If the answer is 1.5 or greater, the best estimate is 2.

Without giving the fractions 1/10 and 1/12 a common denominator, we know the answer is between 2/12 and 2/10.

2/12 is less than 2/10. 2/10 is 0.2, which is less than 0.5.

Since the final answer is less than 0.5, the best estimate is 0.

6 0

3 years ago

Three adults and four children must pay $85. Two adults and three children must pay $60. Find the price of the adults ticket and

kherson [118]

the price of Adults Ticket = $15

and the price of Child's Ticket = $10

Step-by-step explanation:

Let adults be x and children be y

then Three adults and four children must pay $85 can be written as:

$3x+4y= 85\,\,\,\,\,(1)$

and Two adults and three children must pay $60 can be written as:

$2x+3y=60\,\,\,\,(2)$

Solving equations 1 and 2 to find the value of x and y.

Multiplying eq(1) by 2 and eq(2) by 3

$6x+8y =170\\6x+9y=180\\-\,\,\,-\,\,\,\,\,\,\,\,\,-\\-------\\-y=-10\\y=10$

Putting value of y=10 in eq(1)

$3x+4(10)=85\\3x+40=85\\3x=85-40\\3x=45\\x=15$

So, the price of Adults Ticket = $15

and the price of Child's Ticket = $10

Keywords: Word Problems of algebraic expressions

Learn more problems about Word Problems of algebraic expressions at:

#learnwithBrainly

8 0

4 years ago

Solve m-3/7 = -5 show your work please :)

Bingel [31]

Add 3/7 to both sides

m=-5+3/7
m=-35/7+3/7
m=-32/7

6 0

4 years ago

Findf '(3), where f(t) = u(t) · v(t), u(3) =1, 2, −2, u'(3) =8, 1, 4,andv(t) =t, t2, t3.

Reika [66]

Answer:

$f'(3)=100$

Step-by-step explanation:

Given:

$f(t)=u(t)\cdot v(t)\\u(3)=\left ( 1,2,-2 \right )\\u'\left ( 3 \right )=\left ( 8,1,4 \right )\\v(t)=\left ( t,t^{2},t^{3} \right )$

To find: $f'(3)$

Solution:

$v(t)=\left ( t,t^{2},t^{3} \right )$

At $t=3;$

$v(3)=(3,3^{2},3^{3} )=(3,9,27)$

Differentiate with respect to t

$v'(t)=\left ( 1,2t,3t^{2} \right )$

At $t=3;$

$v'(3)=\left ( 1,2(3),3(3)^{2} \right )=\left ( 1,6,27 \right )$

Using product rule, differentiate $f(t)=u(t)\cdot v(t)$ with respect to $t$

$f'(t)=u'(t)\cdot v(t)+u(t)\cdot v'(t)$

At $t=3;$

$f'(3)=u'(3)\cdot v(3)+u(3)\cdot v'(3)\\=\left ( 8,1,4 \right )\cdot \left ( 3,9,27 \right )+\left ( 1,2,-2 \right )\cdot \left ( 1,6,27 \right )\\=24+9+108+1+12-54\\=100$

7 0

4 years ago