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Shalnov [3]
3 years ago
11

(05.03)Calculate the area of the regular pentagon below: A regular pentagon with side length of 22.3 inches and dotted line from

center to middle of side of 15.4 inches.
Mathematics
2 answers:
Marat540 [252]3 years ago
5 0

Answer:

The area of the regular pentagon is A=858.55\ in^{2}

Step-by-step explanation:

we know that

The area of a regular polygon is equal to

A=\frac{1}{2}Pa

where

P is the perimeter of the regular polygon

a is the apothem

Find the perimeter P

P=5(22.3)=111.5\ in ----> the regular pentagon has five equal sides

a=15.4\ in ---> distance from center to middle of side

substitute

A=\frac{1}{2}(111.5)(15.4)

A=858.55\ in^{2}

olga nikolaevna [1]3 years ago
5 0

Answer:

A=858.55\ in^{2}

Step-by-step explanation:

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Please anyone help ???? Please help me !!!!
baherus [9]

Answer:

B

Step-by-step explanation:

(1/2) * (2 x - 6) (x - 2)

is equivalent to

x^2 - 5 x + 6

4 0
2 years ago
What is an equation of the line that passes through (-2,3) and is parallel to y=5x + 4.Give your answer in slope intercept form
9966 [12]

Answer:

y= 5x+13

Step-by-step explanation:

<u>Slope- intercept form</u>

y= mx +b, where m is the gradient and b is the y-intercept.

Parallel lines have the same gradient.

y= 5x +4

Gradient of given line= 5

Thus, gradient of line= 5

Subst. m=5 into the equation.

y= 5x +b

To find the value of b, substitute a coordinate

When x= -2, y=3,

3= 5(-2) +b

3= -10 +b

b= 3 +10 <em>(</em><em>+</em><em>1</em><em>0</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

b= 13

Thus, the equation of the line is y= 5x +13.

8 0
3 years ago
Which term best describes a proof in which you assume the opposite of what u want to prove​
ANTONII [103]

Answer:

The Latin phrase is "reduction ad absurd um", meaning reduction to absurdity. You assume the opposite and show that logically it leads to a contradiction and therefore cannot be true.

Hope this helps.

8 0
2 years ago
A study of 40 English composition professors showed that they spent, on average, 13 minutes correcting a student's term paper. T
photoshop1234 [79]

Answer:

a)

90% confidence interval for the mean grading time of all composition papers.

(12.47981 , 13.52019)

b)

Appropriate inequality

The interval is  ( 12.47981 < μ < 13.52019)

Step-by-step explanation:

<u><em>Explanation</em></u>:-

a)

Given sample size 'n' = 40

Mean of the sample = 13 minutes

standard deviation = 2 min

level of significance = 0.10 or 90%

90% confidence interval for the mean grading time of all composition papers.

( x^{-} - Z_{0.1} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.10} \frac{S.D}{\sqrt{n} } )

 ( 13 - 1.645 \frac{2}{\sqrt{40} } , 13 +1.645 \frac{2}{\sqrt{40} } )

( 13 - 0.52019 , 13 + 0.52019)

(12.47981 , 13.52019)

b)

The interval is  ( 12.47981 < μ < 13.52019)

7 0
3 years ago
What is an explicit formula for the geometric sequence 64,16,4,1,... where the first term
olya-2409 [2.1K]

Answer:

A

Step-by-step explanation:

The explicit formula for a geometric sequence is

f(n) = f(1) (r)^{n-1}

where f(1) is the first term and r the common ratio

Here f(1) = 64 and r = \frac{f(2)}{f(1)} = \frac{16}{64} = \frac{1}{4} , then

f(n) = 64 (\frac{1}{4}) ^{n-1} → A

7 0
2 years ago
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