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3 years ago

I really need help on this question! Thank you!

Mathematics

2 answers:

Korolek [52]3 years ago

7 0

The answer for your question is A

KIM [24]3 years ago

5 0

Answer:

Step-by-step explanation:

We know the following:

$OE=5\\\\FG=4\\\\EF=8\\\\$

so the segment EF is equal to

$EF=EG+GO+OF\\\\$

and here we can do a trick :)

$EF=(EG+GO)+GO+(OF+OG)-2GO\\\\$

you see it's the same

$EF=EO-GO+FG\\\\$

now we plug the values given

$8=5-GO+4\\\\8=9-GO\\\\GO=9-8\\\\GO=1$

so it's option A

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The floor of a gazebo is in the shape of a regular octagon. The perimeter of the floor is 72 feet. The distance from the center

Katyanochek1 [597]

The length of one side of the octagon is given by:
$L = 72/8

L = 9$
Then, the apothem can be determined using the Pythagorean theorem in the following way:
$11.8 ^ 2 = (9/2) ^ 2 + a ^ 2
$
Clearing to have:
$a ^ 2 = 11.8 ^ 2 - (9/2) ^ 2$
$a = \sqrt{11.8 ^ 2 - (9/2) ^ 2}$
$a = 10.91$
Then, the area is given by:
$A = (8) * (1/2) * (L) * (a)
$
Where,
L: length of the octagon sides
a: apotema
Substituting values:
$A = (8) * (1/2) * (9) * (10.91)

A = 392.76 feet ^ 2$
Answer:
the approximate length of the apothem is:
a = 10.91 feet
The approximate area of the floor of the gazebo is:
A = 392.76 feet ^ 2

8 0

4 years ago

Read 2 more answers

Use exact numbers. Complete the equation of the line through ( 2 , 1 ) (2,1)left parenthesis, 2, comma, 1, right parenthesis and

Anastasy [175]

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)

m = $\frac{-8-1}{5-2}$ = $\frac{-9}{3}$ = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 1) , then

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = - 3x + 7 ← equation of line

6 0

4 years ago

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Which term best describes a mathematical statement of the form shown below? If A, then B.

Solnce55 [7]

It maybe conditional statement

6 0

4 years ago

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Expand then simplify: 12(2p-3)

avanturin [10]

Answer:

expanding ends in the simplest form: 24p-36

Step-by-step explanation:

7 0

4 years ago

In a jar, there is a green, a blue, and a red marble. You draw (with replacement) a marble from the jar until you get the green

denpristay [2]

Answer:

The value is $P( X = m ) = (\frac{2}{3} )^{m-1 } * \frac{1}{3}$

Step-by-step explanation:

From question we are told that

The number of types of marbles present jar is n = 3

Generally the probability of drawing a green marble is

$P(g) = \frac{1}{3}$

Generally the probability of drawing a marble that is not green is

$P(g') = 1 - \frac{1}{3} = \frac{2}{3}$

From the question we are told that there will be continuous drawing of marbles from the jar (in such a way that after each marble is drawn it is being replaced) until a green marble drawn

Let m be the number of times marbles has been drawn when a green marble was gotten

it then means that for m - 1 times the marbles where drawn a green marble was not obtain.

Generally the probability drawing m times is mathematically is mathematically represented as

$P( X = m ) = (P(g'))^{m-1 } * P(g)$

=> $P( X = m ) = (\frac{2}{3} )^{m-1 } * \frac{1}{3}$

7 0

3 years ago