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liq [111]
3 years ago
8

The chagram shows a regular octagon joined to an equilateral triangle

Mathematics
2 answers:
Deffense [45]3 years ago
4 0

Answer:

165°

Step-by-step explanation:

marysya [2.9K]3 years ago
3 0

Answer:

x = 165°

Step-by-step explanation:

x° = 360 - (the measure of one interior angle of the octagon + the measure of one interior angle of the equilateral ∆)

Each interior angle of a regular octagon = 135° ([tex] \frac{(n - 2)180}{n} = 135°)

An equilateral ∆ has equal angles, each measuring 60°.

Therefore:

x° = 360° - (135° + 60°)

x = 360 - 195

x = 165°

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Which of the following is NOT an example of a binomial distribution?
faltersainse [42]

Answer:

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5 0
3 years ago
A circular mirror is surrounded by a square metal frame. The radius of the mirror is 5x. The side length of the metal frame is 1
Aleks04 [339]

Answer:

-25x^{2} (\pi -9)

Step-by-step explanation:

The area of the metal frame is equal to the area of the square minus the area of the circle.

The area of the square is the side length squared:

(15x)^{2}

=225x^{2}

The area of the circle is \pi r^{2}, with r being the radius:

\pi (5x)^{2}

=\pi *25x^{2}

=25\pi x^{2}

Now find the area of the metal frame:

225x^{2} -25\pi x^{2}

25x^{2} (9-\pi )   Factor out the GCF, 25x^{2}

-25x^{2} (\pi -9)   Factor out a -1

5 0
3 years ago
translate the following situation into an inequality statement . Lily has $25 to spend on a charm bracelet for her sisters birth
Solnce55 [7]

Answer:

12x+1.50y \leq 25

Step-by-step explanation:

Let

x ----> the number of bracelet

y ----> the number of charm

we know that

The inequality that represent this situation is

12x+1.50y \leq 25

8 0
3 years ago
4. An airplane at T(80,20) needs to fly to both U(20,60) and V(110,85). What is the shortest possible distance for the trip?
Alexeev081 [22]
Distance between T(80, 20) and U(20, 60) = sqrt((20 - 80)^2 + (60 - 20)^2) = sqrt((-60)^2 + (40)^2) = sqrt(3600 + 1600) = sqrt(5200) = 72.11 units

Distance between T(80, 20) and V(110, 85) = sqrt((110 - 80)^2 + (85 - 20)^2) = sqrt((30)^2 + (65)^2) = sqrt(900 + 4225) = sqrt(5125) = 71.59

Distance between U(20, 60) and V(110, 85) = sqrt((110 - 20)^2 + (85 - 60)^2) = sqrt((90)^2 + (25)^2) = sqrt(8100 + 625) = sqrt(8725) = 93.41

Therefore, shortest distance for the trip = 71.59 + 93.41 = 165 units.
4 0
4 years ago
Mikaela will invest $2,500 in an account that pays her 7.5% over 2 years. How much interest will she receive? Also, how much wil
Anika [276]

Answer:

i. $375

ii, $2875

Step-by-step explanation:

Given

Princinpal=  $2,500

rate= 7.5%

time= 2 years

Required,

The simple interest, and the final amount

Step two:

SI= PRT/100

SI= 2500*7.5*2/100

SI=37500/100

SI=$375

The simple interest is $375

And the final amount = $2,500 +$375= $2875

5 0
3 years ago
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