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Leokris [45]
3 years ago
5

Given the diagram shown below, which of the following best represents the distance from the school to the library?

Mathematics
1 answer:
White raven [17]3 years ago
7 0
Use the sine theorem:

sin(angle A) / length of side a = sin (angle B) / lenght of side b

Here:

angle A = 32°

length of side a = length from school to library = x

angle B = 110°

length of side b = 2.2 mi

Then, sin(32°) / x = sin(110°) / 2.2 mi

=> x = 2.2 mi * sin (32) / sin (110)

x = 1.24 mi

Therefore the answer is the option B. 1.2 mi
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Show algebriacally that the sum of two consecutive numbers is always odd
egoroff_w [7]
X + (x+1) =  2x+1
Here, 2x+1 is always odd
  For example the value of x is 2 then we can say that,
x=2; x+1=3; 2x+1 = 5 <u>[odd number(5)]</u>
= 2 + 3 = 5

<em>Please note that the bolded words are only for your better understanding</em>

HOPE IT HELPS!
3 0
3 years ago
find the circumference and the area of the circle with the radius 9m use the value 3.14 for it do not round your answer be sure
kirill [66]

Explanation:

The circumference and the are of a circle with radius r

are:

\begin{gathered} A=\pi r^2 \\ C=2\pi r \end{gathered}

If we use pi = 3.14 and the radius is 9m:

A=3.14\cdot(9m)^2=3.14\cdot81m^2=254.34m^2C=2\cdot3.14\cdot9m=56.52m

Answers:

• Area: ,254.34 m²

,

• Circumference: ,56.52 m

7 0
1 year ago
The straight line 3x + 4y = 24 cuts the y - axis at the point A and cuts the x - axis at the point B. What is the distance AB?​
Simora [160]

Step-by-step explanation:

the answer is in the above image

6 0
3 years ago
PLZZ HELP MEEEE
Kisachek [45]

Answer:

Step-by-step explanation:

lol i think 800 m imao if im not corecct

8 0
3 years ago
The negation of which property leads to a logically consistent geometry called spherical geometry?
RSB [31]
Euclid's fifth postulate states, rather wordily, that:

<em>if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, </em><span><em>the two straight lines, if produced indefinitely, meet on that side </em><em>on</em><em> which are the angles less than the two right angles.
</em></span>
<em />If that sounds like a mouthful to you, you're not alone. Geometers throughout history found that postulate incredibly awkwardly-worded compared with his other four, and many in the 19th century rejected it outright and created a number of interesting new geometries from its ashes.

Euclid's fifth, put another way, states that two lines that aren't parallel will eventually meet, which consequently implies that <em>two parallel lines will never meet</em>. Without intending it, this property defines the space of Euclid's geometry to be <em>an infinite flat plane</em>.

If we take that parallel postulate and throw it out<em>, </em>then we've defined a <em>spherical space</em> for our geometry. Now, it doesn't matter where we draw our lines; <em>all of them will meet at some point</em>. If you need any convincing of this, take a look at the attached image. The longitude lines <em>seem </em>parallel at first, but they all eventually meet at the north and south poles.

8 0
3 years ago
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