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Elanso [62]
3 years ago
11

Triangle JKM with side j across from angle J, side k across from angle K, and side m across from angle M

Mathematics
1 answer:
qaws [65]3 years ago
7 0

Answer:

By the law of sins,

\tt \frac{m}{sin40} =\frac{j}{sin45}

\tt m=\frac{7\times sin40}{sin45}

\tt =7\times \frac{0.6}{0.7} \times \frac{10}{10}

\tt = 0.6 \times 10

\tt =6.0

Hope it helps!

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. A theater has 40 rows of seats, where the first row has 27 seats and each subsequent row has
MAXImum [283]
<h3><em>Answer:</em></h3><h3><em></em></h3><h3><em>number of seats in theater = 1035</em></h3><h3><em></em></h3><h3><em>Step-by-step explanation:</em></h3><h3><em></em></h3><h3><em>Given in question as</em></h3><h3><em></em></h3><h3><em>Total number of rows of seat = 30</em></h3><h3><em></em></h3><h3><em>first row contain seat = 20</em></h3><h3><em></em></h3><h3><em>second row contain seat = 21 .. and so on</em></h3><h3><em></em></h3><h3><em>This is in arithmetic progression as 20 , 21 , 22 , 23 ...... so on</em></h3><h3><em></em></h3><h3><em>Then as number of terms N = 30 and first terms = a = 20</em></h3><h3><em></em></h3><h3><em>so we have to find Tn th terms</em></h3><h3><em></em></h3><h3><em>So, Tn th terms = first term + ( N -1 ) × d               d= common difference i.e 1</em></h3><h3><em></em></h3><h3><em>     Tn th terms = 20 + (30 - 1) × 1</em></h3><h3><em></em></h3><h3><em>Thus, Tn th terms = 49</em></h3><h3><em></em></h3><h3><em>i.e The number of seats in 30th row = 49</em></h3><h3><em></em></h3><h3><em>Now again Total number of seats in theater</em></h3><h3><em></em></h3><h3><em>sum of Nth terms = </em></h3><h3><em></em></h3><h3><em>so                         = </em></h3><h3><em></em></h3><h3><em>                            = 15 × 69 = 1035</em></h3><h3><em></em></h3><h3><em>Hence, Total number of seats in theater = 1035      Answer</em></h3>
6 0
3 years ago
Lowe Senior High School’s hockey team won 12, lost 5, and tied 3 of their first 20 games this season. Which outcome is most like
Snowcat [4.5K]
They would most likely win because they already won 12/20 so that is the strongest outcome
8 0
4 years ago
60 feet of copper pipe at $1.25 per foot
kykrilka [37]

Answer:

if you bought 60 feet of copper pipe at $1.25 per foot, the total price would be $75

Step-by-step explanation:

since you are buying 60 feet of copper pipe, you would multiply the amount at which it costs per foot. 60×1.25=75

<em>hope this helps!</em>

4 0
3 years ago
Find the whole.
8_murik_8 [283]

It would be 39 I hoped I help
5 0
3 years ago
Let f(x)=2/x-3. Find f^-1(x)
KonstantinChe [14]

Answer:

Two questions:

Question 1: f^{-1}(x)=? given f(x)=\frac{2}{x}-3.

Answer 1: f^{-1}(x)=\frac{2}{x+3}

Question 2: f^{-1}(x)=? given f(x)=\frac{2}{x-3}.

Answer 2: f^{-1}(x)=\frac{2}{x}+3

Step-by-step explanation:

So f^{-1} is used in most classes to represent the inverse function of f.

The inverse when graphed is a reflection through the y=x line. The ordered pairs (a,b) on f implies (b,a) are on f^{-1}.

This means we really just need to swap x and y.

Since we want to write as a function of x we will need to solve for y again.

Question 1:

y=\frac{2}{x}-3

Swap x and y:

x=\frac{2}{y}-3

We want to solve for y.

Add 3 on both sides:

x+3=\frac{2}{y}

Make the left hand side a fraction so we can cross-multiply:

\frac{x+3}{1}=\frac{2}{y}

Cross multiply:

y(x+3)=1(2)

Simplify right hand side:

y(x+3)=2

Divide both sides by (x+3):

y=\frac{2}{x+3}

So f^{-1}(x)=\frac{2}{x+3}.

Question 2:

y=\frac{2}{x-3}

Swap x and y:

x=\frac{2}{y-3}

Make left hand side a fraction so we can cross multiply:

\frac{x}{1}=\frac{2}{y-3}

Cross multiply:

(y-3)x=1(2)

We have to distribute here:

yx-3x=2

Add 3x on both sides:

yx=2+3x

Divide boht sides by x:

y=\frac{2+3x}{x}

You could probably stop here but you could also simplify a little.

Separate the fraction into two terms since you have 2 terms on top bottom being dividing by x:

y=\frac{2}{x}+\frac{3x}{x}

Simplify second fraction x/x=1:

y=\frac{2}{x}+3

So f^{-1}(x)=\frac{2}{x}+3.

7 0
3 years ago
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