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blagie [28]
3 years ago
14

In a right triangle, the expression sin 47° is equal to what?​

Mathematics
1 answer:
kumpel [21]3 years ago
6 0
What that person say is the file.
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Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what coul
aev [14]

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, 18 inches =  1.5 ft

Thus, the length of the rug is l=1.5+w

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

A=length\times width

10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0

Solving the expression using the quadratic formula,

$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substituting the values, we have,

$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\

$w=\frac{-15 \pm \sqrt{4225}}{20}$

$w=\frac{-15 \pm 65}{2 0}$

Thus,

w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5  and   w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting w=2.5 in l=1.5+w, we get,

l=1.5+2.5\\l=4

Thus, the length of the rug is 4 ft.

4 0
3 years ago
W(n)=n-1; find w-(4)
loris [4]

Answer:5

Step-by-step explanation:

w(n)=4-1

=5

6 0
3 years ago
Write <br> 1<br> 16<br> as a decimal.<br><br> A) 0.00625 <br> B) 0.0625 <br> C) 0.625 <br> D) 6.25
xenn [34]

Answer:

b) 0.0625

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
In 2011, a train carried 8% more passengers than in 2010. In 2012 , it carried 8% more passengers than in 2011. Find the percent
hjlf

Answer:

there was a 16% increase since 2010 to 2012

Step-by-step explanation:

lets say the train had 100 people on it in 2010 and in 2011 it had an 8% increase which then brings you to 8 plus 100 and you get 108.

Now in 2012 there was an increase 8%, so you will add 8 to your previous answer 108 and receive 116. So now there was 16 more passengers in 2012 than in 2010. Transfer the 16 passengers into 16% and you now have your answer.

3 0
3 years ago
Help ASAP please<br> What is -3x98+193 ?
Sati [7]

If "x" is a multiplication sign:

-3 * 98 + 193 =

-294 + 193 =

101


Hope it helped,


BioTeacher101

3 0
3 years ago
Read 2 more answers
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