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Marizza181 [45]
3 years ago
10

Find the size of angle xyz give your answer to 3 significant figures

Mathematics
1 answer:
KengaRu [80]3 years ago
8 0

Answer:

<u>68.2°</u>

Step-by-step explanation:

This is a right triangle, so we can use SIN,COS,TAN to solve for the angle.

We want ∠YXZ

THe side opposite to the angle is given as 20

The side adjacent to the angle is given as 8

Which trig ratio relates "opposite" and "adjacent"??

It is Tan!!

Thus, we can write:

Tan(\angle YXZ)=\frac{20}{8}\\Tan(\angle YXZ)=\frac{5}{2}\\Tan(\angle YXZ)=2.5\\\angle YXZ = ArcTan(2.5)\\\angle YXZ = 68.2

THis is the angle

<u>68.2°</u>

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A rock band is playing a concert at Music Hall 49, which has 2,500 seats. If 80% of the tickets were sold before the night of th
nasty-shy [4]

First you must see how many seats were bought. To do this you must make a proportion

\frac{part}{whole} = \frac{part}{whole}

80 is a percent and percent's are always taken out of the 100. This means that one proportion will have 80 as the part and 100 as the whole

We want to know what 80% of 2,500 is in order to find how many seats were sold before the show. This means 2,500 is the whole and the unknown (let's make this x) is the part.

Here is your proportion:

\frac{x}{2,500} =\frac{80}{100}

Now you must cross multiply

x*100 = 80*2,500

100x = 200,000

To isolate x divide 100 to both sides

100x/100 = 200,000/100

x = 2,000

This means that before the night of the concert 2,000 seats were bought.

We are still not done with this problem because we want to know how many seats are left the night of the concert. To find this simply subtract 2,000 from the number of original seating (2,500)

2,500 - 2,000 = 500

On the night of the concert there were 500 seats left.

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0
3 years ago
If a system of linear equations has no solution, what do you know about the slopes and y-intercepts of the graphs of the equatio
Nata [24]

Answer:

B. The slopes of the graphs are the same and the y-intercepts of the graphs are different

Step-by-step explanation:

The lines will also be parallel

7 0
3 years ago
How do you add a decimal
fiasKO [112]
When adding decimals always line them up 
for example:    5.23
                      +6.35
                       --------
                      11.58
see simple hope I helped

7 0
3 years ago
Read 2 more answers
44 is 25% of what <br> pls help they gave me these without teaching them
Anna71 [15]

Answer:

176

Step-by-step explanation:

In order to find these kinds of problems, you need to divide the given number by the percentage in its decimal form.

25% = 0.25

44/0.25 = 176

To check your work, simply take the answer and multiply it with the percentage.

176*0.25 = 44

7 0
3 years ago
How do I find the measure of the interior angle?
nataly862011 [7]

Answer:

see the explanation

Step-by-step explanation:

we know that

The sum of the interior angles in any polygon is given by the formula

S=(n-2)180^o

where

n is the number of sides of the polygon

step 1

Find the sum of the interior angles in the given polygon

we have

n=5\ sides

substitute

S=(5-2)180^o=540^o

step 2

Find the value of x

we know that

-3x+125+(45-x)+(-x+90)+80=540

solve for x

-5x+340=540

-5x=200\\x=-40

step 3

Find the measure of each interior angle

substitute the value of x

Angle A

-3(-40)=120^o

Angle B

80^o

Angle C

-(-40)+90=130^o

Angle D

45-(-40)=85^o

Angle E

125^o

3 0
3 years ago
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