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Mkey [24]
3 years ago
13

The smallest angle of rotational symmetry for a regular polygon is 30 how many regular sides does a polygon have

Mathematics
1 answer:
GaryK [48]3 years ago
5 0

Given: The smallest angle of rotational symmetry for a regular polygon is 30 degrees.

We have to determine the number of regular sides, a polygon have.

Number of regular sides of a polygon is given by the formula=

\frac{360}{angle measure}

= \frac{360}{30}

= 12 sides

Therefore, there are 12 regular sides of this polygon.

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The angles of elevation froma point X to the top of flagpoles A and B are 35* and 45* respectively. If X lies in the middle of t
BartSMP [9]

Let AB = t. And since X lies in the middle, so AX=BX = t/2 .

Let the height of the smaller flagpole is AO and of larger flagpole is BP .

Using tangent ratio rule in each triangle, we will get

tan 35 =\frac{AO}{t/2} , tan 45= \frac{BP}{t/2} // AO = \frac{t*tan35}{2},  BP=\frac{t*tan45}{2}

And there ratio is

\frac{AO}{BP}= \frac{tan 35}{tan 45}=\frac{0.7}{1}

5 0
2 years ago
What is 44 feet per second as a unit rate.
MariettaO [177]

Answer:

44fps, or 44:1

Step-by-step explanation:

it is already a unit rate

3 0
2 years ago
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6. Two observers, 7220 feet apart, observe a balloonist flying overhead between them. Their measures of the
MaRussiya [10]

Answer:

The ballonist is at a height of 3579.91 ft above the ground at 3:30pm.

Step-by-step explanation:

Let's call:

h the height of the ballonist above the ground,

a the distance between the two observers,

a_1 the horizontal distance between the first observer and the ballonist

a_2 the horizontal distance between the second observer and the ballonist

\alpha _1 and \alpha _2 the angles of elevation meassured by each observer

S the area of the triangle formed with the observers and the ballonist

So, the area of a triangle is the length of its base times its height.

S=a*h (equation 1)

but we can divide the triangle in two right triangles using the height line. So the total area will be equal to the addition of each individual area.

S=S_1+S_2 (equation 2)

S_1=a_1*h

But we can write S_1 in terms of \alpha _1, like this:

\tan(\alpha _1)=\frac{h}{a_1} \\a_1=\frac{h}{\tan(\alpha _1)} \\S_1=\frac{h^{2} }{\tan(\alpha _1)}

And for S_2 will be the same:

S_2=\frac{h^{2} }{\tan(\alpha _2)}

Replacing in the equation 2:

S=\frac{h^{2} }{\tan(\alpha _1)}+\frac{h^{2} }{\tan(\alpha _2)}\\S=h^{2}*(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})

And replacing in the equation 1:

h^{2}*(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})=a*h\\h=\frac{a}{(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})}

So, we can replace all the known data in the last equation:

h=\frac{a}{(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})}\\h=\frac{7220 ft}{(\frac{1 }{\tan(35.6)}+\frac{1}{\tan(58.2)})}\\h=3579,91 ft

Then, the ballonist is at a height of 3579.91 ft above the ground at 3:30pm.

6 0
2 years ago
Renee was able to plant 15 plant in 5min at this rate how many flowers could she paint plant in 45 min
Sedbober [7]

Answer:

Answer is 135 plant

Step-by-step explanation:

We have given that,

In 5 min Renee can plant 15 plant.

That means in one minute Renee can plant \frac{15}{5} plant.

i.e. Rate of planting = 3 plant per minute

So, In 45 minutes , she can plant  45×3 plant

i.e Plant she can plant in 45 minute = 135 plant

6 0
2 years ago
Where will these 2 lines intersect?<br><br> y = 2x + 7 and x = y + 4
defon
To find the intersecting point, you have to put the two formulas equal to each other
First isolate the same variable, in this case y
So y=x-4

Now we can say
2x + 7 = x - 4

Now solve for x

X= 3

Now fill this in in either one of the formulas

Y= 2 (3) + 7
Y= 13

So they’ll intersect at (3,13)
5 0
2 years ago
Read 2 more answers
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