Ask question

Ask question

All categories

3 years ago

8

If the distance between two points (ab) on a circle is 15 cm and the angle between those two cities is 18˚, what is the circumfe

rence of the circle in centimeters

1 answer:

mrs_skeptik [129]3 years ago

7 0

Since 18 is one twentieth of the angle of a full circle, 360, the circumference is 20 times the arc distance of 15, or 300

You might be interested in

Annabelle the ant and Archibald the ant are on a large coordinate grid. Annabelle is at (3,4) and Archibald is at (33,44). If bo

kvasek [131]

<u>Part a)</u> If both ants skate directly towards each other, starting at the same time and skating the same speed, what will be the coordinates of their meeting place?

Let

A(3,4) B(33.44)

we know that

If both ants skate directly towards each other, starting at the same time and skating the same speed

then

the coordinates of their meeting place is the midpoint AB

<u>Find the midpoint AB</u>

in the x-coordinate

(3+33)/2=18

in the y-coordinate

(4+44)/2=24

the midpoint AB is (18,24)

therefore

<u>the answer Part a) is </u>

the coordinates of their meeting place is (18,24)

<u>Part b)</u> How far will each ant skate?

<u>Find the distance AB</u>

$d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}$

substitute the values

$dAB=\sqrt{(33-3)^{2}+(44-4)^{2}}$

$dAB=\sqrt{2,500}$ units

$dAB=50$ units

<u>Find the half distance AB</u>

50/2=25 units

therefore

<u>the answer part b) is</u>

Each ant will skate 25 units

7 0

3 years ago

What is the IQR of 11,11.5,10.5,17,14.5,18,17,19

Vika [28.1K]

Ascending order :-

10.5 , 11 , 11.5 , 14.5 , 17 , 17 , 18 , 19

Median,

={(n/2)th + (n/2 +1)th}/2

={(4)th + (5)th}/2

=(31.5)/2

=15.75

I.Q.R.,

Median of lower half,

={(n/2)th + (n/2 +1)th}/2

={(2)th + (3)th}/2

=(22.5)/2

= 11.25

Median of upper half,

={(n/2)th + (n/2 +1)th}/2

={(2)th + (3)th}/2

=35/2

=17.5

I.Q.R. = 17.5 - 11.25 = 6.25

HOPE THIS WILL HELP YOU

4 0

3 years ago

Read 2 more answers

How do I solve this

svet-max [94.6K]

You should guess.e.g y=3 x=0 or y=5 x=3.

8 0

3 years ago

HELP!! PLEASE!! NEED DONE ASAP I WILL GIVE 100 POINTS AND MORE IF YOU CAN GET ALL 3 QUESTIONS DONE!! THANK YOU!! I WILL ALSO MAR

VARVARA [1.3K]

Answer:

I answered the questions but that formatting is very confusing and discourages anyone for trying to answer.

The last question is confusing. If I got it wrong, tell me. I will try to answer in the comment section then.

Step-by-step explanation:

Kayson is looking at two buildings, building A and building B, at an angle of elevation of 73°. Building A is 30 feet away, and building B is 35 feet away. Which building is taller and by approximately how many feet?

$\text{tan}\theta=\frac{h_{A}}{30} \Rightarrow h_{A}=\text{tan}73\º \cdot 30 \Rightarrow h_{A}\approx 98.12 \text{ feet}$

$\text{tan}\theta=\frac{h_{B}}{35} \Rightarrow h_{B}=\text{tan}73\º \cdot 35 \Rightarrow h_{B}\approx 114.47 \text{ feet}$

$\text{Difference} \approx 16.35$

Building B is around 16.35 feet taller than building A.

A Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°?

$\text{sin}(y)=\frac{a}{6}$

$\text{tan}(y)=\frac{a}{b}$

a is the opposite side; 6 is the hypotenuse; b is the adjacent side.

Therefore,

$\text{cos}(y)=\frac{b}{6}$

If sin f° = eight ninths and the measure of segment YW is 24 units, what is the measure of segment YX? triangle XYW in which angle W is a right angle, angle X measure f degrees, and angle Y measures d degrees.

This seems a bit confusing. The angles don't match. We have $90\º+62\º +21\º \approx 173\º$

$\text{sin}(f)=0.888...$

$f \approx 62\º$

YX is the hypotenuse of the right triangle.

$\text{cos}(21\º)=\frac{24}{YX}$

$YX \approx 25.7$

Considering $f \approx 69\º$

$\text{sin}(69\º)\approx\frac{24}{YX}$

$YX \approx 25.7$

4 0

3 years ago

Read 2 more answers

[Help Asap, I will mark brainliest] In the figure below, g, || l. Find the values of y and x.

ohaa [14]

Answer:

x = 23

y = 110

Step-by-step explanation:

70 and 3x+1 are alternate exterior angles and that means they are equal

70 =3x+1

Subtract 1 from each side

69 = 3x

Divide by 3

69/3 =3x/3

23 =x

70 and y are same side exterior angles and that means they are supplementary ( add to 180)

70+y = 180

y = 180-70

y = 110

5 0

2 years ago