The circumference of a circular field is 166.42 yards. What is the diameter of the field? Use 3.14 for it and do not round your answer. ​

Answer:

DC = 39

Step-by-step explanation:

From inspection of the diagram:

The tangent of a circle is always perpendicular to the radius, therefore:

DE ⊥ EA and CA ⊥ EA

As ∠DEB and ∠BAC are both 90°, then DE is parallel to CA.

Therefore, ∠DBE and ∠ABC are vertically opposite angles, and are therefore equal.

As triangles ΔBED and ΔBAC have two pairs of corresponding congruent angles, the triangles are similar.

Therefore:

[tex]\implies \sf \dfrac{DE}{CA}=\dfrac{EB}{BA}[/tex]

[tex]\implies \sf \dfrac{10}{5}=\dfrac{24}{BA}[/tex]

[tex]\implies \sf BA=12[/tex]

Using Pythagoras' Theorem for ΔBED to find DB:

[tex]\implies \sf DE^2+EB^2=DB^2[/tex]

[tex]\implies \sf 10^2+24^2=DB^2[/tex]

[tex]\implies \sf DB^2=676[/tex]

[tex]\implies \sf DB=\sqrt{676}[/tex]

[tex]\implies \sf DB=26[/tex]

Using Pythagoras' Theorem for ΔBAC to find BC:

[tex]\implies \sf CA^2+BA^2=BC^2[/tex]

[tex]\implies \sf 5^2+12^2=BC^2[/tex]

[tex]\implies \sf BC^2=169[/tex]

[tex]\implies \sf BC=\sqrt{169}[/tex]

[tex]\implies \sf BC=13[/tex]

Therefore, the distance between the center of the circles DC is:

[tex]\begin{aligned} \implies \sf DC & = \sf DB + BC\\& = \sf 26 + 13\\& = \sf 39\end{aligned}[/tex]

Use Pythagorean theorem

Now use proportion

Now

DC=DB+BC=26+13=39

Answer:

the answer is 2500

Step-by-step explanation:

10 ^3 =1000

next you multiply 1000 x 2.5 = 2500

Answer:

B) y = 2x - 3

Step-by-step explanation:

Seth's age = y

Twice as old as Toby = 2x

3 years less = -3

Hope this helps!

Answer:

2&3

Step-by-step explanation:

They have the same absoulte value

You have to go 18 numbers to get from each other.

They are opposite numbers.

One is negative and one is positive.

Hope it Helps

the answer is C 3 magazines per book

Answer:

they are about 90 feet far apart from each other

Step-by-step explanation:

Here you can use the Pythagorean theorem :

[tex]\sqrt{50^{2}+75^{2}} =\sqrt{8125}[/tex]

                 [tex]=90.1387818866[/tex]

Answer:

Step-by-step explanation:

Given : the ratio of red marbles to blue marbles is 6 to 22

But ,we want to write the ratio in simplest form

therefore ,we have to divide both sides of the ratio by their greatest common factor GCF.

→ So Let’s find the GCF(6 , 22)

Since 6 = 2 × 3

         22 = 2 × 11

then ,GCF(6 , 22) = 2

Eventually ,the ratio 6 : 22 in its simplest form I suppose 3 : 11

Answer:

125.44 = v

Step-by-step explanation:

14 = [tex]\frac{v}{17.92}[/tex] + 7

7 = [tex]\frac{v}{17.92}[/tex]

7(17.92) = v

125.44 = v

Hope this helps!

Answer:

[tex]v = 125.44[/tex]

Step-by-step explanation:

Answer:

y≥-1

Step-by-step explanation:

First you have to find out whether the inequality has x or y. You can first look at the x coordinate -1. This means that x will always be equal to -1. If you look at the graph than you can see that x is only equal to -1 at one place. So now you know that y is in the inequality. To tell whether this graph is greater than or less than you can look at the line and see whether the shaded section is to the positive side or the negative side. You can see that the shaded area goes in the positive direction so you know that it is greater than.

Both the median and the range changed, the correct option is A.

Median, in statistics, is the middle value of the given list of data, when arranged in an order.

The data set that contains the outlier is given as:

4, 14, 15, 15, 16, 16, 18, 19, 20, 20, 21

The minimum value of the data is: 4

The median or middle quartile i.e. [tex]\rm Q_2[/tex]  is the central tendency of the data and exists in the middle of the data.

The median is: 16

Also, the lower set of data is:

4,14,15,15,16

The lower quartile i.e. [tex]\rm Q_1[/tex]  is the median of the lower set of data.

The  lower quartile i.e. [tex]\rm Q_1[/tex] = 15

Similarly, the upper set of data is:

18, 19, 20, 20, 21

the upper quartile i.e. [tex]\rm Q_3[/tex]  is the median of the upper set of data.

upper quartile i.e. [tex]\rm Q_3[/tex] = 20

Also, the interquartile range is:

[tex]\rm Q_3-Q_1=20-15=5[/tex]

The maximum value of the set is 21.

Range = Maximum value-Minimum value =21 - 4 = 17

As we know that 4 is the outlier of the data as it is the smallest as compared to all the data points.

After removing the outlier the data set is:

14, 15, 15, 16, 16, 18, 19, 20, 20, 21

The minimum value of the set =14

The maximum value of set =21

Range = Maximum value-Minimum value =21-14 = 7

Hence, Both the median and the range changed.

To know more about median and range click the link given below.

https://brainly.com/question/9045470

Answer:

8

Step-by-step explanation:

32/4 = 8

8 = 1/4(32)

Answer:

8

Step-by-step explanation:

Since there is 32 students and 3/4 of them have brown hair right. We can change the 3/4 fraction to a similar fraction to help. We can bump it up. As it is similar to 6/8 and 12/16 and 24/32

So 24/32 would have brown hair leaving 8 with blonde

Answer:

I will do only 1 sum bru.h

In the 1st sum

the 1st no. can be in 9 ways

the 2nd no. can be in 10 ways

the 3rd no. can be in 10 ways

the 4th no. can be in 10 ways

total no. of ways = 9 × 10 × 10 × 10

= 90 × 100

= 9000 ways

2nd one..

the 1st letter can be written in 4 ways

the 2nd letter can be written in 4 ways

the 3rd letter can be written in 4 ways

the 4th letter can be written in 4 ways

Total no. of ways = 4 × 4 × 4 × 4

= 16 × 16

= 196 ways

copy the given expression on your answer sheet

Answer:

[tex]3a^{2} b^{2} -6a[/tex]

Step-by-step explanation:

[tex]\frac{15a^{3}b(3ab^{2}-6 ) }{15a^{2} b}[/tex]       take [tex]15a^{3}[/tex]b common

 [tex]=3a^{2} b^{2}-6a[/tex]    cancel like terms

The equation of the circle is (x + 3)² + (y + 5)² = 36. Then the correct option is B.

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The center of a circle at (–3, –5) and a radius of 6 units. Then the equation will be given as

(x + 3)² + (y + 5)² = 6²

(x + 3)² + (y + 5)² = 36

Then the equation of the circle is (x + 3)² + (y + 5)² = 36.

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

D

Step-by-step explanation:

I did it B)

Answer:

a=£231

b=£32.8

Step-by-step explanation:

get the percentage multiplied by the current price to get the increase then add the increaseto the current price

Answer:

129

Step-by-step explanation:

so they are basically the same angles but on different planes.  Set them equal to each other.

14x+17=19x-23  solve for x

40=5x isolate x by dividing by 5

x=8

check

14(8)+17=19(8)-23

129=129

Answer:

2nd option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{5}[/tex] x + 4 ← is in slope- intercept form

with slope m = [tex]\frac{1}{5}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{5} }[/tex] = - 5 , then

y = - 5x + c ← is the partial equation

to find c substitute (5, - 4 ) into the partial equation

- 4 = - 25 + c ⇒ c = - 4 + 25 = 21

y = - 5x + 21 ← equation of perpendicular line

Answer:The data set represents the length, in inches, of some crayons.

4342

3222

2434

Step-by-step explanation:

Answer:

11.61895003862225

Step-by-step explanation:

Answer:

The answer is 10d + 15.

Step-by-step explanation:

Simplify the expression. Calculators are helpful for problems such as these...

Answer:

Step-by-step explanation:

If an equation for example is x=5, the equation has one solution. If the equation is for example 4=4, there is an infinite amount of solutions. for your problem we would simplify the equation to get:

6x+9=3x+9

6x=3x

when dividing the x's to cancel eachother out we are left with 6=3. This means we have no solutions possible.

Answer:

in every way it's possible answer is 0!!

Step-by-step explanation:

method 1:

6x-3x=9-9

3x=0

x=0/3

x=0

method 2:

0=3x-6x+9-9

0=-3x

x=0

check

6*0+9=3*0+9

9=9

proved

Step-by-step explanation:

[tex]cos ^{2} x - \sin ^{2} x = \frac{1}{3} [/tex]

[tex] \frac{(cos ^{2}x - \sin ^{2} x)(cos ^{2}x + \sin ^{2} x)}{(cos ^{2}x + \sin ^{2} x)} = \frac{1}{3} [/tex]

[tex] \frac{(cos ^{4}x - \sin ^{4} x)}{1} = \frac{1}{3} [/tex]

as cos²x+sin²x=1

Hence

cos⁴x-sin⁴x=1/3

Answer:

x

=

3.5

=

2.5

=

0

=

5

X

=

Step-by-step explanation:

Answer:

18[tex]\frac{3}{4}[/tex]cm^3

Step-by-step explanation:

Answer:

8.5 acres

Step-by-step explanation:

12 pound = 102

1 pound= 102/12= 8.5

So we can plant 8.5 acre field with 1 pound of seed.

Please give me brainliest . :-)

Parallelograms have 2 pairs of congruent, parallel sides, and opposite angles that are congruent.

If side KL = 31, then its opposite side, side MN, must also be 31.

If angle N = 119 degrees, then its opposite angle, angle L must also be 119 degrees.

Angle L and Angle K are on the same side of the parallelogram, which means that they are supplementary angles (add up to 180).

119 + K = 180

Angle K = 61 degrees

Hope this helps!

Answer:

57.5p

Step-by-step explanation:

$2.30 / 4 = 57.5p

Answer:

its A 14.0

Step-by-step explanation: