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Answer:

(D)7 in.

Step-by-step explanation:

A regular hexagon can be divided into six equilateral triangles.

Therefore:

[tex]b=\dfrac{c}{2}[/tex]

Applying Pythagoras Theorem

[tex]c^2=12^2+b^2\\c^2=12^2+(\frac{c}{2})^2\\c^2-(\frac{c}{2})^2=12^2\\c^2-\dfrac{c^2}{4}=144\\\dfrac{4c^2-c^2}{4}=144\\\dfrac{3c^2}{4}=144\\$Cross multiply\\3c^2=144 \times 4\\3c^2=576\\$Divide both sides by 3\\c^2=192\\$Therefore:\\c=\sqrt{192}\\c=8\sqrt{3}$ in.[/tex]

Recall that b=c/2

Therefore:

[tex]b=4\sqrt{3} \approx 7$ in.[/tex]

The value of b is 7 inches.

Answer:

Some examples: 8888, 8551, 9237, 9441.

Answer:

the answer could be any number from 8500 to 9400

Step-by-step explanation:

hope this helps

Answer:

hope it will help uh.....

Answer:

The answer to this in simplest radical form is 4160 2/9.

Answer:

17

Step-by-step explanation:

You would make the 10.01 a 10 and the 7.07 a 7.

Answer:

-60

Step-by-step explanation:

Factor the problem out using FOIL.

The end result is: −60[tex]x^{2}[/tex]−84x+9

The value of coefficent a (the number in front of the x^2) is -60.

Answer:

1/a.  This is the desired product

Step-by-step explanation:

a - 3       5                                       5

------- * --------   reduces first to ----------

 15a     a - 3                                 15a

and then to 1/a.  This is the desired product.

Answer:

a) 2/5

b) 1/10

Step-by-step explanation:

There are 20 people total.

a is that the chosen child is a girl.

2 + 6 = 8, --> there are 8 girls --> simplify

8/20 = 4/10 = 2/5

b is the probability that the chosen child is a left-handed girl, --> there are 2 left-handed girls --> 2/20 --> simplify to 1/10

And thus, we have our answers.

Answer:

A) 2/5

B) 1/10

Step-by-step explanation:

A) Total Girls = 8

Total Children = 19

Probability = [tex]\frac{NumberOfFavourableOutcomes}{Total No.OfOutcomes}[/tex]

Probability = 8/20 = 4/10 = 2/5

B) Left-handed girls = 2

Total left handed children = 20

=> Probability = [tex]\frac{NumberOfFavourableOutcomes}{Total No.OfOutcomes}[/tex]

=> Probability = 1/10

Answer:

$5,675

Step-by-step explanation:

Answer:

Step-by-step explanation:

Calculation for the cost of the ending inventory using specific identification method.

Using this formula

Cost of ending inventory =

(January units ×January cost) +( February units ×February cost) + (May units × May cost) + (September units ×September cost) + (November units × November cost)

Cost of ending inventory =

January 5 units ×$116=$580

February 6 units ×$127=$762

May 10 units ×$139=$1,390

September 4 units ×$147=$588

November 15 units×$157=$2,355

Total =$5,675

Therefore the ending inventory using the specific identification method will be $5,675

Answer:

The answer is option D.

Hope this helps

Answer:

D

Step-by-step explanation:

X-5 is not a factor because is a reminder and 5 is not a zero because

p ( 5)=4

Answer:

See below for explanation of the examples.

Step-by-step explanation:

Left example

It is an exercise in addition, i.e. 48+122=170, the answer is written in the bottom box.

Right example

It is an exercise in subtraction, i.e. 8 1/2 - 3 1/2 = 5

The answer is written in the bottom box.

There is no indication though as to when to do the addition, and when to do the subtraction.  Perhaps it would be shown in the rest of the page (not shown).

Answer:

−76x+76=−76x+76 and 76x+76=76x+76

Answer:  3/5

Step-by-step explanation:

[tex]\dfrac{a}{a+2}+\dfrac{3}{20}=\dfrac{a+3}{(a+2)+3}\\\\\\\dfrac{a}{a+2}\bigg(\dfrac{20}{20}\bigg)+\dfrac{3}{20}\bigg(\dfrac{a+2}{a+2}\bigg)=\dfrac{a+3}{a+5}\\\\\\\dfrac{23a+6}{20(a+2)}=\dfrac{a+3}{a+5}\\\\\\(23a+6)(a+5)=20(a+2)(a+3)\\\\\\23a^2+121a+30=20a^2+100a+120\\\\\\3a^2+21a-90=0\\\\\\a^2+7a-30=0\\\\\\(a+10)(a-3)=0\\\\\\a=-10\quad a=3[/tex]

Since "a" is a positive integer, disregard a = -10

So the only valid answer is a=3   →  a+2=5

[tex]\dfrac{a}{a+2}=\large\boxed{\dfrac{3}{5}}[/tex]

Answer:

y = kx  where k>0

Step-by-step explanation:

A direct variation is in the form

y = kx

where k is a numerical positive constant ( i.e. > 0 )

Answer:

0

Step-by-step explanation:

If she puts 0 in the box she would have a direct variation.

Step-by-step explanation:

 Given : She writes the equation y = 5x - __ with a missing value.

She puts a value in the box and says that the equation represents a direct variation.

We have to choose the correct option from the given options that explain that  the equation could represent a direct variation.

When two variables are such that one is a constant multiple of other, we said they are in Direct variation.

That is in form of y = ax , here y and x are in direct variation.

Consider the given equation y = 5x  - __

For the equation to be in direct variation the value of missing term has to be 0.

then equation becomes,

y = 5x

Thus, If she puts 0 in the box she would have a direct variation.

Answer:

8sqrt(3)

Step-by-step explanation:

30-60-90 truangle ratio of lengths of sides:

1 : sqrt(3) : 2

24/d = sqrt(3)/1

d * sqrt(3) = 24

d = 24/sqrt(3)

d = 24/sqrt(3) * sqrt(3)/sqrt(3)

d = 24sqrt(3)/3

d =

Answer:

D

Step-by-step explanation:

Mathematically, the mid segment of a trapezoid is exactly the average of the 2 parallel bases

What this means is that to find the length of the trapezoid, we will need to find the average of the two parallel bases

Mathematically, this is same as adding the two bases and dividing the result by 2.

Hence we can say it is exactly one-half the length of the sum of the two parallel bases

Answer:

[tex]\boxed{Range = 38}[/tex]

Step-by-step explanation:

Lowest No. = 10

Highest no. = 48

Range = Lowest No. - Highest No.

Range = 48-10

Range = 38

Answer:

4 monetary units

Step-by-step explanation:

In a Poisson distribution, the expected value of the distribution is the same as the mean:

[tex]E(X)=\mu=4\ claims[/tex]

The expected number of warranty claims is 4.

Since each claim results in a payment of 1, the expected value paid by the insurer is:

[tex]E(V)=E(X)*V(X)\\E(V)=4*1 = 4[/tex]

The expected total payment on warranty claims is 4 monetary units.

Answer:

2d^0.7

Step-by-step explanation:

Answer:

The height of the pile is increasing at the rate of  [tex]\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]

Step-by-step explanation:

Given that :

Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min

i.e [tex]\dfrac{dV}{dt}= 20 \ ft^3/min[/tex]

we know that radius r is always twice the   diameter d

i.e d = 2r

Given that :

the shape of a cone whose base diameter and height are always equal.

then d = h = 2r

h = 2r

r = h/2

The volume of a cone can be given by the formula:

[tex]V = \dfrac{\pi r^2 h}{3}[/tex]

[tex]V = \dfrac{\pi (h/2)^2 h}{3}[/tex]

[tex]V = \dfrac{1}{12} \pi h^3[/tex]

[tex]V = \dfrac{ \pi h^3}{12}[/tex]

Taking the differentiation of volume V with respect to time t; we have:

[tex]\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}[/tex]

[tex]\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}[/tex]

we know that:

[tex]\dfrac{dV}{dt}= 20 \ ft^3/min[/tex]

So;we have:

[tex]20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}[/tex]

[tex]20= 56.25 \pi \times \dfrac{dh}{dt}[/tex]

[tex]\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]

The height of the pile is increasing at the rate of  [tex]\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]

Answer:

( edited )

1. divisible by 5 : 120

2. divisible by 12 : 192

3. divisible by 25 : 24

See explanations below.

Step-by-step explanation:

Given:

6 digit number

digits all unique between 1 to 6

divisible by 5, 12 and 25

Find how many such numbers

solution:

1. Divisible by 5.

The last digit must be 5.  That leaves five digits (1,2,3,4,6) for the rest of the numbers. So there are 5! = 120 such numbers.

2. Divisible by 12 (edited again)

All numbers formed from unique digits 1,2,3,4,5,6 are divisible by 3, since 1+2+3+4+5+6 = 21 which is divisible by 3.

For the 6 digit numbers divisible by 12, the two end digits must be divisible by 4, for which there are 8 ( 12,16,24,32,36, 52, 56, 64)

For each of the 8 numbers, we have 4 more digits to tag on for which there are 4! = 24 permutations.  Thus there are 8*24 = 192 numbers divisible by 12.

3. divisible by 25

All numbers ending in 00, 25, 50 or 75 are divisible by 25.

Using digits 1 to 6, only those ending in 25 qualify.

Thus that leaves us with 4 digits to make 4! = 24 variations.

Thus there are 24 such numbers.

Answer:

A. One point greater than the last test grade.

Step-by-step explanation:

One point greater than the last test grade can be written as an expression:n + 1

The difference of Gina’s score and one can be written as an expression:

n - 1

The total cost less one dollar can be written as an expression: n - 1

One minute less than Mickey’s previous time can be written as an expression: n - 1

Answer:

Step-by-step explanation:

its A

Answer:

y≤-2x=+1

Step-by-step explanation:

this will definitely on coordinate plan.

Kindly completed your question as it seem unfinished

Answer:

The Y-intercept is (0,4) for the expression x+2y=8 (simplified to y=-1/2x+4)

The Y-Intercept for the linear graph is (0,10.5)

Answer:

40

Step-by-step explanation:

first do what is in the parentheses (4*4) which is 16 then rewrite the whole equation. 71-5(3)-16. then you'll want to multiply 5 times 3 because if there is no sign before the parentheses then it is automatically multiplication. 5 times 3 is 15. rewrite the equation again. 71-15-16 then simply subtract.

Hope this helps! :)

Answer:

12.86

Step-by-step explanation:

Area=ab *siny/2

a=side

b=base

y=angle

put the values and you got the answer...

hope it helps

Answer:20

Step-by-step explanation: The answer is 20 because to find the Area you use the formula of 1/2 x base x height. 8 is the height and 5 is the base.

8 x 5 =40

Then multiply by 1/2 which will equal 20

Answer:

110.9° = 111°

Step-by-step explanation:

Given ∆ABC, where

length of side AB = 15 cm,

length of side AC = 7 cm

length of side BC = 11 cm

Required:

Size of largest angle in ∆ABC

SOLUTION:

The size of the largest angle in the triangle is the angle that has the largest side length opposite it.

Therefore, the largest angle in ∆ABC = <C, which has a side length of 15 cm opposite it.

=>Find the angle of C using the Law of Cosine

Cos C = (a² + b² - c²)/2ab

Cos C = (11² + 7² - 15²)/2*11*7

Cos C = (121 + 49 - 225)/154

Cos C = -55/154

Cos C = -0.3571

C = Cos-¹(-0.3571)

C = 110.9° ≈ 111°