Seventh grade > G.16 Add, subtract,
At the farmers' market, Ken bought 7/10 of a pound of string beans and 1/2 of a pound of
lima beans. How many more pounds of string beans did Ken purchase?

Answer:

Part A

[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]

Plugging in the given values we get;

[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]

R = 12 inches

The radius of the circumscribing circle is 12 inches

Part B

The length of each side of the hexagon, 's', is;

[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]

Therefore;

[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]

s = 12 inches

The perimeter, P = n × s = 6 × 12 = 72 inches

The perimeter of the hexagon is 72 inches

Step-by-step explanation:

The given parameters of the regular hexagon are;

The length of the apothem of the regular hexagon, a = 6·√3 inches

The relationship between the apothem, 'a', and the circumradius, 'R', is given as follows;

[tex]a = R \cdot cos \left(\dfrac{\pi}{n} \right)[/tex]

Where;

n = The number of sides of the regular polygon = 6 for a hexagon

'a = 6·√3 inches', and 'R' are the apothem and the circumradius respectively;

Part A

Therefore, we have;

[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]

Plugging in the values gives;

[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]

The circumradius, R = 12 inches

Part B

The length of each side of the hexagon, 's', is given as follows;

[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]

Therefore, we get;

[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]

The length of each side of the hexagon, s = 12 inches

The perimeter of the hexagon, P = n × s = 6 × 12 = 72 inches

The perimeter of the hexagon = 72 inches

Answer: radius = 12, perimeter = 72

Step-by-step explanation:

We know that in 30-60-90 right triangles, the hypotenuse is exactly twice the length of the short leg and the long leg is the short leg times √3.

so therefore, if the long leg (apothem) is equal to 6√3, the short leg is equal to 6

long leg = 6√3

long leg = short leg √3

short leg = 6

hypotenuse (radius) = 2(short leg)

hypotenuse (radius) = 2(6)

hypotenuse (radius) = 12

The radius of hexagon ABCDEF = 12 inches

Perimeter = r (sides)

Perimeter = r (6)

Perimeter = 12 (6)

Perimeter = 72

The perimeter of hexagon ABCDEF = 72 inches

Answer:

Step-by-step explanation:

From the graph attached,

Coordinates of the vertices of ΔOAB,

O → (0, 0)

A → (2, 4)

B → (5, 0)

If a point (h, k) is rotated 90° counterclockwise about the origin the image point will be,

(h, k) → (-k, h)

By this rule, if triangle OAB is rotated 90° counter clockwise, new vertices will follow the same rule,

O(0, 0) → O'(0, 0)

A(2, 4) → A'(-4, 2)

B(5, 0) → B'(0, 5)

By plotting these points we can get the image triangle.

Answer:

Step-by-step explanation:

All the three sides are equal. So, it is equilateral triangle.

All the angles are less than 90°, so, it is acute triangle

Answer:

it's acute and equilateral

Step-by-step explanation:

Answer:

A. 9 quarts

Step-by-step explanation:

Since he wants to triple the recipe you would multiply the 12 cups by 3 to get 36 cups and then you would convert the cups into quarts and 36 cups is equal to 9 quarts

Answer:

yo

Step-by-step explanation:

Answer:

70 percent

Step-by-step explanation:

>-<

:)

༼ つ ◕_◕ ༽つ

(/▽＼)

(o゜▽゜)o☆

Answer:

A) y= -1.4x + 13

Step-by-step explanation:

use the graphing app desmos it makes your life easier

Answer:

(x,y) ⇒ (x + 8, y - 7)

Step-by-step explanation:

Line AB has to move 8 units to the right and 7 units down to map on line A'B'

Answer:

V% = (100(x - y)/x)%

Step-by-step explanation:

We are given;

Selling price with VAT = Rs. x

Selling price without VAT = Rs. y.

Thus; VAT = Rs. (x - y)

Rate of VAT(V%) = ((x - y)/x) × 100%

= (100(x - y)/x)%

Answer:

y = 9.5 or 19/2

Step-by-step explanation:

4y - 18 = 20

Add 18 to both sides.

4y = 38

Divide by 4.

y = 9.5 or 19/2

Answer:

34

Step-by-step explanation:

4y-18=20

+18 +18

________

4y=38

/4

________

9.5

Answer:

the answer is on line and it have the correct work

Answer:

Two sides have the same length, which is less than the length of the third side.

Step-by-step explanation:

An isosceles triangle has two opposite sides. If the two angles are equal , it means the triangle is an isosceles. Because 90 degrees is greater than 45 degrees, the two sides with the same length, would have a smaller length than the third side.

this is also a right angled triangle because it has a 90 degree angle. the sum of the square of the two sides would be equal to the square of th third side

Answer:

1A) 114°

1B) adjacent and supplementary

Step-by-step explanation:

1A)  m∠m = 180 - 66

1B) adjacent angles share a common side

the sum of supplementary angles add to 180°

number 1 is the answer circle FA

Answer:

D. y+1=-3(x-10)

Step-by-step explanation:

the equation for point-slope form of the line is given as y-y1=m(x-x1) where (x1,y1) is a given point, and m is the slope

we are given the point (10,-1) that passes through the line and a slope of -3

so we can substitute what we know into our equation

y--1=-3(x-10)

simplify

y+1=-3(x-10)

therefore the answer is D

Hope this helps! Good luck on your assignment!

Answer:

50 hours

Step-by-step explanation:

Given data

Time=40hr

Speed=10km/hr

Let us find the fixed distance first

Speed= distance/Time

10= distance/40

distance= 10*40

distance= 400miles

Now our speed= 8km/h

hence the time is

8= 400/time

time= 400/8

time=50 hours

Hence the time is 50 hours

Answer:

it would be 4.5

Step-by-step explanation:

basic explantion

step 1.    3+2 =5

step 2     5x5=25

step 3      25-16=9

step 4       9 divde by 2= 4.5

simplifyed it would be  25-16 ÷ 2

more deatialed explanation.

I added 3+2 to get 5 and i sqaured the 5 to get 25 becasue 5x5 is 25 then i took away 16 and got 9 then i divde 9 by 2 to get 4.5.  hope this helped!

Answer:

5 cups

I would appreciate Brainliest but no worries.

The value of TU is 17.

Here,

T, U, and V are collinear.

U is between T and V

TU = 7x - 4,

UV = 6x + 10, and

TV = 45.

We have to find TU.

What are collinear points?

Three or more points are said to be collinear if they are lie on a single straight line.

Now,

T, U, and V are collinear.

U is between T and V

TU = 7x - 4,

UV = 6x + 10, and

TV = 45.

Clearly, TU + UV = TV

After putting the given values we get;

TU + UV = TV

(7x - 4) + (6x + 10) = 45

13x + 6 = 45

13x = 45 - 6

13x = 39

x = 3

Hence, TU = 7x - 4 = 7 * 3 - 4 = 21 - 4 = 17

So, The value of TU is 17.

Learn more about the collinear points visit:

https://brainly.com/question/15984206

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Answer:

Sperm whale

Step-by-step explanation:

6500 feet is the greatest depth of the four

Answer:

6 2/3

Step-by-step explanation:

We can divide 5 by 3/4 to get the answer. 5 divided by 3/4 is the same thing as 5 times 4/3 which is 20/3 and 20/3= 6 2/3.

Hope this helps :)

It is found that the number of groups of ¾ there in 5 would be; 20/3.

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division, is interpreted as equally dividing the number that is being divided into total x parts; where x is the number of parts the given number is divided.

We need to find the number of groups of ¾ there in 5.

Thus,  We can divide 5 by 3/4 ;

5 divided by 3/4 is the same thing as 5 times 4/3 which will be;

5 /  ¾ = 5 x 4/3

20/3

Also, 20/3 = 6 2/3.

So we can conclude that the number of groups of ¾ there in 5 would be; 20/3.

Learn more about division here:

https://brainly.com/question/26411682

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Answer:

degree: 5

leading coef: 5

constant: 8

leading term: 5ab^5

Step-by-step explanation:

degree is highest exponent leading coef is number in the term w highest exp, constant is the number with no variables attached and leading term is term w highest exp