The of a sister is two times of her brother ages. Two years ago, the age sum of the ages was 26 years. Find their ages. k​

The approximate surface areas of corresponding prisms are listed below:

The surface area of the each figure ([tex]A[/tex]), in square units, is equal to the sum of the surface area of the two bases ([tex]A_{b}[/tex]), in square units, and the surface areas of the lateral sides ([tex]A_{l}[/tex]), in square units. Since bases are regular polygons, base surface area can be determined by this expression:

[tex]A_{b} = \frac{l^{2}\cdot n }{4\cdot \tan \frac{180}{n} }[/tex]  (1)

Where:

The area of one lateral side is expressed by this expression:

[tex]A_{l} =h\cdot l[/tex]   (2)

Where h is the height of the rectangle, in units.

The total surface area is defined by the following formula:

[tex]A = 2\cdot A_{b} + n\cdot A_{l}[/tex]   (3)

Now we proceed to calculate each surface area:

[tex]A = 2\cdot \left[\frac{2^{2}\cdot (6)}{4\cdot \tan \left(\frac{180}{6} \right)} \right]+6\cdot (2)\cdot (9)[/tex]

A = 108.136 units²

[tex]A = 2\cdot \left[\frac{(4\sqrt{3})^{2}\cdot (3)}{4\cdot \tan \left(\frac{180}{3} \right)} \right]+3\cdot (4\sqrt{3})\cdot (9)[/tex]

A = 228.631 units²

[tex]A = 2\cdot \left[\frac{6^{2}\cdot (5)}{4\cdot \tan \left(\frac{180}{5} \right)} \right]+5\cdot (6)\cdot (11)[/tex]

A = 453.874 units²

The approximate surface areas of corresponding prisms are listed below:

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Answer:

Look at the picture                

Answer: 34

Step-by-step explanation:

since the line is cut in half the sides equal

therefore

4x-7 = 2x+5

solve for x

4x = 2x + 12

2x = 12

x = 6

plug into either equation as they are both the same

4(6) - 7 = 17

if one half is 17 then the other half is 17

add the halves for the full line segment AT

AT = 17 + 17 = 34

keeping in mind that two dozen cookies is just 24 cookies, then

[tex]\begin{array}{ccll} eggs&cookies\\ \cline{1-2} 3 & 24\\ x& 2 \end{array} \implies \cfrac{3}{x}=\cfrac{24}{2}\implies \cfrac{3}{x}=12\implies 3=12x \\\\\\ \cfrac{3}{12}=x\implies \cfrac{1}{4}=x[/tex]

Answer:

[tex]\fbox{(a+b) and (a+b+1) are the factors}[/tex]

Step-by-step explanation:

Given equation = a² + 2ab + b² + a + b

Let's factorise,

We know that,

[tex]{(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

Substituting the above factor in given equation,

[tex] {a}^{2} + 2ab + {b}^{2} + a + b = {(a + b)}^{2} + a + b \\ Taking \: (a+b) \: common \: in \: RHS \\ {a}^{2} + 2ab + {b}^{2} + a + b = (a + b)(a + b + 1) \\[/tex]

[tex]\fbox{(a+b) and (a+b+1) are the factors}[/tex]

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Answer:

100

Step-by-step explanation:

You have to find the current average-

73+84+71=228

228/3=76.

228+?=328?

(328=82x4)

328-228=100

Answer:

20/9

Step-by-step explanation:

2/1–>20/10 x 10/9

200/90 / 10

20/9

Hope that helps. :)

[tex]2 \div \frac{9}{10} [/tex]

[tex] \frac{2}{1} \div \frac{9}{10} [/tex]

[tex] = \frac{2}{1} \times \frac{10}{9} [/tex]

[tex] = \frac{2 \times 10}{1 \times 9} [/tex]

[tex] = \frac{20}{9} or2 \frac{2}{9} [/tex]

Answer:

7140

Step-by-step explanation:

Hey there!

This is the correct answer because First, you need to calculate what is 40% of 11900 which is 4760, and then subtract it from 11900.

Finally you would end up with 7140

Area of the triangle

Area of rectangle:-

Area of semicircle

Total:-

Answer:

1757 ft²

Step-by-step explanation:

Formulae

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

Area of a semicircle = 1/2 πr²

To find the shaded area:

Add the area of the rectangle, the area of the triangle, and the area of the semicircle.

Area of the rectangle:

= 20 x 50

= 1000 ft²

Area of the triangle:

= 1/2 x (10 + 50) x 20

= 1/2 x 60 x 20

= 30 x 20

= 600 ft²

Area of the semicircle:

= 1/2 π(20 ÷ 2)²

= 1/2 · 3.14 · 10²

= 1/2 · 3.14 · 100

= 157 ft²

Shaded area:

= area of rectangle + area of triangle + area of semicircle

= 1000 + 600 + 157

= 1757 ft²

Answer:

x=2
y=5

Step-by-step explanation:

Since we have an equation that is set equal to why with x in it, we can multiply it by 2 to get 6x-2=2y.

We can then plug that in for 2 +2y in the equation above, giving us 3x+6x-2=16 or 9x-2=16.

From there we add 2 to both sides and get 9x=18.

Then divide both sides by 9 to get x=2.

Then plug x=2 in for the equation below and get 6-1, or 5.

Giving us our answers, x=2 and y=5

Answer:

y = 4x - 17

Step-by-step explanation:

we can use the equation y = mx + b

where m is the slope.

now we want to find the value of b.

so

7 = 24 + b

b= -17

so the answer is

y = 4x -17

Answer:

the answer is 3.

Step-by-step explanation:

mode if what numberhappens most often

Answer:

In order to make a triangle, the sum of 2 sides must be greater than the third side

in number one 2+3=5 so no you can't make a triangle

you can do it likewise ...

Answer:

500

Step-by-step explanation:

Answer:

15 nickels

Step-by-step explanation:

so you know she has 7 dimes so youre starting off at .70

how much money would it take to get from .70 to 1.45?

.75 cents to get from .70 to 1.45 which is 15 nickels

Answer:

0.15n + 0.70 = 1.45

5 nickels

Step-by-step explanation:

Nickel = 5 cents = $0.05

Dime = 10 cents = $0.10

Let n = number of nickels

Let d = number of dimes

Given:

Equation 1:   0.05n + 0.10d = 1.45

Equation 2:   d = n + 7

Substitute Equation 2 into Equation 1 and solve for n:

⇒ 0.05n + 0.10(n + 7) = 1.45

⇒ 0.05n + 0.10n + 0.70 = 1.45

⇒ 0.15n + 0.70 = 1.45

⇒ 0.15n = 0.75

⇒ n = 5

Therefore, Bella had 5 nickels and 12 dimes.

Answer:

[tex]5\sqrt{2} +\sqrt{10}[/tex]

Step-by-step explanation:

[tex]\sqrt{5} (\sqrt{10} +\sqrt{2} ) < --Given[/tex]

[tex]\sqrt{5} \sqrt{10} +\sqrt{5} \sqrt{2} < -- Distribute[/tex]

An equation is in its simpliest form when you eliminate as many square roots as possible. Here are some rules:

1.) You cannot combine numbers through addition or subtraction if they are under square roots. However, you can combine numbers through multiplication or division if they are under square roots.

2.) You cannot take the square root of a number if the answer is not a whole number (unless the problem says you can). However, you can solve the square root if the number can be simplfied into a "rootable?" number. In other words, the number under a square root can be divided into a number that can have its square root taken.

The first part...

[tex]\sqrt{5} \sqrt{10} = \sqrt{5} * \sqrt{10} < --Multiply[/tex]

[tex]\sqrt{5} * \sqrt{10} =\sqrt{50}[/tex]    

[tex]\sqrt{50} = \sqrt{25} *\sqrt{2} < --Separate[/tex]

[tex]\sqrt{25} = 5 < --Solve[/tex]

[tex]\sqrt{50} = 5 *\sqrt{2} < -- Substitute[/tex]

[tex]5*\sqrt{2} =5\sqrt{2} < --Rewrite[/tex]

The second part...

[tex]\sqrt{5} \sqrt{2} =\sqrt{5} * \sqrt{2} < -- Multiply[/tex]

[tex]\sqrt{5} *\sqrt{2} = \sqrt{10}[/tex]

Combine both parts...

[tex]5\sqrt{2} +\sqrt{10}[/tex]

Answer:

A)6 cm B)32 inch

Step-by-step explanation:

A)1 cm:8 inch

(1×6)cm:(8×6)inch

Thus, if the height is 48 inch, the scale in cm is 6 cm

B)Normal linear form

The length=4cm

(1×4) cm:(8×4) inch

Thus, if the scale length is 4 cm, the real painting length will be 32 inch

Answer:

184

Step-by-step explanation:

in the number 128 the number eight is right it should be to the right then in the number157 one is right it should be to the left in 841 8and 1 are in the wrong position 8 - right 1 - left then in the number 624 the number 4 is right but in the wrong position it should be in the middle the answer is digit 1,8,4

The 3 secret digit numbers are 4, 7, and 8. Then the combination lock with 3 secret digits is 478.

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

You have a combination lock with 3 secret digits.

362 All digits are wrong then 3, 6, and 2 should not be there.

624 One digit is right but in the wrong place. Then 4 digit is right.

841 Two digits are right but both are in the wrong place. Then the place of 4 should be first.

128 One digit is right and in its place. Then the first place is occupied by 4 so 1 is incorrect. Then the third digit is 8.

157 One digit is right but in the wrong place. Then in the second place, the wrong digit is there then there is 7 in the second place.

The combination lock with 3 secret digits is 478.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

Answer:

m=y2-y1/x2-x1

=-4-5/-1-2

=-9/-3

=-3

Answer:

1.77

Step-by-step explanation:

.................

Answer:

d

Step-by-step explanation:

components of a vector is given as

X=vcos■ y= vsin■

substitute the substitute the vector into v and the angle into ■

hence x=-4.89

and y= 3.48

Answer:

80 degrees

Step-by-step explanation:

To convert radians to degrees, multiply by 180π since a full circle is 360° or 2π radians. Cancel the common factor of π. Factor π π out of 4π 4 π.

hope this helps.

Answer: -2.6 , - 0.4, 0, 0.8 , 1.2

Step-by-step explanation:

ascending is smallest to largest

From the extrem left of a.number line to the right

Answer:

-2.6, -0.4, 0, 0.8, 1.2

Step-by-step explanation:

Ascending order is simply the smallest number to the largest number. The smallest numbers in this set are the negative ones, and -2.6 is a smaller value than -0.4.

So far our set looks like the following:

-2.6, -0.4

Next is 0, since 0.8 and 1.2 both come after 0. After 0 would be 0.8, and 1.2 would be the largest number.

Here is the set of numbers in ascending order:

-2.6, -0.4, 0, 0.8, 1.2

Considering the mean and range concepts, it is found that the correct option is:

C. On average, Athens have a higher temperature. However, temperatures in Madrid vary more.

In this problem, Athens has a higher mean, while Madrid has a higher range, hence the correct option is:

C. On average, Athens have a higher temperature. However, temperatures in Madrid vary more.

More can be learned about the mean and range concepts at https://brainly.com/question/15796321

At the 8th week Jeremiah will be running 24 miles to train for a race.

Given Data

The rule for finding the mile for the 8th week is

Mile (n) = 6+2(n)

hence for n = 8

Mile (8) = 6+2(8)

Mile (8) = 6+16

Mile (8) = 24 miles

Learn more about work problems here:

https://brainly.com/question/25693822

Answer:

Below

Step-by-step explanation:

The second ( Oval)   (The cross-section of a slanted plane through curved body of the cylinder)

The third (Circle).  ( The cross section of a plane parallel to the base)

The fifth (Rectangle) (The vertical  cross section of a plane through the diameters of the top and bottom of the cylinder.).

The shapes can be used are oval, circle and rectangle.

Geometric shapes are defined as figures closed by a boundary which is made by combining the definite amount of curves, points, and line segments. Each shape has a unique name such as circle, square, triangle, rectangle, etc. In real life, we are surrounded by various basic geometric shapes, like the slice of a pizza is in the shape of a triangle, doors or windows are in the shape of a rectangle, and many more.

In geometry, when an object or a shape is not connected with both ends, it is considered an open geometric shape. When an object or a shape is connected with both ends it is considered a closed geometric shape. There are two types of geometric shapes, classified as:

First, oval can be used as the cross-section of a slanted plane through curved body of the cylinder.

Then, circle (plane parallel to base)

Then, rectangle  the vertical cross section of a plane through diameters.

Learn more about geometry here:

https://brainly.com/question/12168921

#SPJ2

Answer:

You're missing an attachment :)

If you want an answer, I suggest you upload a picture, or provide more information, thank you.

17 weeks and she'll have $5 extra.