• Write an expression that is equivalent to 3(7 + x).
3(7+ x) =

Answer:

24 years old

Step-by-step explanation:

let x = age of abraham, y = age of sylvia

x = 3y

x + 8 = 2y+16 => (2(y+8))

3y + 8 = 2y + 16

y = 8

x = 3(8)

x = 24

The area of the hexagon and pentagon area 779.4cm^2 and 84.303cm^2 respectively.

Data;

The area of a hexagon with apothem 15 can be calculated by first finding the length of the side of the hexagon.

Length of hexagon can be found using trigonometric ratio;

[tex]a = x\sqrt{3}[/tex]

Making x the subject of formula

[tex]x = \frac{a}{\sqrt{3} }\\x = \frac{15}{\sqrt{3} }\\x = 8.660[/tex]

And then the length of the side is 2x

[tex]s = 2 * 8660 = 17.32[/tex]

The perimeter of the hexagon is;

[tex]p = 6s \\p = 6 * 17.32=103.92[/tex]

And the area is given as

[tex]A = \frac{1}{2} * perimeter * apothem\\A = \frac{1}{2} * 103.92 * 15\\A = 779.4unit^2[/tex]

The area of the hexagon is 779.4 squared unit.

The area of the pentagon can be found using several methods, but we can simply find the angle between the sides if we divide the pentagon into 10 pieces and then substitute the formula.

Total area of a pentagon is 360 degree.

[tex]\theta = \frac{360}{10} = 36^0\\[/tex]

The area of a pentagon is given as

[tex]A = \frac{5s^2}{4 tan \theta} \\A = \frac{5 * 7^2}{4* tan36} \\A = 84.303cm^2[/tex]

The area of the pentagon is 84.303cm^2

From the calculations above, the area of the hexagon and pentagon area 779.4cm^2 and 84.303cm^2 respectively

Learn more on area of polygons here;

https://brainly.com/question/1592439

Answer:

18 Days Off

Step-by-step explanation:

Firstly, to solve this question you have to identify how many months are in a year; that's 12. So now we know:

Making a formula for calculation is the best way to do this, especially since we now have all of the information needed to answer.

VacationDays=1 [tex]\frac{1}{2}[/tex] × 12

Vacation days are the total number of vacation days in a year.

∴VD= 1 [tex]\frac{1}{2}[/tex] x 12

VD= 18

∴Total vacation days equal 18

Each employee gets 18 vacation days in a year.

Answer:

A is your answer.

Step-by-step explanation:

.7 is the same as .70 and .70 is to the left of .53, indicateing that she incorrectly compared the hundreths to the tenths.

Answer:

3.25 x 10^-4

Step-by-step explanation: mark brainliest

Answer:

When two lines intersect and form 4 angles at the intersection, the two angles that are opposite each other are called “opposite angles” or “vertical angles” and these vertical angles are “congruent” – meaning they have the same shape and size.

Step-by-step explanation:

Answer: Center: (13, -11)

              Radius: 19

Step-by-step explanation: yeah

Step-by-step explanation:

1) 35×23 = 805

2) 800/40=20

3)170/10=17

4) 2000-805-800-170=225

5)225/15=15

Hence answers

1)805

2)20

3)17

4)225

5)15

Answer:

200.96 inches squared

Step-by-step explanation:

lookie here! pretend the circle is a cookie. ok i love cookies. NOW IM MOTIVATED. lookie here, its just the way the cookie tear.

alright so your teacher told you that the area of a circle is 3.14 times the radius squared.

the radius here is 8 inches. 8 squared is eight times eight. that is 64.

cool. now 64 times 3.14 is:

200.96

amazing

(prepare to get hurt and mangled, like kurt angle, rookie year!)

i hope you have a swag day

the answer is 70.2 ft because u add them all together

Answer:

the area is 243

see the photo

Answer:

Step-by-step explanation:

Let the missing length is x.

According to Pythagorean, we have the following equation

Answer:

Missing length = 4 in

Step-by-step explanation:

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substitute given values into the formula and solve for ?:

⇒ 3² + ?² = 5²

⇒ 9 + ?² = 25

⇒ ?² = 25 - 9

⇒ ?² = 16

⇒ ? = √16

⇒ ? = 4 in

We are given the line's slope and the line's y-intercept (the point where the line touches the y-axis)

It's easier to write the equation in Slope-Intercept Form, which looks like so:-

[tex]\boxed{y=mx+b}[/tex]

where m -> slope of the line & b -> y-intercept

Instead of m, you should plug in 6:-

y=6x+b

Instead of b, you should plug in 2:-

y=6x+2 ✓

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Check the picture below, so let's check the equations below hmmm

[tex]\boxed{A}\\\\ y=\cfrac{16-3x}{4}\implies y=\cfrac{-3x+16}{4}\implies y = \cfrac{-3x}{4}+\cfrac{16}{4}\implies y=-\cfrac{3}{4}x\stackrel{\stackrel{b}{\downarrow }}{+4}~\hfill \bigotimes \\\\[-0.35em] ~\dotfill[/tex]

[tex]\boxed{D}\\\\ y+4=2x\implies y=2x\underset{\stackrel{\uparrow }{b}}{-4}\qquad \textit{\Large \checkmark}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

Answer: A. Distribute the 3 outside of the parathesis to everything inside the parenthesis

We use the order of operations, also known as PEMDAS.

Since there is a variable inside the parenthesis, we cannot add/subtract 4. This means the next step is to distribute.

After distributing, the equation looks like this and we can solve it from there:

4x + 12 = 30

Answer:

8cm

Step-by-step explanation:

[tex]Here,\\\\Area(A)=64\pi cm^{2} \\Radius(r)=?\\\\As\:we\:have,\\\\\hookrightarrow Area=\pi r^{2} \\\\\hookrightarrow \frac{64\pi cm^{2} }{\pi } =r^{2} \\\hookrightarrow 64 cm^{2} =r^{2} \\\\\hookrightarrow \sqrt{64cm^{2} } =r\\\\\hookrightarrow 8cm=r\\\\\hookrightarrow r=8cm[/tex]

Answer:

[tex]\huge\boxed{\bf{radius_{circle} = 8cm}}[/tex]

Step-by-step explanation:

Given:-

To find:-

Ans:-

[tex]\sf \to Area_{circle} = \pi*r^2 [/tex]

[tex]\sf \to 64\cancel{\pi} cm^2 = \cancel{\pi}*r^2 [/tex]

[tex]\sf \to 64cm^2 = r^2 [/tex]

[tex]\sf \to r = \sqrt{64cm^2} [/tex]

[tex]\sf \to r = 8cm [/tex]

therefore [tex]\tt radius_{circle} [/tex] = 8cm

[tex]\: [/tex]

[tex]\huge\colorbox{skyblue}{BlackPain}[/tex]

Answer:

all the above.

your welcome

Answer: Subtraction property of equality

Step-by-step explanation:

They subtracted 6 from both sides to get AB=18.

Answer:

391.3

Step-by-step explanation:

13x43=559

559-167.70=391.3

Answer:

$3.20

Step-by-step explanation:

1.60 x 2 = $3.20

You need $3.20 to buy 2 scoops of ice cream.

Answer:

Step-by-step explanation:

Since the cost of one ice cream scoop is $1.60, you would either have to add $1.60 two times, or multiply 1.60x2.

$1.60+$1.60 or 1.60x2=$3.20.

Therefore, the answer to the question would be “$3.20 would be needed to buy two scoops of ice cream.”

The probability that they have a common vertex is 20%.

Since three faces of a cube are randomly selected, to determine what is the probability that they have a common vertex, the following calculation must be performed:

Therefore, the probability that they have a common vertex is 20%.

Learn more about probability in https://brainly.com/question/12540915

Using the square root property to solve this 64x² - 121 = 0, the value of x is - 11 / 8 and 11 / 8.

64x² - 121 = 0

add 121 to both sides of the equation

64x² - 121 + 121 = 0 + 121

64x²  = 121

divide each term by 64 and simplify

64x² / 64  = 121 / 64

x² = 121 / 64

Take the square root of both sides of the equation to eliminate the exponent on the left side

√x² = ±√ 121 / 64

Simplify the right side of the equation.

x = ± 11 / 8

Therefore,

x = 11 / 8, - 11 / 8

learn more on square root property here: https://brainly.com/question/3506989

Answer:

(m - 9) (m + 10)

Step-by-step explanation:

m² - 9m + 10m - 90

(m² - 9m) + (10m - 90)

m(m - 9) + 10 (m - 9)

Final answer;

(m - 9) (m + 10)

Answer:

The answer is 2 and (-9)

Step-by-step explanation:

x² + 7x – 18 = 0

x² + 9x – 2x – 18 = 0

x(x + 9) – 2(x + 9) = 0

(x – 2) (x + 9) = 0

x = (2, -9)

Thus, The zeroes of the polynomial is 2 and (-9).

Answer:

x^2 + y^2 = 12

Step-by-step explanation:

For a circle with the center at the origin [(h,k) is (0,0)]

use the formula:

x^2 + y^2 = r^2

In this case r is 2sqroot3.

(2sqroot3)^2 is 12.

2•2•sqrt3•sqrt3

= 4•3

= 12

So we get,

x^2 + y^2 = 12

Answer:15 boxes with 4 left over have a great day :)

Step-by-step explanation:

Answer:

More details please ._.

Step-by-step explanation:

[tex] \frac{{b}^{4} }{ {a}^{2} {c}^{2} } [/tex]

explanation:

There's 4 as in the denominator which cancels out the 2 in the numerator. Thus leaving you with 2 as in the denominator. Then there's only 1 b I the denominator which is canceled out by the ones in the numerator, leaving you with only 4 b's in the numerator. Finally there is only 1 c in the numerator which is canceled out by the ones in the denominator. Thus leaving you with 2 c's in the denominator.

Answers:

============================================================

Explanation:

The perimeter p refers to the perimeter of the base polygon. We have five equal sides of 4 inches each, which therefore leads to a perimeter of p = 5s = 5*4 = 20

The perimeter is 20 inches.

This is the answer for blank 1.

This is the amount of fencing needed to enclose the pentagonal base.

-------------------------------

The l, aka lowercase L, is the slant height. It refers to the distance from the midpoint of any side of the base to the peak of the pyramid.

The diagram shows the slant height is 5.7 inches which is the answer for blank 2.

-------------------------------

LA = lateral surface area

The lateral area is the area of everything except for the base polygon.

Each triangle has a base of 4 inches and height 5.7 inches.

Each triangle has an area of base*height/2 = 4*5.7/2 = 11.4 square inches.

Five such identical copies yields a total LA of 5*11.4 = 57 square inches which is the answer for blank 3.

For each blank, you'll only enter the number itself of course.

The 2.8 in the diagram is never used. It's only useful if you needed to find the volume.

Answer:

Step-by-step explanation:

draw a square and cut it from the top right corner to the bottom left corner it makes a triangle