What is the radius of each semicircle in this composite figure?

Answer Expert Verified

3.1/5

18

Surface of a cube=S(x)

S(x)=6x²

S(2 m)=6(2 m)²=6(4 m²)=24 m²

The surface of this cube is 24 m².

Volume of a cube=V(x)

V(x)=x³

V(2 m)=(2 m)³=8 m³

Answer:

18

Step-by-step explanation:

Answer:

[tex]x=-36[/tex]

Step-by-step explanation:

[tex]\frac{x}{6} +12=6[/tex]

[tex]\frac{-36}{6} +12=6[/tex]

[tex]-6+12=6[/tex]

Hence, x = -36

Answer:

X = -36

Step-by-step explanation:

x/6 + 12 = 6

-12         = -12

x/6 = -6

(6) = (6)

 x = -36

Answer: 1.67 mph

Step-by-step explanation:

Given

Sam walk one-third of a mile in 12 minutes

There is 60 minutes in an hour i.e. Sam take

[tex]\Rightarrow t=\dfrac{12}{60}\\\\\Rightarrow t=0.2\ hr[/tex]

Average speed is given by

[tex]\Rightarrow v_{avg}=\dfrac{\text{distance}}{\text{time taken}}\\\\\Rightarrow v_{avg}=\dfrac{\frac{1}{3}}{0.2}\\\\\Rightarrow v_{avg}=\dfrac{5}{3}\ \text{or}\ 1.67\ mph[/tex]

The solution is Option C.

The graph which represents the inequality equation is

f ( x ) = { 0.50 , if x < 3

             1       , if 3 ≤ x < 6

             1.50  , if 6 ≤ x < 9

             2.00 , if 9 ≤ x < 12 }

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the number of years be = x

Let the increment in wages be = y

Now , the equation will be

For the employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour

So , the inequality equation is x < 3 , f ( x ) = 0.50

Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00

So , the inequality equation is 3 ≤ x < 6 , f ( x ) = 1

Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour

So , the inequality equation is 6 ≤ x < 9 , f ( x ) = 1.50

Employees of at least nine years, but less than twelve years receive an increase of $2.00

So , the inequality equation is 9 ≤ x < 12 , f ( x ) = 2

Therefore , the graph which represents the solution is Option C.

Hence , the inequality equation is 9 ≤ x < 12 , f ( x ) = 2

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ2

Answer:

x =52

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles.  (Exterior Angle Property)

x+72 = 90+34

x+72 = 124

x+72-72 = 124 - 72

x =52

20%

Hope this helps! :)

______________

Answer:

It should be 74+(-28) as 2 signs can bit be put together.

74+(-28)

=74-28 (sign only changes when there is (minus) before it

=48

We are not putting a minius (-) as 74 is digger that 28 and it has plus (+) before it.

I HOPE IT HELPS

HAVE A GREAT DAY

[tex]#Liliflim✌[/tex]

Answer:

2

Step-by-step explanation:

20%---4

20%---4

20%---4

15%---3

15%---3

10%---2

4-2=2

Answer:

2 scoops

Step-by-step explanation:

Hi there!

What the question tells us:

1) Determine the number of chocolate ice cream sales

The circle graph tells us that 20% of the scoops were for chocolate. To find the number of chocolate scoops, determine 20% of 20, which is the total number of scoops.

20 × 20%

Change 20% into a decimal

= 20 × 0.2

= 4

Therefore, the ice cream shop sold 4 scoops of chocolate ice cream.

2) Determine the number of strawberry ice cream sales

The circle graph also tells us that 10% of the scoops were for strawberry. To find the number of strawberry scoops, determine 10% of 20.

20 × 10%

Change 10% into a decimal

= 20 × 0.1

= 2

Therefore, the ice cream shop sold 2 scoops of strawberry ice cream.

3) How many more of these scoops were chocolate than strawberry?

[# chocolate ice cream sales] - [# strawberry ice cream sales] = ?

4 - 2 = ?

4 - 2 = 2

Therefore, 2 more of these scoops were chocolate than strawberry.

I hope this helps!

Rewrite 50% as a decimal : 0.50

Multiply the price by 0.50:

18 x 0.50 = 9

The sale price is $9

Answer:

$9

Step-by-step explanation:

price of an item=$18

discount=50%

sale price =? (be x)

sale price= original price -discount% of original price

x=$18 -50/100 * $18

x=$1800-$900/100

=$900/100

=$9

therefore sale price of an item is $9.

Answer:

29/56

Step-by-step explanation:

Here we're combining two fractions of different denominators, 7 and 8.  The LCD is the product of 7 and 8:  56.

1/7 is rewritten as 8/56 and 3/8 as 21/56.

Summing these up, we get 29/56

Answer:

it should be d or c

Step-by-step explanation:

Answer:

option A : about 2.8 units

Step-by-step explanation:

To find the distance from P to RQ , Find the distance from ( 1 , 1) to (3 , 3).

 [tex]Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

                 [tex]= \sqrt{(3-1)^2 + (3-1)^2}\\\\= \sqrt{2^2 + 2^2 }\\\\= \sqrt{4 + 4 }\\\\= \sqrt{8}\\\\=2\sqrt{2}[/tex]

                 = 2.83 units

Answer:

A

Step-by-step explanation:

Remark

The distance you want is the point P to the (3,3). Then two lines meet as these two do, the shortest distance is the right angle distance. And that is how distance is defined.

Formula

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2  )

Givens

x2 = 1

x1 = 3

y2 = 1

y1 = 3

Solution

d = sqrt( (1 - 3)^2 + (1  - 3)^2 )

d = sqrt( (-2)^2 + (-2)^2 )

d = sqrt ( 4 + 4)

d = sqrt(8)

d = 2√2

d = 2.8

Answer:

x = -2, y = 5/3

Step-by-step explanation:

we have the value of x already (-2).

x=-2

Plug it into the first equation y = 2/3x+3

y = 2/3(-2)+3

y = -4/3+3

y = -4/3+9/3

y = 5/3

x = -2, y = 5/3

Answer:

12

Step-by-step explanation:

f(-7) = 5-(-7)=5+7=12

Answer:  

30 + 6x inches

Step-by-step explanation:  

Let the required number be x

If the length of the triangle for the pool table is twice the sum of 5 and a number

L = 2(5+x)

L = 10+2x

Since the triangle is quadrilateral, this means that all sides are equal

Perimeter = 3L

Perimeter = 3(10+2x)

Perimeter = 30+6x

Hence the perimeter, in inches, of the triangle is 30 + 6x inches

Answer:

575.71

Step-by-step explanation:

Year 1: 960 x .88 (100%-12%)=844.80

Year 2: 844.80 x .88 =743.424

Year 3: 743.424x.88=654.21

Year 4: 654.21 x .88=575.71

Answer:

sometimes

Step-by-step explanation:

Answer:

8/12 = x/14

Not sure if this is a proportion but this is how I would solve it.

Answer: do you have this in english so that I can help

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Find the graph that shows temperatures decreasing. Two of the graphs show that it's decreasing; C and D. When something is in a constant rate, it is going to be a straight line (doesn't mean it can't be slanted!). Therefore it is C.

Answer:

1st option

Step-by-step explanation:

Solving the inequality

5.25 - b ≥ 6.5 ( subtract 5.25 from both sides )

- b ≥ 1.25

Divide both sides by - 1, reversing the symbol as a result of dividing by a negative quantity.

b ≤ - 1.25

Since less than or equal to the number line will have a solid circle at - 1.25 and the arrow pointing left.

The solution is represented on the first diagram

Answer:

AB = 8.66 m

Step-by-step explanation:

Here, we want to get the length AB

What we have is a right triangle

so to get the length AB, we are going to use the appropriate trigonometric ratio

From the question, AB faces the given angle and that makes it the opposite

AC faces the right angle and that makes it the hypotenuse

The relationship between the hypotenuse and the opposite can be defined by the sine

the sine of an angle is the ratio of the length of the opposite to the hypotenuse

so, we have it that;

sine 60 = AB/10

AB = 10 * sine 60

AB = 8.66 m

Answer:

971 m to nearest metre

Step-by-step explanation:

training distance = 5*2*(260 + 480) m  

Diagonal distance = √(2602 + 4802) m

Heavy rain training distance = 5*(260 + 480 + √(2602 + 4802)) m

Difference between these:

5 × 2  × ( 260 + 480 ) - 5 ×( 260 + 480  + √ 260 ^ 2 + 480 ^ 2 )

   = 970 . 5311872087638744

difference = 971 m to nearest metre

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

1. [tex]Area = 28.26[/tex]

2 and 3: See explanation

Step-by-step explanation:

Solving (1)

[tex]r = 3[/tex] --- radius

The area is:

[tex]Area = \pi r^2[/tex]

[tex]Area = 3.14* 3^2[/tex]

[tex]Area = 28.26[/tex]

There are no enough information to solve (2) and (3) as the radius and/or diameter are not provided.

However, the following formula will be used to calculate the required areas.

[tex]Area = \pi r^2[/tex] --- same process as (1)

Answer:

Surface area = 162 m^2

Step-by-step explanation:

Below is the given values:

Length of cuboid = Height of cuboid

The volume of the cuboid = 108 m^3

The breadth of the cuboid = 12 m

Now use the volume formula:

Volume = area of one surface × height

Volume = (L x B) * H

(L x 12) * H = 108       (L = H)

L x 12 x L = 108

L^2 = 108/12

L = 3 m

Thus length and height is = 3m

Surface area = 2 (L x B + b x h + L x h)

Surface area = 2 (3 x 12 + 12 x 3 + 3x 3)

Surface area = 162 m^2