What is the sum of 8 + (12)? A.-20 B.-4 C.4 D.20

Answer:

13. 9.77 inches (rounded to 3 s.f.)

14. 249m² (rounded to 3 s.f.)

Step-by-step explanation:

13. To find the arc length, the formula is the angle of the arc out of 360° multiplied by the circumference of the full circle. Circumference of circle: pi × r × 2

[tex]\frac{80}{360}[/tex] × pi × 7 × 2 = 3[tex]\frac{1}{9}[/tex]pi

                       = 9.77 inches (rounded to 3 s.f.)

14. To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r × r

[tex]\frac{285}{360}[/tex] × pi × 10 × 10 = 79[tex]\frac{1}{6}[/tex]pi

                          = 249m² (rounded to 3 s.f.)

Answer:

[tex]924.96\ cm^3[/tex]

Step-by-step explanation:

Given that,

The diameter of a hockey puck, d = 7.6 cm

Height, h = 3.4 cm

We need to find the volume of the volume of a cylindrical package containing six pucks.

Volume of 1 puck,

[tex]V=\pi r^2 h\\\\=3.14\times (3.8)^2\times 3.4\\\\=154.16\ cm^3[/tex]

Volume of 6 pucks,

[tex]V=6\times 154.16\ cm^3\\\\=924.96\ cm^3[/tex]

So, the volume of the 6 puck is [tex]924.96\ cm^3[/tex].

Given the dimensions of a single hockey puck, we want to find the volume of a cylindrical package containing six pucks. We will see that the volume must be 925 cm^3

So the volume of a cylinder of diameter D and height H is:

V = 3.14*(D/2)^2*H

Here we have:

Then the volume of each single puck is:

V = 3.14*(7.6cm/2)^2*3.4cm = 154.16cm^3

Then the volume of a package that contains 6 of these must have at least 6 times that volume:

6*V = 6*154.16cm^2 = 924.96 cm^3

Rounding to the next cubic centimeter we get 925 cm^3

So the volume of the package must be 925 cm^3

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Answer:

There are 4 people in Table A.

Step-by-step explanation:

Let the number of people at Table A be x and the number of people in Table B be x + 2.

[tex]\frac{72}{x}[/tex] = [tex]\frac{108}{x+2}[/tex]

72(x+2) = 108x

72x + 144 = 108x

144 = 108x - 72x

36x = 144

x = 144 ÷ 36

x = 4

Answer:

is there a question?

Step-by-step explanation:

Answer:

2n-7=3n-3

Step-by-step explanation:

2n-7=3n-3

There are 2 n variable tiles and 7 -1 tiles for the first and 3 n variable tiles and  3 -1 tiles for the seconds.

Answer:

1

Step-by-step explanation:

its literally just 1.

Answer:

Step-by-step explanation:

Step one:

given data

we are told that weekly salary is $300

and a commission of 7% of the weekly sales

let the sales be s

7% of s = 0.07s

hence weekly commission = 0.07s

let the total earning be y

the linear model for Mr. Randall earnings is

y=300+0.07s

step two:

For the situation whereby he earned $426

the model is given as

426=300+0.07s

let us solve for s, the sales made

426-300=0.07s

126=0.07s

divide both sides by 0.07

s=126/0.07

s=1800

Hence he made sales of $1800 for that week

Answer:

5-n squared+3 squared

Step-by-step explanation:

♡ The Question ♡      

A map of a trail in a park has a length of 4.5 centimeters from start to finish. The scale on the map states that 2 centimeters represents 3 kilometers.  

What is the actual length of the trail in kilometers?  

* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Answer ♡      

C) 6.75 kilometers!  

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Explanation/Step-By-Step ♡    

No Explanation/Step-By-Step provided!    

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ Tips ♡        

-No tips provided!

The length of the actual trail is required in kilometers.

The actual length of the trail is C) 6.75 kilometers.

It is given that 2 centimeters on the map represents 3 kilometers of actual length.

[tex]2\ \text{centimeters}=3\ \text{kilometers}[/tex]

We need to find what 1 centimeter on the map represents.

So, we divide both sides by 2.

[tex]\dfrac{2}{2}\ \text{centimeters}=\dfrac{3}{2}\ \text{kilometers}=1.5\ \text{kilometers}[/tex]

The length of the trail is 4.5 centimeters in the map. So,

[tex]4.5\ \text{centimeters}=4.5\times 1.5=6.74\ \text{kilometers}[/tex]

Learn more about scale diagrams:

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Answer:

A.

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

The easiest way to solve this is by cross multiplying. We can make an equation to find the answer of this by simply taking a side from each triangle and then the variable and equal side on the other triangle, shown below.

[tex]let \: \: ? = x[/tex]

[tex] \frac{7}{49} = \frac{8}{x} [/tex]

Now we solve with cross multiplication

[tex]7 x = 392 \\ x = 56[/tex]

Now we know the mystery number is 56

Answer:

3/4

Step-by-step explanation:

you start at the y-intercept or 1 and move 4 to the right, then 3 up.

Answer:

3/4 is the slope

Step-by-step explanation:

rise over run

go up 3 and over 4 to find where the line plots its next point

Hope this Helps :)

Answer:

[tex]6w+15[/tex]

Answer:

6w+15

Step-by-step explanation:

You just simplify the expression

Answer:

Prolly cause it's not in slope intercept form.

Step-by-step explanation:

To make the equation into slope-intercept form, first subtract 6x from both sides.

-2y = -6x + 12

Divide everything by -2.

y = 3x - 6

There is your slope-intercept equation. -6 is the y-intercept and 3 is the positive slope.

Please mark me as Brainliest.

Answer:

Baker's Best

Step-by-step explanation:

Given data

For Baker's Best  

5 biscuits and costs $0.69 per can

The cost per  biscuits

=0.69/5

=$0.14 per  biscuit

For Butter Bee Canned

8 biscuits and costs $1.29 per can

The cost per  biscuits

=1.29/8

=$0.16 per  biscuit

Hence the best buy is Baker's Best which offers $0.14 per biscuit

Answer:

A=-10x,B=-4

Step-by-step explanation:

-5x*2=-10x

-2*2=-4

Answer:

3 bottles

Step-by-step explanation:

Given that :

Total liters of fertilizer = 5/7 litres

Amount put into each smaller bottle = 1/5 liters

Number of small bottles filled :

Total liters of fertilizer ÷ amount put into smaller bottles

5/7 litres ÷ 1/5 litres

5 /7 * 5 /1

= 25 / 7

= 3.57

Hence, 3 bootles was filled

Answer:

B

Step-by-step explanation:

Its the only odd number

Answer:

y2-y1/x2-x1 = 3-3/4-(-6) = 0/10

y = mx+b = 3 = 0(4) + B = B = 3

y = mx+b = y = 0x + 3

Step-by-step explanation:

If you know two points on a line, you can use them to write the equation of the line in slope-intercept form. The first step will be to use the points to find the slope of the line. This will give you the value of m that you can plug into y = mx + b. The second step will be to find the y-intercept.

Answer:

7 is your answer your welcome

Step-by-step explanation:

I hope you do well on this quiz. lol, be my friend

Answer:

I believe your answer would be -5 because in the first part of the question, it tells you that ground level is 0. (by saying that when you go up 10 from ground level, you are at postitive (+)10)

so... if you go 5 down from ground level (0), it the same as 0-5 which is -5. hope this helps! :)

Step-by-step explanation:

Answer:

theres no question

Step-by-step explanation:

Answer:

The total cost of meal is $65.34

Step-by-step explanation:

Price of the meal = $54

Sales tax on meal = 6%

Tip given= 15% on pre-tax amount

We need to find total cost of meal.

First finding sales tax amount:

We need to calculate 6% of 54

[tex]6\% \ of \ 54\\=6\% \times 54\\=\frac{6}{100}\times54\\=3.24[/tex]

So, the sales tax would be $3.24

Now, we need to find tip amount

We will find 15% of 54

[tex]15\% \ of \ 54\\=15\% \times 54\\=\frac{15}{100}\times54\\=8.1[/tex]

So, the tip given would be $8.1

The total cost of meal = Price of meal + Sales Tax + Tip

                                      = 54+3.24+8.1

                                      = 65.34

So, the total cost of meal is $65.34

The area of a 2D form is the amount of space within its perimeter. The total surface area of the formed figure is 615.75216 cm².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given that the total surface area of one hemispherical object is 462 square centimeters, therefore, we can write,

The total surface area of the hemisphere = 3πr²

462 cm² = 3πr²

r² = 462/(3π) cm²

r² = 49.0197 cm²

r = 7 cm

Now, when the two hemispheres will be attached, the total surface area of the formed figure will be equal to the total surface area of a sphere,

Therefore, we can write,

Total surface area = 4πr²

                              = 4 × π × (7 cm)²

                              = 615.75216 cm²

Hence, the total surface area of the formed figure is 615.75216 cm².

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Answer:

Area of the new parallelogram = n(b × h)

Step-by-step explanation:

Area of a parallelogram = Base × Height

Let

b = the base

h = the height of the original parallelogram.

Each dimension of a parallelogram is multiplied by a positive number n.

Write an expression for the area of the new parallelogram.

Area of the new parallelogram = Base × Height

Base = b * n

bn

Height = h * n

= hn

Area of the new parallelogram = bn × hn

= n(b × h)

Area of the new parallelogram = n(b × h)