–3(c – 1) = 33
please help me

Answer:

162cm squared

Step-by-step explanation:

The perimeter of a rectangle can be calculated by length+length+width+width.

We know the length is 18, so our equation of finding the width is:

54-(18*2) divided by 2.

54-36=18.

18/2=9.

The area of a rectangle can be calculated by length * width. We already have the length, and now we have the width.

18*9=162

Answer:

BCA

Step-by-step explanation:

Answer:

scalene acute triangle

Step-by-step explanation:

By looking at the side lengths, we can see that all of them are different, meaning the triangle is scalene. Next, we can notice that all of the angles are less than 90 degrees, meaning the triangle is acute. Putting this together, we get the triangle is a scalene acute triangle.

Answer:

11.7 units

Step-by-step explanation:

sq root(2--4)^2+(-7-3)^2

sq root(6)^2 + (-10)^2

sq root (36)+(100)

sq root 136

equals 11.66 which rounds up to 11.7

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{x}{\sqrt{2} }[/tex]

Multiply numerator/ denominator by [tex]\sqrt{2}[/tex] to rationalise the denominator

= [tex]\frac{x\sqrt{2} }{\sqrt{2}(\sqrt{2}) }[/tex]

= [tex]\frac{x\sqrt{2} }{2}[/tex] → A

Answer:

11.2

Step-by-step explanation:

If the rectangulars are similar then we can use similarity ratio to calculate value of x

CD is similar to RS and AB is similar to QP

4/6.4 = 7/x cross multiply expressions

4x = 44.8 divide both sides by 4

x = 11.2

Answer:

To find the diameter divide the circumference by pi

10÷3.14

=3.2 mm

Answer:

17m2

i think it is a right answer

Area of the circular sidewalk around flowerbed is 314 m² .

Area is the amount of space occupied by a two-dimensional shape. That is, it is a quantity that measures the number of unit squares that cover the surface of a closed figure. Standard area unit is square unit.

Given,

Diameter of flowerbed = 21m

radius = diameter/2 = 21/2 = 10.5 m

Area of flower bed A

= πr²

= 3.14(10.5)²

= 3.14(110.5)

= 346.185 m²

width of the sidewalk = 4m

radius of flower bed with sidewalk = 10.5 + 4 = 14.5m

Area of flower bed with sidewalk A'

= 3.14(14.5)²

= 3.14(210.25)

= 660.185 m²

Area of the sidewalk

= A' - A

= 660.185 - 346.185

= 314 m²

Hence, 314 m² is area of the circular sidewalk around flowerbed.

Learn more about area here:

https://brainly.com/question/27683633

#SPJ7

Answer:

h=10

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

3/7 = h/14- 2/7

3/7=h/14 - 4/14

7/14 - 4/14 = 3/7

(4/14 is the same as 2/7)

Answer:

i) The angular difference in their longitude is approximately 50.65°

ii) The line of longitude where B is located is approximately 30.65°E

Step-by-step explanation:

The given parameters are;

The angle of latitude where the points A and B are located = 60°S

The distance between points A and B = 2,816 km

(i) The angular difference in their longitude, θ, is given as follows;

θ = 2,816/(2 × π × 6,371 × cos(60°)) × 360 ≈ 50.65°

The angular difference in their longitude, θ ≈ 50.65°

(ii) The location of the point A relative to B = Due west

The line of longitude on which A is located = 20°W

∴ The line of longitude where B is located, P = θ - 20°

∴ P = 50.65° - 20°W = 30.65°E

The line of longitude where B is located ≈ 30.65°E.

Answer:

Step-by-step explanation:

Given system:

The first equation is a horizontal line, the second equation is a line with a slope of -3.

Since the lines have different slopes, they intersect at one point.

As there is one intersection, the system has one solution.

Answer: 108° ; 165°

Step-by-step explanation:

180(n - 2) is the formula to figure out the total degrees in a polygon.

A pentagon has 5 sides, so:

180(5-2) = 180(3) = 540°

Divide the total degrees by the number of angles (a pentagon has 5 angles):

540° ÷ 5 = 108°

24-gon:

180(24 - 2) = 180(22) = 3960°

3960° ÷ 24 = 165°

Answer: 108° ; 165°

Step-by-step explanation:

180(n - 2) is the formula to figure out the total degrees in a polygon.

A pentagon has 5 sides, so:

180(5-2) = 180(3) = 540°

Divide the total degrees by the number of angles (a pentagon has 5 angles):

540° ÷ 5 = 108°

24-gon:

180(24 - 2) = 180(22) = 3960°

3960° ÷ 24 = 165°

Answer:

No because 3/4 is equal to 0.75 and 0.75 is not equal to 0.34

Step-by-step explanation:

Answer:

No. 3/4 is equavilent to 0.75 not 0.34.

Answer:

Volume of prism = 6.3 cm³

Step-by-step explanation:

Given:

Dimensions of parallels line = 2.3 and 1.2 cm

Height of prism = 1.8 cm

Width of prism = 2 cm

Find:

Volume of prism

Computation:

Volume of prism = Area of base x Width

Volume of prism = [(1/2)(sum of parallels line)(Height)]Width

Volume of prism = [(1/2)(2.3 + 1.2)(1.8)]2

Volume of prism = [(1/2)(3.5)(1.8)]2

Volume of prism = [(3.5)(1.8)]

Volume of prism = 6.3 cm³

Answer:

$21,200

Step-by-step explanation:

Given the best fit equation:

y= 34,000 - 1,600x

Where ;

y = value of vehicle in $

x = Age of vehicle in years

The predicted value of vehicle aged 8 years ;x = 8

y = 34000 - 1600(8)

y = 34000 - 12800

y = 21,200

Hence, the predicted value of car aged 8 years is $21,200

Answer:

15 (C)

Step-by-step explanation:

everything else equals 125

Answer:

C. 15

Step-by-step explanation:

5*5*5, 5^3, and 5^2*5 all equal 125

Answer:

10 girls

11 boys

Step-by-step explanation:

set up a system of equations:

b represents boys, g represents girls

b+g=21           (since there is a total of 21 students)

11b+13g=251   (since each boy has 11 pockets, each girl has 13, total of 251)

i chose the method of substitution, so i solved the first equation to get

b=21-g

then i substitute 21-g for b in the second equation, and solve:

11(21-g)+13g=251

231-11g+13g=251

2g+231=251

2g=20

g=10

then, i solved for boys (by choosing the top equation and substituting 10 for g, since we now know that g=10)

b+g=21

b+10=21

b=11

so there are 10 girls and 11 boys in this class

There are 10 girls and 11 boys in the class.

"It is a statement which consists of equal symbol between two mathematical expressions."

"It is a finite set of equations for which we find a common solution."

For given example,

Let 'x' be the number of girls and 'y' be the number of boys.

Each boy in a class has 11 pockets and each girl in the class has 13 pockets.

And in this class if all 21 students have a total of 251 pockets.

So, we have system of equations,

⇒ x + y =21                                 .......................(1)

⇒ 13x + 11y = 251                        .......................(2)

From equation (1),

x = 21 - y                                  ......................(3)

Substitute this value of 'x' in the equation (2),

⇒ 13(21 - y) + 11y = 251

⇒ 273 - 13y + 11y = 251

⇒ 273 -2y - 273 = 251 - 273

⇒ -2y = -22

⇒ y = -22 / -2

⇒ y = 11

This means, there are 11 boys in the class.

Substitute the value of 'y' in equation (3),

⇒ x = 21 - 11

⇒ x = 10

This means there are 10 girls in the class.

Therefore, there are 10 girls and 11 boys in the class.

Learn more about system of equation here:

https://brainly.com/question/12895249

#SPJ2

Answer:

y = 3x + 5

Step-by-step explanation:

Slope intercept form is

y = mx + b

where m is the slope and b is the y-intercept

Given m = 3 and b = 5

y = 3x + 5

Answer:

0-1  Integers are whole numbers

Step-by-step explanation:

Answer:

1. Y=-2x+3

2. Y=3x+2/3

I'm sorry I can't get them all but I know these are right

Answer:

C 10

Step-by-step explanation:

1 1/14 of a dozen is 15

then 150 divided by 15 = 10

I hope this is the right answer