Irene faced north. She turned 270 ° to the left and then 90 ° more to the left.
In what direction is Irene now facing?

Answer:

5/7 or 0.71 is the answer

Answer:

55.1 ft ; 236.7 ft^2

Step-by-step explanation:

radius = 7.5 ft

Perimeter of the semicircles = 2 * radius * pi = 2 * 7.5 * pi = 47,12389 ft

Perimeter of the rectangle = 4 * 2 = 8 ft

Total perimeter = 55,12389 ft

Area of the semicircles = radius^2 * pi = 7.5^2 * pi = 176,714587 ft^2

Area of the rectangle = 4 * 15 = 60 ft^2

Total area = 236,714587 ft^2

√9 is rational and √3 irrational number

Answer:

The surface area of the cube is 294 m^2

Step-by-step explanation:

The formula for the surface area of a cube is:

(a^2) 6

Explanation behind formula:

a represents the side length. a^2 is the area of one face of the cube. Multiply that by 6 because there are 6 faces on a cube.

(Surface area- the area of each face of a figure)

Use formula with the given:

(7^2) 6 = 294

Surface area is measured in square meters.

(meters in this situation)

Therefore, the surface area of the cube is

294 m^2

Hope this helps!

Answer:

294

Step-by-step explanation:

formula is = 6(side length)^2

6x(7)^2

=294

Answer:

A ∩ B

Step-by-step explanation:

The shaded part is in common between the two diagrams

We can write this part in this way :

A ∩ B

Answer:

First Option

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

its the correct answer

Hope this helps:)

Answer:

$240

Step-by-step explanation:

They spend 5% of their monthly income on transportation, so you want to work out 5% of 4800.

An easy trick with 5% is to divide by 10 (drop the ending 0) and then divide by 2. This would be 4800/10/2, or 480/2, which gives 240.

**This content involves using percentages which you may wish to revise.

Answer:

Red=10 Pink=30

Step-by-step explanation:

you said for every litres of red; therefore, you need 3 litres of pink paint. So the steps are like this 3+1(P+R) ........... you need 30 litres pink and 10 litres red

Answer:

The answer is A

Step-by-step explanation:

C’(4, –2)

The coordinates of C' are (1, 0)

A translation moves a shape up, down or from side to side, but it does not change its appearance in any other way.

Given that, On a coordinate plane, triangle A B C has points (-2, -1), (-2, -3), (-5, -1).

When Triangle ABC is translated 6 units to the right and 1 units up.

We know that rule for translating b unit up and a unit right is

(x, y) → (x+a, y+b)

Hence, the coordinates for C' =

(-5, -1) = (-5+6, -1+1) = (1, 0)

Hence, the coordinates of C' are (1, 0)

For more references on translation, click;

https://brainly.com/question/12463306

#SPJ6

9514 1404 393

Answer:

  9

Step-by-step explanation:

The triangles are similar, so corresponding sides are proportional.

  AE/AD = EC/DB

  (x+3)/(x -1) = x/(x -3)

  x^2 -9 = x^2 -x . . . . . . . cross multiply

  x = 9 . . . . . . . . . . . add x+9-x^2 to both sides

Answer:

2400

2640

360

Step-by-step explanation:

I am not sure the description is totally clear.

my assumptions are (based on my interpretations of the text) :

the retailer buys from the dealer with 15% discount.

but the retailer has to sell the jacket for the same price as the dealer.

so, both mark the sale price as 2400.

if the customer buys from the retailer, the retailer makes 15% profit (the discount he got from the dealer).

15% = 2400 × 15/100 = 24 × 15 = 360

the retailer makes this profit no matter what other fees or taxes are added.

if the customer buys from the dealer, the dealer makes these 15% and some more (we don't know how much) profit.

now, the final price is to include also 10% VAT

100% = 2400

1% = 2400 / 100 = 24

10% = 24 × 10 = 240

so,

final price = SP + VAT = 2400 + 240 = 2640

Answer:

y = 91

Step-by-step explanation:

y = 5² + 10(5) + 16

y = 25 + 50 + 16

y = 91

Answer:

The image point is (-1,-2)

Step-by-step explanation:

Firstly, we have to reflect the given point over the line y = -x after which we perform the translation using the coordinate (5,2)

Mathematically;

If we reflect a point (x,y) over the line y = -x

we have the coordinate change to (-y,-x)

so, (4,6) becomes (-6,-4)

Then for the translation, we add 5 to the new x-axis coordinate, then add 2 to the new y-axis coordinate

we have this as;

(-6 + 5, 2-4) = (-1,-2)

Answer:

D

Step-by-step explanation:

its just rabdom numbers

Answer:

D thats just a number no sequence or any thing

Step-by-step explanation:

Answer:

PQ = 46

Step-by-step explanation:

The midsegment ST is half the length of the third side PQ , that is

ST = [tex]\frac{1}{2}[/tex] PQ , so

5x - 22 = [tex]\frac{1}{2}[/tex] (3x + 19) ← multiply both sides by 2 to clear the fraction

10x - 44 = 3x + 19 ( subtract 3x from both sides )

7x - 44 = 19 ( add 44 to both sides )

7x = 63 ( divide both sides by 7 )

x = 9

Then

PQ = 3x + 19 = 3(9) + 19 = 27 + 19 = 46

Given:

In the first year, the car will decrease in value by 25%.

The cost of a car is Rs. 200,000.

To find:

The worth of the car after 1 year.

Solution:

The cost of a car is Rs. 200,000 and in the first year the car will decrease in value by 25%. So, the worth of the car after 1 year is:

[tex]Worth=200000-\dfrac{25}{100}\times 200000[/tex]

[tex]Worth=200000-\dfrac{1}{4}\times 200000[/tex]

[tex]Worth=200000-50000[/tex]

[tex]Worth=150000[/tex]

Therefore, the worth of the car after 1 year is Rs. 150,000.

Answer: F. is a linear relation.

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

Equation of the eventual line:

(y-4)/(5-4) = x

y-4 = x

y = x + 4

this equation can’t be used to determine the last three values. In fact, for examples:

7 = 2 + 4

7 = 6 (false)

So the relation is non linear

Answer:

Volume of cone = 33.49 inch³

Step-by-step explanation:

Missing information;

Height of cone = 8 inch

Diameter of cone = 4 inch

Find:

Volume of cone

Computation:

Radius of cone = Diameter of cone / 2

Radius of cone = 4 / 2

Radius of cone = 2 inch

Volume of cone = [1/3][πr²h]

Volume of cone = [1/3][(3.14)(2)²8]

Volume of cone = [1/3][(3.14)(4)8]

Volume of cone = [1/3][(3.14)(32)]

Volume of cone = [1/3][100.48]

Volume of cone = 33.49 inch³

Answer:

First Term = 6

Common Ratio = 3

Step-by-step explanation:

According to the Question,

Thus, [tex]S_{8} = 19680[/tex] & [tex]S_{4} = 240[/tex] .

Now, on solving  [tex]\frac{S_{8} }{S_{4} }[/tex]  we get,

[tex]\frac{19680}{240} = \frac{\frac{a(r^{8-1)} }{r-1}}{\frac{a(r^{4-1)} }{r-1}}[/tex]  

[tex]82 = \frac{r^{8}-1 }{r^{4}-1 }[/tex]

[tex]82r^{4}-82 = r^{8}-1\\r^{8}-82r^{4}+81 = 0\\r^{8}-81r^{4}-r^{4}+81 = 0\\(r^{4}-81)( r^{4}-1) =0[/tex](r=1 is not possible so neglect [tex]( r^{4}-1) =0[/tex] )

So, r=3 Now Put this value in [tex]S_{4} = {\frac{a(r^{4-1)} }{r-1}}[/tex] We get a=6 .

Answer:

the answer is c you will thank us later

Answer:

−3x^2+2x /x−2

Step-by-step explanation:

4x−9x^3/ 3x^2−4x−4

=  −9x^3+4x /3x^2−4x−4

=  x(−3x+2)(3x+2) /(3x+2)(x−2)

=  −3x^2+2x /x−2

Answer:

(g+5)x(g-3)

Step-by-step explanation:

Answer:

The point you are rotating at (also called the centre of rotation)

The angle of rotation (usually in degrees but I don't know your school)

Direction of the turn

Step-by-step explanation:

Answer:

this is the accurate answer of your questions

We have a linear function y=kx+b and we know that                                                       [tex]\displaystyle\bf \left \{ {{5*1+c=2} \atop {5p+c=-2}} \right.=>\left \{ {{c=-3} \atop {5p+c=-2}} \right. => 5p-3=-2 => p=\frac{1}{5}[/tex]                                       [tex]\displaystyle\bf Answer: \boxed{C) \quad p=\frac{1}{5} }[/tex]                            

1. Answer is option 3

2. Answer is option 3

Answer:

for #1 it's the 3rd one and for #2 it's the 4th one (2.8 meters)

Answer:

Step-by-step explanation:

answer is   [tex](11010)_{2}[/tex]