A car is traveling at a steady speed. It travels 2 1/2 miles in 3 1/3 minutes. How far will it travel in 41 minutes? In 1 hour

Answer:

42.8°

Step-by-step explanation:

The sine rule states that for a triangle with lengths of a, b and c and the corresponding angles which are opposite the sides as A, B and C, then the following rule holds:

[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)} =\frac{c}{sin(C)}[/tex]

Given that points A, B and C forms a triangle with angle A = 65°, distance from A-to-C = 90 m and the distance from B to C = 120 m.

The distance from A to C is the side opposite to angle B. Hence let b =  distance from A to C = 90 m.

The distance from B to C is the side opposite to angle A. Hence let a =  distance from B to C = 120 m.

Therefore using sine rule:

[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)} \\\\\frac{120}{sin(65)}=\frac{90}{sin(B)} \\\\sin(B)=\frac{90*sin(65)}{120} \\\\sin(B) =0.6797\\\\B=sin^{-1}(0.6797)\\\\B=42.8^o[/tex]

Answer:i think x=141

Step-by-step explanation:i agree

Answer:

Hope it helped

Step-by-step explanation:

Answer:

x = ½

Step-by-step explanation:

16=8x+6×(2)

16=8x + 12

16 - 12= 8x

4 = 8x

x= 4/8

x = ½

Answer:

The answer is y=5

Step-by-step explanation:

3y=15

you divide 3 into 3 and 15

3y/3=15/3

    y=5

Answer:

Option C.  356 gidgets

Step-by-step explanation:

we have  R(x) ----> the monthly revenue function  C(x) ---> the monthly cost function  x ----> the number of gidgets sold we know that  Break-even means that the revenue equals cost  so  solve for x

Answer:-492

Step-by-step explanation:

1. calculate within parentheses (31-4):27

=-21 x 27 +75

2.multiply and divide(left to right) -21 x 27:=-567

=-567+75

3. add and subtract (left to right)-567+75:-492

=-492

Answer:Ana is correct because 8/20=2/5

Step-by-step explanation:

hight plus shadow hight! <3

The height of the building is 12 ft.

The correct relationship between the size of different parts of the same thing, or between one thing and another.

Given that, Mark is 6ft tall and casts a 15 ft shadow. At the same time of day, a nearby building casts a 30ft shadow.

The proportion here is, 6/15

Let the height of the building be x,

6/15 = x/30

x = 12

Hence, The height of the building is 12 ft.

For more references on proportion, click;

https://brainly.com/question/2548537

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Given :

☄ Radius of circular pond = 6 m

☄ The path has a width = 1 m

To Find :

☄ Area of the path = ?

Formula we have to use here :

☄ Area of path = Length of path × width

☄ Length of path = Circumference of pond

Solution :

☄ Area of the path is 37.72 m²

Required Explaination :

☃ Length of path = Circumference of pond ☃

Now, subsitute the given values in above formula we get :

→ Length of path = Circumference of pond

→ Length of path = 2πr

→ Length of path = 2 × 22/7 × 6

→ Length of path = 264/7 m

Now,let's find the area of the path :

→ Area of path = Length of path × width

→ Area of path = 264/7 × 1

→ Area of path = 37.72 m²

Answer:

110 for every 2 minutes because 290 - 180 gives you 110 every 2 minutes

Answer:

x=12

Step-by-step explanation:

24÷(27÷9)=6x

x=12

Answer: 750 miles

Step-by-step explanation:

The gas mileage is 75 miles per 1/2 gallon of gasoline.

First find how many miles it can go on 1 gallon of gasoline:

= 75 ÷ 1/2

= 150 miles

If the scooter can go 150 miles on 1 gallon, the number of miles it will go on 5 gallons is:

= 5 * 150

= 750 miles

Answer:

You would say miles per hour.

Answer:

age, horsepower, weight

Step-by-step explanation:

Answer:

the age, horsepower of engine, and weight

Step-by-step explanation:

the interior and place you purchased it has nothing to do with the gas mileage.

Answer:

300 apples

Step-by-step explanation:

4500/15 = 300 apples

Answer: 300

Step-by-step explanation:

Answer:

B.20x + = 5x + 11

hope it's helpful ❤❤❤❤❤

THANK YOU.

Answer: 3

Step-by-step explanation:

Answer: 3

Step-by-step explanation: the equation is the question. XD

Answer:

Step-by-step explanation:

How many 3/8 are in 5/4? We can set this number as x. Therre are x number of 3/8 that make up 5/4:

Therefore the PART A is: x* 3/8 = 5/4

On the other hand, 5/4 / 3/8 = x (this is just the reverse of what I mentioned earlier)

I hope this helps! :)

Answer:

x(x+3)(x-3)

Step-by-step explanation:

x(x+3)(x-3)

x(x²-9)

x³-9

Answer:

(5+6b^3)(5+6b^3)

25+30b^3+30b^3+36b^6

36b^6+60b^3+25

I hope this helps:

Answer:

A: y=6x

B: A

Step-by-step explanation:

A: Rise over run

B: You can use the points to determine the answer, 6(2)=12 (2,12) 6(3)=18 (3,18)

I just know the greatest common factor is 2ab

But i don’t know if it is foil method but I still don’t know how to put it in that format

Answer:

∠J is 68

Step-by-step explanation:

Let x be ∠J and y be ∠L

x=3y+2

x=90-y

90-y=3y+2

4y=88

y=22

x=90-22

x=68

Answer:

1. 70°

2. 42°

Step-by-step explanation:

they are both isosceles Triangles as both diagrams state that they have two sides the same length. therefore their base angles will be equal.

1. 55 + 55 = 110

180 - 110 = 70°

2. 180 - 96 = 84

84/2 = 42°

Answer:

C

Step-by-step explanation:

The secant- secant angle SPR is half the difference of the intercepted arcs, that is

55° = [tex]\frac{1}{2}[/tex] (RS - QT ) ← multiply both sides by 2

110° = RS - QT = RS - 50° ( add 50° to both sides )

160° = RS → C

Answer:

Always, Have a great day/night!

Always

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