PLSSSSS HURRY Brainliset involed

zepelin [54]

Answer:

that's good12 pages=1hour 6 pages= 30 min

7 0

2 years ago

Hi, I am taking PSAT and I am working on the math section. I need help with answering this math type of question. Please give th

ValentinkaMS [17]

By using the concept of uniform rectilinear motion, the distance surplus of the average race car is equal to 3 / 4 miles. (Right choice: A)

<h3>How many more distance does the average race car travels than the average consumer car?</h3>

In accordance with the statement, both the average consumer car and the average race car travel at constant speed (v), in miles per hour. The distance traveled by the vehicle (s), in miles, is equal to the product of the speed and time (t), in hours. The distance surplus (s'), in miles, done by the average race car is determined by the following expression:

s' = (v' - v) · t

Where:

v' - Speed of the average race car, in miles per hour.
v - Speed of the average consumer car, in miles per hour.
t - Time, in hours.

Please notice that a hour equal 3600 seconds. If we know that v' = 210 mi / h, v = 120 mi / h and t = 30 / 3600 h, then the distance surplus of the average race car is:

s' = (210 - 120) · (30 / 3600)

s' = 3 / 4 mi

The distance surplus of the average race car is equal to 3 / 4 miles.

To learn more on uniform rectilinear motion: brainly.com/question/10153269

#SPJ1

4 0

1 year ago

If 5y = 6x + 16 and 9x = 7y-20, what is the value of 3x - 2y?

Law Incorporation [45]

The value of 3x-2y is -4. From the equation 5y=6x=16 and 9x=7y-20 the values of (x,y) is (4,8).

Step-by-step explanation:

The given equations are,

5y=6x+16.......................(1)

9x=7y-20......................(2)

3x-2y...............................(3)

Step:1

Modify the equations (1) and (2) in (x+y=constant) format,

6x-5y=-16.....................(4)

9x-7y=-20....................(5)

Step:2

Equation (4) is multiplied by 7 ( ∵ 7×Eqn(4))

42x-35y=-112..............(6)

Step:3

Equation (5) is multiplied by 5 (∵ 5×Eqn(5))

45x-35y=-100.............(7)

Step:4

Subtracting Equation (6) and (7)

42x-35y=-112

45x-35y=-100

( - )

(42x-45x)+(35y-35y)=(100-112)

(-3x)+(0)=(-12)

x=4

Step:5

Substitute X value in Equation (1),

5y=6x+16...................(1)

where, x=4,

5y= (6×4)+16

5y=40

y= 8

Step: 6

Check for solution, substitute x and y values in equation (2).

9x=7y-20.......................(2)

(9×4)=(7×8)-20

36=36

Step:7

From given, 3x-2y

where, X=4 and y=8

3x-2y = (3×4)-(2×8)

= 12-16

3x-2y = -4

Result:

The value for 3x-2y is -4. The values of (x,y) are (4,8).

5 0

2 years ago

Read 2 more answers

1. Drag and drop an answer to each box to correctly complete the derivation of a formula for the area of a sector of a circle.

N76 [4]

Answer:-

Central angle , Ф/2π , A = Ф/2 r²

The ratio is 1/3 , V = 1/3 Bh

The equation of the circle in standard form is (x - 4)² + (k - 1)² = 25

Step-by-step explanation:

* Lets revise the rules of the area of the sector of a circle

- The area of the sector which has a central angle Ф° is

(Ф°/360°) × πr², where 360° is the measure of the circle and r is

the radius of the circle

- The area of the sector which has a central angle Ф radians is

(1/2) r²Ф

* Lets complete the missing in the 1st picture

- The ratio of the sector's area A to the circle's area is equal to the

ratio of the central angle to the measure of a full rotation of the circle

- A full rotation of a circle is 2π. This proportion can written as

A/πr² = Ф/2π

- Multiply both sides by πr² to get A = Ф/2 r² where Ф is the measure

of the central angle and r is the radius of the circle

* Lets revise the rules of the volume of the prism and the volume

of the pyramid, where they have the same base and height

- The volume of the prism = area of the base × its height

- The volume of the pyramid = 1/3 × area of the base × its height

- From them the ratio of the volume of the pyramid to the volume

of the prism is 1/3

- The formula of the volume of the prism is V = Bh, where B is the

area of the base and h is the height, the formula of the volume

of the pyramid is V = 1/3 Bh

* Lets revise the standard form of the equation of a circle with

center (h , k) and radius r

- The equation is: (x - h)² + (y - k)² = r²

∴ x² - 2hx + h² + y² - 2ky + k² - r² = 0

∵ x² - 8x + y² - 2y - 8 = 0

- Lets equate the two equation

∴ x² - 2hx + h² + y² - 2ky + k² - r² = x² - 8x + y² - 2y - 8 = 0

∵ -2h = -8 ⇒ ÷ -2

∴ h = 4

∵ -2k = -2 ⇒ ÷ -2

∴ k = 1

∵ h² + k² - r² = -8

∴ (4)² + (1)² - r² = -8

∴ 16 + 1 - r² = -8

∴ 17 - r² = -8 ⇒ subtract 17 from both sides

∴ -r² = -15 × -1

∴ r² = 25

* Substitute the values of h , k , r in the equation of the standard

form of the circle

∴ (x - 4)² + (k - 1)² = 25

* The equation of the circle in standard form is (x - 4)² + (k - 1)² = 25

8 0

3 years ago

Is less than y minus 2

kipiarov [429]

Answer:

x < y - 2

-Toodles!~

5 0

2 years ago

Read 2 more answers