MATHEMATICS COLLEGE

Find the perimeter of WXYZ. Round to the nearest tenth if necessary.

Answers

Answer 1

Answer:

C. 15.6

Step-by-step explanation:

Perimeter of WXYZ = WX + XY + YZ + ZW

Use the distance formula, $d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)$ to calculate the length of each segment.

✔️Distance between W(-1, 1) and X(1, 2):

Let,

$W(-1, 1) = (x_1, y_1)$

$X(1, 2) = (x_2, y_2)$

Plug in the values

$WX = √((1 - (-1))^2 + (2 - 1)^2)$

$WX = √((2)^2 + (1)^2)$

$WX = √(4 + 1)$

$WX = √(5)$

$WX = 2.24$

✔️Distance between X(1, 2) and Y(2, -4)

Let,

$X(1, 2) = (x_1, y_1)$

$Y(2, -4) = (x_2, y_2)$

Plug in the values

$XY = √((2 - 1)^2 + (-4 - 2)^2)$

$XY = √((1)^2 + (-6)^2)$

$XY = √(1 + 36)$

$XY = √(37)$

$XY = 6.08$

✔️Distance between Y(2, -4) and Z(-2, -1)

Let,

$Y(2, -4) = (x_1, y_1)$

$Z(-2, -1) = (x_2, y_2)$

Plug in the values

$YZ = √((-2 - 2)^2 + (-1 -(-4))^2)$

$YZ = √((-4)^2 + (3)^2)$

$YZ = √(16 + 9)$

$YZ = √(25)$

$YZ = 5$

✔️Distance between Z(-2, -1) and W(-1, 1)

Let,

$Z(-2, -1) = (x_1, y_1)$

$W(-1, 1) = (x_2, y_2)$

Plug in the values

$ZW = √((-1 -(-2))^2 + (1 - (-1))^2)$

$ZW = √((1)^2 + (2)^2)$

$ZW = √(1 + 4)$

$ZW = √(5)$

$ZW = 2.24$

✅Perimeter = 2.24 + 6.08 + 5 + 2.24 = 15.56

≈ 15.6

Answer 2

Answer:

Answer:CCCCCCCCCCCCCCCCC

Step-by-step explanation:

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ASAP Find the slope of The ordered pairs (0,-17),(2,13)

Answers

Answer:

m=15

Step-by-step explanation:

Answer:

1 5

Step-by-step explanation:

Use the product rule to answer each of the questions below. Throughout, be sure to carefully label any derivative you find by name. It is not necessary to algebraically simplify any of the derivatives you compute.a. Let m (w) = 3 w^17 4^w. Find m ′(w) .
b. Let h (t) = ( sin (t) + cos (t)) t 4. Find h ′(t).
c. Determine the slope of the tangent line to the curve y = f (x) at the point where a = 1 if f is given by the rule f(x) = e^x sin (x).
d. Find the tangent line approximation L(x) to the function y = g (x) at the point where a = − 1 if g is given by the rule g (x) = ( x^2 + x ) 2^x .

Answers

Answer:

A) M'(w) = w^16 * 4^w [ 51 + 3w In4 ]

B) h'(t) = [ cos (t) - sin (t) ] t^4 + [ sin(t) + cos (t) ] 4t^3

C) f'(1) = e' [sin(1) + cos(1) ]

D) g'(a) = 0 - 1/2

L(x) = - 1/2 ( x + 1 )

Step-by-step explanation:

Attached below is the detailed solution of the problem

A) m(w) = 3w^17 * 4^w

M'(w) = w^16 * 4^w [ 51 + 3w In4 ]

B) h(t) = [sin(t) + cos(t) ] t^4

h'(t) = [ cos (t) - sin (t) ] t^4 + [ sin(t) + cos (t) ] 4t^3

C) f(x) = e^x sin (x). at a = -1

f'(1) = e' [sin(1) + cos(1) ]

D) g (x) = ( x^2 + x ) 2^x .

g'(a) = 0 - 1/2

L(x) = - 1/2 ( x + 1 )

Greatest common factor for 30 abd 42

Answers

Answer:

Step-by-step explanation:

Because you are familiar with your times tables, you know that ...

30 = 6·5

42 = 6·7

The greatest common factor is 6.

X intercept for -3x+10

Answers

Answer:

(10/3, 0)

Step-by-step explanation:

(10/3, 0)

how this helps

In country A, about five times as many cars are manufactured per day than in country B. If the total number of these cars manufactured per day is 39,612, find the number manufactured in country B and the number manufactured in country A.

Answers

Let x be the number of cars manufactured per day in county A.
Let y be that of cars manufactured per day in county B.

x+y= 39,612
but x= 5y..... equation (1)
So: 5y+y= 39,612
6y= 39,612
y= 6,602 cars
Substitute y= 6,602 in equation (1):
x= 5(6,602)
x= 33,010
So the number manufactured in county A is 33,010 cars and the number manufactured in county B is 6,602 cars.

Final answer:

By using proportions and basic arithmetic, we find that country B produces 6602 cars per day and country A produces 33,010 cars per day.

Explanation:

The problem here is based on proportions. Since it is given that country A produces about five times as many cars as country B, if we denote the number of cars produced in country B as 'x', then the number of cars produced in country A would be '5x'.

According to the problem, the total number of cars produced in both countries is 39,612. Hence, we can set up the equation x + 5x = 39612, which simplifies to 6x = 39612. To find the value of 'x', we divide both sides of the equation by 6. The resulting value of 'x' (the number of cars produced in country B) is 6602 cars. Multiply this by 5 to find the number of cars produced in country A, which comes up to 33,010 cars.

Learn more about Proportions here:

brainly.com/question/32430980

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Manufactured bolts can’t be too long or too short or they might not fit where they need to. Help determine which bolts will work and which won’t. Show your work for all steps.A machine makes bolts that are 12 mm long. The bolts are considered acceptable if they are within 0.2 mm of 12 mm.  
What is the longest the bolt can be and still be acceptable?

What is the shortest the bolt can be and still be acceptable?

Answers

Answer:

longest: 12.2 mm
shortest: 11.8 mm

Step-by-step explanation:

The longest acceptable bolt is one that is longer than the mid-range value by an amount equal to the difference limit, 0.2 mm

12 mm + 0.2 mm = 12.2 mm . . . . longest acceptable bolt

The shortest acceptable bolt is one that is shorter than the mid-range value by an amount equal to the difference limit.

12 mm - 0.2 mm = 11.8 mm . . . . shortest acceptable bolt

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