MATHEMATICS HIGH SCHOOL

Paolo wrote the following equation for the perimeter of a rectangle.P=2(l+w)

a. w=P-21
b. w=P-1
c. w=P-21/2
d. w=P+21/2

Answers

Answer 1
Answer: Perimeter = 2(Length + Width)

Perimeter = 2Length + 2Width

Perimeter - 2Length = 2Width

(Perimeter - 2Lenght) / 2 = Width

Answer is C. w = P - 2l/2
Answer 2
Answer:

Answer:

The answer is the option C

W=(P-2L)/(2)

Step-by-step explanation:

we know that

The perimeter of a rectangle is equal to

P=2(L+W)

where

L ---->  is the length side of rectangle

W ----> is the width side of the rectangle

Solve for W

That means -------> isolate the variable W

Divide by 2 both sides

(P)/(2)=W+L

Subtract L both sides

W+L-L=(P)/(2)-L

W=(P)/(2)-L

W=(P-2L)/(2)

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In a game of poker a hand of five cards is dealt to each player from a deck of 52 cards. find the probablility of a hand containing a spade flush.

Answers

Answer:

0.00597

Step-by-step explanation:

Given,

Total number of cards = 52,

In which flush cards = 20,

Also, the number of spade flush cards = 5,

Since,

\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}

Thus, the probability of a hand containing a spade flush, if each player has 5 cards

=\frac{\text{Ways of selecting a spade flush card}}{\text{Total ways of selecting five cards}}

=(^(20)C_5)/(^(52)C_5)

=((20!)/(5!15!))/((52!)/(5!47!))

=(15504)/(2598960)

= 0.00597  

An object travels 8 miles in 20 min at a constant speed. What is the objects speed in miles per hour? A. 32
B. 28
C. 24
D. 20

Answers

20x3 = 60 mins/ one hour
8x3 =24
24mph

A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 16 ft, express the area A of the window as a function of the width x of the window.

Answers

This answer uses NMF for which, if needed, the syntax can be found in my profile. Please ignore the LaTeX (the image), I cannot remove it/change it, and it is incorrect. The answer is: f(x)={π{{x}^{2}}/{4}+x(16-{πx}/{2}-x)}/{2}

Final answer:

The area A of a Norman window in terms of its width x can be expressed as the function A(x) = 8x - x²/2 - πx²/8, deriving this equation involves isolating variables from the given perimeter equation.

Explanation:

A Norman window has the shape of a rectangle topped with a semicircle. If we take x as the width of the window and y as the height of the rectangle, then the perimeter of the window is given by P = 2y + x + πx/2 = 16 (since the perimeter is the sum of the rectangle's two sides, the width, and half the circumference of a circle with diameter x).

From this equation, we can express y as a function of x: y = 8 - x/2 - πx/4.

Then, the area A of the window is the sum of the area of the rectangle and the area of the semicircle, which equals A = xy + πx²/8 = x(8 - x/2 - πx/4) + πx²/8 = 8x - x²/2 - πx²/4 + πx²/8.

Therefore, the area A of the window as a function of the width x of the window is A(x) = 8x - x²/2 - πx²/8.

Learn more about Function of Window Area here:

brainly.com/question/32386293

#SPJ6

Select all of the following points that lie on the graph of f(x) = 7 - 3x.(-2, 1)
(-1, 10)
(0, 7)
(1, 5)
(2, 1)

Answers

We know that

if the point belongs to the graph, then it must satisfy the given function.

We proceed to verify each of the points

we have

f(x) = 7 - 3x

case a)(-2, 1)

x=-2\ny=1

Substitute the value of x in the given function and compare the value of f(x) with the value of the coordinate y of the point

f(x) = 7 - 3*(-2)

f(x) = 13

13\neq 1 --------> the point not lie on the graph

case b)(-1, 10)

x=-1\ny=10

Substitute the value of x in the given function and compare the value of f(x) with the value of the coordinate y of the point

f(x) = 7 - 3*(-1)

f(x) = 10

10=10 --------> the point  lie on the graph

case c)(0, 7)

x=0\ny=7

Substitute the value of x in the given function and compare the value of f(x) with the value of the coordinate y of the point

f(x) = 7 - 3*(0)

f(x) = 7

7=7 --------> the point lie on the graph

case d)(1, 5)

x=1\ny=5

Substitute the value of x in the given function and compare the value of f(x) with the value of the coordinate y of the point

f(x) = 7 - 3*(1)

f(x) = 4

4\neq 5 --------> the point not lie on the graph

case e)(2, 1)

x=2\ny=1

Substitute the value of x in the given function and compare the value of f(x) with the value of the coordinate y of the point

f(x) = 7 - 3*(2)

f(x) = 1

1=1 --------> the point lie on the graph

therefore

the answer is

Points that lie on the graph are

(-1, 10)

(0, 7)

(2, 1)

see the attached figure to better understand the problem

Answer:

So the person above me got it right (I think)  but im small brain and dont wanna read all that so for all the ppl like me the answer is

(-1, 10)

(0, 7)

(2, 1).

Your welcome fellow lazy ppls :3

Please help and explain, I’m stuck on this on my homework

Answers

Answer:

THE ANSWER IS F. 23!

Step-by-step explanation:

THE ANSWER IS F. 23!

Given: ABCD is a parallelogram.Prove: ∠A and ∠D are supplementary.

Parallelogram A B C D is shown.

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are
angles. Because AB and DC are
, the same-side interior angles must be
by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.

Answers

Answer:

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are  

✔ same-side interior

angles.  Because AB and DC are  

✔ parallel

, the same-side interior angles must be  

✔ supplementary

by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.

Step-by-step explanation:

Answer:

The answer above is correct!

The correct options are:

First box: option D. same-side interior

Second box: option C. parallel

Third box: option D. supplementary

Step-by-step explanation:

Hope this helped - just got it right on edge!

Brainliest would be greatly appreciated :)
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Please help i really need it