Help please its math triangles..

The figure below shows part of a stained-glass window depicting the rising sun. Which function can be used to find the area of t

Kryger [21]

Answer:

$A(w) = w^2 + 5w - \frac{1}{8}\pi w^2$

Step-by-step explanation:

A = the area of the region outside the semicircle but inside the rectangle

w = the width of the rectangle or diameter of the semicircle

Since "A" is determined by "w", therefore, "A" is a function of "w" = A(w).

A(w) = (area of rectangle) - (area of semicircle)

$A(w) = (l*w) - (\frac{1}{2} \pi r^2)$

Where,

lenght of rectangle (l) = w + 5

width of rectangle (w) = w

r = ½*w = $\frac{w}{2}$

Plug in the values:

$A(w) = ((w + 5)*w) - (\frac{1}{2} \pi (\frac{w}{2})^2)$

Simplify

$A(w) = (w^2 + 5w) - (\frac{1}{2} \pi (\frac{w^2}{4})$

$A(w) = w^2 + 5w - \frac{1}{2}*\pi*\frac{w^2}{4}* \pi$

$A(w) = w^2 + 5w - \frac{1*\pi*w^2}{2*4}$

$A(w) = w^2 + 5w - \frac{1*\pi w^2}{8}$

$A(w) = w^2 + 5w - \frac{1}{8}\pi w^2$

3 0

3 years ago

Anyone Help!! Please I need the answer for today:)

melomori [17]

Answer:

x = 46

Step-by-step explanation:

Here, we want to get the value of the angle marked x

From the diagram given , the two angles that are other than x can be gotten from the value of their supplements

Angles on a straight line are supplementary as they add up to 180

Thus, mathematically;

(180-130) + (180-96) + x = 180

50 + 84 + x = 180

x = 180-50-84 = 46

7 0

3 years ago

. Mr. Marcum bought 7 tickets to a puppet show and spent $40. He bought a combination of child tickets for $4 each and adult tic

bonufazy [111]

Answer:

Mr. Marcum bought 5 child tickets and 2 adult tickets.

Step-by-step explanation:

First, assume that Mr. Marcum bought either 7 tickets of child tickets or 7 tickets of adult tickets. I'm using 7 child tickets for this working.

If Mr. Marcum bought 7 child tickets,

total money spent = $4 * 7 = $28

This is not equal to $40 and there has to be more money spent.

We should also calculate the price difference between the adult ticket and the child ticket.

Price difference per ticket = $10 - $4 = $6

This means that if Mr. Marcum bought an adult instead of a child ticket, he would spend $6 more.

In this case, Mr. Marcum has to spend $40- $28 = $12 more.

Hence, the number of adult tickets replacing the child tickets is $12/$6 = 2.

The number of child tickets = 7 - 2 = 5

7 0

3 years ago

Carlos and Kristin are selling wrapping paper for a school fundraiser. Customers can buy rolls of

goldfiish [28.3K]

The cost of one roll of plain wrapping paper is $8 and one roll of holiday wrapping paper is $14.

Step-by-step explanation:

Let,

Cost of one plain wrapping paper = x

Cost of one holiday wrapping paper = y

According to given statement;

6x+y=62 Eqn 1

3x+10y=164 Eqn 2

Multiplying Eqn 2 by 2

$2(3x+10y=164)\\6x+20y=328\ \ \ Eqn\ 3$

Subtracting Eqn 1 from Eqn 3

$(6x+20y)-(6x+y)=328-62\\6x+20y-6x-y=266\\19y=266$

Dividing both sides by 19

$\frac{19y}{19}=\frac{266}{19}\\y=14$

Putting y = 14 in Eqn 1

$6x+14=62\\6x=62-14\\6x=48$

Dividing both sides by 6

$\frac{6x}{6}=\frac{48}{6}\\x=8$

The cost of one roll of plain wrapping paper is $8 and one roll of holiday wrapping paper is $14.

Keywords: linear equation, elimination method

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

How do I find the surface area of the hemisphere in terms of pi??

oee [108]

Formula of surface area (SA) of an hemisphere:

$SA=2\pi r^2$

where r represents the radius of the hemisphere.

In the image, we are given the radius, r = 8 cm. Then, we just have ot replace this value in the formula and solve:

$SA=2\pi(8)^2$

Simplifying:

$SA=2\pi\cdot(64)$ $SA=128\pi$

Answer: 120π cm²

5 0

2 years ago

Help please its math triangles..​

Help please its math triangles..