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lbvjy [14]
2 years ago
6

An artist is painting a large mural of flowers on the

Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
7 0

Answer:

The mural painting will be of 15.5 inches.

Step-by-step explanation:

We solve this question by proportions, using rules of three.

Scale of 4 inches = 1 inch

This means that 4 inches of real dimensions is one inch on the drawing.

How large will the mural painting of a rose bloom be if the actual height of the rose bloom is 61 inches?

The painting is a fourth of the real bloom(61 inches). So

61/4 = 15.5 inches

The mural painting will be of 15.5 inches.

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This composite shape is a rectangle with a semicircle attached on one end. The diameter of the semicircle is 6 feet.
Ugo [173]

As we can see on the picture we have a rectangle and half of circle.

The areas for half circle and rectangle are:

A_{rectangle}=a\cdot b \\A_{halfcircle}=\frac{A_{circle}}{2}=\frac{\pi r^2}{2}

The area of the figure is the sum of the area of half circle and rectangle. Also the height of a rectangle (6ft) is a diameter of a half circle therefore the radius of half circle is 6ft ÷ 2 = 3ft.

Now we calculate the areas.

A_{rectangle}=10\cdot 6=\underline{60} \\A_{halfcircle}=\frac{3.14\cdot3^2}{2}=\underline{14.13} \\A_{total}=A_{rectangle}+A_{halfcircle} =60+14.13=\boxed{74.13\approx74}

The area of the figure is approximately 74ft squared.

Hope this helps.

r3t40

3 0
3 years ago
Read 2 more answers
10)
Kipish [7]

Answer:

-600

Step-by-step explanation:

The rate of change of a function f(x) in a certain interval (x_1,x_2) is the ratio between the change of the function and the change in the value of x:

r=\frac{f(x_2)-f(x_1)}{x_2-x_1}

The rate of change of a function tells how much the value of the function is changing per change in unit of x: therefore, for a linear function it corresponds to the slope of the line.

In this problem, the function f(x) is equal to the value of the business machine in dollars, while the variable x represents the number of years.

Here we are told that the machine was purchased for

q=\$4500

while its value decreases by $600 each year, so

m=-600\$

This means that the linear function that represents the value of the machine after x years is:

y=4500-600x

Therefore, the rate of change of the function is -600.

3 0
3 years ago
A square measures 6 cm on all four sides. If you enlarge each side by 4 times, how long is each side?
Rashid [163]

Answer:

24cm

Step-by-step explanation:

6x4=24

8 0
3 years ago
A.<br> 4+2(5)+(-3)<br> Can you please give me the answer on this problem?
navik [9.2K]
11 ishsbbehdhxhdhxhhxhx
8 0
3 years ago
Read 2 more answers
Pete, a professional bowler, is unhappy with any game below 200. Over time, 80% of his games exceed this score. What is the prob
Aneli [31]

The probability that Pete exceeds 200 in at least 9 of his next 10 games is 0.268+0.1074 = 0.3754

<h3>What is Probability ?</h3>

Probability is defined as the likeliness of an event to happen.

It has a range of 0 to 1.

It is given that

Pete, a professional bowler, is unhappy with any game below 200

80% of his games exceed this score.

the probability that Pete exceeds 200 in at least 9 of his next 10 games is given by

P( 9/10 > 200) +P(10/10>200)

The binomial experiment consists of n trial out of it x is success.

P( x) = \dfrac{n!}{x!(n-x)!}p^x(1-p)^{n-x}

Here p = 0.8

For 9/10 matches

P( 9/10 > 200) = \dfrac{10!}{9!(10-9)!}0.8^9(1-0.8)^{10-9}\\\\ = {10}(0.8)^9(0.2)\\= 0.268

For (10/10 >200)

P( 10/10 > 200) = \dfrac{10!}{10!(10-10)!}0.8^{10} (1-0.8)^{10-10}\\\\ = {1!}(0.8)^{10}\\= 0.1074

Therefore the probability that Pete exceeds 200 in at least 9 of his next 10 games is 0.268+0.1074 = 0.3754.

To know more about Probability

brainly.com/question/11234923

#SPJ1

5 0
2 years ago
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