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3 years ago

5 positive integers are arranged in ascending order, as follows:

Mathematics

1 answer:

Olegator [25]3 years ago

5 0

Answer:

x = 16

Step-by-step explanation:

Since the numbers are in ascending order, x is the number with the highest value here.

From the arrangement, we can see that the median (the middle number) is the third number which is 9

The mean is the sum of the numbers divided by their count. So we set up the mean and equate to the median

We have this as;

(1 + 9 + 9 + 10 + x)/5 = 9

29 + x = 5(9)

29 + x = 45

x = 45-29

x = 16

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What are the side lengths of a rectangle if the area is 40 sq. Ft and the perimeter is 28 ft

VMariaS [17]

40 can be gotten by multiplying 10 & 4

28 can be found by adding 10 + 10 + 4 + 4

so the side lengths are 4 & 10

8 0

3 years ago

Juan wants to know the cross-sectional area of a circular pipe. He measures the diameter which he finds, to the nearest millimet

Tpy6a [65]

This question is not correctly written.

Correct Question

Juan wants to know the cross- sectional area of a circular pipe. He measures the diameter which he finds, to the nearest millimeter, to be 5 centimeters. To find the area of the circle, Juan uses the formula A=〖πr〗^2 where A is the area of the circle and r is its radius. He uses 3.14 for π.

a) What value does Juan get for the area of the circle? Make sure you include your units.

b) Michelle found the area of a circle as 78.5 〖in〗^2. She used 3.14 for π. What is the radius of the circle?

Answer:

a)The Area of the circle is 1962.5 millimeters ²

b) The radius of the circle is

5inches( in)

Step-by-step explanation:

a) The formula for the Area of a circle = πr²

The diameter of the circle was measured by Juan to the nearest millimeters = 5 centimeters

The first step is to convert 5cm to millimeters

1 centimetre = 10 millimeters

5 centimetres =

Cross multiply

= 5 × 10 millimeters

Therefore, 5 centimetres = 50 millimeters.

Since the Diameter of the circle = 50 millimeters,

Radius is calculated as Diameter ÷ 2

Therefore , the radius of the circle = 50 millimeters ÷ 2

= 25 millimeters.

The second step is to find the Area of the circle.

Area of the circle = πr²

Juan used 3.14 for π

Therefore , Area of the circle is calculated as:

= 3.14 ×(25millimeters)²

= 3.14 × 625 millimeters²

= 1962.5 millimeter ²

The Area of the circle is 1962.5 millimeters²

b) Michelle found the area of a circle as 78.5 〖in〗^2. She used 3.14 for π. What is the radius of the circle?

The formula to calculate the Area of a Circle is given as:

A( Area of a circle) = πr²

Since we are asked to find the radius of the circle in Part B, we can derive the formula to find the radius of a circle

A = πr²

r² = A ÷ π

r = √A÷ π

Therefore , the formula to find the Radius of a circle is given as :

r = √A ÷ π

Already given in the question are the following values :

Area of the circle = 78.5inches²

π = Michelle used 3.14

The radius of the circle

= r = √A ÷ π

r = √78.5 in² ÷ 3.14

r = √ 25

r = 5inches( in)

Therefore the radius of the circle is

5inches(in).

5 0

3 years ago

Mr. Dodson is having the exterior of his

shepuryov [24]

Answer:

Step-by-step explanation:

6 0

3 years ago

G(x) = 15 – 4x<br> h(x) = x +8<br> Write g(h(x)) as an expression in terms of 2.

Sergeu [11.5K]

For this case we have the following functions:

$g (x) = 15-4x\\h (x) = x + 8$

We must find $g (h (x))$ when $x = 2$ .

So:

$g (h (x)) = 15-4 (x + 8) =$

We apply distributive property to the terms within parentheses taking into account that:

$- * + = -\\15-4x-32 =$

We add similar terms taking into account that different signs are subtracted and the sign of the major is placed:

$-17-4x$

Thus, we have to:

$g (h (x)) = - 17-4x$

Then, with x = 2:

$g (h (2)) = - 17-4 (2) = - 17-8 = -25$

Equal signs are added and the same sign is placed.

Answer:

$g (h (2)) = - 25$

3 0

3 years ago

100 points Triangle ABC is shown below: Triangle ABC is shown. A is at 2, 1. B is at negative 1, 4. C is at 3, 7. If triangle AB

Vinil7 [7]

Using translation concepts, the coordinates for point C' are given as follows:

C'(-3,7).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The rule for a reflection over the y-axis is given as follows:

(x,y) -> (-x,y).

Hence, for point C', the coordinates are given by:

(3,7) -> (-3,7).

More can be learned about translation concepts at brainly.com/question/4521517

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4 0

2 years ago