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fomenos
3 years ago
13

The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more t

han the width, x, which interval can be the possible widths?
Mathematics
1 answer:
stich3 [128]3 years ago
7 0
The answer i think is.       If<span> the </span>length<span> of the </span>table<span> is </span>18 ft more than<span> the </span>width<span>, </span>x, which - 1447102. ... Thearea<span> of the </span>conference table<span> in </span>Mr<span>. </span>Nathan's office must<span> be </span>no more than 175 ft2<span> ... Therefore, the</span>interval<span> 0 < </span>x<span> ≤ 7 represents the possible widths</span>
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28) Find the circumference of a circle with a diameter of 2.5 inches. (it = 3.14)
antoniya [11.8K]

Answer: Circumference = 7.85 inches

Concept:

Here, we need to know the idea of circumference.

The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.

Circumference = 2πr

r = radius

π = constant

Solve:

<u>Given information</u>

r = (1/2) d = (1/2) (2.5) = 1.25 inches

π = 3.14

<u>Given formula</u>

Circumference = 2πr

<u>Substitute values into the formula</u>

Circumference = 2 · (3.14) · (1.25)

<u>Simplify by multiplication</u>

Circumference = (2.5) · (2.14)

Circumference = \boxed {7.85 inches}

Hope this helps!! :)

Please let me know if you have any questions

3 0
3 years ago
Read 2 more answers
In a group of equal number of men and women 10% men and 45% women are suffering from Malaria.What is probability a peraon select
Kaylis [27]

Answer:

The probability a person selected random is not suffering from Malaria  is 0.725.

Step-by-step explanation:

Denote the events as follows:

X = a person is suffering from Malaria

M = a man

W = a woman

The information provided is:

P (M) = P (W) = 0.50

P (X|M) = 0.10

P (X|W) = 0.45

Compute the probability a person selected random is suffering from Malaria as follows:

P(X)=P(X|M)P(M)+P(X|W)P(W)

         =(0.10\times 0.50)+(0.45\times 0.50)\\\\=0.05+0.225\\\\=0.275

Then the probability a person selected random is not suffering from Malaria  is:

P (X') = 1 - P (X)

         = 1 - 0.275

         = 0.725

4 0
3 years ago
What is the least common multipul of 6 and 8?
Bogdan [553]

Answer:

Step-by-step explanation:

24

The LCM of 6 and 8 is 24. To find the least common multiple (LCM) of 6 and 8, we need to find the multiples of 6 and 8 (multiples of 6 = 6, 12, 18, 24; multiples of 8 = 8, 16, 24, 32) and choose the smallest multiple that is exactly divisible by 6 and 8, i.e., 24.

5 0
3 years ago
∠A and ∠B are vertical angles. If m ∠A=(2x+26)∘ and ∠B=(3x−29)∘, then find the measure of ∠A.
Leya [2.2K]

The measure of angle (m ∠A) is 136°

<h3>Vertical angles theorem</h3>

From the question, we are to find the measure of angle A

From the given information, we have that

∠A and ∠B are vertical angles

Thus

∠A = ∠B

and

Also, from the given information,

m ∠A=(2x+26)°

and

m ∠B= (3x−29)°

∴ (2x+26)° = (3x−29)°

Now, solve for x

2x + 26 = 3x - 29

26 + 29 = 3x - 2x

55 = x

∴ x = 55

But measure of angle A is given by

m ∠A=(2x+26)°

Put the value of x into the equation,

m ∠A=(2(55)+26)°

m ∠A=(110+26)°

m ∠A = 136°

Hence, the measure of angle (m ∠A) is 136°

Learn more on Vertical angle theorem here: brainly.com/question/24839702

#SPJ1

6 0
2 years ago
Round to the nearest hundredth 26.9816
VARVARA [1.3K]

\huge{\boxed{26.98}}

The hundredths place is the second place after the decimal point. In this case, it is 8.

We can round it by looking at the next place to the right, which is a 1. 1 is less than 5, so we can just cut off everything after the hundredths place. This leaves an answer of \boxed{26.98}.

4 0
3 years ago
Read 2 more answers
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