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3 years ago

In the number 10,987.36 which digit represents the tenths space?

Mathematics

2 answers:

WARRIOR [948]3 years ago

7 0

The 3 is in the tens space

sattari [20]3 years ago

6 0

3 represents tenths space

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Which box plot represents a set of data that has the least mean absolute deviation?

Y_Kistochka [10]

Answer

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Step-by-step explanation:

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3 years ago

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Olegator [25]

Answer:

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3 years ago

At a campground, a rectangular fire pit is 7 feet by 6 feet. What is the area of the largest circular fire that can be made in t

Fittoniya [83]

The area of the circular fire pit is 4096 square inches.

Explanation:

Given that the rectangular fire pit is 7 feet by 6 feet.

We need to determine the area of the largest circular fire that can be made in this fire pit.

The diameter of the circular fire is 6 feet

The radius is given by

$r=\frac{6}{2} =3$

Radius is 3 feet.

The area of the largest circular fire pit can be determined using the formula,

$Area=\pi r^2$

Substituting the values in the formula, we have,

$Area = (3.14)(3)^2$

$=(3.14)(9)$

$Area= 28.26 \ ft^2$

We need to convert feet to inches by multiplying by 12, we get,

$Area = 28.26\times (12)^2$

$Area = 4096.44 \ in^2$

Rounding off to the nearest square inch, we get,

$Area= 4096 \ in^2$

Thus, the area of the circular fire pit is 4096 square inches.

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3 years ago

What is the true solution to the equation below? 2 In e^In2x -In e^In10x = In 30

stealth61 [152]

$The\ domain.\\D:x\in\mathbb{R^+}\\\\2\ln e^{\ln2x}-\ln e^{\ln10x}=\ln30\ \ \ |use\ \log_ab^n=n\log_ab\\\\2\ln2x\ln e-\ln10x\ln e=\ln30\ \ \ \ |use\ \log_aa=1\\\\2\ln2x-\ln10x=\ln30\ \ \ |use\ n\log_ab^n=\log_ab^n\\\\\ln(2x)^2-\ln10x=\ln30\\\\\ln4x^2-\ln10x=\ln30\ \ \ |use\ \log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\\ln\dfrac{4x^2}{10x}=\ln30\\\\\ln\dfrac{2x}{5}=\ln30\iff\dfrac{2x}{5}=30\ \ \ \ |\cdot5\\\\2x=150\ \ \ \ |:2\\\\x=75\in D$

Answer: x = 75

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3 years ago

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two people begin traveling at the same time from opposite ends of a 20 mile trail. one person travels 3 miles per hour faster th

Inessa [10]

Let us assume rate of other person = x miles per hour.

Rate of first person is 3 miles per hours faster than other.

Therefore, rate of first person = (x+3) miles per hour.

Total distance between them = 20 miles.

And total time taken by them is 2 hours.

We know, distance, time and rate relation:

Distance = Rate × Time.

Therefore, distance covered by other person = x * 2 = 2x.

Distnace covered by first person = (x+3)*2.

Total distance covered by both = 20 miles.

We can setup an equation

<em>Total distance covered by both = Distnace covered by first person + distance covered by other person.</em>

2(x+3) +2x = 20.

Now, we can solve the eqation for x.

2x +6 +2x = 20.

4x +6 =20.

Subtracting 6 from both sides, we get

4x +6-6 =20-6

4x = 14.

Dividing both sides by 4, we get

x=3.5

Rate of first person = (x+3) = 3.5+3 = 6.5 miles per hour.

<h3>Therefore, the rate of first person is 6.5 miles per hour and rate of second person 3.5 miles per hour.</h3><h3 />

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4 years ago