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3 years ago

Distributive Property Assignment 1/6(3/5x+18)= Leave answer as a fraction.

Mathematics

1 answer:

Rashid [163]3 years ago

6 0

Answer:

1/10x+3

Step-by-step explanation:

1/6(3/5x+18)

Multiply 3/5x and 18 by 1/6

1/10x+3

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A cylinder has a base diameter of 16 feet and a height of 19 feet. What is its volume in cubic feet, to the nearest tenths place

Tresset [83]

Answer: Volume = 3818.2 cubic feet

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

Diameter = 16 feet

Radius = diameter/2 = 16/2

Radius = 8 feet

Height = 19 feet

Therefore,

Volume = 3.14 × 8² × 19

Volume = 3.14 × 64 × 19

Volume = 3818.2 cubic feet rounded to the nearest tenth

6 0

3 years ago

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk

S_A_V [24]

Answer:

Patrick walk approximately <u>112 yards</u>.

Step-by-step explanation:

Given:

A rectangular field is 50 yards wide and 100 yards long.

Patrick walks diagonally across the field.

Now, to find the distance he walk.

Length of the field = 100 yards.

Width of the field = 50 yards.

Now, to get the diagonal distance we put formula:

$Diagonal = \sqrt{length^2+width^2}$

$Diagonal = \sqrt{100^2+50^2}$

$Diagonal = \sqrt{10000+2500}$

$Diagonal = \sqrt{12500}$

$Diagonal = 111.80$

Therefore, Patrick walk approximately 112 yards.

6 0

2 years ago

A professor at a university wants to estimate the average number of hours of sleep the students get during exam week. The profes

balandron [24]

Answer:

The sample size is $n = 2$

Step-by-step explanation:

From the question we are told that

The margin of error is E =4.266

The standard deviation is $\sigma = 2.539$

From the question we are told the confidence level is 99% , hence the level of significance is

$\alpha = (100 - 99 ) \%$

=> $\alpha = 0.01$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2$

=> $n = [\frac{2.58 * 2.539 }{4.266} ] ^2$

=> $n = 2$

6 0

2 years ago

Cual es la respueta para 2/67 multiplicado por 34/67

ivolga24 [154]

<span>La respuesta es 68/4489 en términos más bajos.</span>

3 0

3 years ago

If a square has a perimeter of 36 in. what is the Circumstances of the circle?given the exact answer in terms of pi.

vfiekz [6]

Answer:

a)B)9π

b)G)16π in²

Step-by-step explanation:

according to the question

$64 \times \frac{\pi}{4}$

$16\pi \: {in}^{2}$

as we know

C/d=π

C=dπ

Therefore

C=9π

6 0

2 years ago