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3 years ago

13

a rectangular rug covers 1200 square inches on the floor. The length of the rug is 30 inches .What is the length in inches of th

e rug

1 answer:

Crank3 years ago

8 0

Answer:

The length is 30 (which you aready said) and the width is 40

Step-by-step explanation:

1200/30=40

(another way)

120/30=4 (multiply each side by ten)

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Solve for f.<br> 0.3 = 0.58 -0.7<br> How do it do it

Katyanochek1 [597]

Answer:

1.03

Step-by-step explanation:

you are going to add 0.7 to the 0.3 and then the 0.7 cancles out then you will add 0.3 +0.3 then divide that by 0.58

8 0

3 years ago

Read 2 more answers

Imagine the average time to complete a “4-year” bachelors degree is actually 4.3 years based on national data. You collect data

Nataly [62]

Answer:

To answer you question, we need the confidence internals formula, μ±Zc*(σ/ $\sqrt{N}$ ); N is the 20 psychology students, 0.5 the desviation standar and 4.3 is the medium based on national data, every fact in years.

Step-by-step explanation:

You need to consult the Zc value, you can find this table attached in this question; for 95%, we have a Zc value of 1.96.

Next step replace values: 4.3±1.96*(0.5/ $\sqrt{20}$ ) = 4.3±0.22 (rounding the result)

So, the confidence interval are:

4.08cm≤X≤4.52cm

8 0

3 years ago

Step 3: Let LM = x. We know the lengths of the radii of each circle, so KL = 12 +

kow [346]

Answer:

Step-by-step explanation:

Step 3:

Let LM = x

OK = KP = 12 units [Radii of circle K]

LN = LP = 8 units [Radii of circle L]

Therefore, KL = KP + PL

KL = 12 + 8

= 20 units

Step 4:

Since, ΔKOM and ΔLNM are the similar triangles,

By the property of two similar triangles, corresponding sides of these similar triangles will be proportional.

$\frac{OK}{NL}=\frac{KM}{LM}$

$\frac{12}{8}=\frac{x+20}{x}$

12x = 8(x + 20) [By cross multiplication]

12x = 8x + 160

12x - 8x = 160

4x = 160

x = 40

3 0

3 years ago

A rectangular swimming pool is surrounded by a deck as shown. The area (in square feet) of the pool is represented by x^2-10x+16

maw [93]

Answer:

Step-by-step explanation:

First we need to factorize the given area of the rectangle as shown;

Given

A(x) = x^2-10x+16

Factorize

A(x) = x²-8x-2x+16

A(x) = (x²-8x)-(2x+16)

A(x) = x(x-8)-2(x-8)

A(x) = (x-2)(x-8)

Since area of a rectangle = length ×width

Hence the binomial that represents the width of the pool is w(x) = x-2

b) If the width of the deck is 17feet

Width = x-2

17 = x-2

x = 17+2

x = 19feet

Get the length

Length = x-8

Length = 19-8

Length = 11

Get the perimeter

P = 2(L+W)

P = 2(17+11)

P =2(28)

P = 56feet

Perimeter of the deck is 56feet

8 0

3 years ago

Cylinder a has a mass of 3 kg and cylinder b has a mass of 8 kg. Determine the speed of a after it has moved 2 m starting from r

german

The rate of change of an object's velocity with respect to time is defined as acceleration. The speed of a after it has moved 2m starting from rest is 1.98 m/s².

<h3>What is acceleration?</h3>

The rate of change of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations. The orientation of an object's acceleration is determined by the orientation of its net force.

We can see that the acceleration of 3kg mass is double that of the 8kg mass. Therefore, Writing the force conservation equations altogether,

(T - 3g)/3 = 2(8g - 2T)/8

T= 3.6*g

Now, the Acceleration of 8kg mass can be written as

a = (8g - 2T)/8

= 0.8g/8

=0.1g

Therefore, acceleration of mass 3kg = 2×a = 0.2g

Further, as per the law of motion we can write,

v² - u² = 2as

Substituting the values, u =0; a=0.1g; s=2m; we will get,

v=1.98m/s

Hence, the speed of a after it has moved 2m starting from rest is 1.98 m/s².

Learn more about Acceleration:

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3 0

2 years ago