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3 years ago

Express 20 cm to 400 mm in simplest form

Mathematics

1 answer:

solong [7]3 years ago

4 0

Answer:

Step-by-step explanation:

36/24 or 3/2

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The two short sides of a triangle are 3 and 4 inches. what is the length of the hypotenuse,in inches?

disa [49]

Answer:

The length of the hypotenuse is 5 inches.

Step-by-step explanation:

The formula for finding the hypotenuse is $a^{2} + b^{2} = c^{2}$ ,

with a and be being the two shorter sides of the triangle, while c is the hypotenuse.

Let's plug in our values for a and b and solve.

$4^{2} + 3^{2} = c^{2}$

16 + 9 = $c^{2}$

25 = $c^{2}$

What is the square root of 25? 5.

The length of the hypotenuse is 5 inches.

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3 years ago

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Roger had $1200. He bought a phone with 0.4 of the money and a helmet with 0.5 of the remaining money. What is the amount of mon

Paul [167]

Answer:

the remaining money is $1189.22

Step-by-step explanation:

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3 years ago

(10 +13)2 + 7y)<br> Which expression is equivalent to the expression above?

Aleks [24]

(2+7y)+13+10 is the answer

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3 years ago

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In an effort to estimate the mean of amount spent per customer for dinner at a major Lawrence restaurant, data were collected fo

larisa86 [58]

Answer:

The 99% confidence interval for the population mean is 22.96 to 26.64

Step-by-step explanation:

Consider the provided information,

A sample of 49 customers. Assume a population standard deviation of $5. If the sample mean is $24.80,

The confidence interval if 99%.

Thus, 1-α=0.99

α=0.01

Now we need to determine $z_{\frac{\alpha}{2}}=z_{0.005}$

Now by using z score table we find that $z_{\frac{\alpha}{2}}=2.58$

The boundaries of the confidence interval are:

$\mu-z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n} }\\24.80-2.58\times \frac{5}{\sqrt{49}}=22.96\\\mu+z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n} }\\24.80+2.58\times \frac{5}{\sqrt{49}}=26.64$

Hence, the 99% confidence interval for the population mean is 22.96 to 26.64

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3 years ago

A paved walkway around a garden has an outer diameter of 80 ft and an inner diameter of 40 ft. A diagram is shown below.

k0ka [10]

Given:

Outer diameter = D = 80 ft
Inner diameter = d = 40 ft

So,

Outer radius = R = D/2

=> R = (80 ft)/2

=> R = 40 ft

Inner radius = r = d/2

=> r = (40 ft)/2

=> r = 20 ft

Area of paved pathway = πR² - πr²

= π(R² - r²)

= π(R + r)(R - r)

= π(40 + 20)(40 - 20) ft²

= π(60)(20) ft²

= 3.14 * 1200 ft²

= 3768 ft²

6 0

3 years ago