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2 years ago

I don't know how to solve this at all, i just need some help on how to figure it out. Thanks!

Mathematics

1 answer:

andriy [413]2 years ago

6 0

Answer:

$\sf \dfrac{3}{{z-3} }$

Explanation:

$\Longrightarrow \sf \dfrac{1}{z} \div \dfrac{z-3}{3z}$

apply the theorem when $\dfrac{a}{b} \div \dfrac{c}{d}$ then $\dfrac{a}{b} \times \dfrac{d}{c}$

$\Longrightarrow \sf \dfrac{1}{z} \times \dfrac{3z}{z-3}$

Join the fractions

$\Longrightarrow \sf \dfrac{3z}{z({z-3)} }$

Cancel out common factor z

$\Longrightarrow \sf \dfrac{3}{{z-3} }$

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Suppose a circle has a circumference 16pi units. what is its radius

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Answer:

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Step-by-step explanation:

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A 45 foot ladder is leaning against a building. If the bottom of the ladder is 27 feet from the base of the building, how tall i

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Answer:

The height of building to the nearest foot is h = 36 foot

Step-by-step explanation:

We have given,

Length of ladder leaning against a building, l = 45 foot

Bottom length between ladder and the building , b = 27

Now, we need to find the height of building to the nearest foot.

Let the height of building be h.

Using Pythagoras theorem,

$l^{2} = b^{2} +h^{2}$

Here, l = 45 , b = 27 and h =?

So,

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3 years ago

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3 years ago

Need help asap The answer is 100 or 126

Serga [27]

Answer:

The surface area of the cone is 126π cm².

Step-by-step explanation:

The surface area of a cone can be found using this formula:

$\text{SA} = \pi r ^2+\pi r l$
where r = radius and l = slant height

In this problem, we are told that the cone has a radius of 9 cm and a slant height of 5 cm.

Substitute these values into the formula for the surface area of a cone.

$\text{SA}= \pi (9)^2+ \pi(9)(5)\\$
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2 years ago

Q7. Average of 60 numbers are 55. When 10 more numbers are included, the average of

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Answer:

The average of the 10 numbers is 195

Step-by-step explanation:

The average of a set of numbers is the sum of the numbers dividing by their number

Average = The sum ÷ The number

∵ The average of 60 numbers is 55

∴ The average = 55

∴ The number = 60

→ Substitute them in the rule above to find the sum of the numbers

∵ 55 = The sum ÷ 60

→ Multiply each side by 60

∴ 3300 = The sum

∴ The sum of the 60 numbers = 3300

∵ 10 more numbers are included

∵ The average of 70 numbers become 75

∴ The average = 75

∴ The number = 70

→ Substitute them in the rule above to find the sum of the numbers

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→ Multiply each side by 70

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∵ The difference between the sums = 5250 - 3300

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∵ The average of the 10 numbers = 1950 ÷ 10

∴ The average of the 10 numbers = 195

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