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4 years ago

How to write four hundred two million seventy-three thousand one hundred eighty in standard form

Mathematics

2 answers:

ziro4ka [17]4 years ago

5 0

Four hundred two million seventy-three thousand one hundred eighty in standard form: 402,073,180 would be your answer

umka21 [38]4 years ago

4 0

402,073,180!!!!!!!!!!!!!!! :-)

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Equivalent 5(6x+3y)

STALIN [3.7K]

The equivalent expression is 30x + 15y

Solution:

Given that we have to find the equivalent expression for given expression

Given expression is:

5(6x + 3y)

We can find the equivalent expression by using distributive property

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

By distributive property,

a(b + c) = ab + ac

Therefore, in given expression 5(6x + 3y), 5 can be multiplied with both 6x and 3y

$\rightarrow 5(6x + 3y) = 5 \times 6x + 5 \times 3y$

Multiply the numbers and simplify

$\rightarrow 5(6x + 3y) = 5 \times 6x + 5 \times 3y = 30x + 15y$

Thus the equivalent expression is 30x + 15y

3 0

4 years ago

Find the distance between the given points (2,8) and (7,7)

Ray Of Light [21]

Answer:

$d=\sqrt{26}\approx5.0990$

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula.

The distance formula is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let (2,8) be x₁ and y₁ and let (7,7) be x₂ and y₂. Thus:

$d=\sqrt{(7-2)^2+(7-8)^2}$

Simplify:

$d=\sqrt{5^2+(-1)^2}$

Square:

$d=\sqrt{25+1}$

Add:

$d=\sqrt{26}\approx5.0990$

And that's our answer :)

6 0

4 years ago

Please answer this correctly

Eva8 [605]

Answer:

Surface Area is 56π cm²

Step-by-step explanation:

The area for a cylinder's surface area is

a=2πrh+2πr²

The cylinder base's radius is 4 cm

The cylinder's height is 3 cm

Putting into the equation:

a=2×π×4×3+2×π×4²

a=2π×4×3+2×π×4²

a=8π×3+2×π×4²

a=24π+2×π×4²

a=24π+2×π×16

a=24π+2π×16

a=24π+32π

a=56π

The surface area of the cylinder is 56π cm².

5 0

3 years ago

3 Sean has 8-inch pieces of toy train track and Ruth has 18-inch pieces of train track. How

Morgarella [4.7K]

Answer:

Step-by-step explanation:

The smallest number that is divisible by two given numbers is called the Least Common Multiple (LCM) of those numbers.

What's the smallest number that is a multiple of 8 and also a multiple of 18?

One way to find out is to start making lists of multiples:

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, and so on,

Multiples of 18: 18, 36, 54, 72, 90, 108, and so on.

This method can be a bit tedious, but in this case, it's clear that 72 is the LCM of 8 and 18.

Another method is to use the prime factorization of the two numbers.

Write 8 and 18 as the product of prime numbers; each number has a unique prime factorization.

8 = 2 x 2 x 2 = 2^3

18 = 2 x 3 x 3 = 2^1 x 3^2

To form the LCM, build a product of primes using the highest exponent in either of the two numbers.

LCM = 2^3 x 3^2 = 8 x 9 = 72.

7 0

3 years ago

From a window 20 feet above the ground, the angle of elevation to the top of a building across

Nikitich [7]

Answer: The answer is 381.85 feet.

Step-by-step explanation: Given that a window is 20 feet above the ground. From there, the angle of elevation to the top of a building across the street is 78°, and the angle of depression to the base of the same building is 15°. We are to calculate the height of the building across the street.

This situation is framed very nicely in the attached figure, where

BG = 20 feet, ∠AWB = 78°, ∠WAB = WBG = 15° and AH = height of the bulding across the street = ?

From the right-angled triangle WGB, we have

$\dfrac{WG}{WB}=\tan 15^\circ\\\\\\\Rightarrow \dfrac{20}{b}=\tan 15^\circ\\\\\\\Rightarrow b=\dfrac{20}{\tan 15^\circ},$

and from the right-angled triangle WAB, we have'

$\dfrac{AB}{WB}=\tan 78^\circ\\\\\\\Rightarrow \dfrac{h}{b}=\tan 15^\circ\\\\\\\Rightarrow h=\tan 78^\circ\times\dfrac{20}{\tan 15^\circ}\\\\\\\Rightarrow h=361.85.$

Therefore, AH = AB + BH = h + GB = 361.85+20 = 381.85 feet.

Thus, the height of the building across the street is 381.85 feet.

8 0

3 years ago