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3 years ago

Solve for x please describe the steps 50 points

Mathematics

1 answer:

LuckyWell [14K]3 years ago

8 0

Answer:

x = 6

explanation:

USE: $\boxed{\frac{side-length }{base -length} = \frac{side-length}{base -length} }$

solve:

$\frac{21}{15} = \frac{7}{x-1}$

$21(x-1) = 7(15)$

$21x-21 = 105$

$21x = 105+21$

$21x = 126$

$x = \frac{126}{21}$

$x = 6$

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A 40 ft power boat is on sale by owner. How long is the boat to the nearest yard?

andriy [413]

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3 years ago

Find the quotient 3 6/7 divided by 5/21

Snezhnost [94]

Answer:

81/5 or 16 1/5.

Step-by-step explanation:

First convert the mixed number to an improper fraction:

3 6/7

= (3*7 + 6) / 7

= 27/7.

So we have

27/7 / 5/21

Invert the second fraction and multiply:

= 27/7 * 21/5

= (27*21) / (7*5)

= (27*3) / 5 ( as 21/7 = 3)

= 81/5

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2 years ago

Chile plans to add about 40,404 square kilometers of national parkland. Suppose a single piece of land is 40,404 square kilomete

9966 [12]

Answer:

The length of the diagonal is 284 km

Explanation:

1- we get the side length of the side:

We are given that the land has a square shape and an area of 40,404 km²

Area of square = (side)²

40,404 = (side)²

side = +√40,404

side = 201.007 km ≈ 201 km

2- we get the length of the diagonal:

Refer to the attach picture representing the area of land.

We can infer that the two side lengths along with the diagonal of the land form a right-angled triangle.

Therefore, to get the diagonal, we can apply the Pythagorean theorem as follows:

$Diagonal = \sqrt{(201)^2+(201)^2}$

Diagonal = 284.2 ≈ 284 km

Hope this helps :)

3 0

3 years ago

What is the remainder when (3x4 + 2x3 − x2 + 2x − 19) ÷ (x + 2)? 0 5 10 15

Elanso [62]

Answer: Second option is correct.

Explanation:

Since we have given that

$f(x)=3x^4+2x^3-x^2+2x-19$

And $g(x)=x+2$

To find the remainder, we use the Remainder Theorem, which states that when f(x) is divided by (x-c) then the f(c) is the required remainder.

So,

Here, we have,

$x+2=0\\\\x=-2$

So, we will find f(-2) which will give us the required remainder,

$f(-2)=3(-2)^4+2(-2)^3-(-2)^2+2(-2)-19\\\\f(-2)=(3\times 16)-(2\times 8)- 4-4-19\\\\f(-2)=48-16-36-4-19\\\\f(-2)=5$

Hence, Second option is correct.

7 0

3 years ago

How many miles can a ostrich run in half an hour

forsale [732]

Answer:

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3 years ago