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3 years ago

Distance between the points L(7,-1) & M(-2,4)

Mathematics

1 answer:

jekas [21]3 years ago

6 0

Answer: 10.2956

Step-by-step explanation:

Input Data :

Point 1 ( x A , y A ) = (7, -1)

Point 2 ( x B , y B ) = (-2, 4)

Objective :

Find the distance between two given points on a line?

Formula :

Distance between two points = √ ( x B − x A )2 + ( y B − y A ) 2

Solution :

Distance between two points = √ ( − 2 − 7 ) 2 + ( 4 − − 1 ) 2 = √ ( − 9 ) 2 + 5 2

= √ 81 + 25

= √ 106 = 10.2956

Distance between points (7, -1) and (-2, 4) is 10.2956

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Jen buys sesame bagels and plain bagels. If the ratio of sesame to plain is 1:3 and Jen bought 2 dozen bagels, what percent of b

Ulleksa [173]

Answer:

The number of plain bagels are 18 and it is 75% of the total bagels .

The amount of salt in a plain bagel to that in a sesame bagel is 81.5% .

Step-by-step explanation:

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ value}$

As given

Jen buys sesame bagels and plain bagels. If the ratio of sesame to plain is 1:3 and Jen bought 2 dozen bagels .

As one dozens contains 12 items .

Thus

Total number of bagels bought by Jen = 2 × 12

= 24

Let us assume that the x be the scalar multiple of sesame bagels and plain bagels .

Number of sesame bagels = 1x

Number of plain bagels = 3x

Than the equation becomes

x + 3x = 24

4x = 24

$x = \frac{24}{4}$

x = 6

Thus

Number of plain bagels = 3 × 6

= 18

Part value = 18

Total value = 24

Putting all the values in the formula

$Percentage = \frac{18\times 100}{24}$

$Percentage = \frac{1800}{24}$

Percentage = 75 %

Therefore the number of plain bagels are 18 and it is 75% of the total bagels .

As given

Suppose each plain bagel has 0.53 gram of salt, and each sesame bagel has 0.65 gram.

Part value = 0.53 grams

Total value = 0.65 grams

Putting all the values in the formula

$Percentage = \frac{0.53\times 100}{0.65}$

$Percentage = \frac{5300}{65}$

Percentage = 81.5 %

Therefore the amount of salt in a plain bagel to that in a sesame bagel is 81.5% .

8 0

4 years ago

Add the fractions and write your answer in lowest terms

Umnica [9.8K]

2/5 + 1/9

18/45 + 5/45 = 23/45

B.23/45 is your answer

hope this helps

8 0

3 years ago

Some airlines have restrictions on the size of items of luggage that passengers are allowed to take with them. Suppose that one

olga_2 [115]

Answer:

Length = Width = Height = 64 ; Luggage Box is a CUBE

Step-by-step explanation:

Given : Length (L) + Width (W) + Height (H) ≤ 192 ; & Length = Width

Volume ( V )of luggage [Cuboid] = L.W.H

Since L = W :

V = L.L.H → V = L^2H

L + L + H = 192 → 2L + H = 192 → H = 192 - 2L

Putting value of 'H' in 'V'

V = L^2 (192 - 2L) → V = 192L^2 - 2L^3

Maximising volume function , differentiating it w.r.t 'L'

dV / dL = 2(192 L) - 3 (2L^2) → = 384L - 6L^2

dV / dL = 384L - 6L^2 = 0

384L = 6L^2 → 384 = 6L

L = 384 / 6 → L = 64 ; W also = 64

Putting value of L in 1st given sum equation : 2L + H = 192

2 (64) + H = 192

128 + H = 192 → H = 192 - 128 → H = 64

Since L = W = H = 64 ; Luggage bag is a Cube

6 0

3 years ago

Please help I need help I

Crazy boy [7]

Answer:

5 runners will be needed

Step-by-step explation:

To solve this problem you have to find how many 1/25ths it takes to get 1/5. You can do that by dividing 25 by 5 which eauals 5. In other words 5/25 is equal to 1/5. This means you will need 5 runners to complete the race.

4 0

3 years ago

Define an altitude of a triangle.

Setler79 [48]

An altitude is a line which passes through a vertex of a triangle, and is at right angles to the opposite side. A triangle has three altitudes.

6 0

4 years ago