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andrew-mc [135]
3 years ago
10

Jason wants to walk the shortest distance to get from the parking lot to the beach. a.How far is the spot on the beach from the

parking lot? b. How far will he have to walk from the parking lot to get to the refreshment stand?

Mathematics
1 answer:
lara31 [8.8K]3 years ago
5 0

3 RIGHT TRIANGLES

1 big right triangle is divided into 2 smaller ones. Medium and small.

<span> a.How far is the spot on the beach from the parking lot? </span>

Medium triangle: long leg = 32 m ; short leg = x

Small triangle: long leg = x ; short leg = 18m

32/x = x/18

32*18 = x*x

576 = x²

√576 = √x²

24 = x    

Parking lot to the beach is 24 meters.

<span>b. How far will he have to walk from the parking lot to get to the refreshment stand?</span>

Use Pythagorean theorem:

Medium triangle: long leg = 32 m ; short leg = 24 m ; hypotenuse = ?

32²+ 24² = c²

1024 + 576 = c²

1600 = c²

√1600 = √c²

40 m = c

Parking lot to refreshment stand is 40 meters.

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olga_2 [115]

The length of the prism is 14 cm if the volume of the prism is 378 cubic cm and face area is 27 square cm.

<h3>What is volume?</h3>

It is defined as a three-dimensional space enclosed by an object or thing.

The question is incomplete.

The complete question is in the picture please refer to the attached picture.

We know the volume of the prism can be calculated:

Volume = base area×length

378 = 27x

x = 378/27 = 14 cm

Thus, the length of the prism is 14 cm if the volume of the prism is 378 cubic cm and face area is 27 square cm.

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2 years ago
Can someone please help me with this ASAP‼️ Thank You
AVprozaik [17]

Let x = cost of the dishwasher.

The amounts the children are paying are:

Mark =20% = 1/5, so  1/5x

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x = 1/5x + 1/4x + 1/3x + 75 + 75

x - ( 1/5x + 1/4x + 1/3x ) = 150

Rewrite fractions with common denominator:

x - ( 12/60x + 15/60x + 20/60x ) = 150

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x = 150/1 • 60/13

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x = 692.31

The total cost of the dishwasher is $692.31

Now calculate the amount each child pays:

Mark = 1/5 x = 692.31/ 5 = $138.46

Sorin = $75.00

Raymond = 1/4 x = 692.31 / 4 = $173.08

Stephanie = $75.00

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If the base radius of cylinder is 10 cm and height of cylinder is 10 cm then volume of cylinder is
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Answer:

V

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3 years ago
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Discuss the differences between the measurement of the surface area and the measurement of the volume of a right rectangular pri
yKpoI14uk [10]
Given: 
Right Rectangular Prism.
It has its length, width, and height.

Surface area of a right rectangular prism has this formula:
SA = 2 (wl + hl + hw)

Volume of a right rectangular prism has this formula
V = whl

Formula of Surface Area is different from Volume.

Surface area measures the area the whole rectangular prism surface. It computes for the area of all 6 faces that a right rectangular prism has.

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3 years ago
a coin is tossed, then a letter in the word accomplishment is chosen at random. find the probability of heads, then a vowel
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Answer:

\frac{5}{52}

Step-by-step explanation:

Coin toss:

Total\ outcome=\{H,T\}\\\\Favourable\ outcome=\{H\}\\\\P(Head)=\frac{Favourable\ outcome}{Number\ of\ total\ outcome}\\\\P(Head)=\frac{1}{2}

Letter Selection:

Number\ of\ total\ outcomes=26\ \ \ \ \ \ \ as\ total\ letters\ are\ 26\\\\Favourable\ outcomes=5\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ as\ there\ are\ 5\ vowels\\\\P(vowel)=\frac{Favourable\ outcomes}{Number\ of\ total\ outcomes}\\\\P(vowel)=\frac{5}{26}

These\ two\ events\ are\ independent.\\\\Hence\ probability\ of\ head\ and\ then\ vowel=\frac{1}{2}\times \frac{5}{26}=\frac{5}{52}

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3 years ago
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