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alexandr1967 [171]
2 years ago
4

Mara ran 3km north ad then 4km east. she will finish her run by running directly home. What is the total distance of her run

Mathematics
2 answers:
Inessa [10]2 years ago
4 0
So we need to find the length of the hypotenuse of a right triangle with sides of 3 and 4, then add So we need to find the length of the hypotenuse of a right triangle with sides of 3 and 4, then add that distance to 3 and 4.
By the Pythagorean Theorme, the hypotenuse squared is equal to the sum of the sides squared...
d^2=3^2+4^2
d^2=9+16
d^2=25
d=√25
d=5
So the total distance of her run is 5+4+3=12 km

Sladkaya [172]2 years ago
4 0
You can solve this with the Pythagorean theorem.
{3}^{2}  +  {4 }^{2}  =  {c}^{2}
9+16=25, and the square root of 25 is 5. This is your answer.
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Tyler needs to complete the table for his consumer science class. He knows that 1 tablespoon contains 3 teaspoons and that 1 cup
olga_2 [115]

Answer:

1 cup = 48 teaspoons

C = 48t

Step-by-step explanation:

Given:

1 tablespoon = 3 teaspoons

1 cup = 16 tablespoon

Write an equation that represents the number of teaspoons, t, contained in a cup, C.​

Since

1 tablespoon = 3 teaspoons

And

1 cup = 16 tablespoon

Then

1 cup = 3 teaspoons × 16

1 cup = 48 teaspoons

Let

cup = C

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C = 48t

3 0
2 years ago
Write 12,430,090in expanded form
stira [4]
10,000,000+2,000,000+
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2 years ago
Toby's Tiny Toys have fixed expenses of $53,900 for the production of their tiny toys. Toby's has a variable expense of $12.50 a
ipn [44]

The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let x be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be 12.50x. From this information we can gather that the cost function for this factory is,

C(x)=53\,900+12.50x.

On the other hand, if we let x be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,

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Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that

R(x)=C(x)\\\implies 16.50x=12.50x+53\,900\\\implies 16.50x-12.50x=53\,900\\\implies 4x=53\,900\\\implies x=\frac{53\,900}{4} \\\implies x=134\,750.

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6 0
2 years ago
Choose the right answer. A series of light brown lines drawn at intervals of 50 feet to designate their respective heights above
Natali [406]

Answer:

Contour lines

Step-by-step explanation:

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A contour line (also called isoline) is a line that indicates points at the same elevation on the map, showing you a representation of the terrain's elevation (hills, mountains, canyons and so on).  You will find those lines on specialized maps, like topographic maps, which are different than road maps.

8 0
2 years ago
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kolezko [41]

Answer:

Masho

Step-by-step explanation:

8 0
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