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3 years ago

What are all the terms in the expression 4 m n + m + 5

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

8 0

Terms: 4mn, m, 5

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the sum of the measures of the angles in a triangle is 180°. What is the value of x in the triangle?

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x = 32

Step-by-step explanation:

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3 years ago

The shopkeeper at a seafood store measured the weight, in pounds, of each fish

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3 years ago

What is the area of the shaded region?

Verdich [7]

<h2>Area of Composite Shapes</h2>

To find the area of composite shapes, we can break the bigger shape down into small, simpler shapes, and find the sum of their areas.

For this triangle, we will need to know the formula to find the area of a triangle:

$A=\dfrac{1}{2}bh$

<h2>Solving the Question</h2>

The given shape can be seen as one large triangle with a little triangle cut out of it. To find the shaded region, we can:

Find the area of the large triangle
Find the area of the little triangle
Subtract the area of the little triangle from the large triangle

<h3>Area of the Large Triangle</h3>

$A=\dfrac{1}{2}bh$

⇒ Plug in the values given for the base and height:

$A=\dfrac{1}{2}(5)(2+4+6)\\\\A=\dfrac{1}{2}(5)(12)\\\\A=(5)(6)\\\\A=30 mm^2$

<h3>Area of the Small Triangle</h3>

$A=\dfrac{1}{2}bh$

⇒ Plug in the values given for the base and height:

$A=\dfrac{1}{2}(3)(4)\\\\A=(3)(2)\\\\A=6mm^2$

<h3>Subtract the Area of the Small Triangle from the Area of the Large Triangle</h3>

$30 mm^2-6mm^2\\=24mm^2$

<h2>Answer</h2>

The area of the shaded region is $24mm^2$ .

5 0

2 years ago

Dimensional Analysis

Firlakuza [10]

Answer:

$5.058 USD/gal
$60.70 USD to fill the tank

Step-by-step explanation:

You want to know the cost per gallon of gas and the cost for 12 gallons of gas when the cost per liter is $1.31 CDN and the exchange rate is $1.02 USD per CAD.

<h3>Cost per gallon</h3>

The conversion between liters and gallons is ...

1 US gallon = 3.785411784 liters (exactly)

Then the cost conversion is ...

$\dfrac{\$1.31\text{ CAD}}{1\text{ L}}\times\dfrac{3.785411784\text{ L}}{1\text{ gal}}\times\dfrac{\$1.02\text{ USD}}{\$1.00\text{ CAD}}\approx\boxed{\$5.058\text{ USD/gal}}$

The cost per gallon in terms of US dollars is about $5.06.

The cost for 12 gallons will be ...

(12 gal)×($5.058 /gal) ≈ $60.70

It will cost you $60.70 to fill your 12 gallon tank.

<em>Additional comment</em>

The price of gas is routinely specified to tenths of a cent, both in the US and in Canada. As of today, the cost of gas in Canada has declined to $1.864 CAD/liter. At today's exchange rate of about $0.77 USD per CAD, the equivalent price is $5.406 USD/gal.

8 0

2 years ago