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3 years ago

The sum of the digits in a two-digit whole number is 9. The number in the

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

8 0

Answer:

Step-by-step explanation:

x = # in ones place

y = # in tens place

x + y = 9

y = x - 3

substitute:

x + x-3 = 9

2x - 3 = 9

2x = 12

x = 6

y = 3

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a gardener is designing a circular garden. On the blueprint, the garden has a diameter of 16 centimeters. The blueprint has a sc

Ede4ka [16]

Answer:

The actual area of the garden is 1256 square feet.

Step-by-step explanation:

Given:

A gardener is designing a circular garden.

On the blueprint, the garden has a diameter of 16 centimeters.

The blueprint has a scale of two centimeters to five feet.

Now, to find the actual area of the garden.

Let the actual diameter of the garden be $x\ feet.$

And the diameter of the garden on blueprint = $16\ centimeters.$

As, given:

The blueprint has a scale of two centimeters to five feet.

2 centimeters is equivalent to 5 feet.

Thus, 16 centimeters is equivalent to $x\ feet.$

Now, to get the actual diameter by using cross multiplication method:

$\frac{2}{5} =\frac{16}{x}$

By cross multiplying we get:

$2x=80$

Dividing both sides by 2 we get:

$x=40\ feet.$

<em>Thus, the actual diameter of the garden is 40 feet.</em>

Now, to get the area of the garden we get the radius and then put the formula of area:

Radius = $\frac{Diameter}{2}$

Radius(r)= $\frac{40}{2}=20\ feet.$

$Area =\pi r^2.$

$Area=3.14\times 20^2$

$Area=3.14\times 400$

$Area=1256\ square\ feet.$

Therefore, the actual area of the garden is 1256 square feet.

3 0

3 years ago

Can someone help me with the first 3 as it is my first time doing it ? <br> I need help

Fed [463]

You problem is you don't have any problem. You have a bunch of formulas for the perimeter and area of some shapes.

As for using the formulas, usually you're given all but one of the variables and you can solve for the remaining one.

Notice how the triangle result doesn't have area as a function of a, b and c. That's called Heron's formula and is usually not taught to secondary school students. I don't like to teach it either because Archimedes' Theorem is so much better:

The sides a,b,c and area S of a triangle satisfy

$16S^2 = (a+b+c)(-a+b+c)(a-b+c)(a+b-c) = 4a^2b^2-(c^2-a^2-b^2)^2 = (a^2+b^2+c^2)^2 - 2(a^4+b^4+c^4)$

7 0

3 years ago

Find the measure of c

Dmitrij [34]

Answer:

A. 149

Step-by-step explanation:

When a quadrilateral is inscribed in a circle, the sum of the opposite angles in the quadrilateral equal (180) degrees. Applying this theorem here, one can state the following:

c + 31 = 180

Inverse operations,

c + 31 = 180

c = 149

Thus, option (A) is the correct angles: ( c = 149°)

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3 years ago

A standard deck of 52 cards contains four suits: clubs, spades, hearts, and diamonds. Each deck contains an equal number of card

Artist 52 [7]

Answer:

A) The theoretical probability of choosing a heart is 1/16 greater than the experimental probability of choosing a hear

Step-by-step explanation:

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3 years ago

A store offers a discount of 15% on all items. Mr. Serzan is buying a crazy hat for school that costs $40. How much will he pay

Advocard [28]

Answer:

The correct answer should be A. 6

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3 years ago