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marta [7]
3 years ago
6

A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many DUCKS are there?

Mathematics
2 answers:
creativ13 [48]3 years ago
6 0

Answer:

2 ducks 8 pigs

Step-by-step explanation:

4 + 32 = 36

bagirrra123 [75]3 years ago
4 0

Answer:

let no of pigs=x

ducks=y

x+y=10.....(1)

4x+2y=36

2x+y=18....(2)

by(1)..y=10-x

putting vvalue

2x+10-x=18

x=8

ducks=8

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For a moving object, the force acting on the object varies directly with the objects acceleration. When the force of 63 N acts o
Serjik [45]

Answer:

49N

Step-by-step explanation:

Step one

Given

When the force of 63 N acts on a certain object

the acceleration of the object is 9/ms^2

Firstly, we need to calculate the mass m

F=ma-------1

m= F/a

m= 63/9

m= 7kg

Step two:

Also, if the acceleration of the object becomes 7 m/s^2

then the force

Note: the mass remains the same= 7kg

F=ma

F=7*7

F= 49N

4 0
3 years ago
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Allisa [31]

Answer:

Types of polygon

Polygons can be regular or irregular. If the angles are all equal and all the sides are equal length it is a regular polygon.

Regular and irregular polygons

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To find the sum of interior angles in a polygon divide the polygon into triangles.

Irregular pentagons

The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.

Example

Calculate the sum of interior angles in a pentagon.

A pentagon contains 3 triangles. The sum of the interior angles is:

180 * 3 = 540

The number of triangles in each polygon is two less than the number of sides.

The formula for calculating the sum of interior angles is:

(n - 2) * 180  (where n is the number of sides)

6 0
3 years ago
PLEASE HELP! ILL MARK BRAINLIEST
Lunna [17]

Subtracting a number from x shifts the graph that may places tot he right

Subtracting a number at the end of the equation, shifts the graph that many units down.

The answer would be: Shift the graph of y = x^2 right 2 units and then down 10 units.

4 0
3 years ago
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ill decides to move her fish from a 20 gallon aquarium to a 50 gallon aquarium. She added 3 tablespoons of salt to her old aquar
klemol [59]

In the old aquarium, 3 tablespoons of salt were used for 20 gallons. That's a conversion ratio of

\dfrac{3\,\rm tbsp}{20\,\rm{gal}}=0.15\,\dfrac{\rm tbsp}{\rm gal}

That is, for every gallon of water in the aquarium, there was 0.15 tbsp of salt. So a 50 gallon aquarium, Ill should add

(50\,\rm{gal})\left(0.15\,\dfrac{\rm tbsp}{\rm gal}\right)=7.5\,\rm{tbsp}

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3 0
3 years ago
In triangle ABC, angle = 90 degrees. AC = 7, BC = 12. AB = _______ Measure of angle A = _______ Measure of angle B = _______
Ulleksa [173]

Answer:

AB = 13.89

Measure of angle A = 59.74°

Measure of angle B = 30.26°

Step-by-step explanation:

The given parameters are;

∠C = 90°

AC = 7

BC = 12

Part 1

Hence, the question has the dimensions of the two adjacent sides of the right angle (angle 90°)

From Pythagoras theorem, we have;

A² = B² + C²

Where, A is the opposite side to the right angle, hence;

In the ΔABC,

AB ≡ A

Therefore;

AB² = AC² + BC² = 7² + 12² = 193

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Part 2

∠A is the side opposite side BC such that by trigonometric ratios

tan \angle A = \frac{Opposite \, side \,  to \,  angle \,  A}{Adjacent  \,  side  \, to  \, angle \,  A}  = \frac{BC}{AC} = \frac{12}{7} = 1.714

∴ ∠A = Arctan(1.714) or tan⁻¹(1.714) = 59.74°

Part 3

∠B is found from knowing that the sum of the angles in a triangle = 180°

∴ ∠A + ∠B + ∠C = 180° which gives

59.74° + 90° + ∠B = 180°

Hence, ∠B = 180° - (59.74° + 90°) = 180° - 149.74° = 30.26°.

7 0
3 years ago
Read 2 more answers
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