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3 years ago

the ratios swans to ducks in a pond is 7 to 6 if there are 39 swans and Ducks all together then how many ducks are there?

Mathematics

1 answer:

frosja888 [35]3 years ago

7 0

Answer:

18 ducks

Step-by-step explanation:

add the parts of the ratio 7 + 6 = 13

divide the total by 13 to find one part of the ratio

$\frac{39}{13}$ = 3 ← 1 part of the ratio

7 parts = 7 × 3 = 21 ← number of swans

6 parts = 6 × 3 = 18 ← number of ducks

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The altitude drawn to the hypotenuse of a right triangle divides the hypotenuse into segments such that their lengths are in rat

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In geometry, it would be always helpful to draw a diagram to illustrate the given problem.

This will also help to identify solutions, or discover missing information.

A figure is drawn for right triangle ABC, right-angled at B.

The altitude is drawn from the right-angled vertex B to the hypotenuse AC, dividing AC into two segments of length x and 4x.

We will be using the first two of the three metric relations of right triangles.

(1) BC^2=CD*CA (similarly, AB^2=AD*AC)

(2) BD^2=CD*DA

(3) CB*BA = BD*AC

Part (A)

From relation (2), we know that

BD^2=CD*DA

substitute values

8^2=x*(4x) => 4x^2=64, x^2=16, x=4

so CD=4, DA=4*4=16 (and AC=16+4=20)

Part (B)

Using relation (1)

AB^2=AD*AC

again, substitute values

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=8sqrt(5)

=17.89 (approximately)

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3 years ago

About how much money did the forth grade students raise? Explain.

ozzi

(32x12) +(25x14)+ (18x14) + (47x12)=

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3 years ago

Neeeddd helppppp now !

MariettaO [177]

Answer:

C. a=12ft, b=12ft

Step-by-step explanation:

This is a 45*-45*-90* triangle

"a" and "b" are the same

and the hypotenuse (which is 12 square roots of 2) is square root of 2 times as long as each leg.

so the answer must be:

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3 years ago

What is the perimeter of this red polygon? Please Need Help Badly!!

iogann1982 [59]

Add all the side that is
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3 years ago

Carlita has a swimming pool in her backyard that is rectangular with a length of 26 feet and a width of 14 feet. She wants to in

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Lets solve the question,

Given dimensions are:

Length = 26 feet

Width = 14 feet

concrete walkway with width = c

After installing the concrete walkway dimensions of the walkway will be,

Length = 26 + 2c

Width = 14 + 2c

She wants to build a wooden deck around the pool with a concrete walkway of width = w

Thus the dimensions of the wooden deck around the pool will be,

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Now the perimeter of the wooden deck will be,

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Therefore, perimeter of the wooden deck would be: 80 + 8c + 8w

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Learn more about Perimeter on:

brainly.com/question/397857

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2 years ago