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3 years ago

What is the approximate length?

Mathematics

1 answer:

Usimov [2.4K]3 years ago

4 0

9514 1404 393

Answer:

(a) 75.5

Step-by-step explanation:

There are two ways you can work this.

<u>Pythagorean theorem</u>

Triangle CMP is a right triangle. CM = AC = 55. CP = CB -PB = 55 -15 = 40. Then length PM can be found from ...

PM² +CP² = CM²

PM = √(CM² -CP²) = √(55² -40²) = √1425 ≈ 37.749

The length MN is twice the length of PM, so is ...

MN = 2×PM = 2×37.349 = 75.498

The length of MN is about 75.5.

<u>Using chord relationships</u>

The products of the different lengths for the same chord are the same for the crossed chords.

AP×PB = MP×PN

We know MP = PN, so ...

MP = √(AP×PB) = √((55+40)(15)) = √1425

As before, MN = 2×MP = 2√1425

MN ≈ 75.5

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LenKa [72]

Change 4% into a decimal (.04)

14.30 x .04 = .57

Add the tax to product

14.30 + .57 = 14.87

8 0

3 years ago

you know that if 15÷3=5 then 5×3=15. if you know that 7÷8=7/8, what can you conclued about the product of 7/8 and 8

PSYCHO15rus [73]

Answer:

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Step-by-step explanation:

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2 years ago

A farmer was counting his chickens and pigs. He had 16 animals in all and counted 54 legs. How many chickens does he have

Vikentia [17]

Answer:

5 chickens

Step-by-step explanation:

Let's set chickens and pigs with variables "c" and "p" respectively.

We know there a 16 animals in all, so there are:

c+p=16

We know there are 54 legs and chickens have 2 legs and pigs have 4 legs each:

2c+4p=54

Now we have our system of equations:

c+p=16

2c+4p=54

We are trying to find the number of chickens, so we write the first equation in respect to c.

p=16-c

Substituting the first derived equation to equation two:

2c+64-4c=54

Simplifying:

64-2c=54

2c=10

c=5

So there are 5 chickens.

8 0

3 years ago

Which expression has a positive value?

Leokris [45]

Answer:

im pretty sure C. 3(-64-8) + 25 will give you a positive value

3 0

4 years ago

How to find the area of a square ABC D

____ [38]

Answer:

The answer to your question is 13 u²

Step-by-step explanation:

We know that the small triangle is surrounded by right triangles so we can use the Pythagorean theorem to find the lengths of the small triangle

AD² = 3² + 2²

Simplify

AD² = 9 + 4

AD² = 13

AD = $\sqrt{13}$

Find the area of the square

Area = side x side

Area = AD x AD

Area = $\sqrt{13} x \sqrt{13}$

Area = 13 u²

6 0

4 years ago