Prove ∆BAC is congruent to ∆CDB

Mathematics

1 answer:

statuscvo [17]3 years ago

4 0

If the figures have congruent angle and measurement to eacg other

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A floor is made up of 20 triangular tiles, each with sides 40 cm, 24 cm and 32 cm. Find the cost of polishing the floor at the r

pochemuha

Answer:

$15360\,\,rupees$

Step-by-step explanation:

Let sides of the triangle be $a,b,c$

$a=40\,,\,b=24\,,\,c=32$

Semi-perimeter (s) = $\frac{a+b+c}{2}$

$=\frac{40+24+32}{2}\\ =\frac{96}{2}\\=48$

Area of one tile $=\sqrt{s(s-a)(s-b)(s-c)}$

$=\sqrt{48(48-40)(48-24)(48-32)}\\ =\sqrt{48(8)(24)(16)}\\ =\sqrt{147456} \\=384\,\,cm^2$

So,

Area of 20 tiles $=20(384)=7680\,\,cm^2$

Cost of polishing the floor at the rate of 2 rupees per sq.cm = $7680(2)=15360\,\,rupees$

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3 years ago

Problem 1

Salsk061 [2.6K]

Answer:

a- 3 batches

$1 \frac{1}{2} = 1.5$

c- 0.5 batches

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3 years ago

Will says that in the number 8,184, one 8 is 10 times as great as the other 8. Is he correct? Explain why or why not.

Vinil7 [7]

No he is not correct .
Break apart the number 8,184
You will get
8000 + 100 + 80 + 4

The numbers we are comparing are 8000 and 80

80 x 10 = 800

The number we are looking for is 8000

This makes the claim that one 8 is 10 times greater false as it is in fact 100 times as great.

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2 years ago

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The theoretical probability of choosing Event A is 2

Crazy boy [7]

Answer: $\dfrac{5}{7}$