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3 years ago

Help on geometry. Please

Mathematics

1 answer:

Vika [28.1K]3 years ago

6 0

Answer:

AC<AB+BC

If you were to flatten out the distance AB and BC, logically speaking, you'd get a larger distance than the distance AC.

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What is the product of (6)(-10)? 70 60 -60

iogann1982 [59]

Answer:

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Step-by-step explanation:

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3 years ago

A climber who is 6 feet tall, casts a shadow that is 20 feet tall, at the same time that a tree casts a shadow which is 90 feet

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3 years ago

What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b

kramer

Option C: $a=3, b=4$ is the value of a and b

Explanation:

Given that the expression $\sqrt{648}=\sqrt{2^a\times3^b}$

We need to determine the value of a and b

Let us consider the term $\sqrt{648}$ and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

$648=2 \cdot 324$

324 divides by 2,

$648=2 \cdot 2 \cdot 162$

162 divides by 2,

$648=2 \cdot 2 \cdot 2 \cdot 81$

81 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 27$

27 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 9$

9 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3$

Thus, we have,

$\sqrt{648}=\sqrt{2^{3} \cdot 3^{4}}$

Therefore, equating the powers of 2 and 3, we get,

$a=3, b=4$

Hence, the value of a and b is 3 and 4

Thus, Option C is the correct answer.

4 0

3 years ago

Read 2 more answers

What is the simplest form of 4 square root 81x^8y^5?

olasank [31]

Firstly,
thanks for posting this.

81 = 9x9 or 9 squared so at this stage I'm guessing the last two.
x^ 8 = (x^ 4) x (x^ 2) (its called the multiplication rule of indices).
Okay I have approx 14 mins to answer.
No panic
√ 81.x^8 x √ y^5
√ (9x^2 x 9x^6) x √ y^5
= 9x x √ 9x^6 x √ y^5
did I just gain time?
√ 9x^6 = √ 3x ^3 x √ 3x ^ 3
or 2 . √ 3x^3. √ y^5
more time
okay, so that wasnt successful.
√ 9x^6 =√ (3x^2) x √ (3x^4)

5 0

3 years ago