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iris [78.8K]
3 years ago
5

Please help me out !! i rlly need it!

Mathematics
1 answer:
maks197457 [2]3 years ago
7 0
So we want to use the Pythagorean a^2 + b^2 = c^2

The answer is explained in photo. B

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If the expression $3^1 times 9^2 times 27^3 \times 81^4 is simplified to the form 3^n, what is the value of n?
Darina [25.2K]

Answer:

n=30

Step-by-step explanation:

Given expression:

3^1\times 9^2\times 27^3\times 81^4

The given expression needs to be simplified to the form 3^n

Applying the exponents rule to simplify.

3^1\times 9^2\times 27^3\times 81^4

Writing all numbers as product of 3.

⇒ 3^1\times (3\times3)^2\times (3\times3\times3)^3\times (3\times3\times3\times3)^4

Writing each in exponents form.

⇒ 3^1\times (3^2)^2\times (3^3)^3\times (3^4)^4

Using power of a power rule [\ (a^x)^y=a^{xy}\ ]

⇒ 3^1\times 3^4\times 3^9\times 3^16

Using multiplication rule of exponents [\ a^x\times a^y=a^{x+y}\ ]

⇒ 3^{1+4+9+16}

⇒ 3^{30}

So we have 3^n=3^{30}

∴ n=30

8 0
2 years ago
Evaluate the expression when b= -2, b2 +6b +9
Tema [17]

Answer:

1

Step-by-step explanation:

b= -2, b2 +6b +9

=-2(2)+6(-2)+9

=-4-12+9

=4+9-12

=13-12

=1

4 0
3 years ago
What is the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:35? A. 72.5° B. 9
Kruka [31]
A) Minute Hand:
in 1 hour (= 60 minute) the minute hand travels 360 °
So in each minute, the minute hand travels 360/60 = 6°
And in x minute it will travel x.(6°)

B) Hour Hand:
in 1 hour (= 60 minute) the hour hand travels 360/12 = 30°
So in each minute, the hour hand will travel 30°/60° = 0.5°
And in x minute it will travel x.(0.5°)

ANGLE AT 4:35?

At 4:00, angle = 4. 30 = 120°
After 35 minutes, the minute hand strops at 35.(6°) = 210°, but during this 35 minute, the hour hand traveled 35.(0.5) = 17.5°, on top of its 120°, that makes an angle of 137.5°

So at 4:35 the angle between the hour & minute hand = 210°-137.5° =72.5°

Answer A


8 0
2 years ago
Find the area of a triangle with a base of 10 in. and an altitude of 14 in. (The formula for the area of a triangle is A = bh ÷
Vanyuwa [196]

Answer:

The correct option is B.

Step-by-step explanation:

The area of triangle is

A=\frac{1}{2}\times b\times h

Where, b is the base of the triangle and h is the height of the triangle.

It is given that the base of the triangle is 10 inch and the height of the triangle is 14 inch.

The area of given triangle is

A=\frac{1}{2}\times 10\times 14

A=10\times 7

A=70

Therefore the area of triangle is 70 square inch and the option B is correct.

3 0
3 years ago
Read 2 more answers
Pls help me i will give brainliest
qwelly [4]

Answer:

both the groups have the same value for the first quartile

7 0
3 years ago
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