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Darya [45]
3 years ago
5

What is 0.4to the power of 6

Mathematics
2 answers:
maxonik [38]3 years ago
7 0

0.4^6 is 0.004096

hope it helps

Gnoma [55]3 years ago
7 0

0.4 to the sixth power = 0.004096

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A wooden board is leaning against a house
kobusy [5.1K]

Answer:

24.4 feet

Explanation:

Let x be the length of the wooden board as shown in the diagram.

Using trigonometry ratio, we can write

\cos(35)=\frac{20}{x}

\implies0.819= \frac{20}{x}

cross multiplying we get:

0.819 \times x = 20

Diving through by 0.819, we obtain

x = 24.42

To the nearest tenth, x=24.4 feet.

6 0
3 years ago
Which two fractions name point R on the number line?
3241004551 [841]

Answer:

The answer is D.) 6/8 and 3/4

Step-by-step explanation:

If you count how many lines there are you get 8 lines so we know the denominator has to be eight and since the point is on the 6th line the first one is 6/8 and since you can simplify it you get 3/4 which gives you D.)

Hope I helped

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4 0
3 years ago
Looking at angle DEF which statement is true
Dennis_Churaev [7]

Answer:

B.  <D = <F  

hope this helps


3 0
4 years ago
A stadium has 50,000 seats. Seats sell for $25 in section A, $20 in section B, and $15 in section C. The number of seats in sect
Novay_Z [31]

Answers:

section A = 25,000 seats

section B = 14,200 seats

section C = 10,800 seats

Your teacher may want you to leave out the commas from each number.

=============================================================

Work Shown:

  • A = number of seats in section A
  • B = number of seats in section B
  • C = number of seats in section C

A = B+C

A+B+C = 50,000

B+C+B+C = 50,000

2(B+C) = 50,000

B+C = 50,000/2

B+C = 25,000

C = 25,000 - B

25A + 20B + 15C = 1,071,000

25(B+C) + 20B + 15C = 1,071,000

25(25,000) + 20B + 15(25,000 - B) = 1,071,000

625,000 + 20B + 375,000 - 15B = 1,071,000

1,000,000 + 5B = 1,071,000

5B = 1,071,000 - 1,000,000

5B = 71,000

B = (71,000)/5

B = 14,200 is the number of seats in section B

C = 25,000 - B

C = 25,000 - 14,200

C = 10,800 is the number of seats in section C

A = B+C

A = 14,200 + 10,800

A = 25,000 is the number of seats in section A

--------------

Check:

A+B+C = 25,000+14,200+10,800 = 50,000

5 0
2 years ago
Please someone help me to prove this. ​
morpeh [17]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Use the Double Angle Identity: sin 2Ф = 2sinФ · cosФ

Use the Sum/Difference Identities:

sin(α + β) = sinα · cosβ + cosα · sinβ

cos(α - β) = cosα · cosβ + sinα · sinβ

Use the Unit circle to evaluate: sin45 = cos45 = √2/2

Use the Double Angle Identities:   sin2Ф = 2sinФ · cosФ

Use the Pythagorean Identity: cos²Ф + sin²Ф = 1

<u />

<u>Proof LHS → RHS</u>

LHS:                                  2sin(45 + 2A) · cos(45 - 2A)

Sum/Difference: 2 (sin45·cos2A + cos45·sin2A) (cos45·cos2A + sin45·sin2A)

Unit Circle:    2[(√2/2)cos2A + (√2/2)sin2A][(√2/2)cos2A +(√2/2)·sin2A)]  

Expand:        2[(1/2)cos²2A  + cos2A·sin2A + (1/2)sin²2A]

Distribute:              cos²2A   + 2cos2A·sin2A + sin²2A  

Pythagorean Identity:    1 + 2cos2A·sin2A

Double Angle:                1 + sin4A

LHS = RHS:  1 + sin4A = 1 + sin4A   \checkmark

6 0
3 years ago
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