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3 years ago

Convert 42.5 degrees to radians. Please no decimals.

Mathematics

1 answer:

Reptile [31]3 years ago

8 0

Answer:

formulato convert degree into decimals 42.5Deg × π/180 = 0.7418Rad

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Point A is (-9,-3) and is translated 4 left and 2 down. Where is A' at?

mezya [45]

Answer:

A translation maps point A(3,7)A(3,7)A, left parenthesis, 3, comma, 7, right parenthesis to point A'(6,-2)A

′

(6,−2)A, prime, left parenthesis, 6, comma, minus, 2, right parenthesis. Let's determine what translation this is.

Solution

Step 1: Horizontal shift. AAA is shifted 333 units to the right because (6)-(3)=\tealD{+3}(6)−(3)=+3left parenthesis, 6, right parenthesis, minus, left parenthesis, 3, right parenthesis, equals, start color #01a995, plus, 3, end color #01a995.

Step 2: Vertical shift. AAA is shifted 999 units down because (-2)-(7)=\maroonD{-9}(−2)−(7)=−9left parenthesis, minus, 2, right parenthesis, minus, left parenthesis, 7, right parenthesis, equals, start color #ca337c, minus, 9, end color #ca337c.

The answer: AAA is mapped onto A'A

′

A, prime under a translation by \langle \tealD{3},\maroonD{-9} \rangle⟨3,−9⟩open angle, start color #01a995, 3, end color #01a995, comma, start color #ca337c, minus, 9, end color #ca337c, close angle.

Step-by-step explanation:

5 0

3 years ago

When converting a percent (%) into a decimal (.), you move the decimal point 3 places to the right. When converting a percent (%

FrozenT [24]

Answer:

The decimal point moves 2 places to the right.

Step-by-step explanation:

EX:

decimal: .95

percent: 95%

the decimal point moves 2 places to the right

6 0

3 years ago

Madi has $8.80 in pennies and nickels.

shepuryov [24]

Let p = number of pennies.
Let n = number of nickels.

We are given that n= 2p and the total value is $8.80.

We know that a penny = $0.01 and that a nickel = $0.05.

So $0.01p + $0.05n = $8.80.

Substitute 2p for n:
$0.01p + $0.05*2p = $8.80

$0.01p + $0.10p = $8.80

$0.11p = $8.80

p = 80
So n = 2p = 2*80 = 160

Thus there are 80 pennies ($0.8) and 160 nickels ($8.00). The value of all the coins is $8.80.

7 0

3 years ago

Kristina used synthetic division to divide the polynomial f(x) by x−2, as shown on the table. What is the value of f(2)? −14 −11

UNO [17]

Answer:

-11

Step-by-step explanation:

The answer to the first one sould be -11

2x^3 +5x^2−x−6

Write 5x^2 as 4x^2 + x^2......and we have.....

2x^3 + 4x^2 + x^2 - x - 6

2x^2 ( x + 2) + ( x + 2)(x - 3)

(x + 2) [ 2x^2 + x - 3]

(x + 2) (2x +3) (x - 1)

x^3−4x^2−3x+18 = 0

Using some synthetic division, we have

3 [ 1 - 4 -3 18 ]

3 -3 -18

_______________

1 -1 -6 0

The remaining polynomial is x^2 - x - 6 which factors as (x - 3) ( x + 2)

So .... the factored form is (x - 3) ( x - 3) ( x + 2) = ( x + 2) ( x - 3)^2 = 0

4 0

3 years ago

Solve the inequality:2y-2<14

My name is Ann [436]

2y - 2 < 14
2y < 14 + 2
2y < 16
y < 16/2
y < 8

7 0

3 years ago