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algol13
3 years ago
7

75° 38 54 +24°52′15"

Mathematics
1 answer:
Deffense [45]3 years ago
5 0

Answer:

  100° 31' 09"

Step-by-step explanation:

There are 60 seconds in a minute, and 60 minutes in a degree.

  75°38'54" +24°52'15" = (75+24)° (38 +52)' (54 +15)"

  = 99° 90' 69"

  = 99° 91' 09" . . . . . turn excess seconds into a minute

  = 100° 31' 09" . . . . turn excess minutes into a degree

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A rectangle has a length of 4x plus 5 and a width of 8x minus 4. Which expression shows the perimeter of that rectangle? A: 4x +
mezya [45]

Answer: The answer is (D) 24x+2.


Step-by-step explanation:  Given that there is a rectangle, where length of the rectangle is given by

\ell=4x+5,

and width of the rectangle is given by

b=8x-4.

We are to find the perimeter of the rectangle. To do so, we need to add two times length with two times breadth of the rectangle.

Therefore, perimeter is given by

p=2\ell+2b=2\times(4x+5)+2\times(8x-1)=8x+10+16x-8=24x+2.

Thus, the correct option is (D).


6 0
4 years ago
A box contains 12 balls numbered 1 through 12. Two balls are drawn in succession without replacement. If the second ball has the
Nikitich [7]
<h2>Answer with explanation:</h2>

A box contains 12 balls numbered 1 through 12.

Also the ball are drawn without replacement.

a)

The probability that the first ball had a smaller number on​ it.

i.e. the number on the first ball could be: {1,2,3}

Hence, the probability  that the first ball had a smaller number on​ it is:

              \dfrac{3}{12}=\dfrac{1}{4}=0.25

b)

The probability that the first ball has a even number on it is:

There are total 6 even numbers {2,4,6,8,10,12}

but 4 can't be considered as it comes on the second draw, so we are left with just 5 balls with even number.

Hence, the probability is:

\dfrac{5}{12}=0.4166

8 0
3 years ago
Evaluate 8-m/n+p^2 when m=8 and n=2 and p=7
Lynna [10]

Answer:

-45

Step-by-step explanation:

8 - 8 / 2 + 7^2

PEMDAS Parenthesis Exponents Multiplication Division Addition Subtraction

Exponents 7^2 = 49

8 - 8 / 2 + 49

Division 8 / 2 = 4

8 - 4 + 49

Addition 4 + 49 = 53

8 - 53

Subtraction 8 - 53 = -45

-45

6 0
4 years ago
How do you raise $7.50 by 20%
MariettaO [177]
First, you multiply $7.50 by 0.2 (20%) to get 1.5. Then, you just add 1.5 to 7.5, and your answer is $9.00.

4 0
3 years ago
Alex bikes 2 3/4 miles. Then, she runs 1 2/4 miles. The distance she bikes is how many times the distance she runs?
anastassius [24]

Answer:

The distance she bikes is 11/6 times as much as the distance she runs.

Step-by-step explanation:

Alex bikes 2.75 miles, runs 1.5 miles. The distance she bikes is 2.75/1.5 times as much as the distance she runs.

The distance she bikes is 11/6 times as much as the distance she runs.

7 0
3 years ago
Read 2 more answers
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