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avanturin [10]
3 years ago
12

Nd the value of the expression. Type a numerical answer in the space provided. 4 ∙ 1 - 3^2 ÷ 3

Mathematics
1 answer:
Gemiola [76]3 years ago
4 0
This is a problem of Arithmetic that is a branch of mathematics that consists of the study of numbers. Its main goal is the study of the traditional operations on them just as: <em>addition, subtraction, multiplication and</em><span><em> division</em>. </span>There is an order of operation to solve problems in arithmetic that is the way you choose to simplify expressions. This order is like this:

1. First. Solve Parentheses.
2. Second. Solve Exponents (and root).
3. Third. Solve Multiplication and Division
3. Fourth. Solve addition and subtraction.  

So let's apply these concepts to our problem:

4 \times 1-3^2 \div 3

We don't have parentheses, so let's apply second step:

4 \times 1-9 \div 3

Applying third step:

4-3

Finally, applying fourth step, the result is:

1

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If a and b are two angles in standard position in Quadrant I, find cos(a+b) for the given function values. sin a=8/17and cos b=1
n200080 [17]

Recall the sum identity for cosine:

cos(a + b) = cos(a) cos(b) - sin(a) sin(b)

so that

cos(a + b) = 12/13 cos(a) - 8/17 sin(b)

Since both a and b terminate in the first quadrant, we know that both cos(a) and sin(b) are positive. Then using the Pythagorean identity,

cos²(a) + sin²(a) = 1   ⇒   cos(a) = √(1 - sin²(a)) = 15/17

cos²(b) + sin²(b) = 1   ⇒   sin(b) = √(1 - cos²(b)) = 5/13

Then

cos(a + b) = 12/13 • 15/17 - 8/17 • 5/13 = 140/221

6 0
2 years ago
NEED HELP IN FINDING AREA
Aliun [14]

Answer:

809 km²

Step-by-step explanation:

I can split this into 3 rectangles. One is 25 by 17, another is 24 by 13, and the last one is 6 by 12. (I had gotten 13 for the second rectangle because 25 - 12 = 13.)

(25 * 17) + (24 * 13) + (6 * 12) <em>{17 is the first number after a multiple of 4 (16). As a result, 25 by 17 will end in "25." 25 by 17 is 425.}</em>

425 + (24 * 13) + (6 * 12) <em>{24 by 13 is 312.}</em>

425 + 312 + (6 * 12) <em>{6 by 12 is 72.}</em>

425 + 312 + 72 <em>{From left to right, add 425, 312, and 72 to get 809}</em>

737 + 72

809 km²

The area of this figure is 809 km².

5 0
3 years ago
How to do this question -14=k-4
Furkat [3]

Answer: hope this helps .

Step-by-step explanation:

3 0
3 years ago
Simplify the following expression using the commutative and associative properties (combining like terms);
Tasya [4]

Answer:

the answer will be

2x-5

6 0
3 years ago
9+3.5g=11−0.5g<br> g=????
Hoochie [10]
Substitution. g= 1/2
3 0
3 years ago
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