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cricket20 [7]
3 years ago
11

If cos45⁰=0.707 find cos(-45⁰)​

Mathematics
1 answer:
maksim [4K]3 years ago
6 0

Answer:

0.707

Step-by-step explanation:

cos in the 4th quadrant is positive as well as in 1st quadrant.

cos(-45°) is in the 4th quadrant.

So cos40° must equal cos(-45°) which is 0.707.

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What is the solution set of the equation using the quadratic formula?
oee [108]

(1)

we are given

x^2+6x+10=0

we can use quadratic formula

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

now, we can compare and find a , b and c

we get

a=1,b=6,c=10

now, we can plug these values into quadratic formula

x=\frac{-6\pm \sqrt{6^2-4(1)(10)}}{2(1)}

x=\frac{-6+\sqrt{6^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}

we can simplify it

x=-3+i

x=\frac{-6-\sqrt{6^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}

x=-3-i

so, we will get solution

{−3+i, −3−i}.........Answer

(2)

we are given equation as

x^2-8x+14=0

Since, Jamal solve this equation by completing square

so, firstly we will move constant term on right side

so,  subtract both sides by 14

x^2-8x+14-14=0-14

x^2-8x=-14

we can write

-8x=-2\times 4\times x

so, we will add both sides by 4^2

x^2-8x+4^2=-14+4^2

we get

x^2-8x+16=-14+16..............Answer


4 0
3 years ago
Select all the equations that have x=20 as a solution
Orlov [11]
The correct answers are A. 2x= 40 and D. 4x= 80~

A. 2*20= 40
D. 4*20= 80

Hope this helps~
4 0
4 years ago
Read 2 more answers
A shopper bought a 12 pound bag of oranges for $18.75. What is the unit price per ounce?
gregori [183]
For 12 Pounds (= 12 * 16 = 192 Ounce), it costs = 18.75

So, for 1 Ounce, it would be: 18.75 / 192 = 0.097

In short, Your Answer would be: $0.097

Hope this helps!
5 0
3 years ago
Read 2 more answers
Answer two questions about Equations A and B:
tia_tia [17]

Answer:

1. c) Add/ Subtract the same quantity to/from both sides

2) Yes

Step-by-step explanation:

Answer two questions about Equations A and B:

A. 3x – 1= 7

B. Зx = 8

1) To get Equation B from Equation A we need to take the following steps

A. 3x – 1 = 7

We add one to both sides

3x - 1 + 1 = 7 + 1

3x - 0 = 8

3x = 8

Option c is the correct option.

2) We are given Equations:

A. 3x – 1= 7

B. Зx = 8

3x - 1 = 7 = 3x = 8

3x = 7 + 1 = 3x = 8

3x = 8 = 3x = 8

Therefore, we can say, Yes, Equation A is equivalent to Equation B, hence they have the same solution.

8 0
3 years ago
What is the mathematical expression of 25/7
Rudiy27

Answer:

25/7=3.571428

Step-by-step explanation:

the mathematical expression of this equation is very simple that suggest that

25 must be divided by 7 which gives us the answer 3.571428....

this can be easily found by dividing 25 by 7 upto valid decimal digits.

7 0
3 years ago
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