Write the expression as either the sine, cosine, or tangent of a single angle.cosine of pi divided by five times cosine of pi divided by seven plus sine of pi divided by five times sine of pi divided by seven.

Answers

Answer 1

Answer: The expression is:
cos (π / 5) cos (π/7) + sin (π/5) sin(π/7)

This expression can be reduced into a trigonometric function with one angle if we make use of the trigonometric identities. The appropriate identity is:
cos (A - B) = cos A cos B + sin A sin B

If we let
A = π / 5
B = π / 7

Therefore,
cos (π / 5) cos (π/7) + sin (π/5) sin(π/7) = cos (π/5 - π/7) = cos (2π/35)

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According to the rules of significant figures, the number of digits that are estimated in a measurement is:a. one.
b. two.
c. three.
d. none.

Answers

According to the rules of significant figures in counting the number of significant figures when dealing with the measurement, especially when it is scientifically measured, you must consider 2 zeros at the right of the period. For example, in 98.00 there are 4 significant figures

if the quadratic formula is used to find the roots of the equation x^2-6x-19=0, what is the correct roots

Answers

$x^(2) -6x-19=0 \n \ndiscriminant= b^(2)-4ac=> \n 36-(-76)=76+36=112 \n \n -b- √(disc.)/2a=>6- √(112)/2 \n =>6- 4√(7)/2 \n =3- 2√(7) \n \n -b +√(disc)/2a=6+4 √(7) /2 \n =3+ 2√(7) \n \n Solution\: set:(3- 2√(7) ,3+ 2√(7) ) \n \n \framebox[1.1\width]{Good Luck!!} \par$

$x^2-6x-19=0\nx^2-6x+9-28=0\n(x-3)^2=28\nx-3=√(28) \vee x-3=-√(28)\nx=3+2\sqrt7 \vee x=3-2\sqrt7$

Provide a counterexample for the following statement: "The product of two irrational numbers is always irrational."

Answers

Answer:

Step-by-step explanation:

We know that root 2 is irrational, but root 2 times root 2 is 2, which is rational.

Hope this helped!!!

Priya has $30 to spend at the school festival. Admission is $4 and each ride ticket is $2. Which inequality represents the greatest number of ride tickets she can buy2n+4<30
2n+3>30
2n+4≤30
2n+4≥30

Answers

Answer:

4 + 2n ≤ 30

Step-by-step explanation:

Priya has $30 to spend at the school festival.
Each ride ticket costs $2, and the admission is $4.
So, the cost of n ride tickets would be 2n dollars.
The total cost of the admission and ride tickets would be the sum of the admission and the cost of ride tickets: 4 + 2n.
We want to find an inequality that ensures the total cost does not exceed $30.
In other words, we want 4 + 2n to be less than or equal to 30.

Now, let's represent this in an inequality:

4 + 2n ≤ 30

What is the perimeter of the figure in the diagram (round to three decimal places if necessary)?A) 44
B) 36.472
C) 36
D) 28.472

Answers

Answer: 28.472

Step-by-step explanation: You need to find the length of all the outside edges. For the triangles you will need to use the Pythagorean Theorem. The perimeter is 28.472

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