MATHEMATICS HIGH SCHOOL

Write as a single term: sin(25°) cos(10°) − cos(25°) sin(10°).

Answers

Answer 1
Answer:

Answer: cos (25° + 10°)

Step-by-step explanation: The expression:

sin(25°) cos(10°) − cos(25°) sin(10°)

is associated to the expression for the cosine of the sum of two angles that is:

cos (α+β) = sinα *cosβ -cosα*sinβ

Hence if we do α = 25° and β = 10°

by subtitution we get:

cos (25° + 10°) = sin(25°) cos(10°) − cos(25°) sin(10°)

Related Questions

Which of the following expressions is equivalent to : 2-x/x-3 ? Select all that apply.a. 2-x      b. x-2      c. x-2      d. 2 + x   ------           -----     _ ------    --------       3-x              3-x        x-3          x+3
janet's gross pay is $750, from which $31 is deducted for oasdi, $10 for medicare, and $14 for income tax. what is her net pay?
19. Lavina wants to buy a rocking chair for $160. She will pay 10% down and pay the rest in six monthly installments. What will be the amount of each monthly payment?A. $26 B. $27 C. $24 D. $16 20. The ratio of an object's weight on Earth to its weight on Neptune is 5 : 7. How much would a person who weighs 150 pounds on Earth weigh on Neptune? A. 750 pounds B. 107 1/7 pounds C. 210 pounds D. 170 pounds
What percent of 125 is 24
Which answer describes this series? 2 + 4 + 12 + 48 +... e) Neither arithmetic nor geometric f) Both arithmetic and geometric g) arithmetic h) geometric

Which costs more per issue, an 18-issue subscription for $40.50 or a 12-issue subscription for $33.60? Explain. (Make sure to show your work and explain your solution Plz.)

Answers

You have to divide total price by "18 times" for the first and by "12 times" for the second.

So, 

The 18-issue subscription costs (40,50)/(18) =\$2.25 per issue. 
The 12-issue subscription costs (33,60)/(12) =\$2.80 per issue.

Therefore the 12-issue subscription costs more per issue.
The 18-issue subscription costs 40.50/18. You divide 40.50/18. It is 2.25 per issue
The 12-issue subscription costs 33.60/12. You divide 33.60/12. It is 2.80 per issue

Therefore: The 12-issue subscription costs more than the 18-issue subscription.

What is the slope for the equation -1/2x-y=3/4

Answers

-1/2x - y = 3/4
-1/2x - 3/4 = y....so u have a slope of -1/2

Answer:

-1/2

Step-by-step explanation:

The prime factorization of
is 24 x 5

Answers

Answer:

80

Step-by-step explanation:

Answer:

5 x 24 = 120

120 pf= 2 x 2 x 2 x 3 x 5

or the answer is

2^3    x 3 x 5

Step-by-step explanation:

If x is a real number such that x³ = 64, then x² + √x =?

Answers

x^3 = 64\n \nx=\sqrt[3]{64}\n \nx=4 \n \n \n x^2 + √( x )=4^2+√(4)=16+2 =18
If x³=64
,x=∛64=4
x²=16
√x=4
x²+√x=16+2
⇒18

Solve the system of equations using substitution.
3x + 2y = 7
y = –3x + 11

Answers

3x + 2y = 7
y = -3x + 11

Solve the system of equation using substitution.

Substitute the y in the first equation by its value presented in the 2nd equation.

3x + 2y = 7
3x + 2(-3x + 11) = 7
3x - 6x + 22 = 7
-3x + 22 = 7
-3x = 7 - 22
-3x = -15
-3x/-3 = -15/-3
x = 5

Substitute x in the 2nd equation by its computed value. x = 5
y = -3x + 11
y = -3(5) + 11
y = -15 + 11
y = -4

x = 5 ; y = -4

Substitute x and y in the 1st equation with its corresponding values

3x + 2y = 7
3(5) + 2(-4) = 7
15 - 8 = 7
7 = 7

What is the greatest possible error if Irina measured the weight of her dog as 13 pounds?0.1 pounds
0.5 pounds
12.5 pounds
13.5 pounds

Answers

Answer:

Option B is the correct answer.

Step-by-step explanation:

Irina measured the weight of her dog as 13 pounds.

If value is 13 she rounded the values in between 12.5 to 13.49 to 13 pounds.

Maximum possible error = 13 - 12.5 = 0.5 pounds.

Maximum possible error = 0.5 pounds.

Option B is the correct answer.
Other Questions
50% of all the cakes Jenny baked that week were party cakes,1/5 were fruit cakes and the remainder were sponge cakes. What percentage of cakes were sponge cakes?
Solve1/2x+5=15Help please
A company makes concrete paving stones in different sizes. Each stone has a volume of 360 cubic inches and a height of 4 inches. How many different paving stones could be made if any whole number length and width?
W(-3)=-3+7Find W(-3)=