Which expression is equivalent to sin(20°)cos(80°) – cos(20°)sin(80°)?

sin(–60°)
cos(–60°)
cos(60°)
sin(60°)

Answer:

90(8) + 2(38) = 270 + 76 = 346p

Step-by-step explanation:

Answer:

the healthcare practitioners; and technical occupations.

Explanation:

According to data presented on the graphs, it is reasonable to conclude that the job groups with the highest expected growth rates over the period 2014 - 2024 are the Healthcare practitioners and the technical occupations; which is said to add a total of about 2.3 million jobs.

Answer:

B.

Step-by-step explanation:

16 * 4 = 64

The square root of 64 is 8, the square root of 16 is 4, and the square root of 4 is 2

4 * 2 = 8

Please mark Brainliest thank you!!

Answer: the answer is -6

use symbolab

Answer:

Step-by-step explanation:

[tex]y=\frac12(x+4)(x-2)\quad\implies\quad x_1=-4\,,\ \ x_2=2[/tex]

vertex is (p, q) where:

[tex]p=\dfrac{x_1+x_2}2=\dfrac{-4+2}2=\dfrac{-2}2=-1\\\\q=f(p)=\frac12(-1+4)(-1-2)=\frac12(3)(-3)=-\frac92=-4.5[/tex]

So the vertex is: (-1, -4.5)

Answer:

8 and 1/11.

Step-by-step explanation:

Answer:

8 1/11

Step-by-step explanation:

Hope this helps!!

Just in case :

(8 and 1/11)

Answer:

g(x)= 9 cos (x - [tex]\frac{\pi}{3}[/tex]) +7

Step-by-step explanation:

What is given is f(x) = g cos (x - pi/2) + 3

Note that the standard form of cosine function is a cos (bx + c) + d

a= amplitude

-c/b = phase shift

d = vertical shift

After moving pi/6 to the left --

x = pi/2 - pi/6 = pi/3

once moving pi/6 left, it is at pi/3

moving 4 units up just means adding 4 + 3, and that equals 7, that would be the vertical shift once applied.

So the equation that represents g(x) is C. 9 cos (x - pi/3) + 7

The equation that represents the function g(x) is [tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]

The function is given as:

[tex]f(x)=9 \cos (x-\frac{\pi}{2})+3[/tex]

The function f(x) is first translated [tex]\frac{\pi}{6}[/tex] units left.

The rule of this translation is:

[tex](x,y) \to (x + \frac{\pi}{6},y)[/tex]

So, we have:

[tex]f'(x)=9 \cos (x+ \frac{\pi}{6}-\frac{\pi}{2})+3[/tex]

Take LCM

[tex]f'(x)=9 \cos (x+ \frac{\pi - 3\pi}{6})+3[/tex]

[tex]f'(x)=9 \cos (x- \frac{2\pi}{6})+3[/tex]

Divide 2 by 6

[tex]f'(x)=9 \cos (x- \frac{\pi}{3})+3[/tex]

Next, we translate f'(x) 4 units up.

The rule of this translation is:

[tex](x,y) \to (x,y+4)[/tex]

So, we have:

[tex]g(x)=9 \cos (x- \frac{\pi}{3})+3 +4[/tex]

[tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]

Hence, the equation that represents the function g(x) is [tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]

Read more about function transformation at:

https://brainly.com/question/1548871

Answer:

D

Step-by-step explanation:

AP3X

pog

The altitude of the triangle is 4√3 which is the correct option (D)

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

In any equilateral triangle, the three angles are of equal measure and they equal 60 degrees.

When we drop a perpendicular that is the height of the triangle we have a 30 -60 90 triangle.

The hypotenuse = 8

Let, perpendicular = a and base = 4

According to Pythagoras theorem,

A right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

perpendicular²+base² = hypotenuse²

a² + (4)² = (8)²

a² + 16 = 64

a² = 64 - 16

a² = 48

a = √48

a = 4√3

Hence, the altitude of the triangle is 4√3

Learn more about the right triangle here:

brainly.com/question/6322314

#SPJ5

Answer:

140,000,687

Step-by-step explanation:

Answer: 0.3, 30%, or 3/10

Step-by-step explanation:

Andrea ate 1/4 of the pizza.

1/4 = 0.25

Her brother ate 35% of the pizza.

35% = 0.35

Her mom at 0.10 of the pizza.

1 - 0.25 - 0.35 - 0.10 = 0.3 of the pizza

0.3 = 30% = 3/10

Answer:

Length= 7 Width=2

Step-by-step explanation:

Answer:

4.8333

Step-by-step explanation:

It is a repeating decimal. Hope it helps

The decimal form of the given fraction is 4.8333

Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point. For example, 12.5 is a decimal number.

Given that, convert 4 5/6 into a decimal,

The given mixed fraction is =

4 5/6

Converting into fraction,

29 / 6

Dividing 29 by 6, we get,

29 / 6 = 4.833

Hence, the decimal form of the given fraction is 4.8333

Learn more about decimal forms, click;

https://brainly.com/question/16361602

#SPJ5

Answer:

helppppp

Step-by-step explanation:

Answer:

m: 88

n: 112

v: 88

r: 112

Answer:

Step-by-step explanation:

1cm = 5km

?cm = 45km.

Solve by dividing 45 by 5.

If the distance is 45km, on the map this will be 9cm.

Answer:

33

Step-by-step explanation:

I hope this helps!

Answer:

33 pillowcases

Step-by-step explanation:

16.5 yard of fabric/ 1.5 yards of fabric = 11 yards of fabric

Multiply 11 (yards of fabric) by 3 (# of pillowcases) to get the number of pillowcases you can make with 16.5 yards of fabric.

11 * 3 = 3 pillowcases

Answer:

( 20 × 10 ) + ( 20 × 7 ) + ( 2 × 10 ) + ( 2 × 7 )

Step-by-step explanation:

To create partial products when multiplying two numbers, first break the numbers up into a sum of two numbers. The order that these numbers are multiplied does not necessarily matter as long as they are multiplied with the correct numbers.

22 × 17 = (20 + 2)(10 + 7) = 20 (10 + 7) + 2 (10 + 7) =

( 20 × 10 ) + ( 20 × 7 ) + ( 2 × 10 ) + ( 2 × 7 )

= 374

You can check this method works by using your calculator, and multiplying 22 by 17 to get 374 again!

Then just add like you would if when you distribute.

Remember FOIL (First, Outer, Inner, Last)

when multiplying two binomials(2 terms) or distributing factors with two terms.

For example:

(a + b)(c + d) =

F F

O O

I I

L L

(a × c) + (a × d) + (b × c) + (b × d)

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

(0,0) represents the cost of 0 bags of candy.

where (1,2) tells us that 1 bag of candy costs $2....(2,4) and 2 bags of candy costs $4.....(3,6) and 3 bags of candy cost $6

Step-by-step explanation:

Answer:

Cos ( 40 + 10)

Step-by-step explanation:

The expression Cos( A + B)

Can be written as;

CosA CosB - SinASin B

Applying this particular case in this question;

Cos (40 + 10) = cos 40cos 10 - sin 40 sin 10

Answer:

its cos(40-10)

Step-by-step explanation:

It is 14 because if you do prime factorization:

14 = 2 x 7

42 = 2 x 3 x 7

They have the factors 2 and 7 in common.

2 x 7 = 14.

Answer:

The GCF is 14!

Step-by-step explanation: Okay Lets multiply to get 42, 14 x 1 is 14, 14 x 2 is 28, 14 x 3 is 42! We also know that this is the GCF because 42 and 14 can both be divided by 14!

Answer:

Step-by-step explanation:

I dont see the drawling...

Answer:

9

Step-by-step explanation: you do

54 divided by 6 and get 9 and because 54 is negative then that means your answer will be negative so I am pretty sure the answer you are looking for is 9. :)

Answer:

x=127

Step-by-step explanation:

total sum of all angle of triangle is 180 degree

Now,

taking angle A let interior angle be Y

taking angle C let interior angle be Z

Again, In angle A

the sum of interior angle and exterior angle is 180 degree being staright line

Or, y+(x+5)=180

or,x+y=180-5

or, x+y=175

or,y=175-x --------eqn 1

In angle C

the sum of interior angle and exterior angle is 180 degree being staright line

or, x+z=180

or, z=180-x ----------eqn2

Again, In triangle ABC

total sum of all angle of triangle is 180 degree.

Angle A+ Angle B + AngleC=180

Or, y+79+z=180 -------eqn3

putting the value of eqn-1 and eqn-2 in eqn-3

Or, 175-x+79+180-x=180

Or, 431-180= 2x

Or, 254÷2=x

hence X= 127 degree

Answer:

c127

Step-by-step explanation:

Answer:

-0.2

Step-by-step explanation:

Answer:

-0.2

Step-by-step explanation:

Answer:

angles 3, 7, and 6 are congruent to angle 2

angles 3, 7, and 2 are congruent to angle 6

angles 4, 8, and 5 are congruent to angle 1

angles 3, 6, and 2 are congruent to angle 7

Please mark Brainliest

Answer:

∠3,∠7,∠2 congrent to  6

∠3,∠7,∠6 congruent to 2

∠4,∠8,∠5  congruent to 1

∠3,∠6,∠2  congruent to 7

Step-by-step explanation:

Answer:

the slope is -3/5

Step-by-step explanation:

did it help

Answer:

25% of 1250 = 312.5

35% of 1250 = 437.5

75% of 1250 = 937.5

Step-by-step explanation:

1250/100 = 12.5

12.5 * 25 = 312.5

12.5 * 35 = 437.5

12.5 * 75 =  937.5

Answer:

27x7=189.

189x5= ***945cm***

Answer:

3 weeks.

Step-by-step explanation:

Answer:

3 weeks

Step-by-step explanation:

Hope this helps