helpppp fastttt pleaseeeeeee

[tex]\cos(\theta+60^{\circ})=\cos \theta \cos 60^{\circ}-\sin \theta \sin 60^{\circ} \\ \\ =\frac{1}{2}\cos \theta-\frac{\sqrt{3}}{2}\sin \theta \\ \\ \therefore a=-\frac{\sqrt{3}}{2}, b=\frac{1}{2}[/tex]

Recall that [tex]\cos(x)+\cos(y)=2\cos \left(\frac{x+y}{2} \right)\cos \left(\frac{x-y}{2} \right)[/tex].

[tex]\cos(12x)+\cos(16x)=0 \\ \\ 2\cos(2x)\cos(14x)=0 \\ \\ \cos(2x)\cos(14x)=0[/tex]

If [tex]\cos(2x)=0[/tex], then [tex]x=\frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \cdots[/tex].

If [tex]\cos(14x)=0[/tex], then [tex]x=\frac{\pi}{28}, \frac{3\pi}{28}, \frac{5\pi}{28}, \cdots[/tex].

So, the three smallest positive [tex]x[/tex] intercepts are [tex]\frac{\pi}{28}, \frac{3\pi}{28}, \frac{5\pi}{28}[/tex].

Answer:

10 ft

Step-by-step explanation:

Because if you look on the other side to the 6 you can tell its going to be bigger and it looks like it would be 4 more, and it wouldn't be ft squared because the rest arent like that so ft is the only one that matches the rest.

Answer:

Step-by-step explanation:

Displacement = Average Velocity * time; I found time to be 2.22 seconds. (Displacement is the runway's length, 80 meters and the Average

Answer:

Step-by-step explanation:

Displacement = Average Velocity * time; I found time to be 2.22 seconds. (Displacement is the runway's length, 80 meters and the Average

Answer: -3

Step-by-step explanation: You have to multiply 8*-2 resulting in -16*5 which’s equals -80 and divide 240 by -80 giving you -3

Answer:

Step-by-step explanation:

6x2=12inches = 1feet

12x30=360inches=30 feet

12x35=420 inches = 35 feet

(2x360)+(2x420)=P

P = 1560inches

Answer: Im not sure if im correct but i tried my hardest

21.6 (6 is repeating)

Step-by-step explanation:

30 divided by 6 = 5

35 divided by 6 = 5.83 (3 is repeating)

5.83+5.83+5+5=21.6 (6 is repeating)

Answer: (2,-6)

Step-by-step explanation:

Answer: hope this helps ♡

The coordinates of S' are (2,-6).

Step-by-step explanation:

S = (6,2)

S rotated 90° = (-2,6)

S rotated 90° = (-6,-2)

S rotated 90° = (2,-6)

Answer:

Step-by-step explanation:

To find the value of x, we need to divide 52 by 13.

13 multiplied by x = 52

x = 52 / 13

x = 4

So x is 4.

Answer:

(x + 8)(2x - 3)

Step-by-step explanation:

The first thing we need to do is REWRITE the middle term so that a x c = 2 x -24 = -48 AND the sum of b is 13. Please see below for the steps: 2x2 + 13x - 242x2 - 3x + 16x -24 x(2x - 3) + 8(2x - 3)  

Answer:

Step-by-step explanation:

(1) [tex]4x^2 + 36x + 80[/tex]

Let's factorise it:

[tex]4x^2[/tex] + 16x + 20x + 80

= 4x(x+4) +20(x+4)

= (4x+20)(x+4)

L of photograph = (4x+20)

B of photograph = (x+4)

Excluding the boundary/mat:

L = 4x + 20 - x = (3x + 20)

B = x - x + 4 = (4)

∴Hope this helped. Pls mark it as the BRAINLIEST!

Answer:

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

Entire garden = 7 x 4 = 28m^2
Roses = 3 x 2 = 6m^2
2 Roses = 6 x 2 = 12m^2
Entire garden - 2 Roses = Tulips
So:
28 - 12 = 16 square metres

Answer:

16m2(it's meant to be squared so small 2 on top)

Step-by-step explanation:

1x2=2 (that is for the small turquoise box)

2x7=14(main big box)

2+14=16m2(same here with the 2)

Answer:

Step-by-step explanation:

-2(6x+36)-7x [tex]\leq[/tex] 23

First, multiply -2 with the terms on the parenthesis, using the distributive law

-12x-72-7x[tex]\leq[/tex]23

Then we gather similar terms, x with x, no x with no x

-12x-7x-72 [tex]\leq[/tex] 23

do -12x and -7x calculation

-19x-72[tex]\leq[/tex]23.

Since we want to find the X, we highlight it turning it into the first term

-19x[tex]\leq[/tex]23+72

then add 23 + 72

-19x[tex]\leq[/tex]95

then divide all members on the equation by -19

-19x/(-19)[tex]\geq[/tex]95/(-19)

x[tex]\geq[/tex] -5.

Now, 6x + 10 > 40

since we want to find x, we make it the first term of the inequation

6x>40-10

6x>30

divide all members by 6

x>5

Answer: 2 5/12

Step-by-step explanation:

1 17/12

17 - 12 = 5

2 5/12

Answer:

Step-by-step explanation:

Multiplication is the process of determining the product of two or more numbers in mathematics.

The correct answer is option 2 which is the product of a number and five.

Product =  5 n

It means that n is five times.

Answer:

Coasting Along

Step-by-step explanation:

Convert each number into a percent if it isn't already

you get 40%, 60%, 35%, 62%

Then you choose the greatest one because it offers a greater price reduction

Answer:

Step-by-step explanation:

y=0.1x+10,

slope can be made into a fraction 1/10

slope :1/10

y intercept :=10

draw  the graph with the y intercept (0,10)

slope is defines as y movements/ x movements

move one up from (0,10)

and 10 to the right since it is positive making the next point you can plot (10,11)

you can check if this is correct by plugging x and y in

11=0.1(10)+10,

.1x10=1

11=1+10,

1+10 =11

11=11

do the same to the other side

move down 1 from (0,10) and move 10 to the left

next plot will be (-10,9)

you can check by pluging in x and y

9=0.1(-10)+10,

-10x.1=-1

9=-1+10,

-1+10=9

9=9

Now that you have the points you can draw the line and connect them

Hope this helps

Step-by-step explanation:

Ans:x=2 and y=5

this is called the elimination method in linear graphs and simultaneous linear equations.

1. multiply each equation by suitable number so that they have the same coefficient but in this case, the coefficient is the same

2. subtract/add from the equations

3.solve the new equation

4.substitute the value of x/y into any equation above and solve it

Translating the figure involves chaging the position of the figure

The coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)

The coordinates of the new figure

The coordinates are given as:

(−3, 2), (−4, 1), and (−1, −5)

The rule of translation 3 units right and 5 units up is:

(x + 3, y + 5)

So, we have:

(−3 + 3, 2 + 5), (−4 + 3 , 1 + 5), and (−1 + 3, −5 + 5)

Evaluate the sum

(0, 7), (-1 , 6), and (2, 0)

Hence, the coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)

Answer:

Step-by-step explanation:

Answer:695 pillow

Step-by-step explanation:

You have 395 pillows, and then 3 shipments of 100 pillows come in. 3 shipments x 100 pillows = 300 pillows

395 pillow + the 300 new ones = 695 pillows.

Answer: 695

Step-by-step Explanation: They started with 395 then got three shipments that add up to 300 so 395 + 300 = 600

Answer:

Step-by-step explanation:

4/12

First off, this can be reduced since both the

numerator and denominator are divisible by 4

4/12 = (4(1))/(4(3)) = 1/3

Any fraction equivalent to 1/3 will be equivalent to 4/12

... And, of course, 1/3 is equivalent to 4/12 ...

Any number or fraction does not change in value if

multiplied by 1.  This means you can take your 1/3

or 4/12 and multiply it by any fraction equivalent to

1 and have an equivalent fraction..

Also note that any number divided by itself equals 1

so  a/a = 1 for any given value a except a≠0

(1/3)(2/2) = 2/6

(1/3)(3/3) = 3/9

(1/3)(-2/-2) = -2/-6 = 2/6

(1/3)(4/4) = 4/12   as we know since this is the original fraction

(1/3)(5/5) = 5/15

....

....

1/3, 2/6 , 3/9, 5/15, 6/18, 7/21, ....

There are infinite equivalent fractions to 4/12.

part A: net a  

expatiation just fold it

part c: 63

12 + 36 + 15

Answer:

part A: net a  

part c: 63

12 + 36 + 15

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

5/6 would in percent 83.33%

75 of the 87 states would be 86.20%

so the constitution would be amended

Answer:

5/6 would in percent 83.33%

75 of the 87 states would be 86.20%

so constitution would be amended

Step-by-step explanation:

      The student forgot to divide the factors, 5 and 6, by the "a" value. In this case, that is 2. Then, simplify the fractions. Once we have these values, the numerator is the constant value and the denominator is the coefficient.

             5/2 = 5/2 ➜ (2x + 5)

             6/2 = 3 ➜ (x + 3)

     This student should have factored the expression as;

                 (2x + 5)(x + 3)

Answer:

(2x + 5)(x+3) = 0

Step-by-step explanation:

ac = 5 * 6 = 30
b = 5 + 6 = 11
Factorizing 2x² + 11x + 15,
2x² + 6x + 5x + 15 = 0
2x(x + 3) + 5(x+3) = 0
(2x + 5)(x+3) = 0

∴ x = [tex]\frac{-5}{2}[/tex], -3

(There was a mistake probably because the quadratic equation was considered with 1 as the coefficient as x², so the factorized equation was for x² + 11x + 30. You must take the coefficient of x² as 2 instead, according to the given equation.)

Answer: B [tex]v=\pi 9^{2} h[/tex]

Step-by-step explanation:

to find volume use V=π r^2 h

if the diameter is 18 feet then the radius (r) will be half of that, 9 ft. So, to find the volume we'd just replace the r with 9 in the equation.

Answer:

B

Step-by-step explanation:

π(9)2hV = π ( 9 ) 2 h

The required greatest percent error among the predictions is 1.773% (Approximately 1.8%).

Given that,

The dot plot shows predictions for the winning time in the​ 200-meter sprint.
The winner finished the race in 22.5 seconds.

We have to determine,

What is the greatest percent error among the​ predictions.

According to the question,
The true finishing time is 22.5 seconds.
The prediction furthest from this is 22.9 seconds.
This is a difference of 22.9 - 22.5 = 0.4 seconds. 

Divide this over the true time value to get prediction,
0.4/22.5 = 0.0177 = 1.77 (Approximately)

Move the decimal point to the right 2 spots to get to 1.773% (Approximately 1.8%).

Hence, The required greatest percent error among the predictions is 1.773% (Approximately 1.8%).

Hope my answer helps you.

:)

Please mark my answer as the BRAINLIEST. Plssssssssssssssssssss

Answer:

Hickory, Delway, Midway, Ridgecrest

Step-by-step explanation:

So this question deals with negative numbers, which are like positive numbers but ordered backwards.  (Example:  -3, -2, -1, 0, 1, 2, 3)  

In that case, the correct order would be -10, -8, -2, 3.  Also known as Hickory, Delway, Midway, Ridgecrest.  

I hope this helped!  :)