Solve : Sin 2theta-cos3theta=0​

Answer:

Area of the rectangular trench = 1 square meter

Step-by-step explanation:

length of the garden = 2 1/2 m width of the garden = 2 m

length of both garden and trench = 3 1/2 m

width of both garden and trench = 3m

Length of the trench = Difference in length

= 3 1/2 m - 2 1/2 m

= 7/2 - 5/2

= (7 - 5) / 2

= 2/2

= 1 m

Length of the trench = 1 m

Width of the trench = difference in width

= 3 m - 2 m

= 1 m

Width of the trench = 1 m

Area of the rectangular trench = length × width

= 1 m × 1 m

= 1 m²

Or

1 square meter

Area of the rectangular trench = 1 square meter

Answer:

5

Step-by-step explanation:

the absolute value of a number is its distance from zero on a number line. so the absolute value of 5 is 5.

Answer:

Step-by-step explanation:

For this question they are asking you to find y when x is {2, 4, and 6}

That means you need to plug 2,4, and 6 into the equation and solve.

For example:

f(x) = 5x - 4

f(2) = 5(2) - 4

f(2) = 10 - 4

f(2) = 6

f(x) = 5x - 4

f(4) = 5(4) -4

f(4) = 20 - 4

f(4) = 16

f(x) = 5x - 4

f(6) = 5(6) - 4

f(6) = 30 - 4

f(6) = 26

Answer:

6,16,26 is the answer

Step-by-step explanation:

Answer:

The system has one solution,

Both lines have the same y-intercept,

The solution is the intersection of the 2 lines.

Step-by-step explanation:

Answer:

x = 13.75

Step-by-step explanation:

a right-angled triangle.

so, we use Pythagoras

c² = a² + b²

where c is the Hypotenuse (the side opposite of the 90 degree angle).

so, in our case

17² = 10² + x²

289 = 100 + x²

189 = x²

x = 13.75

Let n be the smallest of the three numbers. Then

n + (n + 1) + (n + 2) = 5 ((n + 1) - 22)

Solve for n :

3n + 3 = 5 (n - 21)

3n + 3 = 5n - 105

2n = 108

n = 54

Then the three numbers are 54, 55, and 56.

Answer:

8/15

Step-by-step explanation:

Since this is a right triangle

tan C = opp side / adjacent side

tan C = 8/15

Answer:

9999 is the largest 4-digit number and can be expressed as 3 × 3 × 11 × 101.

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

I get no solution also (the answer is imaginary).

Answer: A

Step-by-step explanation:

(22)(21)=(14)(33)

s(x) is continuous and has a horizontal asymptote at y = -9

We know that we have a function r(x) that has a horizontal asymptote at y = -8

Then, what can we say about the function s(x) = r(x + 2) - 1 ?

Ok, first remember that a horizontal asymptote means that as x, the variable, increases (or decreases), the function eventually tends to a given value, but never actually reaches it.

So as x tends to infinity, we should see an almost horizontal line that tends to y = -8.

So if that happens when x tends to infinity, the same thing will happen when x + 2 tends to infinity, because that "+2" does not add a lot.

Then is easy to conclude that:

r(x + 2) also has a horizontal asymptote at y = -8

And our function is:

s(x) = r(x + 2) - 1

So we are subtracting one, then that horizontal asymptote will be at:

y = -8 - 1 = -9

The function s(x) has a horizontal asymptote at y = -9

And because r(x) is continuous, then:

s(x) = r(x + 2) - 1

is also continuos, as there is nothing added that could change the continuity (we do not have any zero in the denominator or something like that)

Then the correct option is D.

"s(x) is continuous and has a horizontal asymptote at y = -9"

If you want to read more, you can see:

https://brainly.com/question/4084552

Answer:

- 0.25

Step-by-step explanation:

Sine -1/4 is a fraction, you can think of it as quarters in this case. there are 4 quarters in a dollar. 1/4 = 25/100.  

Answer:

f(x) = 3.33x - 7

Step-by-step explanation:

We are suppposed to write the slope intercept form of the line . The slope intercept form of the line is ,

[tex]\rm\implies y = mx + c [/tex]

where ,

Here we can see that the line is passing through (0,-7) . Therefore ,

[tex]\rm\implies y- intercept = -7[/tex]

Also we can see that the line is passing through (2.1,0) . Therefore we can find the slope as ,

[tex]\rm\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\rm\implies Slope =\dfrac{ -7-0}{0-2.1}\\\\\rm\implies \bf Slope = 3.33 [/tex]

Using Slope Intercept Form :-

[tex]\rm\implies y = mx + c \\\\\rm\implies y = 3.33x + (-7) \\\\\rm\implies\underline{\boxed{\rm\blue{f(x) = 3.33x - 7 }}}[/tex]

Answer:

1/12

Step-by-step explanation:

Answer:

1st,2nd,3rd, and 5th option

Step-by-step explanation:

Let convert the intergers into radical numbers

[tex] \sqrt{7} > \sqrt{4} [/tex]

[tex] \sqrt{7} < \sqrt{49} [/tex]

[tex] \sqrt{7} < \sqrt{8} [/tex]

[tex] \sqrt{8 } < \sqrt{4} [/tex]

[tex] \sqrt{8} < \sqrt{64} [/tex]

As radical numbers approaches, positive infinity, the answer of the radical gets bigger. So using this explanation,

The first option, Second Option, Third Option, and Fifth Option are true.

Answer:

A, B, C, E

Step-by-step explanation:

Did on edg.  its right

Answer:

12 miles

Step-by-step explanation:

1/3 of an hour = 20 minutes = 4 miles

1 minute = 4/20 miles

60 minutes = 4/20 x 60 miles

                   = 4 x 3 miles

                   = 12 miles

60 minutes = 1 hour

=> 1 hour = 12 miles

Jacks unit rate is 12 miles/hr

Answer:

12

Step-by-step explanation:

There are two ways of doing this problem. I think the easiest way is to use a decimal in the denominator and round

4/0.333333333 = 12.000000001

The answer is obviously meant to be 12.

The other way is more sophisticated, but more accurate.

4/1 // 1/3               This is a 4 tier fraction. The rule is to invert the denominator (turn the bottom fraction upside down) and multiply.

4/1 * 3/1 = 12

The first method is easier to understand. The second is more accurate and more useful for physics.

Answer:

[tex]\huge\boxed{s=17}[/tex]

Step-by-step explanation:

ΔADB is the right triangle with a right angle in vertex B. We can use the Pythagorean theorem.

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have:

[tex]leg=15\\leg=8\\hypotenuse=s[/tex]

Substitute:

[tex]s^2=15^2+8^2\\\\s^2=225+64\\\\s^2=289\Rightarrow s=\sqrt{289}\\\\s=17[/tex]

Answer:

I'm assuming that "why" is not part of this problem so this too is not answerable

Answer:

6x+6y-5 distributive property

Step-by-step explanation:

6(x+y)-5

Distribute using the distributive property

6x+6y-5

Answer:

-7/5

Step-by-step explanation:

I think let me know

Answer:

7/-5  or -7/5

Step-by-step explanation:

This shall be quite an easy problem, I shall be doubting that this is high school, however, I am happy to aid :)

We shall begin by labeling the points given to us to prepare for inputting the values in the slope formula

(3,4).     (8,-3)

x1,y1     x2,y2

Slope Formula:

y1 - y2

x1 - x2

Inputting the values:

4 - (-3)

3 - 8

Solve:

7

-5

The slope of the line passing through the points (3,4) and (8,-3) shall be 7/-5 or -7/5 negatives shall go both ways of fractions

Answer:

Amount cubic metres of gravel need = 1.5 cubic meter

Step-by-step explanation:

Given:

Parts

cement = 1 part

sand = 2 parts

gravel = 3 parts

Find:

Amount cubic metres of gravel need

Computation:

Amount cubic metres of gravel need = 3[Part of gravel / Total of all parts]

Amount cubic metres of gravel need = 3[3 / (1+2+3)]

Amount cubic metres of gravel need = 3[3 / 6]

Amount cubic metres of gravel need = 3[0.5]

Amount cubic metres of gravel need = 1.5 cubic meter

Answer:

g(2)=1

Step-by-step explanation:

We need to use the second definition of the function since x=2

g(2) = 2^3 -9(2)^2 +27(2) -25

      = 8-9(4) +54 -25

     = 8-36+54-25

     = 1

Answer:

Zoe was 32 years old, which was 4 years ago.

Step-by-step explanation:

When Zoe was 36 years old, her daughter was 1/3 her age, or 12 years old. Therefore, the difference in ages is 24 years.

So, our equation becomes:

4(Z-24) = Z

4Z - 96 = Z

3Z = 96

Z = 32

Assuming Zoe is 36 years old right now, our answer is 4 years ago.

Hope this helped,

~cloud

Since the daughter is 1/3 Zoe's age, she must be 12 since 1/3 of 36 is 12.

Then make a chart like I have done in the image attached.

Since the problem says "how many years ago", we use

our x years ago column in our chart to setup the equation.

If you need any additional help or are confused on a step, let me know!

Hi there!

[tex]\large\boxed{4x - 2}[/tex]

7x - (3x + 2)

Simplify by distributing the negative sign:

7x - (3x) - (2)

Combine like terms:

4x - 2

Answer:

2(2x - 1)

Step-by-step explanation:

opening the parenthesis and distributing the - sign to both 3x and 2

= 7x - 3x - 2

= 4x - 2

taking 2 common

= 2 (2x - 1)

Answer:

The 2nd one is 3x+1

The 3rd answer is x+3

Step-by-step explanation:

Given g(x)=4x-1 and f(x)=x-2

Subtracting both

4x-1-(x-2)=4x-1-x+2=x(4-1)+(2-1)=3x+1

The next one is 3x+1-(2x-2)=3x+1-2x+2=x+3

Answer:

false

Step-by-step explanation:

If it was at least 2, it would show x>= 2 which includes 2. However, that question doesn't include 2 so if it is true, it would have said "X is greater than 2"

Answer: False

Step-by-step explanation:  When x is at least 2, x would be greater than or equal to 2.  X cannot be less than 2.  So, it should be x >= 2.

Hope this helped.

Answer:

Step-by-step explanation:

the answer is a)

Answer:

1.98*1/8=0.2475

0.2475=0.25