In a right triangle, Sin (4x + 10) º = Cos (6x) º. What is the value of x?

Answer: {±2√3}

Step-by-step explanation: Since only one term contains an x in this problem, we can simply get the x by itself by dividing both sides by 5 and then square rooting both sides to get x = ±√12

Remember to use plus or minus when

square rooting both sides of an equation.

Now, √12 breaks down to 2√3 so our

final answer is {±2√3}.

If the variable only appears in one of the terms in the equation,

you can solve it by simply isolating the variable.

Step-by-step explanation:

$ 28.50

minus $ 0.00

FINAL Price » $ 28.50

Note: Sales Tax Not Included

Savings » $ 9.50

Effective % Off » 25%

Answer:

$28.5

Step-by-step explanation:

100% - 25% = 75% (so you don't have to add or subtract anything)

38 * .75 = 28.5

=$28.5

Answer:

a. h = -2t + 29

b. 14.5 inches (not sure)

c. 5 1/2 minutes

d. The domain means the amount of time elapsed.

e. The value of h means the height of the water left

Step-by-step explanation:

Answer:

Step by step explaination:

Function A:

When x=5, y=17

x=4, y= 17-4=13

So x=3,y=13-4=9

and then,

x=2, y= 9-4=5.

Function B:

When x=2, y= 2.

Therefore, when x=2 then Function A is greater than Function B.

Answer:

The smallest increment is 10 V and the uncertainty is 5 V.

Note: Consider we need to find the value of M if [tex]0^\circ<M<90^\circ[/tex]

Given:

In a right triangle ABC,

[tex]\sin M=\cos 61^\circ[/tex]

To find:

The value of M.

Solution:

We have,

[tex]\sin M=\cos 61^\circ[/tex]

It can be rewritten as:

[tex]\sin M=\cos (90^\circ-29)^\circ[/tex]

[tex]\sin M=\sin 29^\circ[/tex]                   [tex][\because \sin (90^\circ-\theta)=\sin \theta][/tex]

On comparing both sides, we get

[tex]M=29^\circ[/tex]

Therefore, the value of M is 29 degrees.

Answer:

Step-by-step explanation:

Answer:

$72.00

Step-by-step explanation:

Amount of discounted money

= 10/100 x $80.00

= $8

Amount he will pay

= $80.00 - $8.00

= $72.00

The roots of a graph are also known as the x-intercepts. If you use a graphing tool to graph the given equation you will be able to see the x- intercepts. For the answer the question is asking what the x cordinates of the x intercepts are. I think the answer is (0,2,-2) but im not sure so you should check my work.

Answer:

Step-by-step explanation:

The inequality x ≥ -2 is graphed on a number line.  -2 is the smallest possible value.  All subsequent values are larger and therefore lie to the right of -2.

Thus, the following are true:

1.  The ray will move to the right (because x begins at -2 and increases, which means moving to the right on the number line).

2.  It will use a closed circle (because x = -2 is part of the solution set).

Answer: The ray will move to the right and it will be a closed circle.

a³ + b³ + c³ + 3abc = ( a + b + c)(a² + b² + c² + ab + bc + ca)

if a + b + c = 0. then a³ + b³ + c³ = 3abc

here a + b + c = 15 + (-9) + (-6)

a + b + c = 15 - 15

a + b + c = 0

so a³ + b³ + c³ = 3abc

15³ + (-9)³ + (-6)³ = 3(15)(-9)(-6)

= 2430

so the answer is 2430

Answer:

a

Step-by-step explanation:

I think so..

Answer:Its the last one to the left up

Step-by-step explanation:

Answer:

The least value is 7.079 because it is in the thousandths place.

Answer:

4 cm per hour that's the answer

Answer:

The slope is -7

Step-by-step explanation:

[tex]y = mx + c[/tex]

The [tex]m[/tex] indicates the slope/gradient of a graph

Answer:

m = -7

Step-by-step explanation:

y = -7x is a typical slope-intercept equation of a straight line.  Comparing it to

y = mx + b, we see that the slope, m, is -7 and the y-intercept, b, is 0.

Answer:

6 ft

Step-by-step explanation:

Side = √area = √36 = 6 ft (we have to find a positive number that multiply by itself gives 36

Answer:

3/25

Step-by-step explanation:

Answer:

=325

Showing Work:

12%=12100

=0.12

=0.121×100100

=12100

=325

Answer:

[tex]\text{Domain: }\{-6, -3, -1, 5\}\\\text{Range: }\{-4, 0, 2, 5\}[/tex]

Step-by-step explanation:

The domain of a function represents the range of x-values that the function has. The range of a function represents the range of y-values that the function has.

Coordinates are written as (x, y). Thus, the domain of these ordered pairs include the x-values of each ordered pair. Similarly, the range of these ordered pairs include the y-values of each ordered pair. Therefore, we have:

[tex]\text{Domain: }\{-6, -3, -1, 5\}\\\text{Range: }\{-4, 0, 2, 5\}[/tex]

Answer:

6 sides

Step-by-step explanation:

The interior angle and the exterior angle sum to 180° , then

exterior angle = 180° - 120° = 60°

The sum of the exterior angles of a polygon is 360° , so

number of sides = 360° ÷ 60 = 6

Answer:

6 sides

Step-by-step explanation:

180 - 120 =60°

sum of exterior angles is 360°

therefore , 360°/60°

ans = 6 sides

Good luck :-)

Answer:

x = -4

Step-by-step explanation:

to find the axis of symmetry use this formula:

x = -b/2a

if this problem, a = 1, b = 8, c = 16

x = -8/2(1)

x = -4

Answer

“The LCM of three numbers is 360“ The prime factors of 360 are 2³×3²×5¹. That means:

At least one of the numbers contains 2³ in its factorization list.

At least one of the numbers contains 3² in its factorization list.

At least one of the numbers contains 5 in its factorization list.

“One of the numbers is 40“ The factorization list of 40 is 2³×5, so 1) and 3) are satisfied.

“The GCD of the same numbers is 2“ This implies that all 3 numbers are even, and that at least one number only has one 2.

The candidates for the 2nd number, that has 3², are: 18, 12, 72 (3²×2³), 120, 180, or 360.

The candidates for the 3rd number depends on how many 2s the 2nd number has.

If more than one: 2, 6, 18, 10, 30, 90

If only 1, those plus 4, 8, 12, 36, 72, 20, 40, 120, 180, 360

Answer:

Step-by-step explanation:

You probably need to make your own version cause mine is super messy but here

Answer:

40.1

Step-by-step explanation:

i just did it and got it right

Answer:

Mean = 29

Step-by-step explanation:

Given that,

The numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25, and 27.

We need to find the mean of the cupcakes for a week.

We know that,

Mean = (sum of observations)/(no. of observations)

[tex]\text{Mean}=\dfrac{23+25+32+35+36+25+27}{7}\\\\=29[/tex]

So, the mean of cupcakes is 29.

Answer:

Let's define East as the positive x-axis and North as the positive y-axis.

If Michelle's initial position is (0, 0)m

We know that Nathasha is 50m due East of Michelle.

Then the position of Natasha is (50, 0)m

Now we know that Natasha walks 20m due North, then the new position of her's is:

(50, 0 + 20)m = (50, 20)m

While Michelle walks 10m due South (South would be the negative y-axis, then we subtract 10 meters)

Michelle's new position will be:

(0, 0 - 10)m = (0, -10)m

Now we want to know the distance and bearing of Michelle from Natasha.

First, remember that the distance between two points (a, b) and (c, d) is given by:

Distance = √( (a - c)^2 + (b - d)^2)

Then the distance between Michelle and Natasha is:

Distance = √( (50m - 0m)^2 + (20m - (-10m))^2)

Distance = √( (50m)^2 + (30m)^2) = 58.31m

Now to find the bearing you can see the image below:

Point B is Michelle's position and point A is Natasha's position.

To find the bearing, we can make a triangle rectangle as the one shown in the image:

Also remember the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus).

Where the opposite cathetus is the difference between the x-values of each position, this is:

opposite cathetus = 50m - 0m = 50m

And the adjacent cathetus is the difference between the y-values, this is:

adjacent cathetus = 20m - (-10m) = 30m

Then:

Tan(a) = 50m/30m

Tan(a) = 5/3

Now if we apply the inverse Tan function to both sides, Atan(x) we get:

Atan(Tan(a)) = Atan(5/3)

a = Atan(5/3) = 59°

So the bearing is of 59°.

Answer:

Step-by-step explanation:

(4x+ 15)° + 11x° = 180° ( linear pair )

4x + 15 +11x = 180

15 x + 15 = 180

15x = 180-15

15x= 165

x= 165/15

x= 11