solve the following system by elimination

4x-4y=-12
12z-6y=-6

Answer: 68

Step-by-step explanation:

Answer: 2sqrt(5)

Step-by-step explanation:

The destructive interference formula for diffraction grating problems is [tex]d\ sin(\theta) = (n+\dfrac{1}{2} )\lambda[/tex].

When the maxima of two waves are 180 degrees out of phase, destructive interference occurs: a positive displacement of one wave is cancelled exactly by a negative displacement of the other wave. The resultant wave has zero amplitude.

In a diffraction grating, the formula for brighter patches arising from constructive interference and darker patches arising from destructive interference is:

[tex]d\ sin(\theta) = n\lambda[/tex]

Here, d is the grating spacing, θ is the angle of light, n represents the fringe order, and w denotes the wavelength.

The value of N can only be integers values.

Now, Because destructive interference occurs between the fringes, the destructive interference formula is

[tex]d\ sin(\theta) = (n+\dfrac{1}{2} )\lambda[/tex]

where n is again an integer.

Hence, the destructive interference formula for diffraction grating problems is [tex]d\ sin(\theta) = (n+\dfrac{1}{2} )\lambda[/tex].

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Answer:

y=30

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

im right

Answer:

262.625 square inches

Step-by-step explanation:

10 x 15.5 = 155

10.25 x 10.5 = 107.625

add together = 262.625

Answer:

Kim's checking account has $396.76 left.

Step-by-step explanation:

Kim had $472.15 in her checking account. She deposited $188.50 and wrote a check for $263.89. How much is in Kim's checking account now?

Answer:

12 in.

Step-by-step explanation:

2x + x + 3/2x + 1/2x = 40 in. = 5x

x = 8 in.

3(8)/2 = 12

Answer:

It will take 7 days for the farmer to ploughs his land in 3 days.

Step-by-step explanation:

12÷5=2.4

2.4×3=7.2

so if you want to round it it is =7

Answer:

  105°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the arc it subtends. For an arc of 210°, an inscribed angle that subtends it will have a measure of 105°.

We normally think of the sides of an inscribed angle as being a chord. However, that chord can be considered part of a secant. When the two points of intersection with the circle get arbitrarily close together, the chord becomes a point, and the secant becomes a tangent.

That is, the angle made by this geometry is simply a degenerate case of an inscribed angle. The relationship with the arc measure is unchanged.

  m∠1 = 105°

Answer:

above is the solution to the question

Answer:

299.99801 mph

Step-by-step explanation:

Average speed = Total distance/ Total time
= 2414(km)/5

=482.8 km/h

=299.99801 mph

Solution:

1. Finding the product of the base of the rectangular prism

2. Writing the expression for the volume of the prism

Area of base

Volume:-.

Answer:

x=17

Step-by-step explanation:

okay maybe this??

5x+5=90

subtract 5 from both sides

5x=85

divide by 5 for both sides

x=17

Answer:

Step-by-step explanation:

The scale number can be interpreted as (1cm/3,000,000 km), a conversion factor.  Since it is a conversion factor, we can invert it to the form:

(3,000,000 km/1cm)

A measure of 12cm on the map would correspond to:

(12cm)*((3,000,000 km/1cm) = 42,000,000 km

Wow - a long trek, if you need water.

Note that inverting the conversion factor isn't totally necessary, since we could use the original form and divide:  

    12 cm/(1cm/(3,000,000km)) = 42,000,000 km

But I dislike division, so I always invert a conversion factor if it makes the calculation more convenient, for me.

Answer:

1/4 that's left over because if your take away 1/2 out of 2/6 it = to 1/4

Answer:

1/4 is what's left over because if you take away 2/6-1/2 = to 1/4

Step-by-step explanation:

Answer:

C. 180-degree rotation counterclockwise followed by a translation of 5 units to the left

Step-by-step explanation:

Answer:

180° counterclockwise rotation about the origin followed by a translation 5units left

Step-by-step explanation:

Rule for 180° counterclockwise rotation is

Take any point to prove

let it be A

Rotate

Translate 5 units left(change in x)

Yes verified

Answer:

Step-by-step explanation:

It takes 8 feet to wrap the small box and 12 feet to wrap the large box

Step-by-step explanation:

The cheerleaders from Campo high school are doing a gift wrapping fundraiser at a clothing store

   Yesterday, they wrapped 36 small clothing boxes and 25 large clothing boxes, using a total of 588 feet of wrapping paper

   The day before, they wrap 27 small clothing boxes and 29 large clothing boxes, using a total of 564 feet of gift wrap

We need to find how much paper it takes to wrap each size of box

Assume that they need x feet to wrap a small box and y feet to wrap a large box

∵ The small box is wrapped by x feet

∵ The large box is wrapped by y feet

∵ They wrapped 36 small clothing boxes and 25 large clothing

  boxes, using a total of 588 feet

∴ 36x + 25y = 588 ⇒ (1)

∵ They wrapped 27 small clothing boxes and 29 large clothing

  boxes, using a total of 564 feet

∴ 27x + 29y = 564 ⇒(2)

Now we have a system of equation to solve it

Multiply equation (1) by -3 and equation (2) by 4 to eliminate x

∵ -108x - 75y = -1764 ⇒ (3)

∵ 108x + 116y = 2256 ⇒ (4)

- Add equations (3) and (4)

∴ 41y = 492

- Divide both sides by 41

∴ y = 12

- Substitute the value of y in equation (1) or (2)

∵ 27x + 29(12) = 564

∴ 27x + 348 = 564

- Subtract 348 from both sides

∴ 27x = 216

- Divide both sides by 27

∴ x = 8

It takes 8 feet to wrap the small box and 12 feet to wrap the large box

Answer:

  a) 120°

  b) 16√3 ≈ 27.7 cm²

Step-by-step explanation:

Each exterior angle of a regular polygon measures 360° divided by the number of sides. For a hexagon, the exterior angle is 360°/6 = 60°. That means the adjacent interior angle is 180°-60° = 120°.

Angle ABC measures 120°.

__

The area of triangle ABC can be found using the formula ...

  A = 1/2ab·sin(C) . . . . area of triangle with sides a, b, and angle C between them

  A = 1/2(8 cm)(8 cm)sin(120°) = (32 cm²)(√3/2) = 16√3 cm²

The area of the triangle is 16√3 cm² ≈ 27.7 cm².

Answer:

∠ABC = 120°

ΔABC = 16√3 cm²

Step-by-step explanation:

Part (a)

Sum of interior angles of a regular polygon = (n - 2) × 180°
(where n is the number of sides)

⇒ Sum of interior angles of a regular hexagon = (6 - 2) × 180° = 720°

All the interior angles in a regular polygon are equal.

⇒ Interior angle = sum of interior angles ÷ number of sides

⇒ ∠ABC = 720° ÷ 6

⇒ ∠ABC = 120°

------------------------------------------------------------------------

Part (b)

Use the sine rule for area of a triangle:  

[tex]\dfrac12ab \sin(C)[/tex]

(where a and b are the sides and C is the included angle)

Given:

Substituting values into the formula:

[tex]\implies \dfrac12\cdot 8 \cdot 8 \sin(120)=16\sqrt{3} \ \sf cm^2[/tex]

Answer:

1. 75

[tex] \frac{75 }{1} \times \ \frac{120}{100} = 15 \times 6 \\ \\ = 90[/tex]

2.

[tex] \frac{20}{1} \times \frac{50}{100 } \\ = 10[/tex]

3.

[tex] \frac{25}{100} \times \frac{90}{1} \\ = 22.5[/tex]

4.

[tex] \frac{20}{1} \times \frac{200}{100} \\ = 40[/tex]

5.

[tex] \frac{35}{1} \times \frac{50}{100} \\ = 17.5[/tex]

6.

[tex] \frac{17}{1} \times \frac{65}{100} \\ = 11.05[/tex]

Hope I'm right

Answer:

the first option

Step-by-step explanation:

when exponents are multiplied together, they add their values together.

example: y^2 x y^3 = y^5

written out: y x y x y x y x y = y^5

Answer:A

Step-by-step explanation:

Answer:

7x+y=-3

Step-by-step explanation:

y-4=-7(x+1)

y-4=-7x-7

y=-7x-7+4

y=-7x-3

-7x-y=3

7x+y=-3

Answer:

y = [tex]\frac{13x}{10-8x}[/tex]

Step-by-step explanation:

15x + 10y = 8xy + 28x ( subtract 15x from both sides )

10y = 8xy + 13x ( subtract 8xy from both sides )

10y - 8xy = 13x ← factor out y from each term on the left side

y(10 - 8x) = 13x ← divide both sides by (10 - 8x)

y = [tex]\frac{13x}{10-8x}[/tex]

Answer:

y = 13x/10-8x

Step-by-step explanation:

15x + 10y = 8xy + 28x

10y = 8xy + 13x

10y - 8xy = 13x

y(10 - 8x) = 13x

y = 13x/10-8x

Answer:

3.

Step-by-step explanation:

The y axis is vertical, and the origin is (0, 0). Therefore, since 3 is the y, the vertical distance is 3 and the horizontal, if you need it, is 6.

Answer:

Part A:
$12 x 1

Part B: $64.80

tep-by-step explanation:

Answer:

14

Step-by-step explanation:

7 × 2 = 14

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14 omelettes can Kevin make using exactly one of each item.

Multiplication, one of the four basic operations of arithmetic, gives the result of combining groups of equal sizes.

According to the question

Kevin is making an omelette

Types of meat = 7

Types of cheese = 2

Based on the conditions

Number of different omelettes can Kevin make using exactly one of each item = 7 × 2

= 14

Hence, 14 omelettes can Kevin make using exactly one of each item.

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Answer: 22.4 ft

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

using the cosine ratio in the right triangle

cos ABC = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex] , then

∠ ABC = [tex]cos^{-1}[/tex] ( [tex]\frac{1}{3}[/tex] ) ≈ 70.53° ( to 2 dec. places )