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Hello I Really need this answered

notsponge [240]

Answer:

α = 143.13⁰

Step-by-step explanation:

Given;

$Sin \ \alpha = \frac{3}{5} \ \ , \frac{\pi}{2}$

α is determined as follows;

⇒find the arcsine of ³/₅

$\alpha = sin^{-1}(\frac{3}{5} )\\\\\alpha = sin^{-1}(0.6)\\\\\alpha = 36.87 ^0 = 180^0 - 36.87^0 = 143.13^0$

$Thus, \frac{\pi}{2} < 143.13^0$

Therefore, the value of α that satisfies the given range value is 143.13⁰

3 0

3 years ago

10. If PQRS is a parallelogram, then P - R is:<br>(a) 20<br>(b) 30<br>(c) 90<br>(d) 0

statuscvo [17]

Answer:

d) 0

Step-by-step explanation:

P -R = 0

Because in parallelogram, opposite angles are equal.

4 0

3 years ago

Find soluton to x^2-14x+49=25

Artyom0805 [142]

$\boxed{x=12 \ and \ x=2}$

<h2>Explanation:</h2>

In this exercise, we have the following equation:

$x^2-14x+49=25$

We can write this Quadratic Equation in Standard Form as follows:

$x^2-14x+49=25 \\ \\ Subtract \ 25 \ from \ both \ sides: \\ \\ x^2-14x+49-25=25-25 \\ \\ x^2-14x+24=0 \\ \\$

So this is a Non-perfect Square Trinomial. To factor out this, let's choose two numbers such that:

The sum is -14
The product is 24

Those numbers are:

-12 and -2
SUM: -12-2 = -14
PRODUCT: (-12)(-2)=24

So we can write this as:

$x^2 + (a + b)x + ab=(x + a)(x + b) \\ \\ a=-12 \\ b=-2 \\ \\ x^2-14x+24=(x-12)(x-2)=0 \\ \\ So \ the \ solutions \ are: \\ \\ \boxed{x=12 \ and \ x=2}$

<h2>Learn more:</h2>

Quadratic Ffrmua: brainly.com/question/10188317

#LearnWithBrainly

6 0

3 years ago

Toby's Tiny Toys have fixed expenses of $53,900 for the production of their tiny toys. Toby's has a variable expense of $12.50 a

ipn [44]

The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let $x$ be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be $12.50x$ . From this information we can gather that the cost function for this factory is,

$C(x)=53\,900+12.50x.$

On the other hand, if we let $x$ be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,

$R(x)=16.50x.$

Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that

$R(x)=C(x)\\\implies 16.50x=12.50x+53\,900\\\implies 16.50x-12.50x=53\,900\\\implies 4x=53\,900\\\implies x=\frac{53\,900}{4} \\\implies x=134\,750.$

The company has to sell 134 750 units to break even.

6 0

4 years ago

Help neeed help please

anyanavicka [17]

reflection and translation.

Given:

The different transformation in the options.

To find:

The transformation that would result in the perimeter of a triangle being different from the perimeter of its image.

Solution:

In option 1,

$(x,y)\to (y,x)$

It represents reflection across the line y=x.

In option 2,

$(x,y)\to (x,-y)$

It represents reflection across the x-axis.

In option 3,

$(x,y)\to (4x,4y)$

It represents dilation by scale factor 4 and the center of dilation is at origin.

In option 4,

$(x,y)\to (x+2,y-5)$

It represents translation 2 units right and 5 units down.

We know that the reflection and translation are rigid transformations, It means the size and shape of the figure remains the same after transformation.

So, the perimeter of the figure and its image are same in the case of reflection and translation.

But dilation is not a rigid transformation. In dilation, the figure is similar to its image. So, the perimeter of the figure and its image are different in the case of dilation.

Therefore, the correct option is 3.

8 0

3 years ago