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3 years ago

I need help on my math I'm in K12

Mathematics

1 answer:

postnew [5]3 years ago

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Let sin(45°)=0.7071.Enter the angle measure (μ), in degrees for cos(μ)=−0.7071.

Alenkasestr [34]

Given :

Let sin(45°)=0.7071.

To Find :

The angle measure (μ), in degrees for cos(μ)=−0.7071 and value equivalent to 360n + , where n is an integer .

Solution :

We know , value of sin x and cos x is same at x = 45° .

Now , cos (-x) = cos(90°+x)

Therefore , μ in given question is :

μ =90°+45°

μ=135°

So , for angle of type 360°n + :

μ = 360°n + 135° .

Hence , this is the required solution .

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3 years ago

Lindsie is painting on a canvas with dimensions of 3 ft by 4 ft. She wants to make a display model for a gallery that has twice

love history [14]

Answer:

B. 1.4 feet

Step-by-step explanation:

Let, the amount of increase be 'x' ft.

Since, the length and width of the canvas are 4 ft and 3 ft respectively.

Thus, area of the canvas, $A_{c}$ = length × breadth = 4 × 3 = 12 ft²

Since, the area of display model is twice the area of the canvas. We have,

$A_{d}$ = 2 × $A_{c}$

i.e. $A_{d}$ = 2 × 12

i.e. $A_{d}$ = 24 ft².

As, the length and width of the canvas are increased by 'x'.

The, length and width of the display model are (x+4) ft and (x+3) ft.

So, we get,

$A_{c}$ = length × breadth = (x+4) × (x+3) = $x^{2} +7x+12$

Since, $A_{d}$ = 24 ft²

i.e. $x^{2} +7x+12$ = 24

i.e. $x^{2} +7x-12=0$

Solving the quadratic equation, we get,

i.e. x = -8.4 and x= 1.4

Since, the value of x cannot be negative.

Thus, x = 1.4 feet.

4 0

3 years ago

What is a quartic function with only the two real zeroes given?<br><br> x=5 and x=1

Paha777 [63]

The answer is

Y=x^4-6x^3 +6x^2 -6x+5

7 0

3 years ago

Read 2 more answers

Theorem: A line parallel to one side of a triangle divides the other two proportionately.

Svetradugi [14.3K]

In your question which ask for the statement that best fit in your theorem that a parallel line to one side of a triangle divides the other two porportionately which states that segment DE is parallel to segment BC and segment EF is parallel to AB so the answer is BD=15

7 0

4 years ago

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Simplify the following to an expression involving a single<br> trig function with no fractions.

Verizon [17]

Answer

Step-by-step explanation:

cos x

4 0

4 years ago