Find x. Round to the nearest tenth:

Answer:

cos 90°

Step-by-step explanation:

(cos 60°)(cos 30°) − (sin 60°)(sin 30°)

= cos ( 60° + 30°)

= cos 90°

The expression (cos 60°) (cos 30°) − (sin 60°) (sin 30°) is cos 30°.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

(cos 60°)(cos 30°) − (sin 60°)(sin 30°)

We can use the trigonometric identity for the difference of angles between cosines.

cos(x - y) = cos(x)cos(y) - sin(x)sin(y)

By setting x = 60° and y = 30°.

So,

cos(60° - 30°) = (cos 60°)(cos 30°) − (sin 60°)(sin 30°)

cos 30° = (cos 60°) (cos 30°) − (sin 60°) (sin 30°)

Thus,

(cos 60°) (cos 30°) − (sin 60°) (sin 30°) is cos 30°.

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Answer:

D. 1/4

since it is a vertical line x is always 1/4

Answer: 12 ÷ (7-4) + 5 × 3 = 19

Step-by-step explanation:

Answer:

12 ÷ (7-4) + 5 × 3 = 19

Step-by-step explanation:

Answer:

38.5...............

Step-by-step explanation:

(11×7)/2.

An equation to represent the total cost of a job that takes "x" hours is "total cost = $50 + ($150 × x)". The situation can be described as linear.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the cost of consulting is $50, while the cost of labour is $150 per hour.

A.) An equation to represent the total cost of a job that takes "x" hours.

Total cost = $50 + ($150 × x)

B.) Total cost is the labour works for 40 hours,

Total cost = $50 + ($150 × 40) = $6,050

C.) As found above the cost of working 40 hours is $6,050, therefore, the amount of $5,000 will not be enough.

D.) The situation can be described as linear.

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Answer:

7.53

3.5 + 0.02 = 3.52

11 + 0.05 = 11.05

11.05 - 3.52 = 7.53

Answer:

=41

Step-by-step explanation:

X = 4 and y =5

6( [tex]4^{2} - 5[/tex]) - [tex]5^{2}[/tex]

= 6 (16-5) -25

= 6 (11)-25

= 66 -25

=41

Answer:

the probability is 1.01

We expect to get the color green 10 times out of the 80.

The spinner is divided into 8 equal colors, so we can assume that each one of the 8 colors has the same probability of being spun.

This means that if we spin the spinner, the probability of getting the color green is p = 1/8.

So, in 80 tries, we will expect to get the color green a total of:

N = (1/8)*80 = 10

We expect to get the color green 10 times out of the 80.

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Answer:

The correct answer is P(green)=2/8 (80)

Step-by-step explanation:

Daniel’s spinner is divided into 8 equal sections.

A spinner divided into 8 equal sections labeled gray, green, red, purple, gray, green, yellow, blue.

As you can see there are 2 greens so it would be 2/8 since there are 8 pieces and 2 greens out of those 8.

HOPE THIS HELPS!

(I also did this on edge and got it correct)

Answer:

-5 is in the negatives, and 3 is positive, therefore greater than -5 three is greater than -5

Answer:

$3.49

Step-by-step explanation:

If 1 yard = 3 foot

then A 2-yard piece of twine = 6-foot piece of twine.

20.94 per foot is 3.49

as 20.94/3.49.

thus the price per foot is $3.49

The surface area of the pyramid is 96 ft²

The surface area of the square base prism is 552 ft²

The surface area of the cube is 216 ft²

The total surface area is 756 ft²

The surface area of the pyramid = A + 1/2 ps

where

Therefore,

A = 6² = 36 ft²

p = 4(6) = 24 ft

s = √3² + 4² = √9 + 16 = √25 = 5 ft

Hence,

The surface area of the pyramid = 36 + 1 / 2 × 24 × 5 = 96 ft²

The surface area of the square base prism = 2a² + 4ah

where

Therefore,

The surface area of the square base prism = 2(6)² + 4(6)(20) = 72 + 480 = 552 ft²

The surface area of the cube  = 6l² = 6 × 6² = 6 × 36 = 216 ft²

Total surface area = 96 + 552 + 216 = 864 - 36  - 36 - 36 = 756 ft²

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Answer: 1 . Is 96 square feet

2 . is 552 square feet

3 . 216 square feet

4 . 756 square feet

Step-by-step explanation:

Using the binomial distribution, it is found that the desired values are given as follows:

a) 4.8 jurors.

b) The proportion is of 0.25.

c) 0.2254 = 22.54% probability.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, we have that:

Item a:

The expected value of the binomial distribution is given by:

E(X) = np

Hence:

E(X) = 12 x 0.4 = 4.8 jurors.

Item b:

The proportion of 3 out of 12 is 3/12 = 1/4 = 0.25.

Item c:

The probability is given by:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{12,0}.(0.4)^{0}.(0.6)^{12} = 0.0022[/tex]

[tex]P(X = 1) = C_{12,1}.(0.4)^{1}.(0.6)^{11} = 0.0174[/tex]

[tex]P(X = 2) = C_{12,2}.(0.4)^{2}.(0.6)^{10} = 0.0639[/tex]

[tex]P(X = 3) = C_{12,3}.(0.4)^{3}.(0.6)^{9} = 0.1419[/tex]

Then:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0022 + 0.0174 + 0.0639 + 0.1419 = 0.2254[/tex]

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The area of the shaded region is 75.5cm^2.

The radius of the inner circle=10cm

The radius of the outer circle=14cm

angle made by sector is 90 degrees.

[tex]A=\frac{\theta}{360}\times \pi r^2[/tex]

For an outer sector

[tex]Area of the sector=\frac{90}{360} \times \frac{22}{7} \times 14^2[/tex]

area of the sector=154cm^2

Now we have to find the area of the sector for the inner circle.

[tex]Area of the sector=\frac{90}{360} \times \frac{22}{7} \times 10^2[/tex]

Area of sector=78.5cm^2

Area of the shaded region =area outer sector - area of inner sector

Area of the shaded region=154-78.5.

Area of the shaded region75.5cm^2.

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A,D and E are not polynomials.

Step-by-step explanation:

Well you see my friend, that's how things work.

A polynomial does not have the variable in the denominator.

Using scientific notation, it is found that the number in standard notation is represented by:

[tex]74.94 \times 10^3 = 74940[/tex]

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

In this problem, the number is given by:

[tex]74.94 \times 10^3[/tex]

Hence, applying the multiplication, we have that:

[tex]74.94 \times 10^3 = 74.94 \times 1000 = 74940[/tex]

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Answer:

  y = 15x

Step-by-step explanation:

The equation for direct variation is ...

  y = kx

where k is the constant of proportionality.

__

We can find k by dividing by x:

  y/x = k

Using the given values, we find it to be ...

  75/5 = k = 15

Using this value of k in the equation, we find the equation of direct variation is ...

  y = 15x

Answer:

56

Step-by-step explanation:

We know that every triangle no matter will equal 180 degrees. So we will make an algebreic expression.

2x+8+60=180

When doing algebreic expression we want to simply as much as possible to find our answer. First we will do 60-180. Since the expression is adding 60 we want to do the opposite and subtract is by 60 on both sides. SO now we have 2x+8=120. We do the same thing with 8. Subtract it on  both sides since its adding in the expression. Now we have 2x=112. FInally, we will divide by two on both sides since its multiplying on the other side of the equation. So now we are left with x=56.

a. The cost of the stock is $19

b.  Tanya Elliot paid total amount of $ 7629.95.

The cost of preferred stock to a company is effectively the price it pays in return for the income it gets from issuing and selling the stock.

a. It is given that , each share= $19.00

Total number of shares = 400

Price for 400 shares be,

= 400 x $19.00

= $7600.00

Cost of the stock= [tex]\frac{ 7600}{400}[/tex]

                            = $19

b. Total paid by Tanya = $7600.00 +$29.95

                                      = $7629.95

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Answer:

(1, 0 ) and (3, 6 )

Step-by-step explanation:

we are looking in the table for values of x that give both f(x) and g(x) the same value.

x = 1 → f(x) = g(x) = 0

x = 3 → f(x) = g(x) = 6

then the solutions to f(x) = g(x) are

(1, 0 ) and (3, 6 )

Answer:

1

3

Step-by-step explanation:

According to the table :

f(1) = 0 = g(1) ⇒ 1 is a solution to the equation f(x) = g(x)

f(3) = 6 = g(3) ⇒ 3 is a solution to the equation f(x) = g(x)

Answer:

188

Step-by-step explanation:

I found and fixed my mistake sorry

Answer:

C . The sun

plants absorb light which make carbohydrates which makes a part of bodies of animals and plants . When they die this compound in their bodies which later became coal

Answer:

$1,923.08.

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

P = 2500 / ( 1 + (0.06 × 5)) = 1923.0769230769

P = $1,923.08

The principal investment required to get a total amount, principal plus interest, of $2,500.00 from simple interest at a rate of 6% per year for 5 years is $1,923.08.

Answer: Zeroes: 2.5 and 9.5   Vertex: (6, 12.25)

Step-by-step explanation:

:) Done on khan

Answer:

8/5x

Step-by-step explanation:

it's (-4,-4) and (1,4) so you subtract the y's getting 8. then you subtract the x's getting 5. y/x is the rule so you would get 8/5 or 8/5x as the slope/distance between points.

solve by inspection

[tex]x^2+7x+12\\\\(x+4)(x+3)[/tex]

[tex]x+4=0\\\\x=-4[/tex]

[tex]x+3=0\\\\x=-3[/tex]

The zeros of the function are -4 and -3.