Prove the following relations:
1) (1 - cos²A) (1 + tan²A) = tan²A​

Answer:  1914 sq. ft

Step-by-step explanation:

area of circle= pi x radius squared

       =3.14 x 10^2

       =3.14x100

      =314

area triangle= 1/2 base x height

           =1/2(20x60)

           = 1/2(1200)

           = 600

area of rectangle= length x width

                 =50 x 20

                  = 1000

add the totals  1000 + 600 + 314=1914 sq. ft.

Answer:

23 ft

Step-by-step explanation:

94 - 71 = 23 feet

Answer:

I think it’s 7.8 repeating

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

[tex]122+154i[/tex], D

Step-by-step explanation:

[tex]\mathrm{Apply\:complex\:arithmetic\:rule}:\quad \left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i[/tex]

[tex]a=14,\:b=-2,\:c=7,\:d=12[/tex]

[tex]=\left(14\cdot \:7-\left(-2\right)\cdot \:12\right)+\left(14\cdot \:12+\left(-2\right)\cdot \:7\right)i[/tex]

[tex]=122+154i[/tex]

Answer [tex]m=250w[/tex]

Step-by-step explanation:

To write an engebraic expression, you should first start off by defining the variables.

Money earned = m

Weeks = w

Next, you have to define the relationship.

Shawn earns $250 per week, so in 2 weeks, he will earn 500, 3 weeks, 750, and so on. I did this by mulitplying, so amount of weeks times the amount of money earned would equal the total money he earned over "w" amount of weeks.

To create the expression, you just have to put the numbers and variables together.

m (money earned over "w" weeks) = 250 (money per week) w (number of weeks).

m=250w

Answer:

3 sign changes from the highest order term to lowest

Answer:

15

Step-by-step explanation:

in a triangle

base (b) = 5 cm

height (h) = 6 cm

Area of the triangle

= 1/2 * b * h

= 1/2 * 5 * 6

= 5 * 3

= 15 cm²

hope it helps :)

Y=12, this is just a guess. Sorry if its wrong.

Answer:

no. a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set.

Answer:

The mean of the ages of the Fry children is 8.

Step-by-step explanation:

To find the mean, you add up all of the numbers given, and then divide the sum by how many numbers you are given.

5+10+12+15+8 = 40      40/5 = 8

Answer:

D. 79%

Step-by-step explanation:

Took the the on USA Test prep

If a point is randomly selected from the rectangular area of the graph, the probability that it will be in the blue region is 79%.

The ratio of the number of favorable outcomes to the total number of outcomes of an event is known as probability.

It is given that, the length=20, the width=10, and the radius of half circle=10.

Calculate the area of the rectangle.

Knows the area of the rectangle is the product of length and width.

So,

[tex]\Rightarrow \text{Area of rectangle}=\text{10}\times \text{20} \\ \Rightarrow \text{Area of rectangle}=200 \\[/tex]

Calculate the area of the half-circle.

Knows the area of the half-circle[tex]=\frac{\pi r^{2} }{2}[/tex].

So,

[tex]& \Rightarrow \text{Area of half circle}=\frac{3.14\times 10\times 10}{2} \\ & \Rightarrow \text{Area of half circle}=\frac{314}{2} \\ & \Rightarrow \text{Area of half circle}=157 \\[/tex]

Calculate the probability that it will be in the blue region.

Knows the formula for the probability, [tex]\text{Probability}\left( \text{Event} \right)=\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}[/tex]

So,

[tex]& \Rightarrow \text{Probability}=\frac{\text{157}}{200} \\ & \Rightarrow \text{Probability}=0.78539 \\ & \therefore \text{Probability }\%=79\% \\[/tex]

Thus, the correct answer is an option (D). i.e., 79%.

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Answer:

x<15

Step-by-step explanation:

Answer:

(x−9/3)=2    x = 5

Answer:

x = 5

Step-by-step explanation:

I hope this helps you! :D

Answer:

samuel runs 200 yards in 32 seconds, while jake runs 15o yards in 30 seconds. samuel has greater speed than jake

Step-by-step explanation:

Answer:

1) B. similar

2) D. (4, 2)

Step-by-step explanation:

1)

When a figure is dilated, the shapes will be similar. Reflected is another transformation so that's wrong. Same size and congruent is wrong since that would have to make the dilated size equal which can't since it's contradicting.

2)

B: (4, -2)

Reflection across the x-axis:

(x, y) → (x, -y)

(4, -2) → (x, -y)

(4, 2)

Answer:

$7.50 per hour

Step-by-step explanation:

15/2=7.5

Answer:

she makes $ 7.50 an hour

Step-by-step explanation:

mark brainliest

Answer:

the numbers are 4,8,16,64 and 4096 using laws of indices

Answer:80017

Step-by-step explanation:

80017

Answer: constant

Step-by-step explanation:

Hope this help!

Answer:

Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive

Answer:

12

Step-by-step explanation:

1.5 cups a person

1.5 x 8 is 12

as given in the diagram this is equalatral triangle where all the side and angle are same

the sum of the three angle in a triangle is always 180 degrees

as in this triangle all of the angles are the same its

[tex]5x+5x+5x= 180\\15x=180\\x= 12[/tex]

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Answer:

14 inches

Step-by-step explanation:

She measures along the outer edge of the crust from one piece and finds it to be 5.5 inches.

We need to find the diameter of the pizza. A pizza is divided into 8 equal parts.

The circumference of one part = [tex]\dfrac{2\pi r}{8}=\dfrac{\pi r}{4}[/tex]

So,

[tex]\dfrac{\pi r}{4}=5.5\\\\2r=D=14\ inch[/tex]

So, the diameter of the pizza is 14 inches.

Step-by-step explanation:

11.68-0.48

= 11.20

11.20÷1.6

= 7.0 or 7

ahh this is the correct answer.

so if it helps don't forget to like and Mark me.

Answer:

bottom left graph

Step-by-step explanation:

The function g(x) is a translation of function f(x). It is the function f(x) moved 3 units down.

The vertex of the parabola of f(x) is (0, 0).

The vertex of the parabola of g(x) is (0, -3).

Answer:

Answer:

[tex]\sqrt{1000\times 1000}[/tex]

[tex]=\sqrt{1000^2}[/tex]

[tex]=1000[/tex]

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Have a great day!!

Answer:

5cx12a=342t+2550

Step-by-step explanation:

C=Child

A=Adult

T=Ticket

Answer: (2, 8)

Since both equations in the system are equal to y, substitute -4x + 16 for y in the quadratic equation, and then solve for x as follows.

Next, substitute x = 2 into either of the original equations to find the y-value of the solution to the system of equations.

Therefore, the solution to the given system of equations is (2,8).

The solution of the system of equations will be;

⇒ x = 2

⇒ y = 8

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

⇒ y = - 2x² + 4x + 8

⇒ y = - 4x + 16

Now,

Since, The system of equations are,

⇒ y = - 2x² + 4x + 8  ..(i)

⇒ y = - 4x + 16     ..(ii)

Substitute the value of y from (ii) in equation (i), we get;

⇒ - 4x + 16 = - 2x² + 4x + 8

⇒ - 2x² + 4x + 8 + 4x - 16 = 0

⇒ - 2x² + 8x - 8 = 0

⇒ - x² + 4x - 4 = 0

⇒ x² - 4x + 4 = 0

⇒ x = - (-4) ± √ (-4)² - 4×1×4 / 2×1

⇒ x = 4 ± √16 - 16 / 2

⇒ x = 4 / 2

⇒ x = 2

And, y = - 4x + 16

⇒ y = - 4 × 2 + 16

⇒ y = - 8 + 16

⇒ y = 8

Thus, The solution of the system of equations will be;

⇒ x = 2

⇒ y = 8

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Answer: 65 = x + 2

x = 63 inches

Step-by-step explanation:

Answer: 67

Step-by-step explanation: a p e x