Find the area of a circular sector in cm² with angle 15° if the length of the intercepted arc is pi/2 cm

Let's consider all the trig identities, to help us with the problem:

   ⇒ (look at the attached image for help with that)

After looking at all the trig identity, let's look at the problem given to us:

 ⇒ cos(θ) = [tex]\frac{5}{13}[/tex]

    ⇒ we know that sec(θ) = 1 / cos(θ) = 1 / (5/13) = 13/5

Thus: sec(θ) = 13/5, which just so happens to be Choice (D)

Answer: sec(θ) = 13/5 or Choice (D)

Hope that helps!

Using the dot plot, the correct option regarding the group that appears to have the longer average forearm length is:

Group A, because seven children have a forearm length longer than 12 inches

A dot plot shows the number of times each measure appears in the data-set.

In this problem, Group A has 3 students with forearm length of 14 inches, while group B have none. Group A also has more students with forearm length of 13 inches, and less of 11 and 12(lower values). Hence the correct option is given by:

Group A, because seven children have a forearm length longer than 12 inches.

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By evaluating the function in j = 1, we conclude that each bottle costs 80 cents.

We know that the total cost in dollars can be represented by the linear equation:

C(j) = 0.8*j

Where C is the cost, and j is the number of juice bottles bought.

Then to get the cost of each bottle, we can evaluate the function in 1, which means buying only one.

C(1) = 0.8*1 = 0.8

So each bottle costs $0.80 (or 80 cents).

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Answer: the one that passes through the y-intercept of -3

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer:

Here is the answer...hope it helps

Answer:

C. 54 tens

Step-by-step explanation:

54×10=540

54tens=540

Answer:

54 tens

Step-by-step explanation:

This is like regular multiplication, sort of.

54 x 10= 540

540=54

Answer is 105 degrees.

Explanation:

Given two parallel lines AB and CD and a transversal cutting the two lines.

We know that when a transversal cuts two parallel line,

i) corresponding angles would be equal

ii) Interior angles total to 180

iii) alternate angles are equal.

In the picture given we have corresponding angles as

(2,6) .  Hence angle 2 = angle 6.

Angle 6 = 75 (given)

Hence angle 2 =75.

Angles 1 and 2 are supplementary because they form a linear pair.

Hence angle 1 = 180-75

Angle 1 =105

Factorising the polynomial 5x³ + 35x² + 6x + 42, the value of A is 6.

Factorising a polynomial simply means to decompose the polynomial into a product of two or more polynomials.

Therefore, let's factorise 5x³ + 35x² + 6x + 42 and find the value of A

(5x² + A)(x + B)

Therefore,

5x³ + 35x² + 6x + 42

5x³ + 6x  + 35x² + 42

x(5x² + 6) + 7(5x² + 6)

Therefore,

(5x² + 6)(x + 7)

Therefore, the value of A is 6

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Answer:

12,30

Step-by-step explanation:

Hence the numbers can either be (6,60) or (12,30), but as both the numbers are greater than 6 so the answer is (12,30)

Answer:

5x²+6x+7=0

Step-by-step explanation:

Yeah. I think it's the answer

Answer:

5x² + 6x + 7 = 0

Step-by-step explanation:

Standard form of quadratic equation :

Solving :

Answer:

The amplitude is the maximum displacement/highest peek

Which is in your case = 2

Answer:

Step-by-step explanation:

Comment

If you do not have a graphing calculator the best thing to use is Desmos. Desmos is free -- anyone can use it and and the graphs can be used here on Brainly.  I've downloaded the graph for you.

There are a couple of things you should notice.

The most downward point is (-5,-3)

The largest root is x =   -2

The smallest root is x = - 8

Notice the roots are the opposite of what you are given. You will eventually learn how to do all of these things.

The circumference of the circle is about 339 cm.

The area of the circle is about  9, 156 cm∧ 2

NOTE :

The circumference of a circle is known to be the perimeter of the circle.

It is determined using ;

Circumference, C = 2 π r

The area of a circle is known to be the axis occupied by the circle in a two-dimensional plane.

It is determined using ;

Area, A = π r ∧2

How to determine the area and circumference of a circle

Parameters:

π = 3.14

radius, r =54 cm

Circumference, C = 2 π r = 2 × 3.14 × 54 = 339. 12 cm

Circumference , C in the nearest hundredth = 339 cm

Area, A = π r∧ 2 = 3. 14 × 54 × 54 =  9,156.24 cm∧ 2

Area, A in the nearest hundredth = 9,156 cm∧2

Thus, the circumference of the circle in the nearest hundredth is 339cm and the area of the circle in the nearest hundredth is 9, 156 cm∧2

Answer:

Reflection across the x axis

Step-by-step explanation:

When the triangle reflects across the x axis it will directly map over the other triangle and will appear to be congruent

Answer:

A reflection over the x - axis.

Step-by-step explanation:

The new position of a point, a line, a line segment, or a figure after a transformation is called its image. line y=x. A reflection is a type of transformation known as a flip. The figure will not change size or shape. Mathematical reflections are shown using lines or figures on a coordinate plane. The reason these two triangles are congruent is they reflect each other meaning that they are complete opposites reflecting. When mapped, they are completely reflecting.

Answer:

6. The number is [tex]-5[/tex]

7. The two numbers are [tex]10[/tex] and [tex]11[/tex]

Step-by-step explanation:

Question six can be re-worded to create the following expression:

[tex]-2=\frac{4x+10}{5}[/tex]

Solve for x to find the number:

[tex]-2=\frac{4x+10}{5}\\-10=4x+10\\-20=4x\\\frac{-20}{4} = x\\-5 = x[/tex]

Question seven can be solved by first listing the constraints (assuming x is smaller than y):

To get the numbers, we can create a system of linear equations. First, solve for [tex]y[/tex] in each expression:

[tex]y = x+1[/tex]

[tex]2y = 3x-8\\y = \frac{3}{2}x - 4[/tex]

Solve for [tex]x[/tex]:

[tex]x+ 1 = \frac{3}{2}x - 4\\x + 5 = \frac{3}{2}x\\5 = \frac{3}{2}x - x\\5 = \frac{1}{2}x\\10 = x[/tex]

Solve for [tex]y[/tex]:

[tex]y = x + 1\\y = 10 + 1\\y= 11[/tex]

Answer:

see explanation

Step-by-step explanation:

(6)

let n be the number then the sum of 4 times the number and 10 is 4n + 10

so

[tex]\frac{4n+10}{5}[/tex] = - 2 ( multiply both sides by 5 to clear the fraction )

4n + 10 = - 10 ( subtract 10 from both sides )

4n = - 20 ( divide both sides by 4 )

n = - 5

(7)

let the consecutive integers be n and n + 1 , then

3n = 2(n + 1) - 8 ← distribute parenthesis and simplify right side

3n = 2n + 2 - 8

3n = 2n - 6 ( subtract 2n from both sides )

n = - 6 and n + 1 = - 6 + 1 = - 5

the 2 integers are - 6 and - 5

There are 142506 different selections of twenty-five pastries

The given parameters are:

The number of different selections is calculated using:

[tex]C(n + r - 1,r) = \frac{(n + r - 1)!}{r!(n - 1)!}[/tex]

The above formula is used because repetitions are allowed.

So, we have:

[tex]C(6 + 25 - 1,25) = \frac{(6 + 25 - 1)!}{25!(6 - 1)!}[/tex]

Evaluate the sum and difference

[tex]C(30,25) = \frac{30!}{25!5!}[/tex]

Evaluate the expression

C(30,25) = 142506

Hence, there are 142506 different selections of twenty-five pastries

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Answer:

your answer is 242 in^2

A=22+52+168

Answer: attached a picture

The fourth clock shows the time 25 minutes after 4:00.

The correct option is IV.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

There are four clocks.

To watch the time on the clock:

The small arrow line shows the time in hours.

And the large arrow shows the time in minutes.

At the first clock;

The time is 11:20.

At the second clock;

The time is 11:40.

At the third clock;

The time is 12:20.

At the fourth clock;

The time is 4:25.

25 minutes after 4:00 means the large arrow will be pointing towards 5.

Because 25 = 5 x 5.

Therefore, all the times on the clocks are given above.

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The complete question;

From the given choices,

which clock shows 25 minutes after 4:00?

The options are given in the attached image.

Answer:

A= 10

Step-by-step explanation:

[10 + 2/360˚(10)]

Answer:

6.5

Step-by-step explanation:

9.1^2-6.4^2 is 41.85

square root of that is 6.469...

Answer:

The answer would be: √x+3=13

Step-by-step explanation:

A radical equation is an equation with at least one variable put on a radical form. In this question, there is only one kind of variable which is x. Then, you need to find the equation where x is in the radical form. The radical form can be expressed with square root symbol.

The option with √x would be only √x+3=13

Answer:The answer is 12.0321

Step-by-step explanation:

Answer:

We are given the initial price of a car and we are also told that the car sold for a 15% profit which means that the price that the car was sold for is 15% more than it's initial price.  This is just a simple multiplication problem which we multiply the initial price by the total percentage plus 0.15

[tex]Sold\ Price = Initial\ Price *(Total\ Percentage+Profit\ Percentage)[/tex]

[tex]Sold\ Price = \$5200*(1+0.15)[/tex]

[tex]Sold\ Price = \$5200*(1.15)[/tex]

[tex]Sold\ Price = \$5980[/tex]

Therefore, our final answer is that the selling price was $5980

Hope this helps!

A can with a radius of 60 mm and a height of 160 mm. Then the surface area of the cylinder will be 1808640 mm³.

The lateral surface area of a cylinder is also called the curved surface area of the cylinder.

Suppose that:

Radius of the considered cylinder = 'r' units

Height of the considered cylinder = 'h' units

Then, the lateral surface area of that cylinder is:

SA = πr²h

A can with a radius of 60 mm and a height of 160 mm. Then the surface area of the cylinder will be

SA = π x (60)²  x 160

SA = 3.14 x 3600 x 160

SA = 1808640 mm³

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Answer:

7.2

Step-by-step explanation:

(6)^2 + (4)^2

36 + 16

52

square root of 52 = 7.2

Probability = option(s) that we want / total number of possibilities

Options that we want = cash or credit card  = 50 + 4 = 54

Total number of possibilities = cash, debit card, credit card = 50 + 2 + 4 = 56

54 / 56 = 0.96

Answer: 0.96

Hope this helps!

Factors of 40: (1, 40) (2, 20) (4, 10) (5, 8)

---Using these factors will help us find a pair that adds up to -13 and multiplies to equal 40

-5 + -8 = -13

-5 x -8 = 40

(v - 8)(v - 5)

The trinomial can be factored into the following expression (v - 8)(v - 5).

Hope this helps!