What is the diameter of the circle (x + 25/4)² + y² = 25?

Answer:

2[tex]\pi[/tex]

Step-by-step explanation:

Answer:

option 1

Step-by-step explanation:

The radius of a unit circle is 1 and its diameter is 2 . π can be defined as the ratio of the circumference of a circle to its diameter, hence the circumference of the unit circle is 2π . In general the circumference of a circle of radius r is 2πr

Considering the circumference of the circle, it is found that the length of arc AB is of 3.1 meters.

The circumference of a circle of radius r is given by:

[tex]C = 2\pi r[/tex].

This measure is equivalent to the length of an arc of 360º.

In this problem, we have that the radius is of r = 3m, hence the circumference is given by:

C = 6 pi m.

Arc AB has an angle of 60º, hence it's length is 1/6 of the circumference, which will then be of pi m = 3.1 meters.

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Answer: [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]7.6[/tex] or [tex]\sqrt{58}[/tex]

Step-by-step explanation:

[tex](-6-(-3))^2 + (7-0)^2[/tex]

[tex](-6, 7) and (-3, 0)[/tex]

[tex]the[/tex] [tex]distance[/tex] [tex]between[/tex] [tex]the[/tex] [tex]two-points[/tex] [tex]rounding[/tex] [tex]to[/tex] [tex]the[/tex] [tex]nearest[/tex] [tex]tenth[/tex].

[tex](-6,7)=(-6=[/tex]

[tex]7=)[/tex]

[tex](-3,0)=(-3=[/tex]

[tex]0=)[/tex]

[tex]Exact Form:\sqrt{58}[/tex]

The answer is [tex]7.2[/tex] [tex](7.61577310)[/tex] and [tex]\sqrt{58}[/tex]

Answer: [tex]\sqrt{58}[/tex] and [tex]7.6[/tex]

Answer & Step-by-step explanation:

These questions are wanting you to find the sequence and solve for the nth term in said sequence.

The easiest way to do this is to just see the difference between each number, and continue adding or subtracting to the nth term the question is asking for.

For example, the first one is decreasing by 3 every time, so the 7th term will be -4, (the 4th term), subtracted by 3, three more times.

5, 2, -1, -4, -7, -10, -13

The other way to do this is to find the rule, and subsitute in what term is required.

For letter c (the second c), the sequence is 30, 24, 18, 12

The rule is to subtract 6 every time, so -6 n

Since we start our 1st sequence from 30, our rule must start from 30 + 6, the opposite of our rule, which gives us 36.

Our rule is 36 - 6n

So since we are looking for the 11th term, we substutute in 11 into our equation.

36 - 6 n
36 - 6 (11)

36 - 66

-30

This way of thinking will work for the whole set of questions you have here

If 1 bag of soil will covers 5 square feet, the number of bags of soil that will cover Susie's 35 square feet triangular garden is 7 bags.

Option D) is the correct answer.

Area of a triangle is expressed as half base multiply by height.

A = (1/2)base × height

Given that;

A = (1/2)base × height

A = (1/2) × 7ft × 10ft

Area of the triangular garden A = 35ft²

Now, if 1 bag of soil covers 5 square feet. how many will cover 35 square feet?

1 bag covers 5ft²

x bags covers 35ft²

x = 35 / 5

x = 7 bags

Therefore,  if 1 bag of soil will covers 5 square feet, the number of bags of soil that will cover Susie's 35 square feet triangular garden is 7 bags.

Option D) is the correct answer.

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Answer:

Step-by-step explanation:

Answer:

(x - 1) is a factor of 2x² - 3x + 1

Step-by-step explanation:

Method 1

If (x - 1) is a factor of f(x) = 2x² - 3x + 1  then f(1) = 0

Substitute x = 1 into the equations:

f(1) = 2(1)² - 3(1) + 1

     = 2 - 3 + 1

     = 0

Therefore, (x - 1) is a factor of 2x² - 3x + 1

Method 2

Factor  2x² - 3x + 1

Find 2 two numbers that multiply to 2 and sum to -3:  -2 and -1

Rewrite the coefficient of the middle term as the sum of these 2 numbers:

⇒ 2x² - 2x - x + 1

Factorize the first two terms and the last two terms separately:

⇒ 2x(x - 1) - 1(x - 1)

Factor out the common term (x - 1):

⇒ (2x - 1)(x - 1)

Thus proving that (x - 1) is a product of 2x² - 3x + 1

Answer:

729.

Step-by-step explanation:

-3 /1 =-3

9 / -3= -3

-27/9 = -3

So this is a geometric sequence with common ratio r = -3.

First term a = 1 so

nth term = ar^(n-1)

               =  1(-3)^(n-1)

7th term  =  1(-3)^(7-1)

                =  (-3)^6

                 =  729.

Brendan's trip plans could be changed to keep him under, but near to, his original budget if he replaces Stuttgart with Kiel. Therefore, it is B.

A budget is basically a financial forecast of revenue and spending for a given period.

The substitution of Kiel for Stuttgart in Brendan's trip plans would result in him keeping under, but near to, his original budget. This will help save money.

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Based on the information provided, to feed the second cat it is necessary 1 1/2 extra cans or 1.5 cans.

This difference can be found by substracting the total cans fed with only one cat to the total fed with two cats:

Based on this, to have a second cat implies 1.5 extra cans.

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Answer:

Size 8

Step-by-step explanation:

A woman's size 8 in kids is a 6 or 6.5 youth shoe size.

Answer:

The answer is 28. It is easy.

The probability that you select a comedy to watch second given that you randomly selected a comedy to watch first will be,[tex]\rm \frac{1}{5}[/tex].

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

No of action films = 3

No of comedy films=3

The probability that you select a comedy to watch second given that you randomly selected a comedy to watch first is found as;

[tex]\rm P = \frac{C_3'}{C_6'} \times \frac{C_2'}{C_5'} \\\\\ P=\frac{3}{6} \times \frac{2}{5} \\\\ P=\frac{1}{5}[/tex]

Hence, the  probability that you select a comedy to watch second given that you randomly selected a comedy to watch first will be,[tex]\rm \frac{1}{5}[/tex].

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Answer:

x = 3

Step-by-step explanation:

[tex](8x - 8)^{3/2} = 64\\(8x - 8)^{3} = 4096\\x = 3[/tex]

Answer:

A on edge 23

Step-by-step explanation:

because math

Answer:

  D.  96 m²

Step-by-step explanation:

The surface area of a triangular prism is the sum of the areas of all of the faces. A triangular prism has two triangular faces (bases) and three rectangular faces.

__

The dimensions of the rectangular faces are such that they can be considered together as a rectangle whose width is the distance between the triangular faces, and whose length is the perimeter of the triangle. For this prism, that is a 7 m width and a (3+4+5) = 12 m length.

The two triangular faces together have an area that is equal to that of a rectangle with the same base and height as the triangular face. For this prism, that is a 3 m base and a 4 m height.

The total surface area is ...

  lateral area + base area = (7 m)(12 m) +(3 m)(4 m) = (84 +12) m²

  surface area = 96 m²

_____

Additional comment

The formula for the area of a triangle is ...

  A = 1/2bh

A triangular prism has two congruent triangular faces, so their total area is ...

  A = 2(1/2bh) = bh

We elected to skip the halving and doubling, and go straight to the total base area.

[tex]\text{Given that,}\\\\~~~~~~~\text{Area} = 25\pi\\\\\implies \pi r^2 = 25 \pi\\\\\implies r^2 = 25\\\\\implies r= 5\\\\\text{Now,}\\\\\text{Circumference}= 2\pi r\\\\~~~~~~~~~~~~~~~~~~~~=2\pi \cdot 5\\ \\~~~~~~~~~~~~~~~~~~~~=10\pi[/tex]

Answer:

350 dollars

Step-by-step explanation:

We're given:

First, find the total cost for student tickets:

Therefore, the total cost for student tickets was 170 dollars.

Now, find the total cost for adult tickets:

Therefore, the total cost for adult tickets was 180 dollars

To find the total cost for the museum tickets, find the sum:

180 + 170 = 350 dollars

Therefore, the museum tickets cost 350 dollars in total.

Answer:

[tex]2(n-3)=2n-6[/tex]

Step-by-step explanation:

[tex]4(n-3)-2(-3+n)\\\\4(n-3)-2(n-3)\\\\(4-2)(n-3)\\\\2(n-3)[/tex]

Answer:

[tex]2x^2+x-3=(2x+3)(x-1)[/tex]

Step-by-step explanation:

Rewrite the middle term as a sum of two terms so that the coefficients add up to the coefficient of the middle term, and group the entire polynomial into two binomials in which they have the same factor:

[tex]2x^2+x-3\\2x^2-2x+3x-3\\(2x^2-2x)+(3x-3)\\2x(x-1)+3(x-1)\\(2x+3)(x-1)[/tex]

Hope this helps! Let me know if you are still confused.

During the hike, Rick saw 20 animals and 10% of the animals were snakes.

An equation is an expression that shows the relationship between two or more variables and numbers.

During the hike, he saw 6 lizards, 1 scorpion, 2 foxes, 3 jackrabbits, 6 deer, and 2 snakes.

Total number of animals = 6 + 1 + 2 + 3 + 6 + 2 = 20 animals

Percentage of animals that were snakes = (2 / 20) * 100% = 10%

During the hike, Rick saw 20 animals and 10% of the animals were snakes.

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Since it's an arithmetic sequence,

[tex]a_2 = a_1 + d[/tex]

[tex]a_3 = a_2 + d = a_1 + 2d[/tex]

[tex]a_4 = a_3 + d = a_1 + 3d[/tex]

and so on, up to

[tex]a_n = a_1 + (n-1)d[/tex]

Now, by substitution,

[tex]a_1 + a_3 + a_5 = -12[/tex]

[tex]a_1 + (a_1+2d) + (a_1+4d) = -12[/tex]

[tex]3a_1 + 6d = -12[/tex]

[tex]a_1 + 2d = -4[/tex]

[tex]\implies a_1 = -4-2d, a_3 = -4, a_5 = -4+2d[/tex]

Then the product [tex]a_1a_3a_5=80[/tex] depends only on d, so that

[tex](-4-2d) \times (-4) \times (-4+2d) = 80[/tex]

Solve for d :

[tex](4+2d) (4-2d) = -20[/tex]

[tex]16 - 4d^2 = -20[/tex]

[tex]4d^2 = 36[/tex]

[tex]d^2 = 9[/tex]

[tex]d = \pm3[/tex]

If d = 3, then the first term in the sequence is [tex]a_1 = -10[/tex], and the tenth term would be [tex]a_{10} = \boxed{17}[/tex].

If d = -3, then the first term would instead by [tex]a_1 = 2[/tex], and the tenth term would be [tex]a_{10} = \boxed{-25}[/tex].

Answer:

17/36

Step-by-step explanation:

Answer:

f - 65 pages per hour

Step-by-step explanation:

420 - 160 = 260

6 - 2 = 4

260 divided by 4 is 65 on average per hour

Answer:

F. 65.

Step-by-step explanation:

The number of pages he has left to read = 420 - 160

= 260.

So mean number per hour 260/4

= 65.

Answer:

B is correct I hope this helps.

In the design of a package, things to take into consideration are:

The most cost effective and efficient to pack 12 golf balls is through the  use of a small golf bag or a small box that is made specially for that purpose.

The design of the box will be in a rectangle shape where there will be two rows of which the ball is made to fit in till the 12 balls are completely inside the box. The lock is automatic and it is one that can be easily closed and opened easily when one wants to take a ball.

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Answer:

Angle 1 = 78 degrees

Angle 2= 90 degrees.

Angle 3= 12 degrees

Step-by-step explanation:

For angle 1,

Since all opposite angles of a kite is congruent, if the opposite half of the angle is 78 degrees, then the other opposite half is also 78 degrees.

For angle 2,

Diagonals of a kite will ALWAYS form right angles, this since angle 2 is formed by intersecting diagonals, it would be 90 degrees.

For angle 3,

Opposite angles of a kite are supplementary, meaning that the two angles will form a straight line, or 180 degrees.

We know that 78 degrees is half of one opposite angle, so the opposite angle can be concluded as 156 degrees.

The other set of two angles is unknown, so we take it as this formula:

156+2x=180

We subtract 156 from 180 to cancel out the coefficient.

2x=24

Now we use the division property of equality.

2x/2=24/2

x=12.

Angle 3= 12.

Answer:

T(6,5)

Step-by-step explanation:

Solution,

Let the coordinate of T be T(a,b), where T divides a line AB internally in the ratio 5:2. Given that A is (-4,10) and B is (10,3).

From the section formula,

[tex]x=\frac{m_1x_2+m_2x_1}{m_1+m_2},y=\frac{m_1y_2+m_2y_1}{m_1+m_2}[/tex]

Let,

(x,y)=(a,b)

(x₁,y₁)=(-4,10)

(x₂,y₂)=(10,3)

m₁:m₂=5:2

Now substitute the values.

[tex]\hookrightarrow x=\frac{m_1x_2+m_2x_1}{m_1+m_2},y=\frac{m_1y_2+m_2y_1}{m_1+m_2}\\\\\hookrightarrow a=\frac{5\times10+2\times(-4)}{5+2},b=\frac{5\times3+2\times10}{5+2}\\\\\hookrightarrow a=\frac{42}{7},\: b=\frac{35}{7}\\\\\hookrightarrow a=6, \:b=5[/tex]

Answer:

is 3.5

Step-by-step explanation:

you need to use SOH CAH TOA

Answer:

this is how I solve it....

Answer:

m<1 = 94

m<2 = 132

Step-by-step explanation:

This is a right trapezoid

Since the base lines are parallel, the facing angles would be supplementary and their sum is equal to 180 which means:

m<1 + 86 = 180 so m<1 = 94

and

m<2 + 48 = 180 so m<2 = 132

Answer: A. 42

7/8 = ?/48

8 * 6 = 48

7 * 6 = 42

? = 42