5. Rochelle needs to pack a picture frame that measures 7 inches
on each side. Will it fit into a box that measures 7.52 inches on each
side? Explain.

The value of x in given figure is a whole number that is x = 6.6

When two tangent segment are drawn from an outside point to a circle, the sum of the dimensions of the first tangent segment and its exterior tangent segment equals the sum of the dimensions of the other secant segments and its exterior secant segment.

Given the image and the labelled measurement of two secant segments outside the predetermined circle that have a similar endpoint. We are required to determine what x's value is.

With these measurements, we can use the secant-secant theorem to solve for the value of x as we refer to and analyse the figure. We will therefore have this theorem applied.

(5) [(5) + ( x+4)] = (6) [6 + 7]

(5) [5+x+4] = (6) [13}

5 [9 + x] = 78

45 + 5x = 78

5x = 33

x = 6.6

Therefore the value of x is 6.6

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Answer:

it is 28 cm^2 ig

you got to solve it in the same way as the first question ( divide the shape into rectangles and find the area of each then add them )

Answer:

40

Step-by-step explanation:

Answer:

25/32

Step-by-step explanation:

(-50)/(-2)

= 25

when numbers with same signs are divided it gives positive sign........

According to the question the potato will be 75 feet from the ground at 5 seconds.

Ground is the solid surface of the Earth. It is composed of soil, rocks, and sediment. Ground allows us to walk, build, and grow plants. It also provides a habitat for many different species of animals and plants. Ground can be affected by human activities such as construction and farming, or natural events such as earthquakes, volcanoes, and erosion.

The function h(t)=-16t^2 + 100t + 5 is a quadratic equation that describes the height of the potato (h) at any given time (t).
The first term, -16t2, describes the acceleration due to gravity.
The second term, 100t, describes the initial velocity at which the potato was launched.
The third term, 5, describes the initial height of the potato, which is 5 feet.
Therefore, to find the height of the potato at any given second, we simply plug in the value of t into the equation. For example, if we want to find the height of the potato at t = 5 seconds, we plug in 5 for t and solve for h:
h(5) = -16(5)2 + 100(5) + 5 = 75 feet
Therefore, the potato will be 75 feet from the ground at 5 seconds.

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We plug in 5 seconds for t and solve for h:

\(h(5)=-16(5)^2+100(5)+5=75\) feet

In five seconds, the potato will be 75 feet above the earth.

The function \(h(t)=-16t^2+100t+5\)

Describes the height of the potato (h) at any given moment using a quadratic equation. (t).

The acceleration brought on by gravity is described by the first term, \(-16t^2\).

The potato's original launch velocity is indicated by the second term, 100t.

The third term, 5, refers to the potato's original height, which is 5 feet.

Therefore, we only need to enter the value of t into the equation to determine the height of the potato at any particular time.

For instance, we plug in 5 for t and solve for h to determine the height of the potato at t = 5 seconds.

\(h(5)=-16(5)^2+100(5)+5\\\\h(5)=75\ feet\)

The potato will therefore be 75 feet above the earth in 5 seconds.

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Step-by-step explanation:

-282.02 its korrect now

Answer: D

Step-by-step explanation:

First, we see that each flower basket is the variable x. This is because that is what increases per situation. The constant fee no matter the amount of flower baskets for store A is $15, so for store A our equation is

Total spent=19.25x+15

And similarly, for store B it is

Total spent=17.50x+30

Now, to compare them we want to keep store A LESS THAN (<) store B ,

so we get that 19.25x+15<17.50+30, which is D

The equation is x = 20.85 / 1.75 where x is the number of miles and the number of miles is 11.91 miles.

Given,

Sydney took a taxi from her house to the airport.

The taxi company charged a pick-up fee of $1.75 per mile.

The total fare was $20.85, not including the tip.

We need to write and solve an equation that can be used to determine the number of miles in the taxi ride.

We have,

Taxi fare per mile = $1.75

Total fare = $20.85

Find the number of miles in a total fare of $20.85.

$1.75 = 1 mile

Multiplying by 20.85 on both sides.

20.85 x $1.75 = 20.85 x 1 mile

Dividing by 1.75 on both sides.

(20.85 x $1.75) / 1.75  = (20.85 x 1 mile) / 1.75

$20.85 = 11.91 mile

We see that  11.91 miles will cost $20.85.

Write an equation to show this situation.

x = 20.85 / 1.75

Where x is the number of miles.

we get,

x = 20.85 / 1.75 = 11.91

Thus the equation is x = 20.85 / 1.75 and the number of miles is 11.91 miles.

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The Total Proability will be 297 / 1015

What is Probability?

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

Solution:

Total Number of Regular Soft Drinks = 18

Total Number of Diet Soft Drinks = 12

Total Drinks = 18 + 12 = 30

Probability of selecting Diet Soft Drink in the first two attempt = 12/30 * 11/29 * 18/28 = 2376 / 24360

Probability of selecting Diet Soft Drink in the first and last attempt = 12/30  * 18/29 * 11/28 = 2376 / 24360

Probability of selecting Diet Soft Drink in the second and last attempt = 18/30  * 12/29 * 11/28 = 2376 / 24360

Total Probability = 3 * 2376 / 24360

Total Probability = 2376 / 8120

Total Probability = 297 / 1015

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The theoretical probability of landing on blue if we add another section to a spinner with five sections will be 1/6.

In the first paragraph, the summary states the answer, which is the theoretical probability of landing on blue if we add another section. The theoretical probability is the likelihood of an event occurring based on mathematical calculations and assumptions.

In the second paragraph, the explanation provides reasoning for the answer. Adding another section increases the total number of sections to six. Since the new section is blue, there will now be two blue sections out of six. Therefore, the probability of landing on blue is 2/6, which can be simplified to 1/3 or approximately 0.1667.

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Answer:

from B-A is adjacent

because of the 90 degree

Answer:

A. 5.2

Step-by-step explanation:

I was taught how to do this using the SOH CAH TOA method.

Step 1: Circle your given angle.

Step 2: Label O, H, and A. The line across from your circled angle will be labeled O. The side across from the right angle is H. The last unmarked side is A.

Step 3: Cross off the useless side, in this case, that would be A because there is no corresponding information.

Step 4: Identify if it is sine, cosine, or tangent using SOH CAH TOA. In this case, you only have an O and H so we will use SOH.

Step 5: Set up the equation. The equation is \(\frac{sine(31)}{1} =\frac{x}{10}\). We will use sine of the given angle is equal to the side marked O over the side marked H.

Step 6: Solve for x until x is by itself, then enter into your calculator.

You will enter \(sine(31) * 10\) into your calculator and round if necessary.

we have

P = 5x+30

S=80

and S+P=140

then:

answer: B. 6

Answer: The midpoint  is MZ midpoint = (0.5,1)

Step-by-step explanation:

\(MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} ) \\MP= (\frac{-4+3}{2}),(\frac{-1+3}{2} )\\MP= (\frac{-1}{2}),(\frac{2}{2} ) \\\\MP= (-0.5 ,1)\)

Answer:

45 cents

Step-by-step explanation:

Let

v---------> the original value of the baseball card

we know that

------> equation to find the original value of the baseball card

solve for v

Divide both sides by 80

therefore

the answer is

the original value of the baseball card is $0.45

Step-by-step explanation:

Area of a rectangle = length x width

Perimeter of a rectangle = 2 x (length + width)

Width = 3ab^4

Length = 5a^2b^4

Area = length x width

Area = (5a^2b^4) x (3ab^4)

Area = 15a^3b^8

Therefore, the area of the rectangle is 15a^3b^8.

Perimeter = 2 x (length + width)

Perimeter = 2 x (5a^2b^4 + 3ab^4)

Perimeter = 2 x a^2b^4 (5 + 3)

Perimeter = 16a^2b^4

Therefore, the perimeter of the rectangle is 16a^2b^4.

Answer:

AREA of rect. - l x b

= 3ab^4 x 5a^2b^4

PERIMETER - 2(l+b)

=2(3ab^4 + 5a^2-b^4

(a) The function f(x, y) does not have a limit at (0,0). (b) No information is provided to determine the limit for f2(x, y).

(a) For the function f(x, y) = 5ry²/(3x² + y²), we can analyze the behavior as (x, y) approaches (0,0). Since the denominator 3x² + y² becomes zero as (x, y) approaches (0,0), we cannot directly evaluate the function at this point. However, by considering the parabola z = -y², we can observe that the function does not approach a specific value and thus does not have a limit at (0,0).

(b) The function f2(x, y) = Vel + Vsin(y) is not well-defined as no information or context is provided for the variables Vel, V, and U. Without this information, it is not possible to determine the limit of the function at (0,0) or any other point.

Therefore, for (a), the function f(x, y) does not have a limit at (0,0), and for (b), no information is given to determine the limit for f2(x, y).

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The first number which is represented by n as in the given equation of the task is; 78.

It follows from the task content that the sum of the two consecutive number is 157 and hence the situation is represented as follows;

2n +1 = 157

2n = 157-1

2n = 156

n = 78

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The population the surveyors are really interested in are

The population the surveyors are really interested in are " All registered voters in Raleigh" and the population of the city actually represented by this survey are "All the registered voters with telephones in Raleigh".

Total registered voters \(=11000\).

A telephone poll of \(550\) randomly selected registered voters was conducted.

Number of people who said to vote for Brown = 308 .

Number of people who said to vote for Feliz = 214 .

Here, All registered voters in Raleigh describe the population the surveyors are really interested in.

And, the population of the city actually represented by this survey are all the registered voters with telephones in Raleigh.

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Answer:

After 250 messages

Step-by-step explanation:

45+0.25x=70+0.15x

O.25x-0.15x = 70-45

0.10x = 25

X = 25/.10

X = 250 messages

The example of quantitative data among the given options is option A. North America is moving across Earth's surface several centimeters per year

Quantitative data refers to numerical or measurable information. In option A, the statement provides specific numerical measurements by stating that North America is moving across Earth's surface several centimeters per year. This information can be quantified and measured, making it an example of quantitative data.

Options B, C, D, and E do not provide numerical or measurable information. They describe qualitative characteristics or observations that cannot be easily quantified or measured.

B. The river has flooded a low-lying area describes a qualitative observation of a flood occurrence.

C. The volcano is releasing much steam describes a qualitative observation of steam release.

D. Volcanoes are dangerous makes a general statement without providing specific numerical information.

E. When held, one rock feels heavier than another rock is a subjective comparison and does not provide specific quantitative measurements.

Therefore, option A is the example of quantitative data as it provides numerical information that can be measured and quantified.

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Answer:

54 m squared

Step-by-step explanation:

If you look at it from a birds eye view, the post being in the middle, it's just a 9m*6m rectangle of feeding area.

To find the area that the sheep can feed on, we need to find the area of circle. The area that the sheep can feed on is  254.57 square meters.

We can approach this problem by drawing a diagram:

                 fence

    o------------|------------o

                  |

                  |

                  |

                  |

                  |

                  | 9m

                  |

                  |

                  |

                  |

                  |

                  |

                  |

                  o sheep

               post (6m)

The sheep is tethered to the post, and the rope has a length of 9 meters. The post is 6 meters away from the fence. The sheep can move around in a circle whose center is at the post, and whose radius is the length of the rope.

To find the area that the sheep can feed on, we need to find the area of this circle. The formula for the area of a circle is:

A = πr^2

where A is the area, π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius.

In this case, the radius is 9 meters, so we have:

A = π(9)^2

 = π(81)

 ≈ 254.57 square meters

Therefore, the area that the sheep can feed on is approximately 254.47 square meters.

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Answer:

a) 2x + 6y + 7x

9x + 6y

b) 3a + 8b + 5a

8a + 8b

c) 6u + 3v - 2u

4u + 3v

d) 9p + 8q - p

8p + 8q

e) 2m + 5n + 4m + 3n

6m + 5n + 3n

6m + 8n

f) 6u + 9v + u + 3v

12v + 6u + u

12v + 7u

g) 8b + 7c + 3b - 2c

8b + 3b + 5c

11b + 5c

h) a + 2b + a - b

2a + 2b - b

2a + b

i) 5a + 2b - 5a + 6b

8b + 5a - 5a

8a

h) 9p + 3q - 2p - 3q

7p + 3q - 3q

7p

Answer:

20 cm²

Step-by-step explanation:

L=2+3 =5cm

w= 4cm

area= 5×4

= 20cm²

Answer:

14

Step-by-step explanation:

4 x 2 = 8

3 x 2 = 6

8 + 6 = 14

Answer:

150°

Step-by-step explanation:

every line is equal to 180°. To find an angle, like this one, you have to subtract 30° from 180°. Therefor the answer is 150°.

If you need a further explanation just let me know

The x-value gives the maximum area is 450 ft.

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Given that, a rectangular corral is to be built using 900 ft of fencing.

Here, 900=2l+w

w=900-2l

b) Area = Length×width

So, area = l×(900-2l)

Let the length be x, we get

Area =900x-2x²

f(x)=900x-2x²

d) The x-value gives the maximum area is

900x-2x²=0

900x=2x²

x=450

Therefore, the x-value gives the maximum area is 450 ft.

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Answer:

Step-by-step explanation:

please help him