if A (4,5), B (6,8), then vec AB is ... ​

Answer:

diameter - B

central angle - E

radius - A

tangent - D

minor arc - F

chord - C

Using the normal distribution, it is found that about 81.8% of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 142, \sigma = 32[/tex].

Th proportion of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day is the p-value of Z when X = 174 subtracted by the p-value of Z when X = 78, hence:

X = 174:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{174 - 142}{32}[/tex]

Z = 1

Z = 1 has a p-value of 0.841.

X = 78:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{78 - 142}{32}[/tex]

Z = -2

Z = -2 has a p-value of 0.023.

0.841 - 0.023 = 0.818 = 81.8%.

81.8% of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day.

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If the volume of the popcorn box is 74 cubic inches. Then the length of the popcorn box in inches will be 0.3 inches.

A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.

Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full.

Its width is 3 and 1/2 in and its height is 77 in.

Then the width of the prism will be

[tex]\rm W = 3 + \dfrac{1}{2}\\\\W = \dfrac{7}{2}[/tex]

Then the length of the popcorn box in inches will be

[tex]\rm V \ = LWH\\\\\\74= L \times \dfrac{7}{2} \times 77\\\\\\L\ = 0.2745 \approx 0.3[/tex]

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Answer: the real answer is 3 inches not 0.3.

Step-by-step explanation:

Formula: V=lwh

You are searching for its length, so if width is 3 1/2 then it will convert to 3.5

V=lwh

75=L(3.5)(7)

=3.02040816

L= 3.0

Your welcome :))

Answer:

Step-by-step explanation:

The area of a square is 49 cm2. What is the perimeter, in cm, of the square?

first we use the inverse formula to find the side (√49 = 7), then multiply the side by 4 (7 x 4 = 28)

or you can use an expression

4 * √49 = 28

Take RHS

[tex]\\ \rm\Rrightarrow \dfrac{tanA+tanB}{tanA-tanB}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{\dfrac{sinA}{cosA}+\dfrac{sinB}{cosB}}{\dfrac{sinA}{cosA}-\dfrac{sinB}{cosB}}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{\dfrac{sinAcosB+cosAsinB}{cosAcosB}}{\dfrac{sinAcosB-cosAsinB}{cosAcosB}}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{sinAcosB+cosAsinB}{sinAcosB-cosAsinB}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{sin(A+B)}{sin(A-B)}[/tex]

Some important identities

[tex]\boxed{\begin{minipage}{6cm} Important Trigonometric identities :- \\ \\ $\: \: 1)\:\sin^2\theta+\cos^2\theta=1 \\ \\ 2)\:\sin^2\theta= 1-\cos^2\theta \\ \\ 3)\:\cos^2\theta=1-\sin^2\theta \\ \\ 4)\:1+\cot^2\theta=\text{cosec}^2 \, \theta \\ \\5)\: \text{cosec}^2 \, \theta-\cot^2\theta =1 \\ \\ 6)\:\text{cosec}^2 \, \theta= 1+\cot^2\theta \\\ \\ 7)\:\sec^2\theta=1+\tan^2\theta \\ \\ 8)\:\sec^2\theta-\tan^2\theta=1 \\ \\ 9)\:\tan^2\theta=\sec^2\theta-1$\end{minipage}}[/tex]

Answer:

[tex]\boxed{\begin{minipage}{6 cm}\underline{Trigonometric Identities}\\\\$\sin (A \pm B)=\sin A \cos B \pm \cos A \sin B\\\\ \dfrac{\sin A}{\cos A}=\tan A$\\\end{minipage}}[/tex]

[tex]\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\sin(a) \cos (b) + \cos (a) \sin (b)}{\sin(a) \cos (b) - \cos (a) \sin (b)}[/tex]

[tex]\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\sin(a) \cos (b) + \cos (a) \sin (b)}{\sin(a) \cos (b) - \cos (a) \sin (b)} \times \dfrac{\dfrac{1}{\cos (a) \cos (b)}}{\dfrac{1}{\cos (a) \cos (b)}}[/tex]

[tex]\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\dfrac{\sin(a) \cos (b)}{\cos (a) \cos (b)} + \dfrac{\cos (a) \sin (b)}{\cos (a) \cos (b)}}{\dfrac{\sin(a) \cos (b)}{\cos (a) \cos (b)} - \dfrac{\cos (a) \sin (b)}{\cos (a) \cos (b)}}[/tex]

[tex]\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\dfrac{\sin(a)}{\cos (a)} + \dfrac{\sin (b)}{\cos (b)}}{\dfrac{\sin(a)}{\cos (a)} - \dfrac{\sin (b)}{\cos (b)}}[/tex]

[tex]\dfrac{\sin (a+b)}{\sin (a-b)}=\dfrac{\tan(a)+\tan(b)}{\tan(a)-\tan(b)}[/tex]

Answer:

2.5 lbs of apples for $3.25

Step-by-step explanation:

16 oz in one pound, 2.5 pounds is 40 oz. 40 oz is bigger than 35 and it costs less.

Answer:

x - 2y > 8 or x - 2y ≤ -6

Step-by-step explanation:

I used desmos

I hope this helps!!!

The equation that we need to solve is:

$157 + $50*m = $50 + $60*m

And the solution is m = 10.7 months.

For the first runer we have a initial amount of $112 + $45 = $157 plus $50 per month, so we can write:

f(m) = $157 + $50*m

And the second runner has an initial amount of $50 and saves $60 per month, so we can write the linear equation:

g(x) = $50 + $60*m

They will have the same amount of money when:

f(x) = g(x)

$157 + $50*m = $50 + $60*m

$107 = $10*m

$107/$10 = m = 10.7

So, after 10.7 months, both accounts will have the same money.

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Answer:

3^3-4^2=11

Step-by-step explanation:

3^3=27

4^2=16

27-16=11

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

The air plane descends 15 feels every 1.45 seconds, so it's unit rate is :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{15}{1.45} \: \: ft / sec[/tex]

Now we have to calculate the descent in 3.5 minutes ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{15}{1.45} \: \: \times 3.5 \times 60[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2172.41 \: \: ft[/tex]

So, the airplane descends 2172.41 feels in three and a half minutes ~

Answer:

2.25 square inches

Step-by-step explanation:

SOLUTION,

HERE,

AREA OF SQUARE = L²

=(1.5)²

= 2.25 INCHES²

Answer:

2.25 inches

Step-by-step explanation:

The area of a square is two of its sides multiplied together. Each side is 1.5 inches. If you multiply 1.5x1.5, you get 2.25 inches.

Answer:

5 seconds and 488 ft

Step-by-step explanation:

(a)

given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 ), then

the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = - 16x² + 160x + 88 ← is in standard form

with a = - 16 and b = 160 then

[tex]x_{vertex}[/tex] = - [tex]\frac{160}{-32}[/tex] = 5

the maximum height is at the vertex, the turning point on the graph

then it takes 5 second to reach its maximum height

(b)

to find the maximum height substitute x = 5 into the equation

y = - 16(5)² + 160(5) + 88

  = - 16(25) + 800 + 88

 = - 400 + 888

 = 488

maximum height is 488 ft

Answer:

17 3/4 feet.

Step-by-step explan

Answer:

Step-by-step explanation:

Solving :

Q1

Q2

Q3

The value of minor arc, major arc and central angles given below:

An arc measure is an angle the arc makes at the center of a circle, whereas the arc length is the span along the arc.

Given: BOF= 126

angle BOF= angle COE= 126 (Vertically opposite angle)

Now,  

angle BOF + angle BOC= 180   (Linear pair)

     BOC=180-126= 54

and, COE= COD+ DOE

              = COD+COD

        126       =2COD

      COD= 63

now, BOD= BOC++COD

                 = 54+63

                = 117

Arc length of BCD= 87/360*2πr

= 2.041r

2. minor arc:

arc BF= 126/360* 2πr

           = 2.198r

arc FE= 54/360*2πr

          = 0.942r

arc DE= 63/360*2πr

          = 1.099r

arc CD= 63/360*2πr= 1.099r

arc CDE=126/360*2πr

             = 2.198 r

3. major arc

 arc BFED= 243/360*2πr

                 = 4.239r

arc FBCD=  243/360*2πr

                 = 4.239r

arc DCBFE= 297/360*2πr

                  = 5.181r

arc CBFE= 234/360*2πr

               = 4.082r

4. 6 central angles

  BOC= 54= FOE

  COD=63=DOE

BOF=126

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If they are parallel it would be 105

If its right please give brainliest

Answer: 9,156.24 ft³

Step-by-step explanation:

The formula for the volume of a cylinder is V = πr²h. The problem gives us both the radius and the height, so we have all necessary values to solve by substitution:

r = 9

h = 36

V = π(9)²×36

= 81 × 36 × π

= 2916π

= 9,156.24 ft³

Answer:

64 ft³

Step-by-step explanation:

given that l = 4 ft

Since a swimming pool is like a cube

:- V= l³

V = 4³

V = 64 ft³

Pasos

(34)x=(35)y=

La ecuación está en formato estándar.

34x=35y

Divide los dos lados por 34.

34

34x

​

=

34

35y

​

Al dividir por 34, se deshace la multiplicación por 34.

x=

34

35y

​

Based on the game involving rolling a number cube, the applicable statements are:

There are six sides of a number cube which means that the sample space is all the sides the cube can land on which are 1,2,3,4,5, and 6.

Because there are 3 odd numbers which can give you a negative point, and 3 even numbers which can give a point, the expected value is 0 as these cancel each other out.

This makes the game fair because situations that have an expected value of 0 are considered fair because there are no expected losses or profits.

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Answer:

A,C,D

Step-by-step explanation:

short and simple for you ;)

Answer:

0.2584

Step-by-step explanation:

First off 10 to the 5th power is 10 x 5 = 50, so 12.92 / 50 is 0.2584.

Answer:

  65.8

Step-by-step explanation:

The Law of Sines can be used to find side values from angles when a side and its opposite angle are given.

__

The relation is ...

  a/sin(A) = b/sin(B)

Solving for 'a' gives ...

  a = b·sin(A)/sin(B) = 100·sin(18°)/sin(28°)

  a ≈ 65.8

Answer:

5,790.0425

Step-by-step explanation:

Answer:

[tex] {(2n + 1)}^{2} = 4 {n}^{2} + 4n + 1 = 2(2 {n}^{2} + 2n) + 1[/tex]

Answer:

19.77 ft

Step-by-step explanation:

The ladder is the hypotenuse of a right triangle ....one leg is the house , the other leg is the ground.

sin 64  = opposite/hypotenuse = height /22

sin 64 = height / 22

22 * sin 64 = height = 19.77 ft

The normal distribution is also known as the Gaussian distribution. The mean of this test is 37.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

On a test that has a normal distribution, a score of 29 falls two standard deviations below the mean, and a score of 49 falls three standard deviations above the mean. Therefore, we can write,

μ - 2σ = 29

μ + 3σ = 49

By subtracting the first equation from the second, then we will get,

μ + 3σ - μ + 2σ = 49-29

5σ = 20

σ = 4

Now, substitute the value of σ in the equation,

μ - 2σ = 29

μ - 2(4) = 29

μ = 29 + 8

μ = 37

Hence, the mean of this test is 37.

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If the significance level is about 5% then the result is not statistically significant; which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.

The term significance level has to do with the probability of rejecting the null hypothesis even though it is true.

The significance level tells us if a result is statistically significant. Thus, if the significance level is about 5% then the result is not statistically significant; which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.'

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A)The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.

Did the project

Answer:

Multiplying by 3 isolates x on one side of the equation.

Step-by-step explanation:

When solving an algebraic equation, you want to isolate the variable on

one side of the equation. By isolating the variable, you can see what the

variable is equal to.

Hope it helps, have a fantastic day.