Latoya rolled a number cube 500 times and got the following results. Fill in the table below. Round your answers to the nearest thousandths

Answer:

Step-by-step explanation:

[tex]a.\\sin \theta =\frac{12}{13}\\\theta=sin ^{-1}(\frac{12}{13}) \approx 67^\circ\\b.\\cos75=\frac{x}{13}\\x=13 cos ~75 \approx 7.5 ~ft[/tex]

it forms a right angled triangle.

ladder=hypotenuse.

side of house=perpendicular.

from the base of house to the foot of ladder on the ground=base

Answer:

  the point is on the line

Step-by-step explanation:

The ordered pair gives the values of (x, y). Put those values in the equation and see if it is true:

  y = 4x -3

  17 = 4(5) -3 = 20 -3 . . . . . . for (x, y) = (5, 17)

  17 = 17 . . . . true, the point is on the line

Answer:

5.25 miles

Step-by-step explanation:

Total distance = 7 miles

Distance she rode before lunch = 3/4 of the total distance

=> 3/4 of 7

=> 21/4

=> 5.25 miles

So, she drove 5.25 miles before lunch.

Answer:

Simplifying means making (something) simpler or easier to do or understand.

Simplification in math is the process of replacing a mathematical expression by resolving it or making it shorter.

Step-by-step explanation:

hope it will help :)

Answer:

-4x=20

x=20/-4

x=-5

maybe not sure

Answer:

m = 2

Step-by-step explanation:

Given:

x = 4

y = 6m - 2

a = 8

b = 5

Required:

Value of m

SOLUTION:

x and y are segments of a chord divided when it intersects another chord that also has segments a and b.

According to the Intersecting chords theorem, [tex] a*b = x*y [/tex]

Thus:

[tex] 8*5 = 4*(6m - 2) [/tex]

Solve for m

[tex] 40 = 24m - 8 [/tex]

[tex] 40 + 8 = 24m - 8 + 8 [/tex]

[tex] 48 = 24m [/tex]

[tex] \frac{48}{24} = \frac{24m}{24} [/tex]

[tex] 2 = m [/tex]

The value of m = 2

☺ Hi ☺

Find the value of 4!.

• Let's find the value of 4! :

[tex]4! = 4 × 3 × 2 × 1 = {24}[/tex]

Answer:

what is after the plus sign

Answer:

A

Step-by-step explanation:

330 m/s=330×60 m/min=19800/1000 km/min=198 km/min=1.98×10^1 km/min

Answer: Package B is least expensive; Will save $5

Step-by-step explanation:

Package A

$200 for 5 lesson=$40/lesson

Package B

$350 for 10 lesson=$35/lesson

35<40

Package B is least expensive

-------------------------------------------------------

 40 (Package A)- 35 (Package B)

=$5

Answer:

Packages A and C.

Step-by-step explanation:

Answer:

72.2 is the correct answer

Step-by-step explanation:

Answer:

(-4,0)

Step-by-step explanation:

Hello, we need to find the points so that f(x)=0 as this is the intersection between y = f(x) and y = 0.

[tex](x+4)^2=0<=> x+4=0<=> x =-4[/tex]

Thank you

Answer:

x = 25°

Step-by-step explanation:

The secant- secant angle DGB is half the difference of the intercepted arcs, that is

[tex]\frac{1}{2}[/tex] ( BD - FE) = 55

[tex]\frac{1}{2}[/tex](135 - x) = 55 ( multiply both sides by 2 )

135 - x = 110 ( subtract 135 from both sides )

- x = -25 ( multiply both sides by - 1 )

x = 25°

Answer:

the radius is halfway across the circle, while diameter is all the way across. for reference, a three mile radius would be equivalent to 52.8 football fields

Step-by-step explanation:

Answer:  8/13

Step-by-step explanation:

There are 52 cards in a deck.

26 cards are black -->  P(Black) = 26/52

Face cards are J, Q, K.  There are 12 face cards -->  P(Face) = 12/52

6 Face cards are black --> P(both) = 6/52

Face card     or      Black card     -    both Face card & Black

      [tex]\dfrac{26}{52}[/tex]             +            [tex]\dfrac{12}{52}[/tex]            -            [tex]\dfrac{6}{52}[/tex]                             [tex]=\dfrac{32}{52}[/tex]

[tex]\dfrac{32}{52}\div \dfrac{4}{4}=\dfrac{8}{13}[/tex]

Answer: 0.4419

Step-by-step explanation:

Given: The birth weights of full-term newborn infants in the U.S. have an approximately normal distribution with a mean weight of 6.8 lbs and a standard deviation of 1.7.

i.e. [tex]\mu=6.8\ \ \ \text{ and }\sigma= 1.7[/tex]

Let X denotes the birth weight.

Then, the proportion of newborn babies will have a birth weight between 6 lbs and 8 lbs is given by :-

[tex]P(6<X<8)=P(\dfrac{6-6.8}{1.7}<\dfrac{X-\mu}{\sigma}<\dfrac{8-6.8}{1.7})\\\\=P(-0.47<Z<0.71)\ \ \ [Z=\dfrac{X-\mu}{\sigma}] \\\\=P(Z<0.71)-(1-P(Z-0.47))\\\\=0.7611-(1-0.6808)\ \ \ [\text{By z-table}]\\\\= 0.4419[/tex]

Hence, the proportion of newborn babies will have a birth weight between 6 lbs and 8 lbs is 0.4419 .

Option d for question 4 should be:

d.)Marcia is not correct. According to the distance formula, the distance should be D=√(17-17)^2+(3-(-5))^2=8

Answer:

1. (b)  a^2+b^2=c^2

3. (a) 5

4. (d) Marcia is not correct. According to the distance formula, the distance should be D=√(17-17)^2+(3-(-5))^2=8

Step-by-step explanation:

(1) From Pythagoras' theorem, the square of the hypotenuse side of a given right-angled triangle, is equal to the sum of the squares of the other two sides. Now, if the other two sides are a and b, and the hypotenuse is c, then using this theorem, the following holds:

c² = a² + b²

(2) The distance D, between two points (a, b) and (c, d) is given by;

D = √(a-c)² + (b-d)²        ----------------(i)

From the question, the points given are (9, -7) and (5, -4):

This means that;

a = 9

b = -7

c = 5

d = -4

Substitute these values into equation (i) and get;

D = √(9-5)² + (-7- (-4))²

D = √(4)² + (-3)²

D = √16 + 9

D = √25

D = 5

Therefore, the distance between these points is 5 units

(4) As explained in question 3 above, Maria is not correct. To find the distance between two points, we use the relation shown in the answer to question 3 above. i.e

D = √(a-c)² + (b-d)²

Since the given points are (17, 3) and (17, -5), it implies that;

a = 17

b = 3

c = 17

d = -5

D = √(17-17)² + (3-(-5))²

D = √(0)² + (8)²

D = √8²

D = 8

Answer:

7^-3+5 (5 goes up and becomes+5)

so ans is 7^2

Answer:

[tex] \frac{ {7}^{ - 3} }{ {7}^{ - 5} } = {7}^{ - 3 + 5} = {7}^{2} [/tex]

Answer:

Compared to the first cube, the total surface are of the second cube is 16 times larger.

Step-by-step explanation:

The first cube has L*L*6=6L²

The second cube has 4L*4L*6=14L²*6=84L²

Compared to the first cube, the total surface are of the second cube is 16 times larger.  (6*16=84)

A rational number can be made by dividing two integers.

An irrational number cannot be made by dividing two integers.

1.3 is rational

36 is rational

2/3 is rational

Pi is not rational

Answer:

(x)n+4

Step-by-step explanation:

x=quantity multiplied by n for a product

n=a number

+4=4 more than the number

HOPE THIS HELPS!!!!!! :)

<3333333333

Answer:

9:15 am

Step-by-step explanation:

First you know the speed and you know the distance.

So now we have to find the time it took for him to get to school(ignore the waiting time first)

time=10/4=2.5h

now we add the waiting time,

2.5h+0.25h(15minutes is the same as 0.25h)=2.75h

convert 0.75h to minuts,

0.75*60=45minutes

6.30+2.45=9.15am

The boy arrived at school at 8:15 am after cycling for 2.5 hours and waiting for 15 minutes.

Given Distance from the boy's house to school = 10 km

Cycling speed = 4 km/h

Time spent waiting for his friend = 15 minutes

Now calculate the time it took for the boy to cycle the distance from his house to the meeting point, excluding the waiting time.

Distance = Speed × Time

10 km = 4 km/h × Time

Time = 10 km / 4 km/h

Time = 2.5 hours

Now, we need to convert the waiting time from minutes to hours, so we can add it to the cycling time.

Waiting time = 15 minutes / 60 minutes/hour

Waiting time = 0.25 hours

Add the cycling time and waiting time to determine the total time it took for the boy to reach school.

Total time = Cycling time + Waiting time

= 2.5 hours + 0.25 hours

=2.75 hours

We need to determine the arrival time by adding the total time to the departure time.

Arrival time = Departure time + Total time

Arrival time = 6.30 am + 2.75 hours

To calculate the arrival time, we need to consider the minutes and hours separately:

Minutes: 30 minutes + (0.75 hours × 60 minutes/hour)

= 30 minutes + 45 minutes

= 75 minutes

Since 75 minutes is more than an hour, we need to adjust the hours and minutes accordingly.

Adding the hours: 6 + 2 = 8

So, the boy arrived at school at 8:15 am.

Therefore, the boy arrived at school at 8:15 am.

To learn more on Distance click:

https://brainly.com/question/15172156

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Answer:

[tex]\Large \boxed{\mathrm{D) \ \triangle ABC \sim \triangle FHG }}[/tex]

Step-by-step explanation:

The two triangles are similar.

The corresponding sides are proportional.

AB ∼ FH

[tex]\displaystyle \frac{72}{12} =6[/tex]

AC ∼ FG

[tex]\displaystyle \frac{48}{8} =6[/tex]

BC ∼ GH

[tex]\displaystyle \frac{84}{14} =6[/tex]

Answer:

= 2i / 5

Step-by-step explanation:

4 / 10 i

= 2² / (2 * 5) i

= 2i / 5

Answer:

2i / 5 is the answer.

Answer:

............... 3 6/8

Answer:

y = -1x - 6

Step-by-step explanation:

Hi!

The format of the equation of a line is y = mx + b

m is the slope and b is the y-intercept

We just need to substitute in the values you gave for the variables and we get the answer,

Answer:

(a) The new angle the ladder makes with the ground = 32.66°

(b) The distance the ladder slipped back on the ground from it's original position = 5 m

Step-by-step explanation:

The given parameters are;

The length of the ladder = 10 m

Angle of inclination of the ladder = 70°

Length to which the ladder slips down the wall = 4 m

(a) The height of the wall adjacent to the ladder = 10×sin(70°) ≈ 9.4 m

The new height of the wall adjacent to the ladder after the ladder slips down 4 m = 9.4 - 4 = 5.4 m

Therefore, the new angle of inclination of the ladder = sin⁻¹(5.4/10) = 32.66°

The new angle the ladder makes with the ground = 32.66°

(b) The distance the ladder slipped back on the ground from its original position is found as follows

The initial distance of the base of the ladder from the wall  = 10 × cos(70°) = 3.42 m

The distance of the base of the ladder from the wall after slipping 4 m down the wall = 10 × cos(32.66°)  ≈ 8.42 m.

Therefore, the amount by which the ladder slip back on the ground from its original position = 8.42 - 3.42 = 5 m.

The distance the ladder slipped back on the ground from it's original position = 5 m.

GIVEN:

TO FIND:

ANSWER:

Firstly let us assume ,

Now the equⁿ s becomes ,

=> p - q = 4 . ........(1)

Also , given that:

=> 1/x² - 1/y² = 3/16.

=> p² - q² = 3/16.

=> (p+q)(p-q) = 3/16.

From (1),

=> 4 (p+q) = 13/16.

=> (p+q) = 13/16 × 1/4.

=> p+ q = 13/64.

On adding (1) and (2) ,

=> 2p = 4 + 13/64.

=> 2p = 256+13/64.

=> p = 269/64 × 1/2.

=> p = 269/128.

Now lets find q ,

=> q = 13/64 - 269/128.

=> q = 26-269/128.

=> q = -243/128.

Hence

.°. x = 128/269 , y = -128/243

Answer:

  9^18

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)^c = a^(bc)

__

  [tex](9^3)^6=9^{3\cdot 6}=\boxed{9^{18}}[/tex]