"
5 ft
A
13 ft
a.
sin A=7
islam
/
A= 12,
A = 12 sec A
-
12
cos A = 132
n la
12
COS A = 13
CP
5, CSC A =
b.
sin A = , tan A = o, sec A = 1
12
sin A = 13, tan A =
12
5, sec A =
13
12
COS A = 5, cot A = 5, CSC A =
al
5
COS A = 13, cot A = 12, CSC A -

We have been given that a Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0).

We are asked to find the position of ball after 6 seconds.

We will use horizontal position and vertical position formula to solve our given problem.

Horizontal position is given by formula: [tex]x=v\cdot \text{cos}(\theta)\cdot t[/tex] and vertical position is given by formula: [tex]y=v\cdot \text{sin}(\theta)\cdot t[/tex],where,

v = Velocity,

t = Time,

[tex]\theta[/tex] = Angle to the starting line.

For our given problem [tex]v=1.6[/tex], [tex]t=6[/tex] and [tex]\theta=85^{\circ}[/tex].

[tex]x=1.8\cdot \text{cos}(85^{\circ})\cdot 6[/tex]

[tex]x=10.8 \cdot 0.087155742748[/tex]

[tex]x=0.9412820216784\approx 0.94[/tex]

[tex]y=1.8\cdot \text{sin}(85^{\circ})\cdot 6[/tex]

[tex]y=10.8\cdot 0.996194698092[/tex]

[tex]y=10.7589027\approx 10.76[/tex]

Therefore, the position of ball after 6 seconds would be [tex](0.94,10.76)[/tex].

Answer:

(0.8,9.6)

Step-by-step explanation:

x=1.6*cos85* 6=0.8

y=1.6*sin85 *6=9.6

So the right answer is of option C

Look at the attached picture

Hope it will help u ..

Answer:

13.5

Step-by-step explanation:

Answer:

124 sq cm

Step-by-step explanation:

Surface Area of the recatangles on both sides is 50 cm each so

50+50=100

and the area of the two triangles is 12 each so

12+12=24

and 100+24=124

Answer:

184cm^2

Step-by-step explanation:

SA=hp+2B

h=10

p=16

hp=160

B= 1/2bh

B=12

12x2=24

hp+2B= 24+160= 184

The numerical expression shows the amount of video games Alina has left after selling half will be (4 + 8 + 6):2. Then the expression C is correct.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Alina has been collecting video games for a year. The table below shows how many games she has received over the year.

                          Amount of video games

Birthday                             4

Holidays                            8

School trades                    6

Then the total number of the video games will be

⇒ 4 + 8 + 6

At the end of the year, she went to a store and sold half of her video games.

⇒ (4 + 8 + 6) / 2

⇒ (4 + 8 + 6) : 2

Then the expression C is correct.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

Step-by-step explanation:

But there is not a question?

Answer:

z = - 0.33

Step-by-step explanation:

Given that:

Mean (μ) = 73, standard deviation (σ) = 3.0

Z score is a measure in statistics to determine the number of standard deviation a value is above or below the mean of what is measured. If the value is above the mean it is positive but if it is below the mean it is negative. It is given by the equation:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

To calculate z-score for Umaima's exam grade, we need to calculate the z score of 72

For x = 72, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{72-73}{3} =-0.33[/tex]

z = - 0.33

Answer:

−0.33

Step-by-step explanation:

just did it oh khan

Answer:

Distance between the points (-9,2) and (-4,2):

D = sqrt[(-9 - -4)^2 + (2 - 2)^2] = 5

=> Option A is correct

Answer:

B.13

Step-by-step explanation:

In order to solve the distance between two points you need the distance formula which is -> Distance = √  (x1 - x2)^2 + (y1 - y2)^2  

-9 would be x1 and -4 would be x2(so the first numbers of both sets)

Then 2 would be y1 the other 2 would be y2(in this question they both have the same Ys)

You plug in the numbers to the formula.

Which would be:

Distance = √  (-9-4)^2 + (2-2 )^2

Start solving the first part and you will get this:-9-4=-13.Now that the inside is solved,you do the rest,you multiply what you got with the exponent.√(-13)^2=√169.

Then do the second part which is more simple.2-2=0 and when you multiply anything with a 0 is still 0 so when multiplied with the exponent,it stays the same.

You get left with the same answer of √169 and you just have to square root that which is 13.To check your answer,multiple 13*13 which you should get 169.:) Hopefully this was helpful and you understood everything I meant.

Answer:

A. √500

Step-by-step explanation:

Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.

Hence 10√5 = √500

So we're using these rules:

√a·b = √a·√b

and of course

√a² = a  (a>0)

Answer:

A -5or5

Step-by-step explanation:

|n|=5

Absolute value means take the positive value of the number

|5|=5

|-5|=5

so positive 5 and -5

Answer:

because she usually gets lower scores but her avarge is 13 because she make 30 in one game witch is an outlire

Step-by-step explanation:

if im wrong im sorry if not pls brainlyest

Answer:

6

Step-by-step explanation:

Let "a number" = x

44 = 8x - 4

Simplify. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First add 4 to both sides:

44 (+4) = 8x - 4 (+4)

44 + 4 = 8x

48 = 8x

Isolate the variable, x. Divide 8 from both sides:

(48)/8 = (8x)/8

x = 48/8

x = 6

6 is your answer.

~

Answer:The number is 6.

Step-by-step explanation:

8n - 4 =44

    +4     +4

8n =48

n=6

Answer:

45

Step-by-step explanation:

Because this is an isosceles triangle, two of the angles must be equal. Since the third angle is 90 degrees, the other two must be 90/2=45 degrees. Hope this helps!

Answer:

Okay, so for the first line, measure the distance between the start and the 0.5 miles. Then add that distance to the other side of the 0.5 miles and then put a mark.

For the second one measure the distance between the start line and the 0.25 miles and then add that distance to the other side three more times and then put a mark.

And for the last one, use the distance that you used for the second one and put it after the 0.75 mark.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

In this question the slope would be 5.

y= mx + b is the equation being used.

y = 5x -1

m = slope

Answer:

5

Step-by-step explanation:

Answer:

Area is: 1,728 inches

Perimeter is: 168 inches

Step-by-step explanation:

Area= Length times width

Perimeter= length plus length plus width plus width.

Answer:

1.728 is the perimeter. the area is 84.

Step-by-step explanation:

all you do multiply for perimeter and add for area.

Answer:

acute

Step-by-step explanation:

the largest number for the angles is 70 wich is an acute number and since the angles are all not equal its not equilateral

Answer:

it D . acute and A .scalene

Answer:

x = 10 is your answer

- Explain -

Step 1: subtract 1 from both sides (subtraction of equality)

which will give us:

2x = 21 - 1

which equals to

2x = 20

Step 2: Divide both sides by 2

which is

2x/2 = 20/2

2/2 = 1 and 20/2 = 10

Therefore the answer is x = 10

Width (7.8) x length (7.8) x width (7.8) = 474.552

Answer:

116800

Step-by-step explanation:

14600x8

166800

Answer:

b

Step-by-step explanation:

hope this helps you

Answer:

2 or more percents add up to 100% or one percent is 100%

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Divide $4.20 by 20 ounces and $6 by 30 ounces. You would get 0.21 and 0.2. So, B is the cheaper and better buy.

Answer:

A

Step-by-step explanation:

The formula for circumference is C = 2[tex]\pi[/tex]r. When plugging in these values, 2 x 3.14 x 4.5 is equal to 28.26.

Circumference of her garden is 28.26 m. So, Option 'A' is the correct answer to the following question.

What information do we have?

Radius of circular garden = 4.5 m

Circumference of her garden = circumference of circle

So,

Circumference of her garden = 2πr

Circumference of her garden = 2(3.14)(4.5)

Circumference of her garden = 28.26 m

Find out more information about 'Circumference'.

https://brainly.com/question/12512221?referrer=searchResults

Answer:

Amanda's box volume is 70 cm^3 greater than Mary's

Step-by-step explanation:

Find and then compare the volumes of the two boxes:

Amanda's:  10*10*13.5 cm^3 = 1350 cm^3

Mary's:  8*8*20 = 1280 cm^3

Amanda's box volume is 70 cm^3 greater than Mary's.

Answer:

[tex]\frac{5+-\sqrt{53} }{2}[/tex]

Step-by-step explanation:

in the equation given these are the values:

a=1   b= -5     c= -7

if we plug this in the quadratic formula [tex]\frac{-(-5)+-\sqrt{(-5)^2-4(1)(-7)} }{2(1)}[/tex]

this is simplified to [tex]\frac{5+-\sqrt{53} }{2}[/tex]

hope this helped