Math question down below

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)

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

Answer:

Step-by-step explanation:

1200

We have been given image of circle that passes through point [tex](-7,-7)[/tex]. We are asked to find the radius of the circle.

First of all, we will find the center of the circle.

We can see that center of circle is at point [tex](-2,-1)[/tex].

Now we will use equation of circle to find radius.

[tex](x-h)^2+(y-k)^2=r^2[/tex], where, point (h,k) represents center of circle and r represents radius of circle.

Now we will substitute the coordinates of point [tex](-7,-7)[/tex] and coordinates of center [tex](-2,-1)[/tex] and solve for r as:

[tex](-7+2)^2+(-7+1)^2=r^2[/tex]

[tex](-5)^2+(-6)^2=r^2[/tex]

[tex]25+36=r^2[/tex]

[tex]61=r^2[/tex]

Switch sides:

[tex]r^2=61[/tex]

Now we will take positive square root on both sides:

[tex]\sqrt{r^2}=\sqrt{61}[/tex]

[tex]r=\sqrt{61}[/tex]

Therefore, radius of circle will be [tex]\sqrt{61}[/tex] and center is at point [tex](-2,-1)[/tex].

Answer:

3

Step-by-step explanation:

i Substituted the value ofthe variable into the equation and simplified it.

Answer:

3/4

Step-by-step explanation:

Answer:

I believe it is 3/4

Step-by-step explanation:

Simplest form right?

9/3=3

12/3=4

the answer is 5f(5)

Trust me just work it out and you will get the same

Answer:

23

Step-by-step explanation:

you take the greatest and least greatest number until only one is left.

21, 27, 29, 20, 22, 33, 23

21, 27, 29, 20, 22, 23

21, 27, 29, 22, 23

27, 29, 22, 23

27, 23

23

Answer:

560 is the area

Step-by-step explanation:

20x10 = 200 + the 30x12 = 560 comment if you need further 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:

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:

A, B, C all have one solution.

Step-by-step explanation:

1) Each equation in this question has one variable (x). This means that only one solution will be there.

2) Solve for x, you can cross out option D. When you subtract 52x from both sides, you're left with 52 = -78

Which is not true

3) Option A, if solved x = -65/68

4) Option B, x = 13/2

5) Option C, x = 5

All except D, have one solution, I don't know if it's a multiple choice answer but this is how I can help.

Answer:

The answer is A, B, and C.

Step-by-step explanation:

I got this answer on Khan Academy.

Hope this helps! :)

Answer:

60%

Step-by-step explanation:

21/35 = x/100

x = 60

Answer:

B)6 units

Step-by-step explanation:

-10-9-8-7-6-5-4-3-2-1 01234 5 6 7 8 9 10

or

-7-(-1)=-6

Distance can't be a negative so the answer is 6.

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

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:

90%

Step-by-step explanation:

9/10 = 90/100

the answer to the equation is 90

Answer:

B and E

Step-by-step explanation:

Subtract the area of the rug from the bedroom floor.

Answer:

E

Step-by-step explanation:

Area of the floor that is not covered = Area of floor - area of rug

= 19 *19 - 5*8

= 361 - 40

= 321 Sq.ft

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:

the posbilities is an hour

Step-by-step explanation:

30  + 30 mins = 1 hour

Answer:

B. 1.2, 1.234, 1.237, 1.48, 2.01

Step-by-step explanation:

Answer:

8/16

Step-by-step explanation:

there are 16 sides on the dice and there is only 8 number that are less than 9 so that makes it 8/16:)

Answer: There is a 8/16 chance of getting a number under 9.

Explanation: There is a total of 16 sides on the die. If you look at the die numbers 1, 2, 3, 4, 5, 6, 7, and, 8 are all numbers under 9. Which explains how there are 8 sides. Meaning 8 numbers are 8 sides and 16 total numbers are 16 total sides. Therefore the answer is 8/16.

Answer:

B

Step-by-step explanation:

Monthly net income = 30300/12 = $2525

Total monthly expenses = 1230+780+160 = $2170

Surplus = 2525 - 2170 = $355

The value of the cash flow will be $355 which is surplus. Then the correct option is B.

The cash balance of liquid assets coming into and going out of a business is referred to as cash flow. Money spent and money received reflect inflows and outflows, respectively.

The cash flow is the difference between outflow and inflow.

Cash flow = outflow - inflow

If the value of the cash flow is negative that means the expense is more.

If the value of the cash flow is positive that means the income is more.

Every month, Daniel spending plans $1230 for fixed costs, $780 for everyday costs, and $160 for yearly costs. His yearly overall gain is $30,300.

Then the Cash flow is calculated as,

Cash flow = ($30,300 / 12) - ($1,230 + $780 + $160)

Cash flow = $2,525 - $2,170

Cash flow = $355

The value of the cash flow will be $355 which is surplus. Then the correct option is B.

More about the cash flow link is given below.

https://brainly.com/question/10714011

#SPJ2

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

Step-by-step explanation:

r = onion rings amount

s = sliders amount

system of equations

2s = r

r(70) + s(200) = 1020

(for deltamath)

This question is based on the system of equations. Therefore, the system  of equations 2s = r and r(70) + s(200) = 1020 are  that could be used to determine the number of onion rings in the combination meal and the number of sliders in the combination meal.

Given:

At a particular restaurant, each onion ring has 70 calories and each slider has 200 calories. A combination meal with onion rings and sliders is shown to have 1020 total calories and twice as many onion rings as there are sliders.

According to the question,

Let the amount of onion rings be r and the amount of sliders be s.

Now, it is provided in question that, amount of sliders is twice as the onion rings. In mathematically expressed as,

⇒ 2s = r is the first system of equation.

Then, it is also give that, each onion ring has 70 calories and each slider has 200 calories. A combination meal with onion rings and sliders is shown to have 1020 total calories. This representing as,

⇒ r(70) + s(200) = 1020 is the second system of equation.

Therefore, the system  of equations 2s = r and r(70) + s(200) = 1020 are  that could be used to determine the number of onion rings in the combination meal and the number of sliders in the combination meal.

For further details, prefer this link:

https://brainly.com/question/24065247

Answer:

D) $1,209.00

The maximum FUTA deductions for the first quarter = $1,209.00

Step-by-step explanation:

The Federal Unemployment Tax Act (FUTA) is a tax which employers who pay their employees must pay in order to fund the state unemployment agencies. This tax is only payable on the first $1,500 to $7,000 on each emoloyees wage in a single quarter.

The FUTA current rate is 6.2%

Given that,

Employee 1 earned $5,500 in quarter 1.

Employee 2 earned $7,500 in quarter 1.

Employee 3 earned $8,000 in quarter 1.

Employee 2 and employee 3 would only be charged for their first $7,000 since they earned more than $7,000.

Therefore, the maximum FUTA deductions for the first quarter would be calculated as:

(0.062 * 5,500)+(0.062 * 7,000) + (0.062 * 7,000)

= $341 + $434 + $434

= $1,209

The maximum FUTA deductions for the first quarter = $1,209.00

Answer:

x = -8

Step-by-step explanation:

3x + 2 = 2x - 6

Answer:x = -8

Step-by-step explanation:

Answer:

9 c^7

Step-by-step explanation:

Answer:

27c^2-4

Step-by-step explanation:

27c to the 2nd power minus 4