During a figure skating routine, Jackie and Peter skate apart with and angle of 15 degrees between them. Jackie skates for 5 meters, and Peter skates for 7. How far apart are the skaters?

Answer: its A

Step-by-step explanation:i did the test

Answer:

Its A

Step-by-step explanation:

thx byye

x=3

Step-by-step explanation:

five time three is fifteen minus three is twelve.

x=3 is the solution to the equation 5x - 3 = 12.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

To solve for x in equation 5x - 3 = 12, we need to isolate x on one side of the equation.

First, we can add 3 to both sides of the equation:

5x - 3 + 3 = 12 + 3

Simplifying the left-hand side:

5x = 15

Next, we can divide both sides of the equation by 5:

5x/5 = 15/5

Simplifying the left-hand side:

x = 3

Therefore, the solution to the equation 5x - 3 = 12 is x = 3.

Learn more about algebraic Expression here:

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Answer:

The length of ST to the nearest tenth of a foot is 5.2 ft

Step-by-step explanation:

Here we have

∡T = 90°

∡R = 64°

RS = 5.8 ft

To answer the question, we have apply sine rule as follows;

[tex]\frac{a}{Sin\alpha } = \frac{b}{sin\beta } = \frac{c}{sin\gamma}[/tex]

Therefore, for triangle RST, we will have;

[tex]\frac{RS}{SinT } = \frac{ST}{sinR } = \frac{RT}{sinS}[/tex]

Therefore;

[tex]\frac{5.8}{Sin90 } = \frac{ST}{sin64 }[/tex] from which

[tex]{ST}{ } = \frac{5.8 \times sin64}{Sin90 } = 5.213 \, ft[/tex]

Therefore, the length of ST to the nearest tenth of a foot = 5.2 ft.

Answer: 53 degrees

Step-by-step explanation:

Answer:

Radius = 7cm

Diameter = 14cm

Step-by-step explanation:

Radius is a straight line that connects the center of a circle to a point on the circumference (outside of the circle).

Diameter is a straight line that goes through the center of a circle and connects two points on the circumference (outside of the circle).

The line shown goes across the entire circle, so it is the diameter

Diameter = 14 m

The radius of a circle is half the length of the diameter.

r = [tex]\frac{d}{2}[/tex]

r = [tex]\frac{14}{2}[/tex]

r = 7 cm

This is why the radius is 7cm, and the diameter is 14cm.

Hope this helped!

Answer:

sssssssss

Step-by-step explanation:

Given,

Keesha bought = x binder.

Let Keesha bought (11-x) notebook.

Total money spent = $45

Cost of each binder = $ 6

Cost of each notebook = $ 2.50

Now,

Equation

$ 6 × x + $ 2.50 × (11-x) = $ 45

$ 6 x + $27.5 - $ 2.50 x= $ 45

$ 3.50 x = $ 17.5

x = 5

Number of binder = 5.

Number of cover = 11-5 = 6.

Final answer:

The two equations to determine the number of binders (b) and notebooks (n) Keesha purchased are: b + n = 11 and 6b + 2.50n = 45. These equations are based on the total number of items and the total cost of the items.

Explanation:

To determine the number of binders and notebooks Keesha purchased, we need to set up two equations based on the given information. The first equation will represent the total number of items purchased, and the second will represent the total cost of those items.

Equation 1 (total number of items):
b + n = 11

Equation 2 (total cost):
$6 × b + $2.50 × n = $45

In the above equations, b represents the number of binders and n represents the number of notebooks. These two equations can be used to solve for the variables b and n using methods such as substitution or elimination.

Answer:

11

Step-by-step explanation:

-8 is 8 spaces away from 0 and 3 is 3 spaces away from zero so you add 8 and 3 and get 11.

Answer: each movie costs $6.80, each game costs $29.7

Step-by-step explanation:

First to find the movie cost i divided 34/5, and it gave me an answer of 6.80, then i multiplied 6.80 by 2 because it said you bought 2 movies along with 2 video games, 6.80 times 2 is 13.6. afterwards i subtracted, 73-13.6, my answer was 59.4, later i divided that by 2, and each game is $29.7, and each movie is $6.80

Coordinate of P, after the sequence of transformation is

(-1.25, -1)

How to find the coordinate of P

To find the coordinate of P we first establish that P is in corresponding position with A

Coordinate of A is (-5, 4)

Dilation by 0.25 will result to (-5 * 0.25, 4 * 0.25) → (-1.25, 1)

Reflection over the x-axis is done as follows

(-1.25, 1) → (-1.25, -1)

Answer:

1. tan A= 1.6643

A = tan^-1(1.6643)

A = 59° , 239°

2. sin A= 0.8480

A = sin^-1(0.8480)

A = 58°, 122°

3. cos A= 0.3420

A = cos^-1(0.342)

A = 1° , 359°

4. cos U= 0.4695​

U = cos^-1(0.4695)

U = 62°, 298°

Answer:

Please see the attached pictures for the full solution.

Answer:

YOUR WRONG 27 IS NOT 45%

Step-by-step explanation:

[tex]\frac{27}{100}[/tex]=27%

100%=1 whole

Answer:

It is 60

Step-by-step explanation:

A better way to rephrase the problem is:

"what is 100 percent of something if 27 is 45% of something. ?"

so

100% * X  = ?

given:   27 = 45% * X

Solve for X,

27/ 45% = X

X = 27 / 0.45 = 60

so.  100% * X = 100% * 60 = 1 * 60 = 60

Answer:

Step-by-step explanation:

We

I had to give u a screenshot...here u go.

Answer:

Part 1) 12, 31, 9, 20, 36, 5, 22

Sort the data:

5, 9, 12, 20, 22, 31, 36

Median: 20

First Quartile: 9

Third Quartile: 31

IQR: 31 - 9 = 22

and

Part 2) 63, 68, 58, 77, 50, 49, 63, 73

Sort the data:

49, 50, 58, 63, 63, 68, 73, 77

Median: (63÷63)/2 = 63

First Quartile: (50+58)/2 = 54

Third Quartile: (68+73)/2 = 70.5

IQR: 70.5 - 54 = 16.5

Answer:

462 to the nearest hundred is 500

So your answer is 500

Step-by-step explanation:

Mark as brainliest please

Answer:

500

Step-by-step explanation:

Answer:

Team A-

Modes are alike numbers.

Team A had two 48s

Team B had two 32s

and Team C had three 45s

48 is the highest number

Step-by-step explanation:

i answerd it right on e d g e n u i t y

Answer:

224

Step-by-step explanation:

[tex]A = P[/tex] [tex]\frac{l}{2}[/tex]﹣[tex]l^{2}[/tex] = [tex]78[/tex] · [tex]\frac{32}{2}[/tex]﹣[tex]32^{2}[/tex] [tex]= 224[/tex]

Answer:

308.4miles

Step-by-step explanation:

Given that radius of earth= 4000miles

Change in latitude = 39° 8' 46" - 34° 43'41"

= 4° 25' 5"

= 4+25/60+5/3600

4+0.4166+0.00138

θ = 4.417°

Converting to radian = 4.417°×π÷180

= 4.417×0.0174

= 0.07710

Distance between the cities = rθ

S = 4000×0.07710

S= 308.4miles

Final answer:

The distance between Cincinnati, Ohio and Huntsville, Alabama is calculated by first converting their latitudes to radians, finding the difference, and then using the arc length formula on a sphere (assuming both cities are on the same longitude). The estimated distance is approximately 308 miles.

Explanation:

The question is asking to calculate the distance between Cincinnati, Ohio and Huntsville, Alabama, assuming the Earth is a sphere with a radius of 4000 miles and that both cities are on the same longitude. To calculate the distance, we first convert the latitudinal degrees to radians and then use the formula for arc length on a sphere, which is:

Arc Length = radius times (latitude1 - latitude2)

Firstly, convert the latitudes from degrees, minutes, and seconds to decimal degrees:

Then, convert the decimal degrees to radians:

Calculate the difference in latitude in radians:

Difference in latitude = 0.6832 rad - 0.6062 rad = 0.077 rad

Finally, use the arc length formula:

Arc length = 4000 miles times 0.077 rad = 308 miles

Therefore, the distance between Cincinnati, Ohio, and Huntsville, Alabama, is approximately 308 miles.

Answer: $1500 was invested in the account earning 8%.

$3300 was invested in the account earning 12.5%.

$1850 was was invested in the account earning 7.5%.

Step-by-step explanation:

Let x represent the amount invested in the account earning 8%.

Let y represent the amount invested in the account earning 12.5%.

Let z represent the amount invested in the account earning 7.5%.

Penelope invested $6650 into theee investment accounts, earning 8%, 12.5%, and 7.5% simple interest per year. It means that

x + y + z = 6650- - - - - - - - - - -1

Interest earned from the $x investment is

8/100 × x = 0.08x

Interest earned from the $y investment is

12.5/100 × x = 0.125y

Interest earned from the $z investment is

7.5/100 × x = 0.075z

If the annual interest earned totaled $671.25, it means that

0.08x + 0.125y + 0.075z = 671.25- - - - - - - 2

The amount invested at 12.5% was $300 more than twice the amount invested at 8%. It means that

y = 2x + 300

Substituting y = 2x + 300 into equation 1 and equation 2, it becomes

x + 2x + 300 + z = 6650

3x + z = 6650 - 300

3x + z = 6350- - - - - - - - - 4

0.08x + 0.125(2x + 300) + 0.075z = 671.25

0.08x + 0.25x + 37.5 + 0.075z = 671.25

0.33x + 0.075z = 671.25 - 37.5

0.33x + 0.075z = 633.75- - - - - - - 5

From equation 4, z = 6350 - 3x

Substituting z = 6350 - 3x into equation 5, it becomes

0.33x + 0.075(6350 - 3x) = 633.75

0.33x + 476.25 - 0.225x = 633.75

0.33x - 0.225x = 633.75 - 476.25

0.105x = 157.5

x = 157.5/0.105

x = 1500

y = 2x + 300

y = 2(1500) + 300

y = 3300

Substituting x = 1500 and y = 3300 into equation 1, it becomes

1500 + 3300 + z = 6650

z = 6650 - 4800

z = 1850

Answer:

3927 cm² wrapping paper will be required.

Step-by-step explanation:

Lateral surface area of a cone shaped wrapper = πrl

where, r = radius of the waffle cone

and l = slant height of the cone

It has been given in the question, radius 'r' = 5cm

and lateral height 'l' = 10 cm

Lateral surface area of the cone = π(5)(10)

                                                      = 50π

                                                      = 157.08 cm²

If they plan to make 25 waffles then wrapper paper required

= 25×157.08

= 3927 cm²

Therefore, 3927 cm² wrapping paper will be required.

Answer:

y = 5x + 4

Step-by-step explanation:

The slope always goes before the x and your y-intercept is plus or minus depending on weather it is positive or negative. Your parent function or standard equations) is y = mx + b, so just plug your variable into there.

Answer: The answer to this question is 1256.6

Answer:

1256.6

Step-by-step explanation:

Answer: it will cost 63

Step-by-step explanation:

Since 5 times 9 is 45, I’ve assumed that the tickets cost 9 dollars, hence 7 times 9 equals 63

Answer:

140 inches

Step-by-step explanation:

The formula for volume or a rectangular prism is v=lwh

Length = 14

Width= 10

Height= 1

Multiplying them together gives you the volume which is 140

Answer: 7 glasses

Step-by-step explanation:

Hi, to answer this question, first, we have to subtract the amount of juice poured (1/8) to the amount of remaining juice before he poured some (1).

1-1/8 = 7/8 remaining juice

Since he pours the same amount into more glasses until the pitcher is empty, we have to divide the remaining juice (7/8) by the amount poured in each glass (1/8).

7/8 ÷ 1/8 = 7 glasses

Feel free to ask for more if needed or if you did not understand something.

The value of x is 18

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \: \frac{80}{80 + 2x} = \frac{60}{60 + 27} \\ \: \: \: \: \: \: \: \: \frac{80}{80 + 2x} = \frac{60}{87} \\ \: 60(80 + 2x) = 80 \times 87 \\ 4800 + 120x = 6960 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 120x = 6960 - 4800 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 120x = 2160 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{2160}{120} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 18[/tex]

So, the value of x is 18

Hope it helpful and useful :)

Answer:

19.66 or 19.7 units

Step-by-step explanation:

[tex]sin \: 24 \degree = \frac{8}{x} \\ \\ 0.4067366431 = \frac{8}{x} \\ \\ x = \frac{8}{0.4067366431} \\ x = 19.6687467 \\ x \approx 19.7 \: units \\ [/tex]

Answer:

A= 125$ B=134

Step-by-step explanation:

Answer:

(i) 96

(ii) k = 13

Step-by-step explanation:

(i)

numbers averaged x Average of the numbers = Total of all of the numbers

8 x 12 = 96

(ii)

6 + 8 + 5 + 10 + 28 + 3k = 8 x 12

57 + 3k = 96

3k = 39

k = 13