Emily jogged 8 miles due north, then turned east and jogged 15 miles. How many miles is
she from her starting point?

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex]m = -\frac{1}{2}[/tex]

[tex](x_1,y_1) = (-1,2)[/tex]

Required

Graph the line

First, is to determine the equation of the line using:

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

So:

[tex]-\frac{1}{2} = \frac{y - 2}{x - -1}[/tex]

[tex]-\frac{1}{2} = \frac{y - 2}{x +1}[/tex]

[tex]\frac{-1}{2} = \frac{y - 2}{x +1}[/tex]

Cross multiply:

[tex](y -2) * 2 = -1 * (x + 1)[/tex]

[tex](y -2) * 2 = -x -1[/tex]

Solve for y - 2

[tex]y -2 = -\frac{x}{2} -\frac{1}{2}[/tex]

Solve for y

[tex]y = -\frac{x}{2} -\frac{1}{2} + 2[/tex]

[tex]y = -\frac{x}{2} +\frac{-1+4}{2}[/tex]

[tex]y = -\frac{x}{2} +\frac{3}{2}[/tex]

The above equation will then be plotted on the graph (See attachment)

Answer:

1 1/3 x 1/3 =234/6

Step-by-step explanation:

your mama

Answer:

7/100

Step-by-step explanation:

two decimal places so 100

Answer:

0.60

Step-by-step explanation:

Answer:

.60

Step-by-step explanation:

9514 1404 393

Answer:

  3) y = √10

  4) x = 5√2

Step-by-step explanation:

The side ratios of an isosceles right triangle (one of the "special" right triangles) are ...

  1 : 1 : √2

So, for some multiplier k, they can be made to match the sides in your triangles.

__

3) 1·k : 1·k : k√2 = √5 : √5 : y

Clearly, k = √5, so ...

  y = (√5)(√2)

  y = √10

__

4) k : k : k√2 = x : x : 10

  k = 10/√2 = (5√2)/2

  k = x = (5√2)/2

Answer:

820          

Step-by-step explanation:

Hi so if your area is 4756, the base would be 820

Answer:

D. 75

Step-by-step explanation:

The cost to buy all of the crown molding for the bedroom would be $75.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are given that bedroom and office in the diagrams below are similar rectangles and the walls on the left sides in the diagram are proportional, and the walls on the top sides in the diagram are proportional.

Since it will cost $120 to buy the materials for crown molding in the completed office. Thus Crown molding is the decorative border where , the walls meet the ceiling. It will go all the way around all four walls.

Hence, cost to buy all of the crown molding for the bedroom = $75.

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Answer:

Step-by-step explanation:

Area of ΔCAD, right triangle:

Area of the sector CAD:

Area of segment CED:

Area of ΔCBD, equilateral triangle:

Area of sector CBD:

Area of segment CFD:

Compare the areas of the segments:

Answer:

for 1 st

area of segment CAD=90/360×π×10²=78.54m²

for second

area of segmentBCD=60/360×π×12²=75.4m²

so

CAD has greater area

Answer:

1/5

Step-by-step explanation:

7 + 13 =20

20 + 5 = 25

5 is a fifth of 25

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

There are 25 socks in total, only 5 of these are green.

The proportion would look like this:

[tex]\frac{5}{25}=\frac{1}{5}[/tex]

Answer:

c -1 and 2

Step-by-step explanation:

can i have BRAINLIEST?

Answer:

23 boxes of toys are being stored.

Step-by-step explanation:

There is a fixed cost of $1200 a month for rent and a variable cost of $5 per box of toys that are stored

This means that for x boxes of toys stored, the total cost is of:

[tex]C(x) = 1200 + 5x[/tex]

If the total cost for this month was $1315, how many boxes of toys are being stored?

This is [tex]x[/tex] for which [tex]C(x) = 1315[/tex]. So

[tex]C(x) = 1200 + 5x[/tex]

[tex]1315 = 1200 + 5x[/tex]

[tex]5x = 115[/tex]

[tex]x = \frac{115}{5}[/tex]

[tex]x = 23[/tex]

23 boxes of toys are being stored.

Answer:

5

Step-by-step explanation:

5y+155=180

5y=180-155=25

y=5

5y+13x=90

13x=90-25=65

x=5°

Answer:

[tex](d)\ \beta = 2\ rad[/tex]

Step-by-step explanation:

Given

[tex]L =2[/tex] -- length of the arc

[tex]r = 1[/tex] --- radius of a unit circle

[tex]\beta =[/tex] the subtended angle

Required

Find [tex]\beta[/tex]

The length of an arc is:

[tex]L = r * \beta[/tex]

This gives:

[tex]2 = 1 * \beta[/tex]

[tex]2 = \beta[/tex]

Make [tex]\bets[/tex][tex]\beta[/tex] the subject

[tex]\beta = 2[/tex]

Hence:

[tex]\beta = 2\ rad[/tex]

Answer:

2rad

Step-by-step explanation:

the answer is 104 hope it helps

Answer:

1/3pi(16)(7)

Step-by-step explanation:

Answer:

X = 2 If the exponent 2 in the 2 does not have the x

Step-by-step explanation:

Answer:

69.08

Step-by-step explanation:

2×3.14=6.28

6.28×11=69.08

Answer:

B

Step-by-step explanation:

If the dot it open, it does not include the number. If the dot is shaded, it does include the number. Whichever way the orange line is pointing, corresponds to < or >.

Answer:

Step-by-step explanation:

The population of bacteria in the culture after 7 hours is approximately 883.

Several real-world phenomena, including population expansion, radioactive decay, compound interest, and the spread of diseases, are modeled using exponential functions. In calculus, where they are used to define the exponential and logarithmic functions—essential ideas in calculus and other fields of mathematics—they also play a significant role.

Using the formula [tex]P_t = P_0 \times 2^{\frac{t}{d}}[/tex], where P_t is the population after t hours, P₀ is the initial population, t is the time in hours and d is the doubling time, we can find the population of bacteria in the culture after 7 hours as follows:

Since the initial population is 470, we have P₀ = 470.

The doubling time is 8 hours, so we have d = 8.

Substituting these values into the formula, we get:

[tex]P_7 = 470 \times 2^{\frac{7}{8}}[/tex]

P₇≈ 882.77

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Answer:

12 gallons

Step-by-step explanation:

Answer:

x > 7

Step-by-step explanation:

-5x < -35

(Divide by 5)

-x < -7

(When dividing by a negative number, you flip the sign)

x > 7

The answer of given inequality is x > 7 .

Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.

Given,

-5x < -35

Divide by 5 in inequality

-x < -7

Multiply by (-1) in inequality [flip the sign of inequality]

So, x > 7

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Answer: the answer is 2.5 meters long

Step-by-step explanation:

Answer:

Answer:

A) Total frequency = 30

B) Yes, the distribution is consistent with the label because the frequencies are greatest when the lengths are closest to the labeled size of 1/2 inches which is 0.5 inches.

Step-by-step explanation:

Since the class limit width is 0.010 from the question, we arrive at;

Class Limits Frequency

Length(Inches)

0.470 - 0.479 3

0.480 - 0. 489 5

0.490 - 0.499 9

0.500 - 0.509 12

0.510 - 0.519 1

Following is the frequency distribution table:

The lower limit is given as 3.470 inches.

The upper limit is 3.500 inches.

And the width of each class is 0.010 inches.

Therefore, the intervals will be:

3.470-3.480

3.480-3.490

3.490-3.500

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