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NemiM [27]
2 years ago
12

2. Eliza uses the point (3, 9) to her home’s location and uses the point (6, 13) to represent the ice cream shop’s location. Eac

h unit on the graph represents 1 mi. How far her home from the ice cream shop? Show your work. Be sure to use the ordered pairs to find the distances! The y-axis scale goes by 2’s, so it can be confusing.
Mathematics
1 answer:
Elden [556K]2 years ago
7 0

Answer:

I'm gonna use the distance formula:

Distance = sqrt((x2-x1)^2 + (y2-y1)^2)

Distance = sqrt((6-3)^2 + (13-9)^2)

Distance = sqrt(3^2 + 4^2)

Distance = sqrt(9 + 16)

Distance = sqrt(25)

Distance = 5

The problem says every unit = 1 mile so 5 units = 5 miles.

Answer = 5 miles

Step-by-step explanation:

You might be interested in
Trigonometry questions
trasher [3.6K]

We'll use standard labeling of right triangle ABC, C=90 degrees, legs a, b, hypotenuse c.

11.

Right triangle, cliff peak A, boat B, angle opposite cliff is B=28.9 deg. adjacent leg a=65.7 m, cliff height is leg b.

tan B = b/a

b = a tan B = 65.7 tan 28.9° = 36.3 m

12.

Similar story, boat at B, opposite b=3.5 m, rope c=12 m

sin B = b/c

B = arcsin b/c = arcsin (3.5/12) = 17.0°

13.

c=124 m, A=58°

sin A = a/c

a = c sin A = 124 sin 58 = 105.2 m

14.

That's a hypotenuse c=4-1.2 = 2.8 m to a height b=1.8m so

cos A = b/c

A = arccos b/c = arccos (1.8/2.8) = 50.0°

15.

Not a right triangle, an isosceles triangle.  Half of it is a right triangle with hypotenuse one arm, c=9.8 cm and angle opposite half the base of B=62/2=31°.  We're after d=2b:

sin B = b/c

b = c sin B

d = 2b = 2 c sin B = 2(9.8) sin 31 = 10.1 cm

Almost equilateral


4 0
3 years ago
A survey was taken of students in math classes to find out how many hours per day students spend
Hoochie [10]

Answer:

1. Mean, because there are no outliers that affect the center

Step-by-step explanation:

Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2

Sorted values : 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4

The mean = ΣX / n

n = sample size, n = 15

Mean = 34 / 15 = 2.666

The median = 1/2(n+1)th term.

1/2(16)th term = 8th term.

The 8th term = 2

The best measure of centre is the mean because the values for the second period has no outliers that might have affected the centre of the distribution.

Both interquartile range and standard deviation are measures of spread and not measures of centre.

6 0
3 years ago
If I can paint a wall in 20 min and my friend can paint a wall in 30 min. How many minutes would it take for us to paint a wall
ra1l [238]

Answer: 12\ \text{min}

Step-by-step explanation:

Given

It takes 20 min and 30 min for  a person and his friend to paint a wall individually  i.e.

In 1 min they cover \frac{1}{20} part and \frac{1}{30} part of wall respectively.

If the work together, 1 minute work is

\Rightarrow \dfrac{1}{20}+\dfrac{1}{30}\\\\\Rightarrow \dfrac{3+2}{60}\\\\\Rightarrow \dfrac{5}{60}

Time required will be reciprocal of it

\Rightarrow \dfrac{60}{5}=12\ \text{min}

3 0
3 years ago
Your store Brown stock in 1 gallon batch is one serving of rice grains require 1.5 cups of brown stock how many servings of gree
sladkih [1.3K]

The number of servings of greens that can be made with one batch of route stock is 0.67 batches.

<h3>Conversion of gallons to cups</h3>

In order to determine the answer, the first step is to convert gallons to cups

1 gallon = 16 cups

<h3>Number of  servings of greens that can be made</h3>

The second step is to divide 16 cups by 1.5 cups.

16 / 1.5 = 10.67 batches

To learn more about division, please check: brainly.com/question/194007

3 0
2 years ago
11) Carla drives her motor scooter 1/4 mi
Marianna [84]

Answer:C) 15

Step-by-step explanation:

If she drives 1/4 mi in 2 minutes then she wouldve drive 1 mi in 8  minutes.

2 hours= 120 minutes

8/120=15

6 0
3 years ago
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