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Ede4ka [16]
3 years ago
6

CITIES: The distance between New York City, New York, and Boston, Massachusetts, is 187 miles, and the distance between New York

City and
Hartford, Connecticut, is 97 miles. Hartford, Boston, and New York City form a triangle on a map. What must the distance between Boston and
Hartford be greater than?
Mathematics
1 answer:
masya89 [10]3 years ago
6 0

Answer:

Greater than 90 miles

Step-by-step explanation:

Use the triangle inequality theorem, since the cities form a triangle.

This theorem states that the sum of any 2 sides of a triangle has to be greater than the length of the third side.

We can find what the length of the third side has to be greater than by subtracting 97 from 187:

187 - 97

= 90

So, the distance has to be greater than 90 miles.

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Denise and Donna want to exchange secrets from across a crowded whispering gallery. Recall that a whispering gallery is a room w
Yuri [45]

Answer:

34 feet

Step-by-step explanation:

From the question, we are told that:

If the room is 30 feet high at the center and 90 feet wide at the floor,

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a = 90/2 = 45

Height of the room = b = 30 feet

Foci (c)² = a² - b²

c = √a² - b²

c = √45² - 30²

c = √1125

c = 33.541019662 feet

Approximately to the nearest whole number = 34 feet

Denise and Donna should each stand 34 ft from the outer wall so that they will be positioned at the foci of the ellipse

7 0
3 years ago
Can you please help me?​
Musya8 [376]

Answer:

Option (a)

Step-by-step explanation:

Slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

Slope (m) = \frac{y_2-y_1}{x_2-x_1}

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m = \frac{3-3}{6+4}

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In other words, slope of any line parallel to x-axis is zero.

Therefore, Option (a) is the answer.

6 0
2 years ago
Which ordered pairs make both inequalities true?
Arlecino [84]

Answer:

(0,-2) and (1, 1)

Step-by-step explanation:

7 0
3 years ago
Elaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 in wide 12 in long and 5 cm deep. ( 1 g
padilas [110]

Answer:

b. The paint will not fill the tray by 5.22 in3.

Step-by-step explanation:

The computation is shown below:

First we have to determine the volume of tray by using the following equation

V = L \times W \times H

Now transform this from dimensions to inches

Now  putting the values,

V = 10\times12\times (5\times(\frac{1}{2.54})) \\\\As\ 5 cm = 5 \times (\frac{1}{2.54})

the volume would be equivalent to the

236.22 inches^3

Now 1 gallon is 231 inches^3

So, the remaining would be

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Therefore the correct option is b.

Hence, all the other options are wrong

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3 years ago
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mixer [17]
This is not an exponential function. This is a linear function.
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