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Alenkasestr [34]
2 years ago
11

Alice and Amy decide to meet at a party. From a corner of the party hall, Amy spots Alice at the corner of the hall diagonally o

pposite her. If the party hall is a rectangle that measures 100 feet by 60 feet, what is the shortest distance Amy has to walk to reach Alice? Round your answer to the nearest foot..
Mathematics
2 answers:
EleoNora [17]2 years ago
8 0
Given that the hall is rectangular in shape, then the shortest path that Amy must travel to reach Alice would be through the hall's diagonal. Applying the Pythagorean theorem, with the length and width as the legs and the diagonal as the hypotenuse of the right triangle. Thus, diagonal = √ ( 100² + 60²) = √13 600 ≈ 116.62 ft The shortest distance, rounded off to the nearest foot, is 117 ft<span>. </span>
Romashka [77]2 years ago
3 0

The answer is C. 117 feet I did the test so this is correct.

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Parker is planning to build a playhouse for his sister.The scaled model below gives the reduced measures for width and height. H
kipiarov [429]

Answer:

The cross multiplication would be 10(350) = 22(x).

Step-by-step explanation:

We would first convert meters to centimeters.  There are 100 cm in a meter; this means 3.5 m = 3.5(100) = 350 cm.

The ratio of the height to base of the model is 10/22.  The ratio of the playhouse would then be x/350.  This gives us

10/22 = x/350

Cross multiplying, we would have 10(350) = 22(x).

6 0
2 years ago
Read 2 more answers
"Which of the following are continuous functions? (Select all that apply.)
Natasha2012 [34]

Answer:

  □ The temperature at a specific location as a function of time.

  □ The temperature at a specific time as a function of the distance due west from New York City.

  □ The altitude above sea level as a function of the distance due west from New York City.

Step-by-step explanation:

Temperature tends to vary continuously over distance and time.

Altitude rarely changes so abruptly we'd have to say it is a discontinuous function. Even a cliff has a (very high) defined slope.

Taxi charges tend to increment according to a rate schedule. That is, for each passing minute or fraction of a mile, the amount due jumps to a new value. We'd have to say those are discontinuous.

The nature of electrical circuits is such that current is never discontinuous. Even when the circuit is disconnected by a switch, the arcing at the switch contacts ensures the current is continuous as it rapidly goes to zero.

8 0
2 years ago
The base of a triangle measures 8 inches and the area is 136 square inches what is the height of the triangle
Mariana [72]

Answer:

34 inches

Step-by-step explanation:

Area is base times height time half

Then plug in the values: 136= 0.5 x 8x

Then solve for x

7 0
2 years ago
A triangle is such that the largest angle is 7 times the smallest angle. The third angle is 15 less than the largest angle. Find
Tcecarenko [31]

Answer:

<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>

Step-by-step explanation:

Let's recall that the interior angles of a triangle add up to 180°, therefore we have:

Smallest angle = x

Largest angle = 7x

Third angle = 7x - 15

Now, we can solve for x, using the following equation:

x + 7x + 7x - 15 = 180

15x = 180 + 15

15x = 195

x = 195/15

x = 13 ⇒ 7x = 91 ⇒ 7x - 15 = 76

<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>

8 0
2 years ago
One fourth of all telephones at the office have built in speaker phones. One -half the phones with the built-in speaker phones h
Helga [31]

Answer:

\frac{1}{8} of the phones in office has both a speaker phone and a conference-call capability

Step-by-step explanation:

Since total number of phones in the office is not given, the answer will be "in that terms".

let it be x

So built in speaker phones is (1/4)x

Hence conference call phones would be (1/2)(1/4x) = (1/8)x

Hence "1/8th of the phones in office has both a speaker phone and a conference-call capability"

7 0
2 years ago
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