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Anuta_ua [19.1K]
2 years ago
11

Please help me with these two problems, and I would also like a clear explanation. Thank you!

Mathematics
1 answer:
LiRa [457]2 years ago
3 0

Step-by-step explanation:

add all those parthesis before the 3 dots then all those after the3 dots then add the answers I think pretty sure haven't done it in awhile

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The arcade has a floor that is 120 feet by 75 feet. A scale drawing of the floor on grid paper uses a scale of 1 in: 5. Feet. Wh
ArbitrLikvidat [17]

Answer:

2 feet by 1.25 feet

Step-by-step explanation:

The arcade floor has dimensions 120 ft by 75 ft.

The scale of the drawing on grid paper is 1 in : 5 feet. This is a reduced scale. This means that the size of the arcade floor was reduced in the drawing.

Let us simply the ratio 1 in : 5 feet.

1 foot = 12 inches

=> 5 feet =  5 * 12 = 60 inches

The ratio can be rewritten as 1 in : 60 in = 1 : 60.

Hence, multiply the individual dimensions of the arcade floor by \frac{1}{60}.

120 feet will be:

120 *  \frac{1}{60} = 2 feet

75 feet will be:

75 *  \frac{1}{60} = 1.25 feet

Therefore, the dimensions of the scale drawing are 2 feet by 1.25 feet.

7 0
3 years ago
To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that
MakcuM [25]

Answer:

2 sides and angle between them are congruent to the same 2 sides and angle on the other triangle

Step-by-step explanation:

6 0
1 year ago
Tell me the anwser and explain it
lina2011 [118]

Hi there!

If KLM is an isosceles triangle, then KM = LM.

4d - 13 = 12 - d

Solve for d. Add 'd' to both sides:

5d - 13 = 12

Add 13 to both sides:

5d = 25

Divide both sides by 5:

<u>d = 5 units.</u>

3 0
2 years ago
A car travels at 60 miles per hour. If d is the distance traveled and t is the time in hours:
erastovalidia [21]

Answer:

Step-by-step explanation:

first we will break the parts of the question down:

d= distance

t= time

function: d=t(60)

the <em>independent </em>variable is t, time, because the (distance) that the car travels <u>depends  </u> on how long the car has been traveling for (time) meaning that the dependent value is distance.

A table we can create with 5 coordinate pairs is:

(time)        (distance)

1 hr            60miles

2 hr           120 miles

3 hr          180 miles

4 hr            240 miles

5 hr           300 miles

(to graph the coordinate pairs, you can graph the points listed in the table. the time value represents the x value since it is the independent variable, and the y value will be the distance values since it is dependent.)

<u />

8 0
3 years ago
The probability that a randomly selected elementary or secondary school teacher from a city is a female is , holds a second job
julsineya [31]

Answer:

The probability that an elementary or secondary school teacher selected at random from this city is a female or holds a second job is 0.90.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = an elementary or secondary school teacher from a city is a female

<em>Y</em> = an elementary or secondary school teacher holds a second job

The information provided is:

P (X) = 0.66

P (Y) = 0.46

P (X ∩ Y) = 0.22

The addition rule of probability is:

P(A\cup B)=P(A)+P(B)-P(A\cap B)

Use this formula to compute the probability that an elementary or secondary school teacher selected at random from this city is a female or holds a second job as follows:

P(X\cup Y)=P(X)+P(Y)-P(X\cap Y)\\=0.46+0.66-0.22\\=0.90

Thus, the probability that an elementary or secondary school teacher selected at random from this city is a female or holds a second job is 0.90.

4 0
3 years ago
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