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denis-greek [22]
3 years ago
14

A rectangle is 3 times as long as it is wide. the perimeter is 60 cm. find the dimensions of the rectangle.round to the nearest

tenth if necessary.
a. 7.5 cm by 22.5 cm
b. 7.5 cm by 52.5 cm
c. 20 cm by 60 cm
d. 15 cm by 22.5 cm
Mathematics
1 answer:
My name is Ann [436]3 years ago
3 0
60 divided by 8 =7.5 (The four sides of a square and then merely add two additional lengths to two sides) Now 7.5 times 3= 22.5 which gives two sides at
22.5cm and two sides at 7.5cm total is 60cm
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Find the point that is 3/4 of the distance P (-6,-5) to the point Q (2,7)
Zarrin [17]

Using proportions, the coordinates of the point 3/4 of the way from P to Q are: (0,4).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We want to find the coordinates of point M(x,y) 3/4 of the way from P to Q, hence the rule is given by:

M - P = 3/4(Q - P)

For the x-coordinate, we have that:

x + 6 = 3/4(2 + 6)

x + 6 = 6

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For the y-coordinate, we have that:

y + 5 = 3/4(7 + 5)

y + 5 = 9.

y = 4.

The coordinates are (0,4).

More can be learned about proportions at brainly.com/question/24372153

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Which of the following word phrases represents the equation 4s - 10 = -16?
Musya8 [376]

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2

Step-by-step explanation:

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3 years ago
If quadrilateral 1 is reflected across the x-axis and translated 8 units down to form quadrilateral 2, which statement is true?
grigory [225]

Answer:

(A) Quadrilateral 1 is congruent to quadrilateral 2 because the transformations are rigid.

Step-by-step explanation:

This is because since it's only being reflected across the y-axis and translated 8 units down, it's still an isometric.

Isometry or rigid transformation is the opposite of a non-rigid transformation and occurs during translations, reflections and rotations. Non-rigid transformations occur in dilations.

Isometry basically keeps all measure angles and distances of the polygon the same before and after a transformation.

5 0
3 years ago
Two different airlines have a flight from Los Angeles to New York that departs each weekday morning at a certain time. Let E den
Volgvan

Answer:

A) P(E|F) = 0.900

B) P(F|E) = 0.771

Step-by-step explanation:

P(E) = 0.7

P(F) = 0.6

P(E n F) = 0.54

A) P(E|F), the probability that the first airline's flight is fully booked given that the second airline's flight is fully booked is given mathematically as

P(E|F) = P(E n F)/P(F) = 0.54/0.6 = 0.900

B) P(F|E), the probability that the second airline's flight is fully booked given that the first airline's flight is fully booked is given mathematically as

P(F|E) = P(E n F)/P(E) = 0.54/0.7 = 0.771

3 0
3 years ago
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