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3 years ago

Adele rides her bike 28 miles in 3.5 hours. How far has Adele traveled on her bike if she rides for 8 hours?

Mathematics

1 answer:

tino4ka555 [31]3 years ago

3 0

Answer:

64 miles

Step-by-step explanation:

if you divide 28 by 3.5, this gives you the number of miles per hour, I got 8. Multiply that by 8 because that is the number of hours we are looking for and you get 64. That is the answer.

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The area of rectangle ABCD is 72. If point A and the midpoints of BC and CD are joined to form triangle, the area of that triang

vredina [299]

Answer:

Step-by-step explanation:

Name the midpoint of BC point M and the midpoint of CD point N.

Triangle ABM has the 1/4 the area of the rectangle, 18. Triangle ADN also has 1/4 the area of the rectangle, 18. Triangle CMN has 1/8 the area of the rectangle, 9. That is, of the rectangle area, ...

18 + 18 + 9 = 45

are not included in triangle AMN. So, the area of that triangle is ...

72 -45 = 27 . . . . units²

_____

<em>Comment on the triangle area</em>

The triangle created by joining the midpoint of the side of a rectangle with an opposite vertex will have the same dimension as the rectangle in one direction (L), and half the dimension of the rectangle in the other direction (W). Thus, where the rectangle area is LW, the triangle area is (1/2)(L)(1/2W) = (1/4)LW, 1/4 the area of the rectangle.

Similarly, if the midpoints of adjacent sides are joined to form a triangle, the area of that is (1/2)(1/2L)(1/2W) = (1/8)LW, or 1/8 the area of the rectangle.

3 0

3 years ago

A deck of cards contains 6 black cards and 6 red cards. The first card drawn is not replaced before drawing the second card.

exis [7]

Answer : 5/22

A deck of cards contains 6 black cards and 6 red cards. The first card drawn is not replaced before drawing the second card.

Total number of outcome of cards = 12

Probability( any event)= favorable outcomes divide by total number of outcomes

Probability of selecting black card = $\frac{6}{12} =\frac{1}{2}$

The drawn card is not replaced . so 11 cards left . In that 11 cards, 5 black cards because one black card is already chosen

Probability of selecting another black card = $\frac{5}{11}$

Probability of selecting a black card followed by another black card =

= $\frac{1}{2}*\frac{5}{11}$

= $\frac{5}{22}$

4 0

3 years ago

The surface area of a cylinder is 602.88. If the dimensions of the cylinder are

lana66690 [7]

Answer:

you all have to divide by 2

Step-by-step explanation:

602.88÷2= 301.44

3 0

3 years ago

Question 5

navik [9.2K]

Answer:

A. Similar using SAS; ∆ABC ~ ∆DFE

Step-by-step explanation:

m<B of ∆ABC = m<F of ∆DFE

AB corresponds to DF

AB/DF = 12/8 = 3/2

BC corresponds to FE

BC/FE = 24/16 = 3/2

Thus, the ratio of the corresponding sides of both triangles are the same. Therefore, both triangles has two sides that are proportional to each other, and also had an included corresponding angles that are congruent to each other.

By the SAS criterion, we can conclude that both triangles are similar to each other. That is, ∆ABC ~ ∆DFE

7 0

3 years ago

Please help me: w+7/8=3/4 Show you're work

KengaRu [80]

Answer:

w = -1/8

Step-by-step explanation:

-1/8 is like taking 1/8 from 7/8 making it 6/8 which = 3/4

8 0

3 years ago