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madreJ [45]
1 year ago
15

7/8 of a rectangle is colored red. Damien cuts this red part into a number of pieces so that each piece is 1/24 of the whole rec

tangle. Find the number of red pieces Damien has.
Mathematics
1 answer:
Degger [83]1 year ago
7 0

Answer: Damien has 21 red pieces

Step-by-step explanation:

First, 7/8 of the rectangle is coloured red.

Then, the 7/8 was cut into a size 1/24 of the rectangle each.

That consequently means that 24 of those pieces will form the whole shape.

Since red covers 7/8 of the rectangle, the number of red pieces invariably becomes

⅞ × 24 pieces, which is equal to 21 pieces

Therefore, Damien has cut the red part of the rectangle into 21 pieces

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Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60percent of their plants are
DaniilM [7]

Answer:

There are 20 vegetable plants in garden.

Step-by-step explanation:

We are given the following in the question:

Percentage of flowers = 60%

Percentage of vegetable = 40%

Number of plants in garden = 50

Number of vegetables in garden =

40\% \times \text{Number of plant}\\\\= \dfrac{40}{100}\times 50\\\\= 20

Number of flowers in garden =

60\% \times \text{Number of plant}\\\\= \dfrac{60}{100}\times 50\\\\= 30

Thus, there are 20 vegetable plants in garden.

6 0
2 years ago
Liam is constructing a square in which two of its vertices are points A and B. He has already used his straightedge and compass
AfilCa [17]

Answer:

Step-by-step explanation:

B

3 0
1 year ago
Kristen is 64 inches tall, and she stands 12 feet away from a streetlight. If she casts an 82-inch-long shadow, how tall is the
o-na [289]

Answer:

176.39 inches or

14.70 feet

Step-by-step explanation:

Consider the right triangle made by Kristen, ground and shadow.

This triangle has one leg as 64 inches.

Next consider the right triangle formed by street light, ground upto shadow tip.

The two triangles have common angle of elevation and also another angle as 90 degrees.

Hence the two triangles would be similar

Also if A is the angle made by hypotenuse of both triangles with the ground we have

tanx=\frac{64}{82}

This value also equals by bigger triangle as

tanx=\frac{h}{82+12(12)}=\frac{h}{226}

From these two we get

h = height of street light =\frac{226(64)}{82} =176.39

6 0
1 year ago
At a construction site, a builder plans to cut down an 8-foot-by-9-foot piece of plywood. She plans to discard any pieces that s
AnnZ [28]

Answer:

12 i think

Step-by-step explanation:

6 0
2 years ago
Gayla draws a rectangle. Jared then draws a different rectangle by increasing both the length and the width by 5%. Lyda draws a
Oduvanchick [21]

A

Step-by-step explanation:

8 0
2 years ago
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