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steposvetlana [31]
2 years ago
4

1. Michelle wants to determine the height of the flag pole outside of her school. She places a meter stick next to the flag pole

and measures the shadow of the meter stick and the flag pole. If the meter stick has a shadow of 180 centimeters and the flag pole has a shadow of 39.6 meters, then how tall is the flag pole? Choices are below
A. 22 meters

B. 220 meters

C. 11 meters

D. 455 meters
Mathematics
1 answer:
Shtirlitz [24]2 years ago
5 0
A. 22 meters
Since the flag pole and the meter stick are both vertical and the sun is at the same position in the sky, the triangle made by the flag pole and its shadow is similar to the triangle made by the meter stick and its shadow.

The ratio of the corresponding sides of the triangles are equal and the height of the flag pole can be determined by solving the following proportion.


<span>Therefore, the flag pole is </span>22 meters<span> tall.</span>

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Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the
nikitadnepr [17]

Answer:

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

<em>Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake. </em>

<em>How much space does Lacey's mom cover in frosting? </em>

My answer:

As we know that the surface area of the the cake is made up of rectangles. The formula for find the area of a rectangle is A = lw

  • The area of rectangle ABCD: 4*2 = 8
  • The area of rectangle ADFE : 12*2 = 24
  • The area of rectangle TJVS : 4*2 = 8
  • The area of rectangle ESFV :9*2 = 18
  • The area of rectangle HTJG: 5*2 = 10
  • The area of rectangle CBHG: 2*8 = 16

The area of CDEVGJ = ABHTFS

= 4*12 + 4*5

= 68

So the total area is: 68 +68  +16+10+18+8+24+8 = 220

Hope it will find you well

8 0
2 years ago
A glass ball is packed in the box shown. Which expression represents the volume of foam padding needed to fill the space in the
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Answer: (27- 4/3 pi) r^3

Step-by-step explanation: 1. Volume of a cube: V= a^3,  V= 3^3 , V=27

2.  Volume of a sphere: V=4/3 pi r^3 ......

5 0
2 years ago
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ
OleMash [197]

Answer:

Each associate costs the client $700 per day, so a associates will cost the client 700a dollars per day. Each partner costs the client $1500 per day, so p partners will cost the client 1500p dollars per day. The total amount charged 700a+1500p :$14100:

700a+1500p=14100

700a+1500p=14100

Since there were a total of 11 lawyers assigned to the case (associates and partners), we know a+pa+p must equal 11.11.

a+p=11

a+p=11

\underline{\text{Write System of Equations:}}

Write System of Equations:

​

700a+1500p=

700a+1500p=14100

14100

a+p=11

11

8 0
2 years ago
The school cafeteria has 4 rows of tables each row has 22 seats. The school patio has 12 tables. Each table seats 4 students. Ho
o-na [289]

Answer:

Here the answer, dearie.

Step-by-step explanation:

22 \times 4 = 88 \\ 12 \times 4 = 48 \\ 88 + 48 = 136

So, 136 people can sit in cafeteria and the patio.

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Answer: - 2.5

Step-by-step explanation:

Using the attached number line has reference, the distance between each integer on the number line attached is 1, and the numbers are ordered in ascending order from - 10 to + 10. The point R exists in between the point marked - 2 and - 3 respectively. This shows that that point R is a number between the two integers, a number greater than - 3 but less than - 2.

From the picture attached the blue dot sits directly at the midpoint between - 3 and - 2. Hence the position can be a obtained by averaging the two integers.

(-3 + - 2) / 2 = - 5/2 = - 2.5

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