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1 year ago

14

A 20-ft flagpole casts a shadow of 12 feet long. How tall is a nearby building that casts a shadow of 20 feet long? Round to one

decimal place.

1 answer:

olga_2 [115]1 year ago

3 0

A^2 + b^2 = c^2
20^2 + 12^2 = c^2
400+144 = c^2
544 = c^2
Sqrt(544) = Sqrt(c^2)
23.3 = c

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Graph the image of this figure after a dilation with a scale factor of 1/3 centered at the origin.

posledela

Answer:

see attached diagram

Step-by-step explanation:

A dilation with a scale factor of $\dfrac{1}{3}$ centered at the origin has a rule:

$(x,y)\mapsto\left(\dfrac{x}{3},\dfrac{y}{3}\right).$

Then the image of the triangle ABC is triangle DEF(see attached diagram) with coordinates

$D\left(\dfrac{-3}{3},\dfrac{3}{3}\right)\Rightarrow D(-1,1);$
$E\left(\dfrac{3}{3},\dfrac{9}{3}\right)\Rightarrow E(1,3);$
$F\left(\dfrac{6}{3},\dfrac{6}{3}\right)\Rightarrow F(2,2).$

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2 years ago

What is the 28th term of the arithmetic sequence with a 1 = 4 and d= -2

Amiraneli [1.4K]

Answer:

Step-by-step explanation:

tn = a + (n-1)*d

t28 = 4 + (27)*-2 27 because 27 = 28 - 1

t28 = 4 + - 54

t28 = 4 - 54

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3 years ago

Antonio runs 5 3/4 miles a day. After 5 days, how many miles has he completed

soldi70 [24.7K]

Step-by-step explanation:

No of miles a day = 5.75 miles

No of miles after 5 days = 5.75 x 5 = 28.75 miles

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2 years ago

John can eat a quarter of pizza in one minute . How long it take John to eat one pizza and a half?

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Answer:

6 minutes

Step-by-step explanation:

1 minute times six

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2 years ago

Read 2 more answers

The school can food drive has collected an average of 171 cans of food per month from january to june. the balance at the end of

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Answer:

1002

Step-by-step explanation:

171x6=1026

171×2=342

1026-342=684

684+318=1002

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2 years ago