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never [62]
4 years ago
13

In the diagram, a building casts a 21-ft shadow and a flagpole casts a 6-ft shadow. If the flagpole is 15 ft tall, how high is t

he building? Round to the nearest tenth.
Mathematics
2 answers:
IrinaK [193]4 years ago
6 0
Ratio Problem

15 tall Flagpole     6 shadow Flagpole
-------------------- = -------------------------
      x tall build        21 shadow build

6x = 315
x = 52.5
mojhsa [17]4 years ago
6 0

Answer:

52.5 ft high is the building

Step-by-step explanation:

Proportion states that two ratios or fractions are equal

As per the statement:

In the diagram,

a building casts a 21-ft shadow and a flagpole casts a 6-ft shadow.

If the flagpole is 15 ft tall.

Let x ft be the height of the building.

then by definition we have;

\frac{\text{Height of the building}}{\text{Shadow of the building}}=\frac{\text{Height of the flagpole}}{\text{Shadow of the flagpole}}

\frac{x}{21} = \frac{15}{6}

By cross multiply we have;

6x = 315

Divide both sides by 6 we have;

x = 52.5 ft

Therefore, 52.5 ft high is the building

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Need help on both of them
Vlad1618 [11]
7) Write the decimal number as a fraction
(over 1)
2.18 = 2.18 / 1

Multiplying by 1 to eliminate 3 decimal places
we multiply top and bottom by 3 10's

Numerator (N)
N = 2.18 × 10 × 10 × 10 = 2180
Denominator (D)
D = 1 × 10 × 10 × 10 = 1000

N / D = 2180 / 1000

Simplifying our fraction

= 2180/1000

= 109/50

= 2  9/50

8)7 ^{-5}  =  \frac{1}{7^{5}}
6 0
3 years ago
Which is the best estimate of the product of the fractions? StartFraction 4 Over 7 EndFraction times StartFraction 8 Over 9 EndF
Lapatulllka [165]

Answer:

Product = \dfrac{64}{135}

Step-by-step explanation:

The expression is as follows :

\dfrac{4}{7}\times \dfrac{8}{9}\times \dfrac{14}{15}

We need to find the product of the above expression

As 7 × 2 = 14

So, it will become :

4\times \dfrac{8}{9}\times \dfrac{2}{15}\\\\=\dfrac{4\times 8\times 2}{9\times 15}\\\\=\dfrac{64}{135}

So, the product of the given fractions is \dfrac{64}{135}.

8 0
3 years ago
A grocery store sells a 7 oz bag of raisins for $1.10 and a 9 oz bag of raisins for $1.46. which size bag has the lower price pe
Marysya12 [62]
7 oz bag:
110 ÷ 7 = 15.7143¢ per oz
9 oz bag:
146 ÷ 9 = 16.2222¢ per oz
So the answer is the 7 oz bag, hope this helps!
5 0
4 years ago
Read 2 more answers
Please help:<br> In Δ ABC, sin A= 77, sin C= 23, and c =16, find the length of A.
Dafna1 [17]

Answer:

39.9

Step-by-step explanation:

a/sinA = c/sinC

a/sin(77) = 16/sin(23)

a = sin(77) × 16/sin(23)

a = 39.89935764

3 0
3 years ago
How do you work this out?
oksian1 [2.3K]
I think this problem is 3
8 0
3 years ago
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