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ValentinkaMS [17]
3 years ago
6

A 6​-ft vertical post casts a ​16-in shadow at the same time a nearby cell phone tower casts a ​124-ft shadow. How tall is the c

ell phone​ tower?
Mathematics
1 answer:
Anna007 [38]3 years ago
5 0

Answer:

558.01 ft

Step-by-step explanation:

To obtain the height of cell tower :

Height of post / shadow of post = height of tower / shadow of tower

Shadow of post = 16 in = 1.333333 ft

6/ 1.3333 = height of tower / 124

6 * 124 = 1. 3333 * height of tower

744 = 1.3333 * height of tower

Height of tower = 744 / 1.3333

Height of tower = 558.01

Height of tower = 558.01 ft

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When using base-10 blocks to divide 452 by 2, how many hundreds flats will be in each equal group? hundreds flats Divide 452 by
daser333 [38]
<h3>Given</h3>

4 hundreds flats; 5 tens rods; 2 ones cubes

<h3>Find</h3>

The number of hundreds flats in each of 2 equal piles

<h3>Solution</h3>

When 4 flats are divided into two equal groups, each group will have ...

... 2 flats

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You can imagine doing this the way a card dealer might: first put 1 flat in each of 2 piles, then do the same for the remaining 2 flats. Each pile will end up with 2 flats.

— — — — —

You will have a problem if you continue with the tens rods. There is an odd number of those, so one of them will have to be exchanged for 10 ones cubes.

8 0
3 years ago
Last Saturday, Niki went on a bike ride from her house to the park. The total distance she travelled on her bike was 3 1/5 miles
Mnenie [13.5K]

Answer:

D. \frac{16}{5}

Step-by-step explanation:

3\frac{1}{5}

To rewrite a mixed number as an improper fraction, first, multiply the whole number by the denominator.

3*5=15

Then, add this number to the numerator.

15+1=16

This number is now the numerator of the fraction. The denominator stays the same.

\frac{16}{5}

I hope this helps!

5 0
3 years ago
Read 2 more answers
A very small dinosaur , the microraptor was only 1.3 feet long. one of the largest dinosaures the diplodocus was about 91 feet l
Norma-Jean [14]
  A very small dinosaur , the microraptor was only 1.3 feet long. one of the largest dinosaures the diplodocus was about 91 feet long. how many times as long as the microraptor was the diplodocus ?  =78 feet
4 0
3 years ago
What is the lcm for 21,28,and 35
Fed [463]

420 is the least common multiple for 21, 28, 35

3 0
2 years ago
Read 2 more answers
An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberr
seraphim [82]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean compression strength from the extra carbonation of strawberry drink and μ2 be the mean compression strength from the extra carbonation of cola.

The random variable is μ1 - μ2 = difference in the mean compression strength from the extra carbonation of strawberry drink and the mean compression strength from the extra carbonation of cola.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

This is a left tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 530

x2 = 553

s1 = 23

s2 = 16

n1 = 10

n2 = 10

t = (530 - 533)/√(23²/10 + 16²/10)

t = - 2.6

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [23²/10 + 16²/10]²/[(1/10 - 1)(23²/10)² + (1/10 - 1)(16²/10)²] = 6162.25/383.752

df = 16

We would determine the probability value from the t test calculator. It becomes

p value = 0.0097

Since alpha, 0.05 > than the p value, 0.0097, then we would reject the null hypothesis. Therefore, at 5% significance level, the data suggests that the extra carbonation of cola results in a higher average compression strength.

4 0
3 years ago
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