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Sergeeva-Olga [200]
3 years ago
7

A pole that is 3.1 m tall casts a shadow that is 1.18 m long.At the same time , a nearby tower casts a shadow that is 35.75 m lo

ng. How tall is the tower? Round the nearest meter.
Mathematics
1 answer:
Georgia [21]3 years ago
7 0

Answer:

94 m

Step-by-step explanation:

Write a proportion:

3.1 / 1.18 = x / 35.75

Cross multiply and solve:

1.18x = 3.1 × 35.75

1.18x = 110.825

x ≈ 94

Rounded to the nearest meter, the height of the tower is approximately 94 meters.

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An athletics coach states that the distribution of player run times (in seconds) for a 100-meter dash is normally distributed wi
Elza [17]

Answer:

P(X

And we can find this probability using the normal standard distribution table and we got:

P(z

And the percentage faster than 13.28 seconds would be 91.9%

Step-by-step explanation:

Let X the random variable that represent the runtimes of a population, and for this case we know the distribution for X is given by:

X \sim N(13,0.2)  

Where \mu=13 and \sigma=0.2

We want to find this probability:

P(X

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

Using this formula we have:

P(X

And we can find this probability using the normal standard distribution table and we got:

P(z

And the percentage faster than 13.28 seconds would be 91.9%

8 0
3 years ago
A picnic basket was marked up 95% from an original cost of $9.57. Last Friday, Rosanne bought the picnic basket and paid an addi
Montano1993 [528]

Answer:

$20.15

Step-by-step explanation:

Given data

Original cost =  $9.57

Markup= 95%

Let us find the new cost of the basket

=95/100*9.57

=0.95*9.57

=$9.0915

Hence the cost of the basket is

= 9.57+9.0915

=18.66

Also, the sales tax is 8%

=8/100*18.66

=0.08*18.66

=1.4928

Therefore, the total amount to be paid is

=18.66+1.4928

=$20.15

8 0
3 years ago
Graph the image of H(-8,5) after a reflection over the x-axis.<br><br> Answer ?
TEA [102]

Answer: plot a point at (-8, -5)

The y coordinate flips from positive to negative, or vice versa, when we reflect over the horizontal x axis. The x coordinate stays the same.

The rule can be written as (x,y) \to (x,-y)

6 0
3 years ago
Which value is the reciprocal of −238?
ch4aika [34]
The answer is -1/238
5 0
3 years ago
Could use the help! thanks again!
love history [14]

Answer:

Beth is incorrect.

It is a translate to the right 5 units and up 1 unit.

When we solve x-5=0 we get x=5, not x=-5 which says we go right 5 units.

When we plug in 5 into the expression for g, we get 1 which means go up 1 as well.

Step-by-step explanation:

So g(x)=\sqrt{x-5}+1 is actually a translated 5 units and up 1 unit. Why?

Let's take there point (0,0) and figure out what the new point is on the translated graph.

We need to figure out when the inside of our square root for g is 0.  This is where the graph of g will start at and continue on.

x-5=0 when x=5 ( I added 5 on both sides).

So let's plug in 5 to see what the new point is.

g(5)=\sqrt{5-5}+1

g(5)=\sqrt{0}+1

g(5)=0+1

g(5)=1

So the new graph, g, starts at the point (5,1).

5 0
3 years ago
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