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3 years ago

If a 75 ft flagpole casts a shadow that is 43 long, what is the angle of elevation of the sun from the tip of the shadow?

Mathematics

1 answer:

Phoenix [80]3 years ago

5 0

The picture shows the set up:

You finish.

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Tim installs 50 square feet of his floor in 45 minutes. At this rate, how long does it take him to install 495 square feet?

77julia77 [94]

Answer:

99.5 minutes

Step-by-step explanation:

50=45

495=?

495×45÷50=99.5

6 0

4 years ago

Read 2 more answers

∠EFG and ∠GFH are a linear pair, m∠EFG=3n+19, and m∠GFH=55+33 What are m∠EFG and m∠GFH?

romanna [79]

A linear pair is a pair of angles that form a straight line and are therefore, equal to 180 degrees

3n + 19 + 55 + 33 = 180
3n + 107 = 180
3n = 180 - 107
3n = 73
n = 73/3

so < EFG = 3n + 19 = 3(73/3) + 19 = 73 + 19 = 92
and < GFH = 55 + 33 = 88

5 0

4 years ago

Find the indicated probability.

natka813 [3]

Answer:

C) 0.179

Step-by-step explanation:

Since the trials are independent, this is a binomial distribution:

Recall:

Binomial Distribution --> $P(k)={n\choose k}p^kq^{n-k}$
$P(k)$ denotes the probability of $k$ successes in $n$ independent trials
$p^k$ denotes the probability of success on each of $k$ trials
$q^{n-k}$ denotes the probability of failure on the remaining $n-k$ trials
${n\choose k}=\frac{n!}{(n-k)!k!}$ denotes all possible ways to choose $k$ things out of $n$ things

Given:

$n=10$
$k=4$
$p^k=0.53^4$
$q^{n-k}=(1-0.53)^{10-4}=0.47^6$
${n\choose k}={10\choose 4}=\frac{10!}{(10-4)!4!}=210$

Calculate:

$P(4)=(210)(0.53^4)(0.47^6)=0.1786117069\approx0.179$

Therefore, the probability that the archer will get exactly 4 bull's-eyes with 10 arrows in any order is 0.179

7 0

2 years ago

What is the range of data?

a_sh-v [17]

Answer:

The range of data is 9

Step-by-step explanation:

We know that

range of data = maximum value of data - minimum value of data

Now, we can find maximum value of data

and minimum value of data

so,

maximum value of data =9

minimum value of data =0

now, we can plug these values

and we get

range of data =9-0

range of data =9

6 0

4 years ago

Saul makes green paint by mixing blue paint and yellow paint.

Mamont248 [21]

Answer:

12 gallons of yellow paint

4 gallons of blue paint

Step-by-step explanation:

saul’s paint ratio is 3b to 1y which makes 4ounces of paint total (3b+1y=4)

So if you want 16 gallons of paint total using the same ratio of colors then you need to figure out how many of the recipe you will need to put in by dividing

16/4=4 so 4 times the original recipe

Now multiply the original paint numbers by 4 since you will do the ratio 4 times

3y*4= 12 gallons of yellow paint and

1b*4= 4 gallons of blue paint

Hope this helps! :)

5 0

2 years ago