Please hurry Suppose Ms. Kraus is 1.75 m tall. When her shadow is is 1 m, how long would the shadow be of a 265 m tall building? (Make a sketch to help solve the problem) a. 175 m c. 265 m b. 151 m d. 100 m

Answers

Answer 1

Answer:

The shadow of a 265m long building would be b. 151 m

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Ms. Kraus is 1.75 m tall. When her shadow is 1 m.

Let the shadow of a 265 m tall building be 'x' m.

Therefore by the ratio proportion method.

1.75 : 1 : : 265 : x.

1.75/1 = 265/x.

1.75x = 265.

x = 265/1.75.

x = 151.42 Or 151 m.

learn more about proportion here :

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Answer 2

Answer:

Answer:

b. 151m

Step-by-step explanation:

Step-by-step explanation:

That's the right answer on edge

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Please can you answer question b

Subtract 10x + 7y from -15x+6y

Answers

Step-by-step explanation:

= -15x+6y-(10x+7y)

= -15x+6y-10x-7y

= -25x-y.

Answer: 4

Step-by-step explanation:

10 + 7 = 17

15 + 6 = 21

21 - 17 = 4

I don’t know but wanted to try it might not be right

A rotating light on top of a lighthouse sends outrays of light in opposite directions. As the beacon
rotates, the ray at an angle 8 makes a spot of light
that moves along the shore. The lighthouse is
located 500 m from the shoreline and makes
one complete rotation every 2 min.
Determine the equation that expresses the
distance, d, in metres, as a function
of time, t, in minutes.

Answers

Answer:

$\sf d = 500 \cdot (\theta(t))$

Step-by-step explanation:

The equation can be derived using the following trigonometric identity:

That is:

$\sf tan(\theta) =( opposite )/( adjacent)$

In this case, the opposite side is the distance from the lighthouse to the shoreline and the adjacent side is the distance from the lighthouse to the spot of light on the shoreline (500m)

The angle is equal to the angle of the light beam.

It is changeable according to the time. so,

$\sf \theta \textsf{ will be } \theta t$

Substituting these values into the trigonometric identity gives us the following equation:

$\sf tan(\theta t) = (d)/(500)$

Solving for d gives us the following equation:

$\sf d = 500 \cdot (\theta(t))$

Therefore, the equation to express the distance, d, in metres, as a function of time, t, in minutes is:

$\sf d = 500 \cdot (\theta(t))$

A student uses the substitution method to solve the system of equations below algebraically.2x - y = 5
3x + 2y = -3

Which equivalent equation could be used?

Answers

Solve the first equation for "y" and you get: y = 2x - 5.

That is the equivalent equation that answers the question.

To solve the system, you substitue it for "y" in the second equation and you obtain:

3x + 2 (2x - 5) = -3

Now you have one equation with one single variable, "x" which you can solve easily.

Please, let me know if you could follow the explanation.

Pls help i need asap for homework
-5/6m = -60
m = ?

Answers

Step-by-step explanation:

Hey there!

Given;

-5/6m = -60

~ Multiply "6m" and "-60".

-5 = 6m*-60

-5 = -360m

~ Divide "-5" by "-360"

m = -5/-360

m = 1/72

Therefore,the value of "m"is 1/72.

Hope it helps....

On discovering that her family had a 70% risk of heart attack, Erin took a treadmill test to check her own potential of having a heart attack. The doctors told her that the reliability of the stress test is 67%. The test predicted that Erin will not have a heart attack. What is the probability after the test was taken that she will have a heart attack?0.4051
0.5010
0.4653
0.6632

Answers

The test predicted that Erin will not have a heart attack. The probability after the test was taken that she will have a heart attack is 0.4653. the rest of teh choices do not answer the question above.

Answer:

THERE CORRECT JUST FOR RESHORENCE

Step-by-step explanation:

A survey was conducted that asked 1003 people how many books they had read in the past year. Results indicated that x overbar equals 12.8 books and sequels 16.6 books. Construct a 99% confidence interval for the mean number of books people read. Interpret the interval.

Answers

Answer:

The 99% confidence interval would be given (11.448;14.152).

Step-by-step explanation:

1) Important concepts and notation

A confidence interval for a mean "gives us a range of plausible values for the population mean. If a confidence interval does not include a particular value, we can say that it is not likely that the particular value is the true population mean"

$s=16.6$ represent the sample deviation

$\bar X=12.8$ represent the sample mean

n =1003 is the sample size selected

Confidence =99% or 0.99

$\alpha=1-0.99=0.01$ represent the significance level.

2) Solution to the problem

The confidence interval for the mean would be given by this formula

$\bar X \pm z_(\alpha/2) (s)/(√(n))$

We can use a z quantile instead of t since the sample size is large enough.

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_(\alpha/2)=2.58$

And replacing into the confidence interval formula we got:

$12.8 - 2.58 (16.6)/(√(1003))=11.448$

$12.8 + 2.58 (16.6)/(√(1003)) =14.152$

And the 99% confidence interval would be given (11.448;14.152).

We are confident that about 11 to 14 are the number of books that the people had read on the last year on average, at 1% of significance.

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