Igor, whose eye height is 4.5 ft., wishes to find the height of an oak tree out in front of his castle. He places a mirror on the ground between himself and the tree. He is now 5.5 feet away from the center of the mirror and the mirrors is 70 feet from the tree. What is the height of the oak tree in front of Igor´s castle?



Please this is due in 15 minutes

Answer:

17.25

Step-by-step explanation:

Answer: 1,3,5

I got them right on my assignment

Option (A) The solution set is unbounded, (C) There is one point of intersection of the boundary curves, (E) The boundary curves intersect at approximately (-3, 0) are correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have two inequality:

x² - 9y² < 9

y > 2×

After plotting on the graph:

From the graph:

The correct options are:

The solution set is unbounded

There is one point of intersection of the boundary curves.

The boundary curves intersect at approximately (-3, 0).

Thus, option (A) The solution set is unbounded, (C) There is one point of intersection of the boundary curves, (E) The boundary curves intersect at approximately (-3, 0) are correct.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ5

Answer:

a) The Z-score for Patricia's test grade is 0.32.

b) The z-score for Whitney's test grade is of 0.34.

c) Due to the higher z-score, Whitney's did relatively better.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

a. Calculate the Z-score for Patricia's test grade.

Patricia took a test in English and earned a 76.5. Students' test grades in the English class had a mean of 73.1 and a standard deviation of 10.5.

This means that [tex]X = 76.5, \mu = 73.1, \sigma = 10.5[/tex]

The z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{76.5 - 73.1}{10.5}[/tex]

[tex]Z = 0.32[/tex]

The Z-score for Patricia's test grade is 0.32.

b. Calculate the z-score for Whitney's test grade.

Whitney took a test in Math and earned a 64.5. Students' test grades in Math had a mean of 60.9 and a standard deviation of 10.7.

This means that [tex]X = 64.5, \mu = 60.9, \sigma = 10.7[/tex]

The z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{64.5 - 60.9}{10.7}[/tex]

[tex]Z = 0.34[/tex]

The z-score for Whitney's test grade is of 0.34.

c. Which person did relatively better?

Due to the higher z-score, Whitney's did relatively better.

9514 1404 393

Answer:

  A) 12 pieces

  B) the meaning of the quotient is that Tara got 12 pieces of length 2/5 ft from her 4 4/5 ft rope

Step-by-step explanation:

A) (4 4/5)/(2/5) = (24/5)/(2/5) = 24/2 = 12

  Tara can cut 12 pieces from the rope.

__

B) The quotient is the answer to the question. The meaning of it is that Tara can get 12 pieces from the rope, in answer to the question, "how many pieces can Tara cut?"

It doesn't matter whether the numbers are whole numbers, decimals, fractions, or even irrational numbers. The whole is the sum of the parts, so the number of parts is equal to the size of the whole divided by the size of a part.

_____

Comment on the question

This sort of question seems to appear a lot in modern "common core" math materials. They tell you "x means <such and such>", and then they ask you, "What is the meaning of x?" It seems to be a reading comprehension exercise. Of course, the meaning of x is <such and such>, just as the problem statement tells you.

Answer:

120.

Step-by-step explanation:

The Least common multiple of 30 and 40 is 120.

Answer:

The lowest common multiple of 30 and 40 is 120

#CarryOnLearning

#NoToCopyPaste

Its base on my understanding

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste You can search on the internet but make your own sentence okay? Thank you

Please dont delete this:((

Answer:

C. 6

Step-by-step explanation:

According to Pythagprean theorem 10^2 = x^2 +8^2

100 = x^2+ 64 subtract 64 from both sides

36 = x^2

6 = x

Answer:

9/1000

Step-by-step explanation:

Because 1 m = 1000 mm, the scale factor is 9/1000

9514 1404 393

Answer:

  (c)  18.55

Step-by-step explanation:

The law of sines tells you ...

  y/sin(106°) = 15/sin(51°)

  y = 15×sin(106°)/sin(51°)

  y ≈ 18.55

_____

The same kind of proportion can find x:

  x = 15×sin(23°)/sin(51°)

  x ≈ 7.54

Please note that the question posted here asks for the value of y. The value of x and the complete triangle solution are provided as a courtesy to those who may be asked for other values in this triangle.

Answer:

D

Step-by-step explanation:

I know the answer is D because I set the equation to be equal to x.

First, I added c to both sides. The equation looked like: 7x=k+c

Then, I divided 7 on both sides, so x would be by itself. The equation looked like x=k+c/7

In conclusion, the answer is D. x=k+c/7

Answer:

The formula for circumference of a circle is

2pi,R.

In which R= radius. Then we Insert 18 in for the circumstances.

so, 18=2πr

then solving for r

18=2

÷. ÷

2. 2

R = 9,,

Answer:

∠TSQ and ∠UVX

Step-by-step explanation:

Answer:  it is 3

Step-by-step explanation:

Answer:

its 122

Step-by-step explanation:

just did it on khan academy

Answer:

Step-by-step explanation:

7 + b

Hope that helps... I couldn't really figure out what you were asking :)

Answer:

x=8

Angle DBC=32

Step-by-step explanation:

-DBC= ABC-ABD= 55-23=32

-4x=DBC=32

x=32/4=8

Answer:

find the are of the base times the height

Step-by-step explanation:

Answer:

hiii <33

Step-by-step explanation:

Answer:

The answer is 27, 28, 29.

Answer:

i think its 17

please rate and leave a like :-)

Answer:

C

Step-by-step explanation:

random guess

Answer:

I think B(in sorry if thats not correct)

Step-by-step explanation:

Answer:

the equation is W=V / ( L×H)

note write it as a fraction V in neomarater and L×W in denomenator

Step-by-step explanation:

V=L×W×H

6336=18×16×W

W×288=6336

W=6336 ÷288

W=22 cm

Answer:

8.74

Step-by-step explanation:

The distance can be calculated by Distance Formula , as :-

⇒ Distance = √[( x₁ - x₂ )² + (y₁ - y₂ )² ]

⇒ D = √ [ ( 3 + 2)² + (5+2)² ]

⇒ D = √ 5² + 7²

⇒ D = √ [ 25 + 49 ]

⇒ D = √ 74

⇒ D = 8.74 units .

Answer:

The absolute value is 5 1/6

Step-by-step explanation:

The absolute value is how far away an answer is to zero so we just take away the negative for this question.

Step-by-step explanation:

use the formula:

[tex]v = u + at[/tex]

v = 30 [final velocity]

u = 10 [initial velocity]

a = 2 [acceleration]

solve for t [time]

Answer:

area of sector - area of triangle

90/360×22/7×9×9 - 1/2×9×9

=63.64-40.5

=23.14

ans=23.14 squared inch

Answer:

1.    74.6° = m∠C       65.4° = m∠A      a = 2.83

2.   Triangle does not exist

Step-by-step explanation:

1.   Use the law of sines to find m∠C

sin 40/2 = sin C/3

3sin 40/2 = sin C = .96418...

arcsin .96418... = 74.6° = m∠C

m∠A = 180 - 40 - 74.6 = 65.4°

a/sin 65.4 = 2/sin 40

a = 2 sin 65.4/sin 40 = 2.83

2.   sin 95/4 = sin C/5

5sin 95/4 = sin C =  1.2452...  which is impossible since the cosine of an angle is ≤ 1