For a project in his Geometry class, Elijah uses a mirror on the ground to measure the height of his school building. He walks a distance of 8.25 meters from the school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 0.8 meters to the other side of the mirror, until he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.45 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.

Answer:

Solution

Third term of G.P.=ar2=3

General term =arn−1

Product of first five terms =a5⋅r0+1+2+3+4

=a5r10=(ar2)5

=(3)5

=243.

Answer:

See explanation

Step-by-step explanation:

First, because it is a quadratic function, we know that its graph is a parabola that opens up, as x is positive. Because x has no coefficients, we also know that it is a basic parabola, with no vertical stretches or compressions, and a vertex at x=0. Because of the -3, we know the parabola has a verticle shift down 3 units, making the parabola's vertex at (0,3). Hope this helps!

Answer:

(6, 11)(8, 15)(9, 17)(10, 19)

Step-by-step explanation:

ohhhh

sooo

y = 2(6) - 1

y = 12 - 1

y = 11

(6, 11)

y = 2(8) - 1

y = 16 - 1

y = 15

(8, 15)

y = 2(9) - 1

y = 18 - 1

y = 17

(9, 17)

y = 2(10) - 1

y = 20 - 1

y = 19

(10, 19)

Answer:

A, C, E

Step-by-step explanation:

Answer:

5 drinks: $25.00 4 candies: $18.00 Total: $43.00

inn equation form: $5d+$4.5c=?

Step-by-step explanation:

5*5=25

4.5*4=18

25+18=43

Answer:

answer is on screenshot pls like so i could get points lol

Step-by-step explanation:

Answer: dont you need like a picture or sum to find g1 or something?

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(1)= 2(1)+3= 2 + 3 =5

g(1)= -1^2 + 5 = -1 + 5 = 4

Using the uniform distribution, it is found that there is a 0.3 = 30% probability that Samantha has to wait less than 4.5 minutes to catch the bus.

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

In this problem, the time is uniformly distributed between 0 and 15 minutes, hence the bounds are a = 0 and b = 15.

The probability that Samantha has to wait less than 4.5 minutes to catch the bus is given by:

[tex]P(X < 4.5) = \frac{4.5 - 0}{15 - 0} = 0.3[/tex]

More can be learned about the uniform distribution at https://brainly.com/question/13889040

Answer:

1/8 hours

Step-by-step explanation:

First, we have to make our 2 fractions denominators the same to be able to subtract them! We want both of our denominators to be 8 so 5/8 already had 8 so we just need to change 1/2 to do that we are going to multiply the fraction by 4 so 1 x 4 = 4/2 x 4 = 8. Now we have 5/8 and 4/8. All we need to do now is subtract our fractions! 5/8 - 4/8 = 1/8

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

[tex]spent \:extra \: \frac{1}{8} hrs [/tex]

Step-by-step explanation:

[tex]haha.....its \: quite \: logical \\ she \:spent \: \frac{5}{8} - \frac{1}{2} = \frac{1}{8} hrs \: more.[/tex]

Answer:

B

Step-by-step explanation:

Answer:

1/32

Step-by-step explanation:

(1/2)^3 /4= (1/8)/ 4= 1/8 x 1/4= 1/32

Answer:

Fourth option

Step-by-step explanation:

Cause and effect all starts with a reason for a certain event, for example perhaps a group of children going into an abandoned house that is rumored to be "haunted", which caused an effect. So, in this case the children going into an abandoned house that is rumored to be haunted (cause) which then lead into a result, a ghost started to chase them around the house in till they could manage an escape. (effect) Although creating a very good story for us to read, cause and effect has real life examples. The answer is the fourth option or "it presents the reasons something happened and describes the result."

Hope this helps.

Answer: False

Step-by-step explanation: this is false because Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. ... So, any terminating decimal is a rational number.

Answer:

2/30 or 5/30

Step-by-step explanation:

The simplest form of the expression is 1/6.

We have,

The concept used to solve the division problem 4/5 divided by 6 is the idea of dividing a fraction by a whole number.

To divide a fraction by a whole number, we can interpret it as finding a fraction of a fraction.

In this case, we want to find 4/5 divided by 6, which can be understood as dividing the fraction 4/5 into 6 equal parts.

To use a model to divide 4/5 by 6, we can represent 4/5 as a fraction bar and divide it into 6 equal parts.

If we divide the fraction 4/5 into 6 equal parts, each part would represent 1/6 of the original fraction.

Therefore,

The simplest form of the expression is 1/6.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Answer:

30 cm and 20 cm

Step-by-step explanation:

hope it helps

Answer:

56

Step-by-step explanation:

Like I said, all the angles of a triangle ALWAYS add up to 180 degrees (which is a straight angle). It might seem like they don't give angle A for us, but we can see that angle A is a right angle, which is 90 degrees. So, we can add 90 and 34 degrees, and then subtract that from 180.

90 + 34 = 124

180 - 124 = 56

I hope this helps! Have a lovely day! :)

Answer:

Leia is incorrect; 10 should not be in the domain.

Step-by-step explanation:

the domain is x, the range is y. The domain really should be '1, 4, 7, 13, 16 ,19' and the 10 should not be there.

Answer:

C. 7 ft

Step-by-step explanation:

The radius and height of the cone are the legs of a right triangle. The slant height is the hypotenuse.

24² + h² = 25²

576 + h² = 625

h² = 49

h = 7

Answer: C. 7 ft

Answer:

151 Centimeters if using 3 centimeters   or 158 Centimeters if using 3.14 Centimeters

Step-by-step explanation:

Sorry if this isn't what you asked for, but i tried my best ^^

Answer:

x = 30 cm

solve proportionality:

[tex]\sf \dfrac{larger \ side}{larger \ base} = \dfrac{shorter \ side}{shorter \ base}[/tex]

solve:

[tex]\hookrightarrow \sf \dfrac{x}{45} = \dfrac{18}{27}[/tex]

[tex]\hookrightarrow \sf {x}{} = \dfrac{18*45}{27}[/tex]

[tex]\hookrightarrow \sf {x}{} = 30[/tex]

Answer:

[tex]x=30\:cm[/tex]

Step-by-step explanation:

[tex]\frac{x}{45}=\frac{18}{27}[/tex]

[tex]x=\frac{18*45}{27}[/tex]

[tex]x=\frac{810}{27}[/tex]

[tex]x=30[/tex] [tex]cm[/tex]

-{ModPatrol}

Answer:

A $880

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

Sorry but wheres the rest?

Answer:

a

[tex]P(A_4) =  0.077[/tex]  

b

[tex]P(A_5) =0.7542 [/tex]

Step-by-step explanation:

From the question we are told that

    The chance that a new authors first article will be submitted is  [tex]P(A) =  0.40[/tex]

    The chance that a new authors next article will be submitted is  [tex]P(N) =  0.20[/tex]

Generally the probability that a new author first article is not published is

      [tex]P(A)' = 1 - 0.4 =  0.6[/tex]

Generally the probability that a new author next articles are not published is  

      [tex]P(N)' = 1 - 0.2 =  0.8[/tex]

Now from the question we are told to obtain the probability that a new author will be published for the first time when he or she  submits a 4th article, which implies that the new authors first three articles where not published

So the probability is mathematically represented as

   [tex]P(A_4) =  P(A)' *  P(N)' * P(N)' * P(N)[/tex]    

=> [tex]P(A_4) =  0.6 * 0.8 * 0.8* 0.2[/tex]  

=> [tex]P(A_4) =  0.077[/tex]  

Generally the probability that a new author will be published for the first time within his or her first 5  articles submitted is equivalent to

1 - [The probability that a new author will not be published for the first time

    within his or her first 5  articles submitted]

Now the  probability that a new author will not be published for the first time within his or her first 5  articles submitted. is mathematically represented as

    [tex]P(A_5)' = P(A)' * P(N)' * P(N)'*P(N)'* P(N)'[/tex]

=> [tex]P(A_5)' = 0.6 *0.8 * 0.8'*0.8* 0.8[/tex]

=>   [tex]P(A_5)' = 0.24576 [/tex]

Generally the probability that a new author will be published for the first time within his or her first 5  articles submitted is mathematically represented as

    [tex]P(A_5) = 1 - P(A_5)'[/tex]

=>  [tex]P(A_5) = 1 -0.24576 [/tex]

=>  [tex]P(A_5) =0.7542 [/tex]

figure 1 is 130 degrees because a whole line is 180 degrees subtract the 50 boom.

figure 2 is a bit more difficult all together it is 360 y is 30 degrees due to vertical angles and x and z are 150 degrees because 360-60=300 divided by 2 equals 150

figure 3 x is 135 due to vertical angles which makes w and y are 45 because 360-270 equals 90 divide by 2 equals 45

figure 4 is 106 because you add 172 and 82 and then subtract that by 360 there you go. hope this helps you out

This value is approximate.

========================================================

Explanation:

The entire paragraph of text given to you is not needed. It's interesting that the height used to be 480 ft 11 in, but we don't use that anywhere in our calculations to get the current shorter height. Instead we rely solely on the diagram.

Refer to the diagrams I have posted below. Figure 1 is the same diagram more or less, but I've added the variables x and h.

Both h and x are in feet.

I've also added the point labels A through E.

I've split figure 1 into two pieces. Figure 2 focuses on triangle ADE and figure 3 focuses on triangle BDE.

---------------------

Let's put our attention on triangle ADE in figure 2.

Set up the tangent ratio shown below and solve for h.

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{A}) = \frac{\text{DE}}{\text{AD}}\\\\\tan(40.3) = \frac{h}{x+200}\\\\h = (x+200)\tan(40.3)\\\\[/tex]

Now move onto triangle BDE in figure 3.

Set up the tangent ratio and apply substitution.

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{B}) = \frac{\text{DE}}{\text{BD}}\\\\\tan(46.27) = \frac{h}{x+100}\\\\\tan(46.27) = \frac{(x+200)\tan(40.3)}{x+100}\\\\[/tex]

---------------------

Let's solve for x.

[tex]\tan(46.27) = \frac{(x+200)\tan(40.3)}{x+100}\\\\(x+100)\tan(46.27) = (x+200)\tan(40.3)\\\\x\tan(46.27)+100\tan(46.27) = x\tan(40.3)+200\tan(40.3)\\\\[/tex]

[tex]x\tan(46.27)-x\tan(40.3)=200\tan(40.3)-100\tan(46.27)\\\\x(\tan(46.27)-\tan(40.3))=200\tan(40.3)-100\tan(46.27)\\\\x=\frac{200\tan(40.3)-100\tan(46.27)}{\tan(46.27)-\tan(40.3)}\\\\x\approx 329.87238475414\\\\[/tex]

Use this to find h.

[tex]h = (x+200)\tan(40.3)\\\\h \approx (329.87238475414+200)\tan(40.3)\\\\h \approx 449.364461010933\\\\h\approx 449.364[/tex]

The height of the pyramid is currently 449.364 feet approximately.

---------------------

Lastly we'll convert to feet,inches format since the "480 ft 11 in" figure is in that format.

h = 449.364 ft

h = 449 ft + 0.364 ft

h = 449 ft + (0.364 ft)*(12 in/1 ft)

h = 449 ft + 4.368 in

h = 449 ft + 4 in

h = 449 feet, 4 inches

Answer:

12

Step-by-step explanation:

Answer:

The answer for the first one is 3c

Step-by-step explanation:

Because it is 3·c

Answer:

1. 3c

2. 3c·20

3. 3c·20=2400

Step-by-step explanation:

Here! Hope I could help :)