In the later afternoon on a sunny day, Shanice goes outside with a tape measure. She first measures her shadow which is 7 feet 6 inches long. She then measures the shadow of the oak tree in the back yard which is a whopping 74 feet 3 inches. Not content to stop there, she also measures the shadow of her house (taking the longest measurement possible) and finds that it is 28 feet 6 inches. Using this information, find out how much taller the tree is than the house if Shanice's actual height is 5 feet 10 inches.

Answers

Answer 1

Answer:

29 feets 3 inches

Step-by-step explanation:

We need to obtain the actual height of oak tree :

Converting measurement to inches :.

1 Feet = 12 inches

Shanice height, SA = 5ft 10 in = (12*5 + 10) = 70 in

Shanice shadow, SS = 7ft 6in = (12*7 + 6) = 90 in

Tree shadow, TS = 74ft 3 in =(12*74 + 3) = 891 in

Let actual tree height = TH

Using the relation :

SA / SS = TH / TS

70 / 90 = TH / 891

Cross multiply :

90 * TH = 891 * 70

TH = (891 * 70) / 90

TH = 693 inches

Height of house = 28ft 6 in = (28*12 + 6) = 342 in

Height difference :

(693 - 342) in = 351 inches

351 in / 12 = 29 feets 3 inches


Related Questions

How do you solve this equation ? 25 − 3 x = 40

Answers

Answer:

x = -5

Step-by-step explanation:

25 - 3x = 40

3x = -15

x = - 5

Answer:

x = -5

Step-by-step explanation:

25 − 3x = 40

-3x = 15

x = -5

A community gym charges a $50 fee membership and a $50 monthly fee. Workout gym charges a $170 membership fee and a $40 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?

Answers

Answer:

12 months

Step-by-step explanation:

community gym = 50 + 50x

workout gym = 170 + 40x

you need to find out how many months it will take for them to be equal, so:

50+50x = 170+40x

solve for x

10x = 120

x = 12

after 12 months, they will cost the same

The radius of the front wheel of Paul's bike is 63cm. Paul goes for a cycle and travels 69.89km. How many full revolutions did Paul's front wheel complete?

Answers

Answer: [tex]17,649[/tex]

Step-by-step explanation:

Given

The radius of the cycle is [tex]r=63\ cm[/tex]

Distance traveled by Paul is [tex]68.89\ km[/tex]

Distance traveled by one complete revolution of wheel is equivalent to circumference of wheel i.e.

[tex]\Rightarrow 2\pi r\\\\\Rightarrow 2\times \dfrac{22}{7}\times 63\\\\\Rightarrow 396\ cm\ \text{or}\ \text{3.96}\ m[/tex]

No of revolution made by wheel

[tex]\Rightarrow n=\dfrac{69.89\times 1000}{3.96}\\\\\Rightarrow n=17,648.9899\approx 17,649[/tex]

Describe the main parts of a proof? ..

Answers

Answer:

Answer Expert Verified

Given; prove; statements; and reasons. Explanation: The given is important information we are given at the beginning of the proof that we will use in constructing the proof. The "prove" is the statement we are trying to prove

Answer:

Sample Response: Proofs contain given information and a statement to be proven. You use deductive reasoning to create an argument with justification of steps using theorems, postulates, and definitions. Then you arrive at a conclusion.

Step-by-step explanation:

Have the day you deserve :)

can someone help me on this please

Answers

Answer:

The answer is Option A

Step-by-step explanation:

Start by dividing 54 by 6 which will give you 9

then divide b² by b^5 which will give you at the denominator

then a^8÷a^-4

using indices...

=a^8-(-4)

=a^12

at the numerator

put everything together and you'll have...

9a^12/b³

A. [tex] \frac{9 \: {a}^{12} }{ {b}^{3} }[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]54 {a}^{8} {b}^{2} \div 6 {a}^{ - 4} {b}^{5} [/tex]

To solve the expression in a simpler way, single out the like terms.

Now, we have

[tex] \frac{54}{6} . \frac{ {a}^{8} }{ {a}^{ - 4} } . \frac{ {b}^{2} }{ {b}^{5} } \\ \\ = 9 \: {a}^{8 - ( - 4)} {b}^{2 - 5} \\ \\ (∵ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} ) \\ \\ = 9 \: {a}^{8 + 4} {b}^{ - 3} \\ \\ = 9 \: {a}^{12} {b}^{ - 3} \\ \\ ( \: or \: ) \\ \\ = \frac{9 \: {a}^{12} }{ {b}^{3} } \\ \\ (∵ {a}^{ - m} = \frac{1}{ {a}^{m} } )[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

A messenger has 6 pouches and 30 coins. The total must be less than 102 coins
How would you write this inequality? What are some solutions?

Answers

Answer:

6x+30<102

0 ≤ x ≤ 12 gives all possible solutions for this problem.

Answer:

Your total would be 180 so with the extra you could donate or something like that

Step-by-step explanation:

I hope this helped:)

Jose measured a small granola bar in the shape of a rectagular prism. It was 5 mm tall, 50 mm long, and 30 mm wide. He stacked the 2 granola bars on top of each other. What is the colume fot he 2 stacked granola bars

Answers

Answer:

15,000 mm^3

Step-by-step explanation:

volume of the 2 stacked granola bars = volume of one granola bar x 2

volume of one granola bar = Volume of a prism = base area x height

5 x 55 x 30 x 2 = 15,000

Can someone help? It's super urgent I need it solved!

Answers

Answer:

Y = +- √ x - 5

Step-by-step explanation:

1. write f (x) = x^2 +5 as an equation (y = x^2 + 5)

2. interchange the varibles (x = y^2 + 5)

3. Solve for Y

Unit Test Unit Test Review Active 6 8 9 5 7 10 3 4 1 N A direct variation function contains the points (-9, -3) and (-12, 4). Which equation represents the function? O y = -3x 3 O y=- o y= 2/3 O y = 3x​

Answers

Answer:

y = -7/3x -24

Step-by-step explanation:

I don't find this in the list of options. did you type everything correctly?

6.
Determine the range of the following test scores.
History Test 2 Scores (out of 100)
95
92
89
88
85
85
84
80
78
73
72
72
70
68
67
62
59
52
40
32
a.
95
b.
32
72
c.
d.
63

Answers

Answer:

63 is the range of the following test scores.

Step-by-step explanation:

1. The largest number is 95.

2. The smallest number is 32.

3. The range is the difference between the largest and the smallest number.

4. Subtract 95 - 32 which equals 63.

5. 63 is the range of the following test scores.

Given: line a ∥ line b. If m∠7 = 63° , then m∠4 = __ ? __.

Answers

Answer:

<1

Step-by-step explanation:

A regulation-size women's basketball has a diameter of 9.07 inches. What is the surface area of the basketball? Use 3.14 for π and round to the nearest tenth.

Answers

Answer:

258.3 sq inches

Step-by-step explanation:

Use the sphere surface area formula, SA = 4[tex]\pi[/tex]

The diameter is 9.07 inches, so the radius is 4.535 inches.

Plug in 3.14 as pi and 4.535 as r, and solve:

SA = 4[tex]\pi[/tex]r²

SA = 4(3.14)(4.535)²

SA = 258.3

So, the surface area is approximately 258.3 sq inches

Using the following equation, find the center and radius:

x2 −2x + y2 − 6y = 26 (5 points)

Question 13 options:

1)

The center is located at (−1, −3), and the radius is 36.


2)

The center is located at (1, 3), and the radius is 36.


3)

The center is located at (−1, − 3), and the radius is 6.


4)

The center is located at (1, 3), and the radius is 6.

(NO LINKS OR ABSURD ANSWERS)

Answers

Answer: 4) The center is located at (1, 3), and the radius is 6

Step-by-step explanation:

Solve the general equation of the circle.

x^2 -2x +1+ y^2-6y+9= 26+1+9 (x-1)^2+(y-3)^2=36=6^2

Hence, the coordinates of the center (1,3) And the radius will be 6

The center is located at (1,3) and the radius is 6.

What is center of the circle?

"The center is the point from which all of the points on the circle are the same distance."

What is radius of the circle?

"The radius is the exact distance from the center to any point on the circle."

We have

[tex]x^{2} -2x+y^{2}-6y = 26\\[/tex]

Add 1 and 9 on both sides of equation

⇒[tex]x^{2} -2x+1+y^{2}-6y+9 = 26+1+9[/tex]

⇒[tex](x-1)^{2} +(y-3)^{2}= 36[/tex]

⇒[tex](x-1)^{2}+(y-3)^{2}=6^{2}[/tex].......(1)

We know the Standard form of equation of the circle

[tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]

By comparing the standard form and equation (1)

Center (h, k) = (1, 3) and radius is 6

Hence, The center is located at (1,3) and the radius is 6.

Learn more about circle here

https://brainly.com/question/13658927

#SPJ2

PLEASE HELP ME PLEASEEEEEEEEE HELP

Answers

Answer:

Step-by-step explanation:

x^2+4x+3

we need to factorise this

So (x+1)(x+3)

X=-1 x=-3

Hope that helps.

Which grid shows only a translation of the shaded polygon to create the unshaded polygon?
A

B

C

D

Answers

D because the shape match up to the question

A_____ function is a function that can be expressed as the quotient of two polynomial functions in wich the denominator does not equal zero. A.rational B.division C.relationship D.polynomial​

Answers

Answer:

rational

Step-by-step explanation:

that is literally the definition of a rational number, just change the part where it says function to number and polynomial functions to number as well.

A castle guard is standing on the opposite side of an 8-foot moat and wants to reach a window that is 15 feet above the ground. The guard
props a ladder against the castle wall to form a right triangle as shown. Approximate the length of the ladder needed to reach the window to
the nearest tenth of a foot.

Answers

Using the Pythagorean Theorem, it is found that the length of the ladder needed to reach the window is given by:

a. 17.0 ft.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

In this problem, the length of the ladder in feet is the hypotenuse, considering legs [tex]l_1 = 8, l_2 = 15[/tex].

Hence:

[tex]h^2 = 8^2 + 15^2[/tex]

[tex]h = \sqrt{8^2 + 15^2}[/tex]

h = 17.0 ft.

More can be learned about the Pythagorean Theorem at https://brainly.com/question/26396675

#SPJ2

28. Barrett's mom has a flower vase that is shaped like a perfect cylinder.
The vase has a height of 9 inches, and its radius is 4 inches. What is the
total volume of water that the flower vase can hold?

Answers

Answer:

Vase volume is 452.16 in³

Step-by-step explanation:

The question asks for the volume of a cylinder of radius r and height h.  The relevant formula is V = (pi)(r)^2*h

With h = 9 in and r = 4 in, that max volume (of water) is

V = (3.14)(4 in)^2*(9 in) = 452.`16 in³

For two positive real numbers a and b, which may be equal, determine the smallest possible value of a/b + b/a​

Answers

well what i got was 9/2



PLS help me with this. And I am so sorry if im troubling you

Answers

Answer:

a=70 vertically opp angles

b=80  linear pair

c=100   corresponding angles

d= 80 linear pair with c

e=  180 -a-d

=180-70-80

=30

please help im desperate no. 48 and 49​

Answers

Answer:

48. option C : Substitution

49. Option D :  ( 3, 6)

Step-by-step explanation:

3x + y = 15       ------------- ( 1 )

      y = 2x  ------------------- ( 2 )

Substitute ( 2 ) in ( 1 ) :

3x + y = 15

3x + 2x = 15

5x = 15

[tex]x = \frac{15}{5} = 3[/tex]

Substitute x in ( 2 ) :

y = 2x

y = 2 × 3 = 6

The solution to the system of equation is ( 3 , 6 )  

Answer:

C and (3, 6 )

Step-by-step explanation:

(48)

Since given y = 2x the best method of solving is by substitution C

(49)

Given the 2 equations

3x + y = 15 → (1)

y = 2x → (2)

Substitute y = 2x into (1)

3x + 2x = 15

5x = 15 ( divide both sides by 5 )

x = 3

Substitute x = 3 into (2) and evaluate for y

y = 2x = 2 × 3 = 6

solution is (3, 6 )

Determine a function a(w) that models the area of the top surface of the swimming pool in terms of the width , w

Answers

Answer:

[tex]A(w) = (40 - w) * w[/tex]

Step-by-step explanation:

Given

[tex]P = 80[/tex] ---- perimeter

Required

Write the area as a function of width

The perimeter of a rectangle is:

[tex]P =2(l + w)[/tex]

Where

[tex]l \to length\\ w \to width[/tex]

So, we have:

[tex]80 = 2*(l+w)[/tex]

Divide by 2

[tex]40 = l + w[/tex]

Make l the subject

[tex]l =40 - w[/tex]

The area of a rectangle is:

[tex]A = l * w[/tex]

Substitute: [tex]l =40 - w[/tex]

[tex]A = (40 - w) * w[/tex]

Hence, the function is:

[tex]A(w) = (40 - w) * w[/tex]

help me please i don't know what i'm doing please help






























-9
9

Answers

Answer: -1/9

Step by step explanation:

The common difference of an arithmetic sequence can be found by picking 2 consecutive terms, and subtracting the second from the first. For example, if I chose the terms 2 and 1 8/9, I would find the common difference by:

1 8/9 - 2, which is equal to -1/9.

You can confirm this by picking another pair of consecutive terms. Let's pick 1 7/9 and 1 2/3:

1 2/3 - 1 7/9 = -1/9, as 1 2/3 = 1 6/9, so 1 6/9 - 1 7/9 = -1/9

Comparing Perimeter and Area
Compare the perimeter and area of the original figure to
the perimeter and area of the reduced figure using the
scale factor
Which statements are true about the comparison
between the two figures? Check all that apply.
The scale factor is 2.
The scale factor is
2.
6
The perimeter of the model is the product of the
scale factor and the perimeter of the original
rectangle
The area of the reduced figure is half the area of
the original figure
1
The area of the reduced figure is
times the
3
area of the original figure,
Intro
Done

Answers

Ummmm Sorry no one can answer this without knowing the Information

Someone help me with this please

Answers

Answer:

Hi, there the answer is -1

Step-by-step explanation:

please evaluate 18-18÷3-5​

Answers

Answer:

[tex]=7[/tex]

Step-by-step explanation:

18 - 18 ÷ 3 - 5 =

Divide 18 ÷ 3 first because you have to divide before subtracting.

18 - 6 - 5 =

12 - 5 =

= 7

Hope this helps

Answer:

7

Step-by-step explanation:

thanks for the pts

✌️❤️✌️

Given a standard six-sided die, what is 1 point the probability of rolling a 2? Please use a fraction bar (/) OR a colon (:) to represent your answer.

Answers

Answer:

1/6

Step-by-step explanation:

We know that a die has 6 sides. What would be the probability to roll 1 of those sides? (to rephrase the question)

well. the probability to roll one of the sides on a 6 side dice is 1/6, 1 side on the 6 sided die.

Answer:

1/6

Step-by-step explanation:

There are six possible outcomes when rolling a die

1,2,3,4,5,6

P(rolling a 2) = number of outcomes that is a 2/ total outcomes

                     = 1/6

One limitation of pre-operational thought is the belief that non-living objects have life-like qualities?

Answers

Answer:

Animism

Step-by-step explanation:

Animism is often a major idea or thought which is developed in a child preooperational stage according to paiget's theory of cognitive development where a child's learning is driven and derived from by symbols. At this stage, a child often relates with their toys, and other inanimate objects they come across as though they were real, manipulating and transforming them to form different things including relating with these manipulated objects like they were living. This is because at this stage, a child cannot use cognitive or logic to make distinctions.

Explain how geographic factors impacted the early river valley civilization.

Answers

Following are the Geographical factors impacted the development of early river valley civilizations:

Ample water resources help them to feed, bath, wash and to do so many domestication works.

River valley means fertile plains, which is so good for agriculture as they can grow lots of different varieties of crops. They didn't have to be depend upon rain.

It helped in transportation, which were used for trading and movement from one place to another.

It protects them from enemy as at a time so many person can't attack over the residing civilization.
The most obvious way is that places with fertile soil and predictable water supplies had an advantage for growing crops, so they could support larger human populations. Many of the first civilizations were in river valleys because of this.

if the sum of a number and half of it is 30. find the number.​

Answers

Answer:

20

Step-by-step explanation:

Let us represent the number as x. In a similar sense, half the number would be [tex]\frac{x}{2}[/tex]. We know that their sum is 30, so we can write the following equation:

[tex]x+\frac{x}{2} =30\\2x+x=60\\3x=60\\\fbox{x=20}[/tex]

I hope this helps! Let me know if you have any questions :)

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