Atalien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow casts a 32 feet long shadow. What is the height of the tree?

Answer:

a. x = 14 (see explanation)

b. the arrows along the lines

Step-by-step explanation:

The relationship of these two expressions is Same Side, which means their sum is 180.

plugging in

108 + 4x + 16 = 180 | Given

124 + 4x = 180 | Add the numbers

4x = 56 | Subtract 124 from both sides

x = 14 | Divide both sides by 4

Answer:

m+1

Step-by-step explanation:

1/3(9 - 6m) + 1/4 (12m-8)

Distribute

1/3 *9  - 1/3 *6m  + 1/4 * 12m - 1/4 *8

3 -2m + 3m -2

Combine like terms

-2m+3m +3-2

m+1

Answer:

37.68

Step-by-step explanation:

Answer:

D on edge

Step-by-step explanation:

Got it right on edge

The polar form of the given complex number is:

[tex]W = \sqrt{12}* e^{-i*0.52}[/tex]

Here we have:

W = -3 + √3i

To get the polar form we first need the module of W it is:

|W| = √( (-3)^2 + (√3)^2) = √12

And now we need to find the bearing, that is given by the Arctangent of the quotient between the imaginary part and the real part.

Arctan(√3/-3) = -0.52 rad

Then the polar form is:

[tex]W = |W|*e^{-i*0.52} = \sqrt{12}* e^{-i*0.52}[/tex]

If you want to learn more about complex numbers:

https://brainly.com/question/10662770

#SPJ2

Answer:

Equation: $83=5w+25 and 12 walks more

Step-by-step explanation:

Here is an equation: $83=5w+25

The $83 on the left represents the $83 goal for the bike (or the total amount of money that Taylor needs)

The 5w represents that Taylor earns $5 per time she walks the dog, with the w being the number of walks.

The +25 shows that Taylor has already earned $25 from walking the dog. (Not sure if you need it, but the $25 took 5 dog walks –– 5•5=25)

To solve:

83 = 5w + 25 –– Subtract 25 from both sides to get the variable term alone

58 = 5w –– Divide both sides by 5 to get w alone

11.6 = w –– Round this up to 12 because you can't really do 3/5 of a walk (this means Taylor needs to walk the dog 12 more times to earn enough to buy the bike)

Check:

83=5w+25 –– Replace w with 12

83=5(12)+25 –– Multiply

83=60+25 –– Add

83=85 –– This shows she will have $2 left over

Answer:The required time taken by her to read a 400 page book is 13 hours and 20 minutes.

Step-by-step explanation:Given that Lauren took 12 hours to read a 360 page book.

We are to find the time taken by her to read 400 page book at the same rate.

We will be using the UNITARY method to solve the problem.

We have

Time taken by Lauren to read 360 page book = 12 hours.

So, the time taken by Lauren to read 1 page book will be

Therefore, the time taken by Lauren to read a 400 page book is given by

Thus, the required time taken by her to read a 400 page book is 13 hours and 20 minutes.

Answer:

c. none of the above

Step-by-step explanation:

Answer:

2 -1 -2?..

Step-by-step explanation:

Answer:

The vertex is (0, -1)

The Axis of symmetry is x = 0

Answer:

C. [tex]\frac{9}{14}[/tex] , 9:14 , or 9 to 14

Step-by-step explanation:

With there being 9 teachers and 5 aides, the total number of adults is 14, leaving a fraction of [tex]\frac{9}{14}[/tex] , 9 teachers and 14 adults. Checking to simplify, there are no shared values by 9 and 14, so it is in it's simplest form.

Answer:

x: 1

y: 20

x: 2

y: 17

x: 3

y: 14

x: 6

y: 5

Answer: yes because you can put it as a fraction like 214/100 or more simplified if you needs or wanted to.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope is obviously 1, and y-intercept is 1

y = x + 1

Answer:

well algebra is basically about variables.

This is because you're assigning an equation or a number to a letter.

Exponents- that I don't really and inequalities

Answer:

465

Step-by-step:

500-35=465

Answer:

two sides are 39.5, and the other two sides are 40.5

Step-by-step explanation:

x + x + x + 1 + x + 1 = 160

4x + 2 = 160

4x = 158

x = 39.5

Step-by-step explanation:

[tex] \frac{8}{6} = \frac{x}{3} \\ x = \frac{3 \times 8}{6} = 4[/tex]

Answer:

113 cm

Step-by-step explanation:

V=4/3pi(3)^3

Answer: i think its 55 but im not sure

Answer:

33 inches tall (see below)

Step-by-step explanation:

You can make a ratio to simplify the situation:

  75 in. tall                 x in. tall

----------------------  =  ---------------------

50 in. shadow       22 in. shadow

Cross multiply:

75 (22) = 50 (x)

1650 = 50x

33 = x

x = 33 in. tall

sooo the answer is: - p -30

4p - 5 (p + 6)

first we distribute:

4p + (-5)(p) +  (-5)(6)

4p + -5p + -30

combine like terms:

(4p + -5p) +( -30)

          -p  +  -30

        =  -p -30

Answer: .NET Framework is a software framework developed by Microsoft that runs primarily on Microsoft Windows. It includes a large class library called Framework Class Library and provides language interoperability across several programming languages.

Answer:

Net is a two-dimensional pattern of a three-dimensional figure that can be folded to form the figure. In other words, net is a flattened three-dimensional figure which can be turned into the solid by folding it.

Step-by-step explanation:

like this image right here

Answer:

14(4n - 5)

Step-by-step explanation:

The GCF of 56 and 70 is 14

56/14 = 4

70/14 = 5

Place the GCF outside the parenthesis

14(

and keep the n on 56 and put it on 14, = 14n,

14(4n

then keep the subtraction sign and 5 and put it in the parenthesis

14(4n - 5)

i hope that maked sense and helped you! (and could i have brainliest if possible it would really help me!)

Step-by-step explanation:

the answer is:

180-48= 132°

Answer:

i hope this helps you :))

Step-by-step explanation:

132

Linear pairs always equal 180 degrees.

Therefore, Angle ABC + Angle CBD =180.

We already know Angle CBD is 48.

Therefore, Angle ABC + 48 =180

Subtraction Property of Equality:

Angle ABC = 180-48= 132 Degrees.

Answer:

3 ≤11 ≤ 11

Step-by-step explanation:

3x-4 = 2x +1

3x-5 = 2x

x-5 = 0

x= 5

3 ≤11 ≤ 11

Answer:

I believe it is 90.43% rounded to the nearest hundredth.

Step-by-step explanation: