One afternoon, Olive, who is 2 feet 3 inches tall, casts a shadow that is 6 feet 1 inch long. At the same time of
the day, a nearby tree casts a shadow that is 12 feet long. Olive reasons she can figure out the height of the
tree.
What is the height of the tree in feet?

Answers

Answer 1

Answer:

4.5 feet

Step-by-step explanation:

Line AB || Line CD {sun height are parallel}

Angle ACB parallel to Angle DEC = 90°

Triangle ABC is parallel to Triangle DCE

12/61 * 2.5

=4.5 feet


Related Questions

Fill in the blank. In the triangle below, x=__. Round your answer to two decimal places.

Answers

Given:

The figure of a right triangle.

To find:

The value of x.

Solution:

In a right triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In the given right angle triangle,

[tex]\tan 52^\circ=\dfrac{x}{35}[/tex]

[tex]1.2799\times 35=x[/tex]

[tex]44.7965=x[/tex]

Approximate the value to two decimal places.

[tex]x\approx 44.80[/tex]

Therefore, the value of x is about 44.80 units.

which is the correct classification square root of 32?

Answers

Answer:

5.65

Step-by-step explanation:

But if you need to round it would be 6.

Hope this helps!

Good Luck!

What is the value of x?

Answers

Hope this help!!!

Have a nice day!!!

The area of a circle is 4π ft². What is the circumference, in feet? Express your answer in terms of \piπ.

Answers

Answer:

C = 4 pi ft

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

Solving for r

4 pi = pi r^2

Dividing each side by pi

4 = r^2

Taking the square root of each side

sqrt(4) = sqrt(r^2)

2 = r

Now we can find the circumference

C = 2 * pi *r

C = 2*pi*2

C = 4 pi ft

ILL MARK FIRST CORRECT ANSWER BRAINLIEST!!!!

The balance in my account was -40 dollars. I deposited 65 dollars. What is my balance now?

Answers

Answer:

$25

Step-by-step explanation:

-40 + 65 = 25

Hope this helps

If you apply the changes below to the cubic parent function, F(x)=x3, what is the equation of the new function if it reflects across the y-axis and vertically stretches by multiplying by 7

Answers

Answer:

g(x) = 7(-x)³

Step-by-step explanation:

The cubic parent function is given as; f(x) = x³

Now, we are told that it reflects across the y-axis. This means that the new function will take the form;

g(x) = f(-x)

Thus, the new function is;

g(x) = (-x)³

Now,we are told that this new function stretches by multiplying by 7. Thus, we now have;

g(x) = 7(-x)³

Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)

Answers

The triangles are congruent by using SAS.
We know these triangles are congruent by looking at the information given. The bottom sides have the same lengths, giving us one part of SAS.

We can also see an a right angle is given to us at the bottom, this automatically means the left angle is also a right angle. This is the angle of SAS.

Lastly, we know they share another side because they’re sharing the same side exactly.

First, Diana scores 12 points in total with three arrows. On her second turn, she scores 15 points. How many points does she score on her third turn?

Answers

Answer:

Third turn point = 21 points

Step-by-step explanation:

Given:

First turn point = 12

Second turn point = 15

Find;

Third turn point

Computation:

First turn point = 12

Assume;

Point for outer circle = a

Point for inner circle = b

So,

3a = 12

Point for outer circle = 4 point

Second turn point = 15

So,

2a + b = 15

2(4) + b = 15

Point for inner circle = 7

Third turn point = 3 x 7

Third turn point = 21 points

A car can travel 76 miles on 4 gallons of gasoline. How far can it travel on 8
gallons?

Answers

Answer:

152 gallons

Step-by-step explanation:

76÷4=19

19x8=152

Answer:

152 miles

Step-by-step explanation:

76 x 2 = 152

Please hurry

Find the value of cos P rounded to the nearest hundredth, if necessary

Answers

Answer:

cosP = 4/5

Step-by-step explanation:

cosP= b/h = b/√(b²+p²) = 24(√(24²+18²)= 24/30= 4/5

Please help me, the answer is v=24, but I need working out

Answers

Answer:

v=24

Step-by-step explanation:

V= 3[tex]\sqrt{10^{2} - 6^{2} }[/tex]

V= 3[tex]\sqrt{100-36}[/tex]

V= 3[tex]\sqrt{64}[/tex]

V= 3×8

V= 24

Jacob buys 8 copies of a book for presents for friends. It costs her a total of $119.60. Write an equation that can be used to find out how much each book, b, was sold for.

Answers

Answer:

8b=119.60

Step-by-step explanation:

8b=119.60

B=14.95

what's the length of each side using the Pythagorean theorem, round to the nearest hundredth if necessary. Will give brainliest ​

Answers

Answer:

X.2 y C 5

Step-by-step explanation:

the dots please

Calculate the length of AC, to the nearest tenth of a centimeter.

Answers

Answer:

AC ≈ 11.0 cm

Step-by-step explanation:

Using Pythagoras' identity in Δ CDE and Δ ADE

CE² + DE² = DC²

CE² + 7² = 8²

CE² + 49 = 64 ( subtract 49 from both sides )

CE² = 15 ( take the square root of both sides )

CE = [tex]\sqrt{15}[/tex]

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

AE² + DE² = DA²

AE² + 7² = 10²

AE² + 49 = 100 ( subtract 49 from both sides )

AE² = 51 ( take the square root of both sides )

AE = [tex]\sqrt{51}[/tex]

Then

AC = AE + CE = [tex]\sqrt{15}[/tex] + [tex]\sqrt{51}[/tex] ≈ 11.0 cm ( to the nearest tenth )

i need help pls help

Answers

Answer:

33/20

Step-by-step explanation:

I dont know if that was a minus or a plus but it looked like a minus sorry if its wrong

Answer:

0.475

Step-by-step explanation:

It makes it easier for people to turn fraction to decimal.

So, 1/4 in decimal is 0.25.

1.9•0.25=0.475

Sorry if I'm wrong I'm in 8 grade I learned it in this year


Find the polynomial function with the given zeros.
X = 2, X = 5, X = -1 and x = -3

Answers

(x), (x-2), (x-5), (x-5), (x-7) and (x-9) are NOT zeros, they are FACTORS. The zeros are 0, 2, 5, 5, 7, and 9. Since 5 is listed twice it is said to be a zero of multiplicity 2. To find a polynomial with those zero, we start by setting x equal to each zero: x=0, x=2, x=5, x=5, x=7, and x=9. Then we subtract the zero on the right from both sides of each of those 6 equations: x-0=0, x-2=0, x-5=0, x-7=0, x-9=0 Then we use the principle that equals multiplied by equals gives equals. So we multiply all the left sides together and all the right sides together. (Multiplying all the right sides together just gives 0.) (x-0)(x-2)(x-5)(x-5)(x-7)(x-9) = 0 And since x-0 is just x, we have (x)(x-2)(x-5)(x-5)(x-7)(x-9) = 0 Those are the factors you gave. But again, the zeros are 0,2,5,5,7,9

(High points) please solve with explanation

Answers

Answer:

it's my own writing

I have done

please make me brainlist

Step-by-step explanation:

I hope this helps u

have a nice day ✌❤☘

Can i plz get some help been stuck for while
What is the volume of the shape shown

Answers

Answer:

Yea sure its 102.5meters squared

Question 6 of 9 Last week, Hayden rode his bike 5 times. Each time, he biked a 3-mile path, a 2-mile path, and a 2 1 4 2 1 4 -mile path. Which expression represents the total number of miles he biked? A. 5 × ( 3 + 2 + 2 1 4 ) 5 × ( 3 + 2 + 2 1 4 ) B. 5 + ( 3 × 2 × 2 1 4 ) 5 + ( 3 × 2 × 2 1 4 ) C. 5 × ( 3 × 2 × 2 1 4 ) 5 × ( 3 × 2 × 2 1 4 ) D. 5 + ( 3 + 2 + 2 1 4 )

Answers

Answer:

A. 5 × ( 3 + 2 + 2 1/4 )

Step-by-step explanation:

Hayden rode his bike 5 times. Each time, he biked a 3-mile path, a 2-mile path, and a 2 1/4 -mile path.

The expression represents the total number of miles he biked is calculated as:

The number of times he rode his bike × (sum of the number of miles he biked)

= 5 × ( 3 mile + 2 miles + 2 1/4 miles)

= 5 × (3 + 2 + 2 1/4)

Therefore, Option A is the correct option

BRAINILEST PLZZZZZzzzzz

Answers

Answer:

Base:3

Height:5

Area= 15

Step-by-step explanation:

Formula=BxH

3x5=15

PLEASE HELP QUICK
graph and show work and i will give 30 points

Answers

The equation is
4x-2y=-2
4x=2y-2
4x+2=2y
2x+1=y

May I please have help ?! Thanks ❤️

Answers

b is the correct answer

What is the approximate measure of the leg opposite of angle A???

Answers

Answer:

8.7 cm

Step-by-step explanation:

take 60 degree as reference angle

using sin rule

sin 60=opposite/hypotenuse

[tex]\frac{\sqrt{3} }{2}[/tex]=opposite/10

[tex]\frac{\sqrt{3} }{2} * 10[/tex]=opposite

[tex]\sqrt{3} *5[/tex] = opposite

[tex]5\sqrt{3}[/tex] =opposite

8.66=opposite

8.7 =opposite


Plot the points A(3, 10), B(-3,5) and C(-1,-6) on the graph paper. Join them in pairs and identify the figure so formed.​

Answers

9514 1404 393

Answer:

  obtuse scalene triangle

Step-by-step explanation:

Connecting 3 points will make a triangle. The sides are different lengths, and the largest angle is more than 90°. The figure is an obtuse scalene triangle.

quadratic formula?

2x^2-4x+2=0
A. 1
B. -4
C. 6
D. -2
E. 2

Answers

The answer is A.) One

Solve using the quadratic formula
2x^2+x+67=0

Answers

Answer:

[tex]\displaystyle x=\frac{-1 \pm i\sqrt{535}}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Multiple RootsStandard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

Algebra II

Imaginary Root i = √-1

Step-by-step explanation:

Step 1: Define

Identify

2x² + x + 67 = 0

a = 2

b = 1

c = 67

Step 2: Solve for x

Substitute in variables [Quadratic Formula]:                                                  [tex]\displaystyle x=\frac{-1 \pm \sqrt{1^2-4(2)(67)}}{2(1)}[/tex]Multiply:                                                                                                             [tex]\displaystyle x=\frac{-1 \pm \sqrt{1^2-4(2)(67)}}{2}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle x=\frac{-1 \pm \sqrt{1-4(2)(67)}}{2}[/tex][√Radical] Multiply:                                                                                           [tex]\displaystyle x=\frac{-1 \pm \sqrt{1-536}}{2}[/tex][√Radical] Subtract:                                                                                          [tex]\displaystyle x=\frac{-1 \pm \sqrt{-535}}{2}[/tex][√Radical] Simplify:                                                                                           [tex]\displaystyle x=\frac{-1 \pm i\sqrt{535}}{2}[/tex]


The difference of two positive numbers is 14. The larger is twice the smaller decreased by 4. Find the two numbers.
X (smaller value)
X (larger value)

Answers

Answer:

the answer is given on the picture

CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.

Answers

Answer:

7/20

Step-by-step explanation:

Take the time for history assignment and subtract the time for her English assignment

3/5 - 1/4

Get a common denominator of 20

3/5 *4/4 = 12/20

1/4 * 5/5 = 5/20

12/20- 5/20

7/20

What is the perimeter of the parallelogram???

Answers

answer: 22

explanation: the easiest way is to separate one of the diagonals into a triangle and use the pythagorean theorem.
a^2 + b^2 = c^2
4^2 + 3^3 = c^2
16 + 9 = c^2
25 = c^2
5 = c
you now know that both of the diagonals have a length of 5.
by counting the units on the two straight, you know that their length is 6.
6 + 6 + 5 + 5 = 22

Ciara is naking a new outfit she needs 2 1/2 yards of the fabric for the shawl and 1 3/4 yards of fabric for the dress. If she has 3 yards of fabric,how much more does she needs?If the dance outfit is charged at $16 per yard how much will the dance outfit cost

Answers

Answer:

1 1/4 yards

$20

Step-by-step explanation:

The amount of fabric more that she needs can be determined by subtracting the sum of the yards needed for the shawl and the dress from the fabric she has

sum of the yards needed for the shawl and the dress =

[tex]2\frac{1}{2} + 1\frac{3}{4}[/tex]

[tex]3\frac{2 + 3}{4}[/tex] = [tex]3\frac{5}{4}[/tex] = [tex]4\frac{1}{4}[/tex]

Yards needed

[tex]4\frac{1}{4} - 3[/tex] = [tex]1\frac{1}{4}[/tex]

cost of dance outfit = $16 x [tex]1\frac{1}{4}[/tex]

[tex]\frac{5}{4}[/tex] × $16  = $20

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