62. Height Kirsten places her surveyor's telescope on the top of
a tripod 5 ft above the ground. She measures an 8° elevation
above the horiz&ntal to the top of a tree that is 120 ft away.
How tall is the tree?
8°
K
120 ft
15 ft

Answer:

Step-by-step explanation:

a) Let's [tex]x[/tex] the length of the side of the small square.

Thus,

[tex]x^{2} + (\sqrt{40})^2 = (\sqrt{50})^2[/tex]

[tex]x^{2} + 40 = 50[/tex]

[tex]x^{2} = 50 - 40[/tex]

[tex]x^{2} = 10[/tex]

[tex]x = \sqrt{10}[/tex]

[tex]x=3.16[/tex]

b) Now, the area of the small square is

[tex]A= x^{2}[/tex]

[tex]A=(3.16)^2[/tex]

[tex]A=9.99[/tex]

Answer:

D

Step-by-step explanation:

because the liter things measure liquids and the gram one measures mass

Answer:

centimeter (cm)

Step-by-step explanation:

centimeters are the only measurement out of the answer choices that measures length. Milligrams are a measure of weight, and liters and milliliters both measure volume of a liquid.

Answer:

Mika's estimated the sum to be 216. The actual sum is 216.27

Step-by-step explanation:

Mika:

189.27 = 189

15.8 = 16

11.2 = 11

189 + 16 + 11 = 216

Actual:

189.27 + 15.8 + 11.2 = 216.27

Answer: 12.6 years

Step-by-step explanation:

Answer:

40 square units

Step-by-step explanation:

Area of triangle = 1/2×b×h

= 1/2×10×8

= 40 square units

Answer:

15/2

Step-by-step explanation:

5 3/4 - 1/6x = 4 1/2

move the variable to it's own side.

5 3/4 - 4 1/2 = 1/6x

change the subtracting side to have common denominators

5 3/4 - 4 2/4 = 1/6x

1 1/4 = 1/6 x

divide both sides by 1/6, same thing as multiplying both sides by 6 (reciprocal)

30/4 = x

reduce: 15/2 = x

The value of x should be 15/2.

Since

5 3/4 - 1/6x = 4 1/2

So, it can be like

5 3/4 - 4 1/2 = 1/6x

Now

5 3/4 - 4 2/4 = 1/6x

1 1/4 = 1/6 x

Now we have to divide both sides by 1/6

So,

30/4 = x

x = 15/2

Learn more about an equation here: https://brainly.com/question/24607813

Answer:

2x + 2x =  4x

Step-by-step explanation:

Answer:

When there is no width, the area is 0m²

Step-by-step explanation:

Expressing the area of a rectangle as a function of its width:

Area of a rectangle = Length * width

Since the area of rectangle is related to the width by the multiplication operatkr. We can conclude from the options given that ; if the value of width = 0 ; the the area of rectangular plot = 0

When x :

Area = Length * width

Area = Length * 0

Area = 0

Area = Length * 0

Aea = 0

Answer:

1,2, and 4 are the correct answers

Step-by-step explanation:

Answer:

1. The sides that were parallel in the pre-image are parallel in the image.

2. The angle measures of ABCD are equal to the corresponding angle measures of A’B’C’D’.

4. The segments connecting the center of rotation to the corresponding vertices create a 270° angle.

Step-by-step explanation:

Edge 2021

9514 1404 393

Answer:

Step-by-step explanation:

The Pythagorean theorem (see Hint) tells you the length of the hypotenuse (c) is ...

  c² = 1² + 1² = 2

  c = √2 ≈ 1.4142136 . . . units

The estimated value of the length of the hypotenuse is 1.41 units.

__

Of course the shaded square will have an area that is the square of that value:

  area = s² ≈ 1.41² ≈ 1.99 . . . . . rounded to hundredths

The estimated area of the square is 1.99 square units.

__

Additional comment

Of course, we don't have to estimate. We can use the exact value of the side length to determine the shaded square has an area of ...

  area = s² = (√2)² = 2 . . . . exactly

We can also get there by recognizing that the lengths of 1 represent half the length of each of the diagonals of the square. That is, the square's diagonals are both of length 2. The area is half their product, so is (1/2)(2·2) = 2 square units.

Answer:

a = 15, b = -14

Step-by-step explanation:

From the question,

a/5 - b/2 = 10

Multiply all through by 10

(a/5)10 - (b/2)10 = 10×10

2a - 5b = 100...................... Equation 1

a - b = 29 ........................ Equation 2

Solving equation(1 ) and equation (2) simultaneously

using elimination  method,

multiply equation (2) by 2.

2a - 2b = 58.................... Equation 3

Substract equation 3 from equation 1

2a - 2a -5b-(-2b) = 100-58

0 - 5b+2b = 42

-3b = 42

b = 42/-3

b = -14.

Substitute the value of b into equation 2

a - (-14) = 29

a +14 = 29

collect like terms

a = 29-14

a = 15.

Hence, a = 15, b =-14

Answer:

The answer is "[tex]240 \ m^2[/tex]"

Step-by-step explanation:

please find the given diagram image file in the attachment.

In this question, the surface area model includes two things that are square pyramid is equal to the area of the square base and the area of the flour lateral triangle:

[tex]SA= 10\times 10 +4 (\frac{1}{2}\times (10) \times (7))\\\\[/tex]

     [tex]= 100 +4 (\frac{1}{2} \times 70)\\\\= 100 +4 (35)\\\\= 100 +140\\\\=240 \m^2\\\\[/tex]

The surface area of the model is [tex]240 \ m^2[/tex].

Answer: I’m pretty sure it’s y=1/x+5 +2

Step-by-step explanation:

The graph of Function  [tex]y = \frac{1}{x-5}+2[/tex] is same as the graph of [tex]y = \frac{1}{x}[/tex]

"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner."

"Function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)."

We have

[tex]y = \frac{1}{x}[/tex]

The function is shifted 5 units right

⇒[tex]y = \frac{1}{x-5}[/tex]

The function is shifted 2 units up

⇒[tex]y = \frac{1}{x-5}+2[/tex]

Hence, function becomes  [tex]y = \frac{1}{x-5}+2[/tex]

Learn more about function here

https://brainly.in/question/610635

#SPJ2

Answer:

A: 907-789=p

B: 118 bought tickets but didn't go.

Step-by-step explanation:

907 is the people that bought the tickets, you subtract the people that did go which is 789 which would give you the people that didn't go but still bought tickets.

Answer:

z = 0.03

Step-by-step explanation:

0.3 z ÷  0.3 = 0.009 ÷ 0.3

z = 0.009 ÷ 0.3

alterinate form z 3/100, z = 3 x 10^-2

Answer:

6x

Step-by-step explanation:

3*2x=6x

Answer:

her

Step-by-step explanation:

Answer:

The rate of change is -300 meters per minute

Step-by-step explanation:

Here, we want to get the rate of change for the given situation

Firstly, we will need to collate the points

Let us have the points as:

(time, height)

The points are;

(10,4500) and (15,3000)

The formula for the slope m representing the average rate of change is;

m = (y2-y1)/(x2-x1)

m = (3000-4500)/(15-10) = -1500/5 = -300 meters/minutes

Answer:

square with sides of 6 in

Step-by-step explanation:

Tessellation is the arrangement of shapes in repeated patterns without gaps or overlapping.

Tessellation is usually done with regular polygons. Only three regular shapes can tessellate, these are equilateral triangle, regular square and regular hexagon. For other polygon to tessellate, more than one shape must be used. A octagon can be used to make tessellations if it is used together with a square.

Mark uses tiles with shape of octagon of sides 6 in. To fill the gaps, Mark have to uses a square with sides of 6 in

Answer:

Infinitely many

Step-by-step explanation:

Equation: 5x + 3(x - 1) = 10x - 2x - 3

1) 5x + 3x - 3 = 10x - 2x - 3

2) 8x - 3 = 8x - 3

3)  8x = 8x

4) x = x

Based on this information, it seems that the best answer would be infinitely many solutions.

Answer:

22.1

Step-by-step explanation:

77.35÷3.5=22.1

Have a wonderful day!

Answer:

(-3)^2

Step-by-step explanation:

You add 7 on both sides, giving you x^2 - 6x = 7

Then, take half of b, and square it. Giving you x^2 - 6x +(-3)^2 = 7

The answer will be (-3)^2 for this question, but this is not the full solution.

Hope this helped. Good luck on the rest!

Answer:

5

Step-by-step explanation:

because that is the correct answer

4 divided by 0.8 is equal to 5.

To divide 4 by 0.8 using place value, you can follow these way

Convert the decimal divisor, 0.8, into a whole number by multiplying both the tip and the divisor by a power of 10.

Since there's only one decimal place in0.8, you can multiply both figures by 10 to exclude the decimal

0.4 x  10 = 40( multiplying the tip by 10)

0.8 x 10 = 8( multiplying the divisor by 10)

Now we've the division problem as 40 divided by 8.

Divide the converted tip by the converted divisor

= 40 ÷ 8

= 5

Thus, 4 divided by 0.8 is equal to 5.

Learn more about Division here:

https://brainly.com/question/2273245

#SPJ6

Answer:

6x - 2 - 3x + 4

I think that would be it. I just multiplyed 2 by 3 and then 2 by - 1.

Edit:

The true answer would be 3x+2

The ratio is equivalent to 3:18 is 7:42.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Ratio = 3:18

         = 1: 6

1. 6:21

= 3:7

2. 5:20

= 1:4

3. 7:42

= 1:6

4. 12:2

= 6:1

Hence, the ratio is equivalent to 3:18 is 7:42.

Learn more about Ratio here:

https://brainly.com/question/13419413

#SPJ5

Answer:

I believe its G. 2x<8

Step-by-step explanation:

An open circle means that it is only less than OR more than, and since the arrow is pointing towards the left, it means that it is less than 8. I really hope this helps!