A fogpole casts a 13-foot shadow on the ground when the sun is at a 68° angle of elevation. Which of the following expressions can be used to determine the height (h), in feet, of the fogpole? (Assume the flagpole is perpendicular to the ground.) Draw a picture

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

You didn't include the choices but here is a solution

tan 68 = opp/adj = height / 13

13 Tan 68  = height of pole


Related Questions

find the volume of the pyramid. round to the nearest hundredth

Answers

Answer:

A. 17.35 mm³

Step-by-step explanation:

Volume of a Pyramid

[tex]V = \frac{1}{3}Bh[/tex]

V ... volume

B ... area of base

h ... height

The base of this pyramid is a square. Area of a square is side times side.

[tex]B = 3.5 \times 3.5[/tex]

Let's substitute in the formula.

[tex]V = \frac{1}{3}Bh\\\\V = \frac{1}{3}(3.5\times 3.5)(4.25)\\\\V = \frac{1}{3}(12.25)(4.25)\\\\V \approx 17.35417 \text{ mm}^3[/tex]

Now let's round to the nearest hundredth.

V = 17.35 mm³

440 meters is 14
of the way around the race track. How far is it around the whole race track?

Answers

Answer:

440x4=2200

Step-by-step explanation:

I'm guessing you meant 1/4, which is also known as 0.25, and if you know that 440 meters is equal to 1/4th of the whole race track you just have to multiply 440 by 4.

What is the probability of rolling two dice, and having a total of 8 dots showing? Express your answer as a percent
rounded to the nearest hundredth.
11.11%
15%
16.67%
13.89%

Answers

13.89%

The value of the first die can be any number except for 1 because even if the second die rolls a 6, the total will only be 7. This means that there is a 5/6 chance of rolling an appropriate number with the first die. The second die has a 1/6 chance of rolling any given number. Any given number can be added to only one of the five numbers from the previous die to equal an 8. As a result, both numbers must be multiplied.

5/6 x 1/6 = 5/36 or 13.89%

Find the product or type
"impossible".
[2 6 -7][5 -2 4]

Answers

The value of (26 - 7) and (5 - 24) when they're multiplied will be -399.

How to multiply the values?

From the information given, we are told to multiply (26 - 7) and (5 - 24). This goes thus:

= (26 - 7) × (5 - 24)

= 21 × -19

= -399

In this case, value of (26 - 7) and (5 - 24) when they're multiplied will be -399.

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14.Evaluate the expression 4x2+3y for x = 5 and y =6.

answer?

Answers

Step-by-step explanation:

Given: x=5 and y=6

=>4x2+3y

=> 8+3(6)

=> 8+18

=> 26

Hope it helps

The value of this expression is 58

           

Algebraic expression is a mathematical sentence that involves all mathematical operations.

In an algebra - a real number is always accompanied by some letter, which can represent a variable or unknown.

   

— To solve this expression, just: change the letters for the numbers and multiply/add.

             

Resolution

[tex]\large \sf 4x2+3y[/tex]

[tex]\large \sf 4 \cdot 5 \cdot 2 +3 \cdot 6[/tex]

[tex]\large \sf 40 +18[/tex]

[tex]\red{\boxed{\boxed{\green{\large \sf \ 58 \ }}}}\\[/tex]

Therefore, the value of this expression will be 58

what's the number before 277000​

Answers

The number is 276999

Guys, can you please correct my answer for Question #45 of The Quadratic Relations for me, please?

Answers

Answer:

[tex]y=3(x-7)^2[/tex]

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

Parent function

[tex]y=x^2[/tex]

Translated 7 units to the right

Subtract 7 from the x-value:

[tex]f(x-7) \implies y=(x-7)^2[/tex]

Vertically stretched by a factor of 3

Multiply the whole function by 3:

[tex]3f(x) \implies y=3(x-7)^2[/tex]

y=x²

Streched 7 units right means change in x

So new equation

y=(x-7)²

Vertically streched by 3

y=3(x-7)²

help me pleaseeeeeeeee

Answers

[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ 2^3~~ = ~~8\implies \log_2(8)~~ = ~~3[/tex]

Of all of the medium mirrors that were shipped, how many of them were broken? 68 78 164 208

Answers

68 we’re broken during shipping

Show problem set up for full credit.

Answers

Answer:

If the arcs are the same

4x+25=5x

x=25

So, QPR is 4(25)+25

QPR is 125

A quadratic function has zeros at 1 and -8. Which of the following could be the function?​

Answers

Answer:(x-1)(x+8)

Step-by-step explanation: You need to set it up as (x+y)(x+z) format. To get that you need to flip the zeroes making them the opposite. So the answer in this case would be (x-1)(x+8).

order the decimal greatest to least 8.31,8.295, 8.06,8.3

Answers

Answer:

Least 8.06, 8.295, 8.3, 8.31 Greatest

8.31, 8.3, 8.295, 8.06

Find the length of side x in simplest radical form with a rational denominator.
V10
X
60°
30°

Answers

Check the picture below.

Find point Z that partitions the directed line segment XY in the ratio of 2:1 where X(1, 2) and Y(7, 5). Show all steps.

!BRAINLIEST AND 5 STARS TO BEST ANSWER AND FULL EXPLANATION ONLY!

Answers

Hello, detailed answer is given below.

If you have any question(s), then feel free to ask in comments!

What should be added to both sides of this equation to solve for the variable?
P-33 = 17

Answers

Answer:

You add 33 on both sides to solve for the variable.

Step-by-step explanation:

For item numbers 7-11, tell what relationship exists between the measures of each pair of angles.​

Answers

Answer:

7-B (congruent)

8-D (supplement)

9-B (congruent)

10-B (congruent)

11-D (supplement)

Step-by-step explanation:

7- 1 and 3 are congruent using the corresponding angles theorem

8- they are supplements using the same side interior angle theorem

9- they are congruent using alternate interior angle theorem

10- they are congruent using the alternate exterior angle theorem

11- they are supplements using the same side exterior angle theorem

ur wlcm :)

brainliest?

How many sides do 2 nonagons and 3 decagons have in all?

Answers

Answer:

48 sides

Step-by-step explanation:

A nonagon has 9 sides

A decagon has 10 sides

10 + 10 + 10 = 30

9+9 = 18

30 + 18 = 48

48 sides in total

Give brainliest please!
Hope this helps :)

Sarah opened new savings account on Tuesday with a deposit of $70. She made a deposit of $30 on Friday and a withdrawal of $60 on Saturday. Which of the following expression represents her new account balance.

Answers

Answer:

x=70+30-60

Step-by-step explanation:

Word to my mother

can someone please help me with this

Answers

Answer:

[tex]d = \sqrt{109}[/tex]

Step-by-step explanation:

Use the distance formula.

[tex]\text{The distance between two points } (x_1, y_1) \text{ and } (x_2, y_2) \text{ is given by the formula:}\\d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Your points are (-4, 11) and (6, 8).

[tex]d = \sqrt{(-4 - 6)^2 + (11 - 8)^2}\\\\d = \sqrt{(-10)^2 + (3)^2}\\\\d = \sqrt{100 + 9}\\\\d = \sqrt{109}[/tex]

Is this an example of inductive reasoning, deductive reasoning, or neither?

At the grocery store Mia saw a sign indicating that 3 grapefruit cost $2.50, so Mia bought 3 grapefruit.

A. Inductive

B. Deductive

C. Neither

Answers

Since the specific conclusion is based on a general premise, this is a case of deductive reasoning.

What is deductive reasoning?

The term deductive reasoning has to do with the process of arriving at a specific conclusion based on a more general premise.

In this case, the conclusion arrived at was based on the fact that Mia saw a general sign that read that 3 grapefruit cost $2.50. Hence, this is a case of deductive reasoning.

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I inserted a photo please answer ASAP I will mark brainliest PLEASEEEEE

Answers

Answer:

B, C, D

Step-by-step explanation:

Square roots are not in polynomials

Solve |5x + 30| = 10x Identify the solution and an extraneous solution

Answers

Answer:

B

Step-by-step explanation:

the absolute value function always gives a positive result

However, the value inside can be positive or negative, that is

5x + 30 = 10x or - (5x + 30) = 10x

solving both

5x + 30 = 10x (subtract 5x from both sides )

30 = 5x ( divide both sides by 5 )

6 = x

or

- (5x + 30) = 10x

- 5x - 30 = 10x ( add 5x to both sides )

- 30 = 15x ( divide both sides by 15 )

- 2 = x

As a check

substitute these values into the equation and if both sides are equal then it is a solution.

x = 6

left side = | 5(6) + 30 | = | 30 + 30 | = | 60| = 60

right side = 10(6) = 60

Then x = 6 is a solution

x = - 2

left side = | 5(- 2) + 30 | = | - 10 + 30 | = | 20 | = 20

right side = 10(- 2) = - 20 ≠ 20

Thus x = - 2 is an extraneous solution

the table shows the cost of the daycare for Lucy's dog this week her dog went 3 full days of day care and 2 half days of day care write an expression for the total cost of this week day care then evaluate the expression

Answers

An expression for the total cost of the daycare for Lucy's dog this week is T = 3F + 2H and the total cost is equal to $114.

How to write an expression for the total cost?

In this exercise, you're required to write an expression for the total cost of the daycare for Lucy's dog this week. Thus, we would assign a variable to the cost for full-day and half-day day care as follows:

Let the cost for full-day be F.Let the cost for half-day be H.Let total cost be T.

Thus, the total cost of the daycare is given by:

T = 3F + 2H

Evaluating the expression, we have:

T = 3(28) + 2(15)

T = 84 + 30

T = $114.

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Decide whether quadrilateral ABCD with vertices 4(3,1), B(-1,-1) C(1,3), and D(5,5) is a rectangle, rhombus,
square, or parallelogram.

Answers

Answer: rectangle

Step-by-step explanation:

From the options, it is implied that it is a parallelogram.

From inspection, we can tell that not all the sides are congruent, so it is not a rhombus or a square.

To determine if it is a rectangle, we can use the slope formula to see if there is a pair of perpendicular sides (if this is the case, then this will be a parallelogram with a right angle, making it a rectangle)

[tex]m_{\overline{AB}}=\frac{1-0}{-4-(-3)}=-1\\m_{\overline{BC}}=\frac{4-1}{-1-(-4)}=1\\\therefore \overline{AB} \perp \overline{BC} \text{ because} \left(m_\overline{AB} \right) \left(m_{\overline{BC} \right)=1[/tex]

So, the most specific classification is a rectangle.

Calculate.
a) 130% of 220​

Answers

start off by saying:
130/100 * 220
so, the answer would be 286

this is as you simplify the fraction first by 10: 13/10 * 220
then you take out the ten on each side: 13 * 22
convert 130% to a decimal which is 1.3
then it’s simple math from there. multiply 220(1.3) and you get 286.

Which expression is equivalent to
(5x³)(4x) ³2

Answers

Answer:

640[tex]x^{6}[/tex]

Step-by-step explanation:

(5x³)(4x) ³2

(4x) ³ is the same as

4³ * x³ = 64x³

--

(5x³)(64x³)2

5*64*2 = 640

x³ * x³ = [tex]x^{6}[/tex]

640[tex]x^{6}[/tex]

ΔXYZ was reflected over a vertical line, then dilated by a scale factor of One-half, resulting in ΔX'Y'Z'. Which must be true of the two triangles? Select three options.

△XYZ ~ △X'Y'Z'
AngleXZY ≅ AngleY'Z'X'
YX ≅ Y'X'
XZ = 2X'Z'
mAngleYXZ = 2mAngleY'X'Z'

Answers

The options that are true of the triangles include:

∆XYZ ~∆X'Y'Z'AngleXZY ≅ AngleY'Z'X'XZ = 2X'Z'

How to illustrate the triangle?

It should be noted that triangle XYZ is reflected over a vertical line. Then, it's dilated by 1/2 to form XYZ.

This implies that the triangles are similar, the angles are congruent and the side length of XYZ is twice that of X'Z.

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Answer:

∆XYZ ~∆X'Y'Z'

AngleXZY ≅ AngleY'Z'X'

XZ = 2X'Z'

Step-by-step explanation:

took test

If f(x) =
(3 + x)
(x-3)
what is f(a + 2)?

Answers

Answer:

(a^2)+4a-5

Step-by-step explanation:

(3+a+2)(a+2-3)

(a+5)(a-1)

use FOIL or box method

5a-5+(a^2)-a simplifyes to

(a^2)+4a-5

What is the volume, in cubic centimeters, of a cylinder with a height of 5 centimeters and a base radius of 10 centimeters, to the nearest tenths place?

Answers

Answer:

The volume of the cylinder is approximately 1570.8 cm³.

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Geometry

Volume Formula [Cylinder]:
[tex]\displaystyle V = \pi r^2 h[/tex]

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify given variables.

h = 5 cm

r = 10 cm

Step 2: Find Volume

[Volume Formula - Cylinder] Substitute in variables:
[tex]\displaystyle V = \pi (10 \ \text{cm})^2 (5 \ \text{cm})[/tex][Order of Operations] Evaluate:
[tex]\displaystyle V = 500 \pi \ \text{cm}^3[/tex]Approximate:
[tex]\displaystyle V \approx \boxed{ 1570.8 \ \text{cm}^3 }[/tex]

∴ the volume of a cylinder whose height is 5 cm and radius is 10 cm is approximately 1570.8 cm³.

___

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Topic: Geometry

This is a dot plot of the number of text messages sent in a day by a sample of students at a local high school. The sample consisted of 30 students and was selected as representative of the population.

a. What do the six values ​​of 0 on the dot plot represent?
b. Since the sample is representative of the population, describe what you think the dot plot of the entire population will look like.

Answers

The six values of 0 shown on the dot plot represent that 6 students out of the 30 sampled did not send any text messages daily.

With the sample being representative of the population, a dot plot for the entire population would have the same proportions as the sample but with a larger number of students.

What does the dot plot show?

The number of dots above a number indicates the number of students who send that number of text messages daily.

As there are 6 dots over 0, it means that 6 students do not send any text messages daily.

Seeing as the sample is representative of the entire population, a dot plot for the whole school would have a larger number of dots over each number but the proportions would be the same as the sample.

For instance, the proportion of total students who don't send any messages per day is:

= 6 / 30

= 20%

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