10. To find the height of a tower, a surveyor positions a transit that is 2 m tall at a spot
35 m from the base of the tower. She measures the angle of elevation to the top of the tower to be 51°. What is the height of the tower, to the nearest meter? (show work pls)

Answer:

3/4

Step-by-step explanation:

Tangent is opposite/adjacent side. To get the adjacent side, use the Pythagorean Theorem:

a² + b² = c²

3² + b² = 5²

9 + b² = 25

b² = 16

√b² = √16

b = 4

tan(O) = opposite/adjacent side

tan(O) = 3/4

Answer:

[tex]x = 1\frac{2}{5}[/tex][tex]x = 1\frac{2}{5}[/tex]

Answer:

Rounding can be referred to as a replacement of a number with another number that is equivalent to it. Rounding can be used to shorten a given number without depriving it of its original value. For example, we have to round 56.89. We can round it as replacing it with 57 which is the closest value to 56.

Rounding numbers isn't that difficult task. In fact, it's quite interesting and easy to do. For rounding, all you are required to do is to figure out which decimal place of the number you want to round off. There are different methods to round off numbers. You can round off numbers to Half Up/Down, Round-Up/Down Round Half to Even/Odd, and So on. Anyhow, here, we are concerned with "To What Place You Want to Round Off a Number". This can be illustrated.

To know how rounding calculator works you just have to understand the way the numbers are rounded off to a particular decimal place. Following is a list of the places to which a number can be rounded off: 1. Ones 2. Tens 3. Hundreds 4. Thousands 5. Ten Thousands 6. Millions 7. Tenths (1 decimal place) 8. Hundredths (2 decimal place) 9. Thousandths ( 3 decimal place) 10. Ten Thousandths (4 decimal place) 11. Hundred Thousandths (5 decimal place) 12. Millionths (6 decimal place)

Step-by-step explanation:

Answer:

8.009 , 8.09 , 8.7 , 8.7082

Step-by-step explanation:

Convert all numbers to decimals.

8.009 = 8.009

8.7 = 8.7

8.09 = 8.09

8.7082 = 8.7082

Arrange the numbers in ascending order.

8.009 , 8.09 , 8.7 , 8.7082

Answer:

5:04 pm

Step-by-step explanation:

The computation of the time does Jeremiah arrive at the grocery store is shown below:

She ate dinner at 6:17 pm

She took 25 minutes for cooking

She took 12 minutes to drive home from grocery store

And, the 36 minutes to the grocery store

So, the time at which she arrive is

= 6.17pm - 25 minutes - 12 minutes - 36 minutes

= 6.17pm - 73 minutes

= 5:04 pm

Answer: your answer are in the screen shots hope this helped  

Step-by-step explanation:

Answer:

The volume of the cylinder is 367.6 M^3

Step-by-step explanation:

Mathematically, we have the volume of a cylinder calculated as follows;

V = pi * r^2 * h

r is the base radius given as 3 m

h is the height given as 13 m

So, we have the volume as;

V = 22/7 * 3^2 * 13 = 367.6 M^3

Answer:

367.6 m³

Step-by-step explanation:

h=13       r=3                              identify variables

V= πr² h                                  use volume of a cylinder formula

V=π(3)²(13)                            substitute variables into formula

V= 367.56634047                   multiply

V=367.6 m³                            round to the nearest tenths place

Answer:

I believe the correct answer is Building B

Step-by-step explanation:

Building A is 23.45 per employee and Building B is 25.67 per employee

Answer:

number one is c y= -3/4x+8 and b is Formula for hourly rate from salary

To figure out your hourly wage based on your yearly salary, all you do is this: Take your yearly salary and divide that number by 52 (the number of weeks in a year) and then by 40 (the number of hours in a standard work week).

Step-by-step explanation:

Answer:

The answer is "between 0.10 and 0.05".

Step-by-step explanation:

For sample 1:

[tex]n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\[/tex]

For sample 2:

[tex]n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\[/tex]

Calculating the null and alternative hypotheses:

[tex]H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1 <\mu_2[/tex]  

Calculating the test statistic:

[tex]Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693[/tex]

Calculating the conservative degrees of freedom:

[tex]DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24[/tex]

by using Excel the p-value for left tailed test and for test statistic will be [tex]-1.693[/tex] with [tex]DF = 24[/tex].

[tex]\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \ i.e, \bold{0.05 < p-value < 0.10}[/tex]

Answer:

518

Step-by-step explanation:

Answer:

The first one will be equal 2

Because

[tex] \frac{ - 64}{8} = - 8[/tex]

[tex]x ^{3} = 8 \\ [/tex]

[tex] \sqrt[3]{ - 8} = - 2[/tex]

Oh sorry i read the question wrongly i thought you wanted the value of x

Step-by-step explanation:

main formula used

a³-b³=(a-b)(a²+ab+b²)

Answer:

H. 22 hours

Step-by-step explanation:

He earns $8 per hour.

176 ÷ 8

22

Answer:

x= -5

Step-by-step explanation:

Answer:

1095.2 cm² is correct (don't forget to say it's cm squared)

624.26 m² is correct                 (ditto)

I'm not 100% sure what the identity of the sets means, you're probably correct though

Step-by-step explanation:

area = 74 x 14.8 = 1095.2 cm²

radius = 28.2/2 = 14.1

area = 3.14(14.1²) = 624.26 m²

Answer: yes

Step-by-step explanation: it’s a right triangle

Answer:

No

Step-by-step explanation: all ik its know because the length is not  the same as the other side so no

Answer:

its in my comments thingy

Step-by-step explanation:

Answer:

C. cyilender

Step-by-step explanation:

Hope this helps <3 if it does plz give me a thx<33└(^o^)┘

Answer:

then what?

Step-by-step explanation:

do we have to find the angle?

all I know is every right triangle is equal to 90°

The perimeter of the triangle is 34.2 units

To determine the value of the perimeter, we need to know the following;

The formula that is used for calculating the perimeter of a triangle is expressed as;

P = a + b+ c

Such that a , b and c are the lengths of the sides of the triangle

Then, we have that;

Using the Pythagorean theorem

a² =  81 + 121

a² = 202

a = √202 = 14.2 units

Perimeter = 9  + 11 + 14.2

Add the values

Perimeter = 34.2 units

Learn more about triangles at: https://brainly.com/question/14285697

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im editing it i pressed send by accident

Answer:

8) x - intercept: (-7, 0)

y - intercept: (0, -7)

9) x- intercept: (4,0)

y- intercepts: ( 0, 8)

10) x- intercepts: (9,0)

y- intercepts: (0,3)

Step-by-step explanation:

Answer:

75 %

Step-by-step explanation:

To solve for the above question,

The percentage of pupils that submitted their project on time

= Number of pupils that submitted their project on time/Number of pupils × 100

Number of pupils that submitted their project on time = 30 pupils

Number of pupils = 40 pupils

= 30/40 × 100

= 75 %

The percent of the pupils that submitted their project on time is 75%

Answer:

1.) 2.5cm

2.) 1 3/4

3.) 1.6

4.) 4/5

5.) 18.84

Step-by-step explanation:

So the radius is half of the diameter, so the first one would be:

5 ÷ 2 = 2.5

We do the same thing for the next one:

3 1/2 ÷ 2 = 1 3/4

Now we have to go backwards because we have the radius and we're trying to find the diameter:

0.8 x 2 = 1.6

And the next one:

3/5 x 2 = 4/5

Now to find the circumference, we multiply the diameter by pi (3.14)

6 x 3.14 = 18.84

let me know if any of these are wrong

hope this helps:)

Answer:

substitution method

x = 7

y = 2

Step-by-step explanation:

2x - 2y = 10

x = 7

substitute for x:

2(7) - 2y = 10

14 - 2y = 10

subtract 14 from each side of the equation:

-2y = -4

divide both sides by -2:

y = 2

The expression which represents seven more than the product of a number and 3 equals 5 is 3w + 7 = 5.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given,

Product of w and 3 = 3w

7 more then 3w = 3w + 7

It is equal to 5 so,

3w + 7 = 5

3w = 5 - 7

w = -2/3

Hence "The expression which represents seven more than the product of a number and 3 equals 5 is 3w + 7 = 5".

To learn more about expression,

https://brainly.com/question/14083225

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Answer:

f(x) = [x – (4 + √20)][x – (4 – √20]

Step-by-step explanation:

In order to know the function that best describes the given f(x) that best reveals it's minimum or maximum, we need to know solve for x.

x² – 8x – 4 = 0

Using completing the square method

x² – 8x = 4

x² – 8x + 4² = 4 + 4²

(x – 4)² = 20

x = 4 ±√20

Therefore

f(x) = [x – (4 + √20)][x – (4 – √20]