a water main is to be constructed with a 10% grade in the north direction and a 20% grade in the east direction. determine the angle theta required in the water main for the turn from north to east

Answers

Answer 1

Answer:

26.6degrees

Step-by-step explanation:

Given

percent grade through north = 10% (opposite)

percent grade through east = 20% (adjacent)

Get the direction

Using the SOH CAH TOA identity

tan theta = opp/adj

tan theta = 10/20

tan theta = 0.5

theta = arctan (0.5)

theta = 26.6degrees

Hence the required angle is 26.6degrees


Related Questions

nd interest for a loan
To pay for an $18,900 truck, Joe made a down payment of $3600 and took out a loan for the rest. On the loan, he paid monthly payments of $338.67 for 4
years.

Answers

Answer: He will pay this amount, with interest, over a 4-year period payment that he must make After paying 20% as a down payment, they finance the Determine the monthly payments needed to amortize the loan and months, that payments can be made under each of the following options before the money runs out.

Step-by-step explanation:

Dave Bowers collects U.S. gold coins. He has a collection of 49 coins. Some are​ $10 coins, and the rest are​ $20 coins. If the face value of the coins is ​$690​, how many of each denomination does he​ have?
How many $10 coins does he have?
How many $20 coins does he have?

Answers

He has twenty nine $10 coins and twenty $20 coins

Let x be number of $10 coins and y be number of $20 coins
x + y = 49. Number of coins
10x + 20y = 690. Value of coins

Multiply the first equation by 10
10x + 10y = 490

Subtract from the second equation
10y = 200
y = 20

Substitute into equation 1
x + 20 = 49
x = 29

please help me please i really need help please

Answers

Step-by-step explanation:

right answer

...... y= 1/2x²

Which statement about y= x2 – 3x – 40 is true? O A. The zeros are 5 and -8, because y = (x - 5)(x+ 8). B. The zeros are 5 and -8, because y= (x + 5)(x-8). C. The zeros are -5 and 8, because y = (x - 5)(x+ 8). O D. The zeros are - 5 and 8, because y = (x + 5)(x-8).​

Answers

Answer:

C

Step-by-step explanation:

A p e x

Answer:

the answer is " The Zeros are -5 and 8, becouse y=(x+5)(x-8)

Step-by-step explanation:

i just took the test

SOLVE EQUATION BY TAKING SQAURE ROOTS.
64m^2 -5 = 76

Answers

Answer:

m=9/8

Step-by-step explanation:

64m^2 -5=76

64m^2 =76+5

64m^2=81

m^2=81/64

m=[tex]\sqrt{81/64}[/tex]

m=9/8

Step-by-step explanation:

64m²-5=76

64m²-5+5=76+5

64m²=81

m²=64/81

m=

[tex] \sqrt{64/81} [/tex]

m=8/9

Surface Area of a Triangular Pyramid, please help!

Answers

Answer:

surface area of the triangular pyramid

=(1/2×9×7.8)+(3×1/2×9×12.3)

=35.1+166.05

=201.15 inch²

help
Sadie needs 3.1 yards to make one costume for each choir member in the play. How much fabric will she need if she has to make 5 costumes?
A.
15.5 yards
B.
10.5 yards
C.
18.6 yards
D.
16.5 yards

Answers

Answer:

A. 15.5 yards

Step-by-step explanation:

3.1 ×5=15.5

There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
7
8
.
There are 56 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.

Answers

Answer:

7

Step-by-step explanation:

The probability of choosing a blue marble is 7/8, or 49/56, which means that out of 56 marbles, 49 are blue. 56-49=7, so there are 7 red marbles. Hope this helps! :)

Pls help school almost over I need to pass

Answers

Answer:

B.

Step-by-step explanation:

6.4 times 10 to the 3rd power (6.4 times 10x10x10) is equal to 6400, therefor, B is the correct answer.

The party planning committee has to determine the number of tables needed for an upcoming event. If a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people.

The variable x represents the number of

Answers

Answer:

the answer is 25 round tables and you will need 18.75 square tables

Step-by-step explanation:

IT is right trust me

Answer: The variable x represents the number of  

✔ square tables

.

The variable y represents the number of  

✔ round tables

.

If y = 9, find the value of x. The committee needs  

✔ 12

square tables.  explanation:

anyone can help with this ?

Answers

Answer:

The first one : x^2 - 8x + 15 sq ft

Step-by-step explanation:

To find the ares you need to multipy L and W : (x - 3) x ( x - 5)

(x - 3) x ( x - 5)

(x times x) - ( 3x + 5x) + ( 5 x 3)

=x^2 - 8x + 15

If this helps you, please give brainliest!

Answer:

(x-3)(x-5)=x^2-5x-3x+15=x^2-8x+15

Step-by-step explanation:

Because the patio is a rectangle, so it's area is I.w=(x-3)(x-5)

3. What is the value of LC in the diagram?
A
4x
(2x
B
3x
С
O A. 90°
O B. 60°
O C. 80°
OD. 40°

Answers

Answer: B

Step-by-step explanation:

4x+3x+2x=180

9x = 180

x = 20

20x3 = 60

A newborn weighs 7 lb and 13 oz. How many grams (g) does he weigh?

Answers

Answer:

69

Step-by-step explanation:

For the given function, find the vertical and horizontal asymptote(s) (if there are any).

f(x) = (x-5)/(x^2-1)

Answers

Answer:

See below for answers and explanations (as well as a graph attached)

Step-by-step explanation:

The function [tex]f(x)=\frac{x-5}{x^2-1}[/tex] can be written as [tex]\frac{x-5}{(x+1)(x-1)}[/tex], showing that there are 2 vertical asymptotes, which are at [tex]x=-1[/tex] and [tex]x=1[/tex] as they both make the denominator equal to 0.

Additionally, there would be a horizontal asymptote at [tex]y=0[/tex] since the degree of the numerator is less than the degree of the denominator.

See the attached graph.

The person above me has the answer LOL

Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. What is the unit rate of cloth he used in terms of yards per shirt?

Answers

1 1/3 yards of fabric per shirt

Explanation:
Unit rate is a rate per 1

If you want to find the unit rate of yards per shirt, you do 4 2/3 divided by 3 1/2

Meanwhile if you want to find the unit rate of SHIRTS per yards of fabric, you do 3 1/2 divided by 4 2/3

IN THIS CASE, we will use the unit rate YARDS PER SHIRT:

4 2/3 ÷ 3 1/2
= 14/3 x 2/7
= 28/21
=1 1/3

Hope this helps!

please help! (listing BRAINLIST and giving points) ​

Answers

Answer:

Step-by-step explanation:

sin x = opposite / hypotenuse

sin x = b / c

cos x = adjacent / hypotenuse

cos x = a / c

tan x = opposite / adjacent

tan x = b / a

Consider the expression below. Assume the variable m represents an integer. 6m(3m + 21) Enter an expression in the box that uses the variable m and makes the equation true. (Simplify your answer completely. If no expression exists, enter DNE.) 6m(3m + 21) = 9 Given that m represents an integer, is 6m(3m + 21) divisible by 9?

Answers

Answer:

[tex](a)\ 6m(3m + 21) = 9(2m^2 + 14m)[/tex]

(b) Yes, it is divisible by 9

Step-by-step explanation:

Given

[tex]6m(3m + 21)[/tex]

Solving (a): Complete the blanks

[tex]6m(3m + 21) = 9 [\ ][/tex]

Expand the bracket

[tex]6m(3[m + 7]) = 9 [\ ][/tex]

[tex]6m*3(m + 7) = 9 [\ ][/tex]

Express 6m as 2m * 3

[tex]2m*3*3(m + 7) = 9 [\ ][/tex]

[tex]2m*9(m + 7) = 9 [\ ][/tex]

Rewrite as:

[tex]9 * 2m(m + 7) = 9 [\ ][/tex]

Multiply the bracket by 2m

[tex]9 * (2m^2 + 14m) = 9 [\ ][/tex]

Divide both sides by 9

[tex]2m^2 + 14m = [\ ][/tex]

Hence, the bracket will be filled with: [tex]2m^2 + 14m[/tex]

So:

[tex]6m(3m + 21) = 9(2m^2 + 14m)[/tex]

Solving (b): Is [tex]6m(3m + 21)[/tex] divisible by 9?

In (a), we have:

[tex]6m(3m + 21) = 9(2m^2 + 14m)[/tex]

The leading factor "9" implies that the expression is divisible by 9

pls help on number 6!!

Answers

Answer:

729 cubic feet

Step-by-step explanation:

Rebecca walks nine dogs each week she gets paid $10 a week +2 for each dog she walks which expression can be used to find how much is Rebecca gets paid in one week

Answers

Answer:

F(x)= 2x + 10

Step-by-step explanation:

F(×) represent the total amount she will get that week.

The 2 represents her dog bonus, x how many dogs she walked.

10 is the bare minimum she makes each week and it never changes.

A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and I is red. If it is spun randomly, what is the probability of it landing either on a yellow or a red section?

Answers

Given:

A spinner is divided into 8 equal sections  where 3 are black, 4 are yellow, and 1 is red.

To find:

The probability of it landing either on a yellow or a red section.

Solution:

We have,

Total number of sections = 8

Black sections = 3

Yellow sections = 4

Red sections = 1

Now,

Either yellow or red sections = 4 + 1

                                                = 5

Now, the probability of it landing either on a yellow or a red section is:

[tex]\text{Required probability}=\dfrac{\text{Either yellow or red sections}}{\text{Total number of sections}}[/tex]

[tex]\text{Required probability}=\dfrac{5}{8}[/tex]

Therefore, the required probability is [tex]\dfrac{5}{8}[/tex].

What is the result of subtracting the second equation from the first

Answers

I didn’t undertand the question... mayb ur attachment isnt added! Plz check!

Solve for x. A. x = 12 B. x = 4 C. x = 3 D. x = 1

Answers

Answer:

4=x

Step-by-step explanation:

1/5( 2x+92) = 5x

Multiply each side by 5

5*1/5( 2x+92) = 5x*5

( 2x+92) = 25x

Subtract 2x from each side

2x+92-2x = 25x-2x

92 = 23x

Divide by 23

92/23 = 23x/23

4=x

Answer:

x = 4

Step-by-step explanation:

1/5 ( 2x + 92 ) = 5x

[tex] \small \sf \frac{1}{5} × ( 2x + 92 ) = 5x \\ [/tex]

distribute 1/5 through the parantheses

[tex] \small \sf \frac{2}{5}x + \frac{92}{5} = 5x \\ [/tex]

multiply both side of equation by 5

[tex] \small \sf \frac{2}{5}x \times 5 + \frac{92}{5} \times 5 = 5x \times 5\\ [/tex]

2x + 92 = 25x

Move all variables to the left hand side and change their sign

2x + 92 - 25x = 0

combine like terms

2x - 25x + 92 = 0

calculate

-23x + 92 = 0

Move all the constant to the right side and change their sign

-23 x = - 92

divide both side by -23x

-23x / -23 = -92/-23x = 4

please answer thank you​

Answers

Answer:

1536 m²

Step-by-step explanation:

To find the area of the lateral faces, calculate the height of a lateral face first.

The height of a lateral face = S

The blue triangle is right-angled, so we can use Pythagoras Theorem to find S.

[tex] \sqrt{ {h}^{2} + {0.5b}^{2} } [/tex]

[tex] = \sqrt{ {16}^{2} + {12}^{2} } [/tex]

[tex] = \sqrt{400} [/tex]

= 20 m

Total surface area of a pyramid

= total surface area of lateral faces + base area

Area of 1 lateral face

= (base × height) ÷ 2

= (24×20)÷2

= 240 m²

Total surface area of the pyramid

= 240×4 + 24×24

= 1536 m²

Step 5: Mathematics Problem 10 of 10 Question: The variables x and y are directly proportional, and y = 4 when = 3. What is the value of y when 15? А. B. 12 C16 D. 20 E. I don't know d O ype here to search​

Answers

Step-by-step explanation:

y=kx

4=k*3,4=3k,4/3=k.to find y when X is 15 ,y=kx,y=4/3*15=60/3=20

real fourth roots of -625

Answers

Answer:

-5

Step-by-step explanation:

[tex]\sqrt[4]{-625}[/tex]

=[tex]\sqrt[4]{-5*-5*-5*-5}[/tex]

=-5

Given m||n find the value of x.

Answers

Answer:

x =17

Step-by-step explanation:

The angles are supplementary so they add to 180

6x-20 + 6x - 4 = 180

12x -24 = 180

Add 24 to each side

12x-24+24 = 180+24

12x = 204

Divide by 12

12x/12 =204/12

x = 17


Which ordered pair (p, r) is the solution to the given system of linear equations?
(5p - 3r = 1
8p + 6r= 4

Answers

Answer:

[tex](\frac{1}{3};\frac{2}{9})[/tex]

Step-by-step explanation:

[tex]\left \{ {{10p-6r=2} \atop {8p+6r=4}} \right. \ \left \{ {{18p=6} \atop {8p+6r=4}} \right. \ \left \{ {{p=\frac{1}{3} } \atop {r=\frac{2}{9} }} \right.[/tex]

Answer:

Its D

Step-by-step explanation:

Edge 2021

Can someone help me again with these math work?

Answers

Answer:

it look like its 4 and the 4 over 4/5 I think

Find the quotient.
2^3/2^-1

Answers

Answer:

-4

Step-by-step explanation:

2^3 = 2 * 2 * 2 = 8

2^-1 = -2 = -2

2^3/2^-1 = 8/-2

=> 4/-1

=> -4

Hope it helps :)

Answer:

2^4 (or) 16

Step-by-step explanation:

2^3=2×2×2=8

2^-1 = 1/2

2^3/2^-1 = 8/(1/2) = 8×2 = 16

alternative method:

2^3/2^-1 = 2^(3-(-1))

= 2^(3+1)

= 2^4

= 16

evaluate the algebraic expression for the given values of x = 3 and Y =4 7 x - 2y-1​

Answers

Answer:

the answer is 12

Step-by-step explanation:

7x-2y-1. x=3. y=4

7×3-2×4-1

=21-8-1

=12

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