Mathematics College

A surveyor is working to determine the gradient of a hill. The surveyor knows the hill starts at an elevation of 1755 feet and peaks at an elevation of 2105 feet. The distance of the hill from the bottom to the top is 910 feet. Select the responses that represent the angle of elevation of the hill (rounded to the nearest degree) and the trigonometric functions of the angle of elevation.

a. Cosθ= 13/5
b. Cosθ= 12/13
c. Cosθ= 13/12
d. Cosθ =13/5

Answers

Answer 1

Answer:

cos∅ = 12 / 13

Hence; Option b) Cosθ= 12/13 is the correct answer

Step-by-step explanation:

Given the data in the question;

the height( opposite ) = 2105 ft - 1755 ft = 350 ft

the hypotenuse = 910 ft

adjacent = x

as its illustrated in the image uploaded along this answer;

using the Pythagoras theorem

910² = 350² + x²

x² = 828100 - 122500

x² = 705600

x = √705600

x = 840 ft

Now

cos∅ = adjacent / hypotenuse

cos∅ = 840 / 910

we simplify; divide through by 70

cos∅ = 12 / 13

Therefore; Option b) Cosθ= 12/13 is the correct answer

A Surveyor Is Working To Determine The Gradient Of A Hill. The Surveyor Knows The Hill Starts At An Elevation

Related Questions

Wendy wants to put a wallpaper border around her bedroom. The room has two walls that each measure 10 feet 5
inches and two walls that each measure 6 feet 1 inch.
How many yards of wallpaper border must Wendy buy?
5.5 yards
11 yards
16 yards
33 yards

Answers

Answer:

11 yards

Step-by-step explanation:

The room has two sides both measuring 10 feet 5 inches. This gives a total of 20 feet 10 inches. It also has the other two sides both measuring 6 feet 1 inch and that too gives a total of 12 feet 2 inches. Adding them all together results in 32 feet 12 inches. Better still, the perimeter of the room is derived as;

Perimeter = 2 (L + W)

Perimeter = 2 (10'5" + 6'1")

Perimeter = 2(16'6")

Perimeter = 32'12"

Having in mind our conversion rate of 12 inches equals 1 foot, the results can be properly expressed as 32 feet plus 1 foot which gives us 33 feet.

If the perimeter of Wendy's room is now given as 33 feet, the conversion rate between feet and yards can now be applied. Having been given that

3 feet = 1 yard

Then 1 yard = 3 feet/3, that is

y = 3/3

Hence,

y = 33/3

y = 11

The results show that Wendy would needs to buy a total of 11 yards of wallpaper border.

PLEASE GIVE RIGHT ANSWERS WILL GIVE BRAINLIEST.

Answers

Answer:

Here u go:

1. A = -1

H = 0

K = 3

Vertex = (0, 3)

Axis of symmetry: x = 0

2. A = 1

H = -2

K = -5

Vertex = (-2, -5)

Axis of symmetry: x = -2

3. A = 3

H = 1

K = 2

Vertex = (1, 2)

Axis of symmetry: x = 1

Grandma's Recipe for Sugar Cookies
1 cups kutter
2 cups sugar
4 eggs
12 teaspoon baking powder
1% cups flour
4 teaspoon salt

Your sister wants to make more cookies and decides to use 4 cups of sugar. She says that she
will need to use 3 1/4 cups of flour. Do you agree with her? Explain your reasoning.

Answers

Answer:

I agree

Step-by-step explanation:

The sugar sweetens the cookies and also because it's a sugar cookie the sugar content should be a little bit more. And when the flour is too much it makes the cookie bumpy because of its dry content. The sugar should be more to give the cookie its expected taste

What is the value of 12x+y(3-23)/5
when x = -5 and y = 7?

Answers

Answer:=12x−4y

tell me if im wrong

Answer: -21

Step-by-step explanation:

1. Replace the x and y with the values and solve starting in the parentheses:

12-5 + ((7*(3-23))/5)

12-5 + ((7*(-20)/5)

12-5 + (-140/5)

12-5 + (-28)

7 + (-28)

-21

Given the equation: 3x^2-12=0

a)Factor Completely

b)Solve for the solutions of the equation

Answers

Step-by-step explanation:

3x²-12=0

3(x²-4)=0

3(x²-2²)=0

3(x+2)(x-2)=0

hope it helps.

Theresa has a pile of sand grains and salt grains mixed together. She wants to separate the sand from the salt. What method can she use to separate these two substances?

Answers

Answer:

the answer is A

Step-by-step explanation:

Answer:

A. heat the pile to 100c so that half the pile boils

Step-by-step explanation: I just took the test :)

What is the value of the expression 5 3/5+7/10 -2 2/3

Answers

Answer:

i didn't understand your question but I done two types

What is the prime factorization of 420?

Answers

we have the factors 2 x 2 x 3 x 5 x 7 = 420. It can also be written in exponential form as 22 x 31 x 51 x 71.

Step-by-step explanation:

Answer:The prime factors are 2 x 2 x 3 x 5 x 7 .

Step-by-step explanation:

A child's ticket for the aquarium is 0.45 times the cost of an adult's ticket. An adult ticket costs $13.00. Mr. and Mrs. Lewis took their two children to the aquarium. How much did the Lewis family spend to enter the museum? help?

Answers

i believe they would have to spend 37$$

A box has length 7 feet width 4 feet and height 5 inches find the volume of the box in cubic feet and in cubic inches

Answers

Answer:

20160in3

Step-by-step explanation:

1.) Convert all measurements to inches

7ft = 84in

4ft = 48in

5in = 5in

2.) Multiply all of the values to find the volume

84in x 48in x 5in = 20160in3

si el area del cuadrado es de 80 m cuanto vale la m

Answers

Answer:

El lado del cuadrado es de 20 my el área del cuadrado es de 400 metros cuadrados. Paso a paso ... El perímetro de un cuadrado es 80 m. ¿Cuál es la longitud de cada lado del cuadrado ... Para celosía & lt; L, * & gt; si a, b, ce L thena + (a e b) = a se llama.

Step-by-step explanation:

ASAP! Select TWO expressions that contain a coefficient of 4

Answers

Answer:

c and d

Step-by-step explanation:

C and D are the answer to your math question

how to solve the volume formula for cylinders using pi

Answers

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h . i think the answer is this

y = 2x? + 9x - 5x6 + 2x8
What is the degree

Answers

Answer:

5x^(5)-9x^(3)+2x^(11)

Step-by-step explanation:

go o gl e

6x+3(-2+4) when x=-2

Answers

Answer:

-8

Step-by-step explanation:

Which one is greater explain why. 8/10 and 0.91

Answers

Answer:

0.91 because 8/10 as a decimal is 0.8

Step-by-step explanation:

so 0.91 is bigger than 0.8

Answer:

0.91 is greater than 8/10 which is 0.8 as a decimal

Step-by-step explanation:

0.8 is also equal to 0.80 and 0.80 is less than 0.91

Solve 6x^2+125=x^2 using square roots.

Answers

Answer:

NOREAL SOLUTION

Step-by-step explanation:

6x2+125=x2

Step 1: Subtract x^2 from both sides.

6x2+125−x2=x2−x2

5x2+125=0

Step 2: Subtract 125 from both sides.

5x2+125−125=0−125

5x2=−125

Step 3: Divide both sides by 5.

Step 4: Take square root.

NOREAL SOLUTION

one more than double a number and five more than double a number is 74, what is the number?

Answers

Answer:

x = 17

Step-by-step explanation:

Let the number be x.

ATQ,

one more than double a number and five more than double a number is 74,

1+2x+5+2x = 74

We need to find the value of x.

Subtract 6 from both sides,

6+4x-6 = 74-6

4x = 68

x = 17

Hence, the value of x is 17.

In the morning, Jasmine biked to her grandma's house in 45 minutes. When she was biking back home in the evening it was foggy and she went 4 mph slower. The trip back took her 1 hour and 10 minutes. How far from her house does her grandmother live?

Answers

Answer: 8.4 miles

Step-by-step explanation: Hope this helps

Javier teaches yoga classes at his community center. In a 60-minute class last night, he taught 30 poses. Today, he has a 30-minute class.
If he teaches at the same rate, how many poses will Javier teach in today's class?

Answers

Answer:

I'm guessing 15 poses because 30/60 half and 15/30 half so basically in the 60 minute lesson Javier spend 1 minute teaching them how do to each pose, so in the 30 minute lesson he'll spend 1 minute on the other poses.

Step-by-step explanation:

this was a little confusing and sorry if i dont make since

Answer:a minute !!!!!

Step-by-step explanation:

PLEASE HELP ASAP ITS FOR A FINAL

It is recommended that one fire extinguisher be available for every 6,000 square feet in a building. Our school
measures 150,000 square feet. Our school has 22 fire extinguishers. The custodian determines that we need more fire extinguishers in order for the entire building to be fully protected.

Answer these two questions and be certain to show and explain all your work.

How many fire extinguishers need to be purchased? What percent of the school is protected now?

Answers

Answer:

1 The minimum number of fire extinguishers for Class A hazards for each floor of a building shall be determined by dividing the total floor area by the maximum area to be protected per extinguisher as determined by Table.

Step-by-step explanation:

What's equivalent to 4(y – 3)

Answers

Answer:

that's

Step-by-step explanation:

+4y -12 thank you

Answer:

see below

Step-by-step explanation:

4y -12 hope it helps u

Find the third side in simplest radical form:
8.
V34
Δ

Answers

Answer:

c = 7√2

Step-by-step explanation:

Apply pythagorean theorem to find the third side.

Thus, c² = a² + b²

where, c is the third side and a and b are the other sides.

Plug in the values

c² = 8² + (√34)²

c² = 64 + 34

c² = 98

c = √98

c = √(49 * 2)

c = 7√2

One person earns $53,000 per year. Another person earns $3700 per month how much more does the first person earn in a year than the second

Answers

they earn 8,600 more than the second

3/4 + 3/8 how do I do this I messed the last one up

Answers

Answer:

1 1/8

Step-by-step explanation:

We need to add the fractions; 3/4 and 3/8

Step 1, get the LCM of 4 and 8. The LCM of 4 and 8 is 8

Step 2, 3/4 + 3/8 = 6 + 3/8 = 9/8 = 1 1/8

Hence, 3/4 + 3/8 = 1 1/8

What is the square root of five

Answers

Answer:

2.24

Step-by-step explanation:

that's the square root of 5

146 Mathe Functional skills Level 1 Diagnostic
The ages of the people at a spinning class are shown below.
What is the range in their ages?
29
38
47
53
45
56
31
27
46
38
35
25
37
28
33
43
26
Exit
< Back
Next >
DIE

Answers

Answer:

Step-by-step explanation:

56-25=31

Answer:

Step-by-step explanation:

56-25=31 (the range is the difference between the smallest and the biggest number)

A 2-column table with 6 rows. Column 1 is labeled x with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled y with entries 14, 28, 42, A, B, C. Find the relationship between the quantities in the table. Then use the relationship to calculate the missing values in the table. The relationship between the quantities in the table is x equals y. A = B = C =

Answers

Answer:

The relationship between the quantities in the table is x

× 14

equals y.

A =

B =

C =

Step-by-step explanation:

Answer:

Find the relationship between the quantities in the table. Then use the relationship to calculate the missing values in the table.

The relationship between the quantities in the table is x

✔ 14

equals y.

A =

✔ 56

B =

✔ 70

C =

✔ 84

Step-by-step explanation:

Which graph shows a method for finding the image of point D if the parallelogram is reflected across the dash line

Answers

Answer:

hey sry im late but the answer is B for whoever needs it..

Step-by-step explanation:

Answer: B

Reason: I did math and B was right.

80% of the Australian population lives in the __________ regions of the country. A. northeastern B. northwestern C. southeastern D. southwestern Please select the best answer from the choices provided A B C D

Answers

Answer:

C. Southwestern

Step-by-step explanation:

got it right on lesson

You can mark brainliest if you want but you don't have too ฅ^•ﻌ•^ฅ ❤❤

Answer:

Step-by-step explanation:

Other Questions

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