Mathematics College

A triangular plot of land has sides of lengths 420 feet, 330 feet, and 180 feet. Approximate the smallest angle between the sides. The choices are rounded to the nearest degree.
A. 30 degree
B. 27 degree
C. 22 degree
D. 24 degree

Answers

Answer 1

Answer:

D. 24 degree

Step-by-step explanation:

Sides of the triangle are

a = 330 ft

b = 180 ft

c = 420 ft

From cosine rule we have

[tex]\angle A=\cos^{-1}(\dfrac{b^2+c^2-a^2}{2bc})\\ =\cos^{-1}(\dfrac{180^2+420^2-330^2}{2\times180\times 420})\\ =48.65^{\circ}[/tex]

[tex]\angle B=\cos^{-1}(\dfrac{a^2+c^2-b^2}{2ac})\\ =\cos^{-1}(\dfrac{330^2+420^2-180^2}{2\times 330\times 420})\\ =24.17^{\circ}[/tex]

[tex]\angle C=\cos^{-1}(\dfrac{a^2+b^2-c^2}{2ab})\\ =\cos^{-1}(\dfrac{330^2+180^2-420^2}{2\times 330\times 180})\\ =107.19^{\circ}[/tex]

The smallest angle in the triangle is [tex]\angle B=24.17^{\circ}[/tex].

A Triangular Plot Of Land Has Sides Of Lengths 420 Feet, 330 Feet, And 180 Feet. Approximate The Smallest

Related Questions

Pleas help I give brainliest, its my final

Answers

The third one is correct

If the measures os an exterior angle of a regular polygon is 120 degrees, how many sides does the polygon have?

Group of answer choices

3

6

5

4
​

Answers

5 bc i took the test and it said it was right so

Which function has a vertex on the y-axis?
O fx) = (x - 2)2
O f(x) = x(x + 2)
O f(x) = (x-2)(x+2)
O f(x) = (x + 1)(x - 2)

Answers

Imma go with B has a vertex on the y-axis

Answer: c

Step-by-step explanation:

Just took the test

Kim is having a pizza party. Two large pizzas serve 9 people. How many large pizzas should she order to serve 36 guests at the party?

Answers

It is 8 because two large can serve 9 and there are 4 9’s that go into 36 so you just have to times 2 and 4 to get 8

2=9
+2
4=18
+2
6=27
+2
8=36

8 large pizzas for 36
(Me personally would eat 8 all by myself)

Pls Convert the following base ten numbers to base six with formula
1. 12
2. 31
3. 41
This is urgent pls as fast as possible​

Answers

The base ten numbers to base six for the following is

1. 12 (base 10) =20(base 6)

2.31 (base 10) =51(base 6)

3. 41 (base 10) =105(base 6)

The procedure to find the base ten number to base six

We have to divide the number 12 repeatedly by 6 until the quotient becomes 0.

When 12 is divided by 6 the quotient is 2 and the remainder is 0.

When 2 is divided by 6 the quotient is 0 and the remainder is 2.

Now, Write the remainder from top to bottom.

We get [tex]12_{10} =20_{6}[/tex]

Similarly we do, 31 and 41

When 31 is divided by 6 the quotient is 5 and the remainder is 1.

When 5 is divided by 6 the quotient is 0 and the remainder is 5.

Now, Write the remainder from top to bottom.

We get [tex]31_{10} =51_{6}[/tex]

When 41 is divided by 6 the quotient is 6 and the remainder is 5.

When 6 is divided by 6 the quotient is 1 and the remainder is 0.

When 1 is divided by 6 the quotient is 0 and the remainder is 1.

Now, Write the remainder from top to bottom.

We get [tex]41_{10} =105_{6}[/tex]

Therefore, The base ten numbers to base six for the following is

1. 12 (base 10) =20(base 6)

2.31 (base 10) =51(base 6)

3. 41 (base 10) =105(base 6)

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Use the slope formula to determine the slope of the line containing the two points.

(8/5, - 9/2) and (-3/4, 1/3)

A) -250/51

B) -366/65

C) 290/51

D) -290/141

Answers

The answer is B hope this helps

pls help me on this​

Answers

the answer is 10% because 10% of 40 is 4

Midpoints...........

Answers

Answer:

OP = 2

Step-by-step explanation:

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Answer:

[tex]op = 2[/tex]

Step-by-step explanation:

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Simplify the expression: 3(5x - 2) + 3x

Answers

Answer:

Original: 3(5x - 2) + 3x

15x - 6 +3x

Answer: 18x - 6

Answer:

18x-6

Step-by-step explanation:

3(5x-2)+3x

Distribute 3 into the parathesis: 15x-6+3x

Combine like terms: 18x-6

Your final answer is 18x-6

Which statement explains the difference between a point and a vertex?

A vertex can be used to create other geometric shapes, and a point is always part of a shape.
A point does not have a formal definition, and a vertex is described through undefined terms.
A vertex contains an infinite number of points, and a point does not have width or depth.
A point continues infinitely in one direction, and a vertex does not have width or depth.

Answers

Answer:

Its B

Step-by-step explanation:

Answer: A point does not have a formal definition, and a vertex is described through undefined terms.

hellllpppp will give brainliest !!

Answers

I think the answer is c

What are the two other ways you can write the ratio 3 to 4?
Blank 1:
Question 2
A group of preschoolers has 15 boys and 12 girls. What is the ratio of girls to boys? Please try to simplify
Blank 1:
Question 3

Simplify the ratio 12 to 15

Blank 1:
Question 4
A group of preschoolers has 8 boys and 24 girls. What is the ratio of girls to all children?
Blank 1:
Question 5
Simplify the ratio 24/32

Blank 1:

Answers

Step-by-step explanation:

1. 3:4, 6:8, 9,12

So 12:15 is the same thing as 12/15 you need to simplify so 12 devided by 2 is 4 and 15 divided by 3  is 5 so question to is 4:5

the ratio of 3to4 is 7.42069 and 12 to 1362 the others r to hard for my big brain

Step-by-step explanation:

Which equation matches the graph shown?

Answers

Answer:

very easy question.

Step-by-step explanation:

option 3 is correct

The value of y varies directly with x. When y=2 2/5,x=3/5 what is the value of y when x is 4/5

A 1 1/5

B 3 3/5

C 3 1/5

D 5 1/5

Answers

Answer:

the correct ans should be 88/15

Step-by-step explanation:

since, y is directly proportional to x then,

y=kx where k=proportionality constant

when y=22/5 and x=3/5

or,22/5=k*3/5

or,22/5*5/3=k

•°•k=22/3

now, when x=4/5

we know,

y=kx

or,y=22/3*4/5

•°•y=88/15

pls help I will fail 10th grade

Answers

Answer:

[tex]x ^{2} + 6x + 9 \\ \: = x ^{2} + (3 + 3)x \: + 9 \\ = x {}^{2} + 3x + 3x \: + 9 \\ \: \: \: \: = x(x + 3) + 3(x + 3) \\ = (x + 3) \: \: \: \: \: (x + 3)[/tex]

So, the Answer is (x + 3) (x + 3)

Question 8, 1.2.35-PS
Part 1 of 5
iew an example
HW Score: 44.44%, 4
O Points: 0 of 1
- Scatterplots and Graphs
K
If a ball is thrown into the air at 96 feet per second from the top of a 109-foot-tall building, its height can be modeled by the function S=109+961-162, where S is in feet and t is in seconds.
Complete parts a through e below.
a. Graph this function for t representing 0 to 8 seconds and S representing 0 to 300 feet. Choose the correct graph below.

Answers

Answer:

23

Step-by-step explanation:

23 is going to be your correct answer for this question. Have a great day my dude

A circle has a radius of 9 units and a center located at (-5, 2) on a coordinate plane.
Which of the following equations represent this circle?
A (x - 5)2 + (y + 2)2 = 81
B
Kx + 5)2 + (-2)2 = 81
(x - 5)2 + + 2)2 = 3
(x + 5)2 + (-2) = 3

Answers

Answer: (x+5)^2+(y-2)^2=81

Step-by-step explanation:

The equation of the circle will be equal to (  x  +  5  )² + (  y  -  2  )²  =  81

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given that:-

A circle has a radius of 9 units and a centre located at (-5, 2) on a coordinate plane.

The equation of the circle will be:-

( x  -  h  )²  +  (  y  -  k  )²  =  r²

(  x  +  5  )² + (  y  -  2  )²  =  81

Therefore the equation of the circle will be equal to (  x  +  5  )² + (  y  -  2  )²  =  81

To know more about equations follow

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Multiply. Write your answer as a fraction in simplest form.
5
4x
6

Answers

What is the specific problem? There are vertically listed numbers, but no necessary equation. Please let me know what the problem is and i’ll be happy to help :)

The total cost to go horseback riding is a dollars per hour plus a $2 fee for renting a helmet. Which
expressions represent the cost, in dollars, for 4 people to go horseback riding for 3 hours each? Select
all that apply.
4(3x + 2)
3(4x + 2)
063 +3 + 6x + 5
4(3.0) + 4(2)
12x + 8
3x(4) + 2

Answers

Answer:4(3x +2)

Step-by-step explanation:

The expressions represent the cost, in dollars, for 4 people to go horseback riding for 3 hours each is  4(3x + 2).

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The total cost to go horseback riding is a dollar per hour plus a $2 fee for renting a helmet.

Let, The number of hours is represented by 'x'.

Therefore, The cost of riding with a helmet is,

= x + 2.

The cost of riding for 3 hours is 3x + 2 and the cost for 4 people is doing the same is, 4(3x + 2).

learn more about numerical expressions here :

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PLS HELP FOR A GRADE DUE TODAY BRUH PLS

Answers

Answer:

A Yes, because every x-vaule has a single y-vaule

Step-by-step explanation:

None of the points share a point on the x axis meaning none of them are directly vertical of each other they are all seperate from each other.

Answer:

A

Step-by-step explanation:

What is 32% lower than 501,950?

Answers

Answer:

341, 326

Step-by-step explanation:

If you see marginal cost increasing in a graph, this implies that
a. marginal product must be increasing, too.
b. the additional cost incurred in producing one more unit of output is decreasing.
c. the company is experiencing some inefficiency in production.
d. the productivity of the company is increasing.

Answers

If you see marginal cost increasing in a graph, this implies that; b. the additional cost incurred in producing one more unit of output is decreasing.

What is the interpretation of the marginal cost?

The marginal cost is the change in total production cost that comes from making or producing one additional unit.

When marginal product is rising, the marginal cost of producing another unit of output is declining and when marginal product is falling marginal cost is rising. Thus, Option A and D are not correct.

Option C is wrong because Marginal cost helps to increase efficiency in  production.

Thus, option B is the correct answer.

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Question
After attending a car show, Katrina decides to start saving for a car. She places $50 of her most recent paycheck into a jar and
commits to adding $150 every month to save for a down payment. Her total amount saved for the car, y, after x months can
represented by this equation:
y 150x + 50

Answers

Answer:

I think the equation would be y=150x+50

And also, please identify what the price of the car is, or at least the number of months. We need to identify at least 1 of the variables.

Answer:

Step-by-step explanation:

PLEASE ANSWER ASAP!!Find a rational function that might have the given graph. (More than one answer might be possible.)

Answers

Answer:

The rational function that might have the given graph is [tex]y = - \frac{x}{(x+1)\cdot (x-1) }[/tex].

Step-by-step explanation:

This graph shows a rational function whose numerator is a first order polynomial and denominator is a second order, due to the presence of vertical asymptotes at [tex]x = -1[/tex] and [tex]x = 1[/tex]. The lead coefficient of the numerator must be 1, since horizontal asymptote must be [tex]y = 0[/tex] and intercept must be [tex]0[/tex], since [tex]y(0) = 0[/tex].

Then, we conclude that a rational function that might have the graph is:

[tex]y = - \frac{x}{(x+1)\cdot (x-1) }[/tex] (1)

We present the proof that given function is appropriate.

A statistical quality control process for cereal production measures the weight of a cereal box. The population standard deviation is known to be 0.09 ounces. If we wish to estimate the population average cereal box weight to within 0.011 ounces and be 94% confident, how large a sample should be used

Answers

Answer:

the sample should be 237

Step-by-step explanation:

The computation of the large the sample be used is shown below:

Given that

Standard deviation = 0.09 ounces

margin of error = 0.011

For 94% confidence interval, the z value be 1.88

As we know that

Margin of error = ((z score × standard deviation) ÷ (Sample size))^2

0.011 = (1.88 × 0.09) ÷ (Sample size))^2

0.011 = 0.1692 ÷ (Sample size))^2

So, the sample size be

= 15.38^2

= 236.60

Hence, the sample should be 237

What is the solution to the system of equations?
y = 3x - 4
2y - 6x = -8

Answers

Answer:

Infinite solutions.

Any number.

Step-by-step explanation:

First, substitute one of the variables, x or y into one of the equations.

Since y is already isolated, substitute it in 2y - 6x = -8.

2 (3x - 4) - 6x = -8

Distribute 2 to 3x and -4.

6x - 8 - 6x = -8

Bring like terms together.

6x - 6x - 8 = -8

move -8 over to the other side of the equation and change its sign.

Or just add 8 to both sides (it is the same thing.)

You add 8 because it is to cancel out the negative 8 and get rid of it.

6x - 6x = -8 + 8

This equals 0 = 0 so there are infinite solutions to this system of equations.

What is the sum of 36oz and 4 pounds
A. 6lb
B. 6lb, 4oz
C. 96oz
D. 98oz
Please include explanation:) ​

Answers

Answer B
There are 16 oz in a pound. 16(2)=32 and there are 4 oz leftover.

Who is your favorite y-o-u-t-u-b-e-r

Answers

Answer:

dream

Step-by-step explanation:

why not

Answer:

Mine is 5 minute crafts

I love crafts, so ya. They are pretty popular

please give me brainiest :) !

62.1 divided by 58.6

Answers

Answer:

62.1/ 58.6= 1.05972696

the rounded answer would be 1.06

Step-by-step explanation:

Answer:

62.1 divided by 58.6=1.05972696

please help it’s urgent!!

Answers

Answer:

I believe the answer is A

Step-by-step explanation:

Since when translating down it moves the Y variable and not the X and when reflecting it will turn negative X (-3) into positive 3

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