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].
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.
Answer:
Its B
Step-by-step explanation:
Answer: A point does not have a formal definition, and a vertex is described through undefined terms.
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
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:
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.
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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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
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 FOR A GRADE DUE TODAY BRUH PLS
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:
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
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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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
Midpoints...........
Answer:
OP = 2
Step-by-step explanation:
please mark me brainliest and 5 star
Answer:
[tex]op = 2[/tex]
Step-by-step explanation:
[tex]look \: picture \\ \\ pls \: mark \: as \: brainliest[/tex]
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.
Answer:
23
Step-by-step explanation:
Multiply. Write your answer as a fraction in simplest form.
5
4x
6
pls help me on this
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
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
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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:
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:
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
62.1 divided by 58.6
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
What is the solution to the system of equations?
y = 3x - 4
2y - 6x = -8
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.
Which equation matches the graph shown?
Answer:
very easy question.
Step-by-step explanation:
option 3 is correct
Simplify the expression: 3(5x - 2) + 3x
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 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)
Answer: c
Step-by-step explanation:
Just took the test
Who is your favorite y-o-u-t-u-b-e-r
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 :) !
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
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
pls help I will fail 10th grade
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)
PLEASE ANSWER ASAP!!Find a rational function that might have the given graph. (More than one answer might be possible.)
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.
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Pleas help I give brainliest, its my final
What is the sum of 36oz and 4 pounds
A. 6lb
B. 6lb, 4oz
C. 96oz
D. 98oz
Please include explanation:)
please help it’s urgent!!
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
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
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).
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What is 32% lower than 501,950?
Answer:
341, 326
Step-by-step explanation:
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?