Answers
By knowing all sides of triangle and applying the formula of the law of the cosines we conclude that the missing angle X is approximately 117.9°.
How to find the missing angle
In this question we have a triangle with three known side lengths but all missing angles, we can determine the missing angle by using the law of cosines. If we know that x = 90 ft, y = 55 ft and and z = 50 ft, then the missing angle X is:
90² = 55² + 50² - 2 · 55 · 50 · cos X (1)
X ≈ 117.916°
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Related Questions
What is the Unknown number in proportion
Answers
Answer:
8*7/4=7x
56/4=7x
14=7x
x=2
Step-by-step explanation:
PLEASE ANSWER QUICKLY!
A piggy bank contains 22 dimes, 7 nickels and 15 quarters. This morning you removed 8 dimes and 3 nickels. Which expression correctly shows the amount remaining in the piggy bank?
Answers
Answer:
The top one
Step-by-step explanation:
suppose you create a graph of the cost function, c=20n + 500 of a new bookstore, and you also graph the revenue function, r=25n, where n is the number of books sold. On your graph, would the point n=150 in the loss section, the profit section, or the break-even section.
Answers
Answer:
Loss section
Step-by-step explanation:
Given
[tex]c = 20n + 500[/tex] -- cost
[tex]r = 25n[/tex] -- revenue
Required
Determine where n = 150 is
To do this, we substitute 150 for n in the given functions
[tex]c = 20n + 500[/tex]
[tex]c = 20 * 150 + 500[/tex]
[tex]c = 3500[/tex]
[tex]r = 25n[/tex]
[tex]r = 25 * 150[/tex]
[tex]r = 3750[/tex]
The above shows that the revenue is greater than cost for n = 150.
This implies that, n = 15o is the loss section.
Answer: profit section :)
The outputs of function are its domain true or false?
Answers
PLEAAASE HELPP that would be very much appreciated
Answers
Answer:
h(x) = (x + 4)^2 - 2
Step-by-step explanation:
Start with the red graph: f(x) = x^2
First we move the entire graph 4 units to the left. The resultant function is g(x) = (x + 4)^2.
Next, we move this latest graph 2 units down. The resultant function (and answer to this question) is h(x) = (x + 4)^2 - 2
Is x^2+y^2=100 a function
Answers
Using the function concept, it is found that [tex]x^2 + y^2 = 100[/tex] is not a function, as for each value of x there is more than one corresponding value of y.
Function:In a function, one value of the input can be related to only one value of the output, that is, for each value of x, there can only be one respective value of y.In this problem, the relation is:
[tex]x^2 + y^2 = 100[/tex]
For example, considering x = 0, the corresponding values of y are:
[tex]0^2 + y^2 = 100[/tex]
[tex]y = \pm \sqrt{100}[/tex]
[tex]y = \pm 10[/tex]
Hence, it is not a function, as for each value of x there is more than one corresponding value of y.
To learn more about the function concept, you can take a look at
2) Of 320 million people in the United States, about 224 million take at least one type of prescription drug. What percent take at least one type of prescription drug?
Please show work
Answers
What is the length of s (the height of one of the triangular faces)?
Round your answer to the nearest tenth.
Answers
Answer:
s = 16.2 units
Step-by-step explanation:
s^2 = 15^2 + 6^2 (6 is 1/2 of 12)
s^2 = 225 + 36
s^2 = 261
s = 16.16
What single percentage change is equivalent to a 7% increase followed by a 22% increase
Answers
Answer:
Single increase rate = 29.47%
Step-by-step explanation:
Given:
First increase rate = 7%
Second increase rate = 21%
Find:
Single increase rate
Computation:
Assume number is a
So,
First increase rate = 7%
a + 7%
= 1.07a
Second increase rate = 21%
1.07a + 21%
1.2947a
So,
Single increase rate = 1.2947 - 1
Single increase rate = 0.2947
Single increase rate = 29.47%
If you need more Spad
Pythagorean Theorem. Lights and More Lights
The residents of watson Avenue are decorating their houses for upcoming holidays
They have decided to all string lights around the roofs their houses, How many feet of
lighting does Sarina need if she wants to string lights along roof?
Your work should include:
Length of the roof including formulas used (3 points)
A description of the Pythagorean Theorem (3 points)
Calculations (3 points)
Explanations using math terms (3 points)
If you need more space to show your problem
solving go to th next slide
Answers
Answer:
Just convert the number to the third digit and the answer will be b
Which statement describes the graph
Answers
Answer:
Your answer is A
Step-by-step explanation:
I hope I helped :)
Hi, could someone solve this parametric system?
7х+4y – 5z = 2
3х +5y +kz = 4
X+ky +7z = k
Answers
9514 1404 393
Answer:
(x, y, z) = ((7 -2k)/(-31 +7k), (-29 +7k)/(-31 +7k), 1/(31 -7k))
Step-by-step explanation:
The system can be solved by any of your favorite methods. Treat k as you would any number.
My row reduction software says the solution is ...
(x, y, z) = ((7 -2k)/(-31 +7k), (-29 +7k)/(-31 +7k), 1/(31 -7k))
__
Clearly, k ≠ 31/7.
The augmented coefficient matrix is attached.
This graph shows how long, in minutes, it takes Malaya run her miles. How
long does it take her to run 8 miles? *
Answers
Answer:
80 minutes
Step-by-step explanation:
On your graph it says each mile takes 10 minutes. 8 miles take 80 minutes.
I don't understand this please help me!
Answers
So do 300/40 to get 7.5
Pls help I’ll brainlest ASAP
Answers
Answer:
He is 15 years old.
Step-by-step explanation:
I hope this helps :)
Answer:
Artaud is 15 years old
Step-by-step explanation:
Imagine Artaud is x yearrs old.
Now, turning the words in the problem into math equations, we get:
-x + 42 = 27.
Solving for x, we get:
-x = -15
x = 15.
So, Artaud is 15 years old.
write an equation through the points (-3,7) and (1,-1)
Answers
The slope is -2.
The slope is the rise over the run. Because the line goes down from left to right, it makes the value negative. For every one the it moves to the right, the line goes down two units.
Latoya opened a savings account and made an initial deposit. After the initial deposit,she added money into the account each week. She added the same amount of money each week, and she did not make any withdrawals. After 4 weeks, she had $450 in her account. After 9 weeks, she had $825 in her account. How much money is Latoya adding to her account each week?
Answers
Answer:
Apologies, but you need to tell me the initial deposit amount in order to solve this.
Step-by-step explanation:
;-; mark brainliest to make you feel better
Answer:$50
Step-by-step explanation:
Joyce Mesnic bought an HP laptop computer at Staples for $699. Joyce made a $100 down payment and financed the
balance at 10% for 12 months. What is her monthly payment? (Round your answer to the nearest cent.)
Answers
599/12= $49.92
Decrease £2155.45 by 18.5% then rounded to 2dp
Answers
Answer:
18.5%/10×100
185
2155-185
1970
now pls round off cause I don't understand 2dp
The playing surface of a football field is 263 feet long and 116 feet wide. If a player runs from one corner of the field to the opposite corner, how many feet does he run? Round to the nearest whole number.
Answers
Answer:
263 ft
Step-by-step explanation:
Because the field is 263 feet long he is not running wide
it is already rounded hope this helps
Which graph can be used to find the solution to the system of equations below? 2x + y = -4 - 3y = 2x + 12 2 -4-3-2-1 -1 1 2 3 5 2. -5 3-2 1 2 1 2 3
Answers
Answer:
F
Step-by-step explanation:
2x+y = -4
put into slope-intercept form: y = -2x - 4
-3y = 2x+12
In slope-intercept form: y = -⅔x - 4
Both equations have a y-intercept of -4. There is only one graph where both lines pass through (0,-4).
The solution of the given system of equation is (0, -4). Therefore, option A is the correct answer.
The given system of equations are 2x+y=-4 and -3y=2x+12.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The system of equations can be solved as follows:
Here, 2x+y=-4 ----------(1)
-3y=2x+12 ----------(2)
From equation(1), y=-4-2x
Now, put y=-4-2x in equation (2) and simplify
That is, -3(-4-2x)=2x+12
⇒ 12+6x=2x+12
⇒ 4x=0
⇒ x=0
Substitute x=0 in equation (2), we get
-3y=12
⇒ y=-4
The solution of the given system of equation is (0, -4). Therefore, option A is the correct answer.
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A triangle has two sides of lengths 7 and 9. What value could the length of the third side be? Check all that apply.
Answers
Answer:
A
B
C
E
Step-by-step explanation:
Answer: A, C, E, B I think im PRETTY sure im correct. Maybe 100% sure :)
For the sequence tn=n^2-2n,find the third term
Answers
Answer:
t₃ = 3
Step-by-step explanation:
To find the third term substitute n = 3 into the formula, that is
t₃ = 3² - 2(3) = 9 - 6 = 3
Answer:
tn=n^2-2n
n =3
t3 = 3^2 -2(3)
t3 = 9-6
t3 = 3
find the value of the greater root of x^2 + 10x + 24x = 0 a) -6 b) -4 c) 4 d) 6
Answers
what formula is applied, I mean what method
Answer:
B
Step-by-step explanation:
We have the equation:
[tex]x^2+10x+24=0[/tex]
We can factor:
[tex](x+6)(x+4)=0[/tex]
By the Zero Product Property:
[tex]x+6=0\text{ or } x+4=0[/tex]
Solve:
[tex]x=-6\text{ or } x=-4[/tex]
-4 is greater than -6, so -4 is the greater root.
Our answer is B.
What is the solution to x-4≤6?
Answers
Answer:
x - 4 _< 6
Step-by-step explanation:
3579
How do I write it out to solve the problem
Answers
Answer:
three thousand five hundred seventy nine
Step-by-step explanation:
find the value of the second in this sequence
34 __ 84 109 134
Answers
Answer:
the answer is 59
Step-by-step explanation:
your welcome
185.30 divided by 357.25
Answers
Answer:
0.52014035087
Step-by-step explanation:
Answer:
0.51868439468
Step-by-step explanation:
Ms. Miller pays her electric and internet bill with South Central Cooperative. Her bill is due on February 22nd, and the balance is (-$156.65). Does she owe any money? Why or why not? Explain your reasoning.
Answers
Answer: yes
Step-by-step explanation:
yes because it's nagitve and not positive so that means that so lost money so she got's to give them money back.
solve the system of equations 6x+3y=12 and 5x+y=7
Answers
Solving for x
3(2x+y)=12
2x+y=12/3
2x+y=4
2x=4-y
X=4-y/2
Answer:
x = 1; y = 2
Step-by-step explanation:
To find x:
Multiply (5x+y=7) by 3 to get the y's in both equation the same, and you will get 15x+3y=21.
Now the y's cancel out. Subtract the remaining equations: (15x=21) - (6x=12) and you get 9x = 9. Divide everything by 9 and you get x=1.
To find y:
You can substitute 1 for x in either equation. I will use (5x+y=7).
Substitute the 1 for x: 5(1)+y=7
Simplify: 5+y=7
Put like terms on the same side by subtracting 5 from both sides: y=2
Check:
6(1) + 3(2) = 12
6 + 6 = 12
12 = 12 - this is right
5(1) + (2) = 7
5 + 2 = 7
7 = 7 - this is right