Answer:
[tex]A = 101.5825591635[/tex]°
Step-by-step explanation:
We can use the law of cosines. We have a triangle with side lengths as attached. (See image.)
So we want to solve for angle A.
We do this by using:
[tex]cos(A)=(b^2 + c^2 - a^2) / (2bc)[/tex]
Here we have:
a = 36
b = 27
c = 19
So we plug in to get:
[tex]cos(A)=(27^2 +19^2-36^2)/(2*27*19)[/tex]
[tex]cos(A)=-0.20077972709[/tex]
[tex]A = 101.5825591635[/tex]°
is the function y= sin(x)/x even, odd or neither
The function y = sin(x) / x is an even function.
What is an even function?Even Function - A true function f(x) is said to be an even function if the output value of f(-x) is the same as the f(x) for all values of x in the domain of f.
The equation should be stored in an even function:
f(-x) = f(x)
The function is given as,
y = sin(x) / x
Put x = -x, then we have
y = sin(-x) / (-x)
y = -sin(x) / (-x)
y = sin(x) / x
The function y = sin(x) / x is an even function.
More about the even function link is given below.
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Solve the inequality:
4x−2≤6
Select one:
x≥1
x≤2
x≥2
x≤1
Answer:
x≤2Step-by-step explanation:
To do this, first add over the 2. That makes 4x≤8. Then divide by 4. That make x≤2
Answer:
x≤2
Step-by-step explanation:
4x-2≤6 add to 2 to both sides
4x≤8 divide both sides by four
x≤2
Hope this helps! :)
Please help me find
Answer:
150 feet
Step-by-step explanation:
the ratio of her shadow to her height
2/5=60/150
60/150=2/5
i hope it is right
Answer:
The answer is C) 150 feet
Is rigth
Step-by-step explanation:
2/5=60/150
2/5= 0.4
60/150=0.4
what is the inverse of f(x)? show the work
f(x)+3x+5
Answer:
[tex]f^-^1(x)=\frac{1}{3}x-\frac{5}{3}[/tex]
Step-by-step explanation:
To solve for the inverse, we need to switch the variables and solve for y.
Note that f(x) is the same as y or in other words, the output.
f(x) = 3x + 5
y = 3x + 5
~Switch variables
x = 3y + 5
~Subtract 5 to both sides
x - 5 = 3y
~Divide 3 to everything
1/3x - 5/3 = y
~Flip
y = 1/3x - 5/3
Best of Luck!
1. Armando started a new job as a mechanical engineer for a coal plant with an
annual salary of Php 200 000.00 in 2010. If she receives a Php 24 000.00 raise
each year, how much will her annual salary be in 2020?
Answer:
224,000
Step-by-step explanation:
annually she earns 200,000and a raise of 24,000 each year hence the sum of the two will get you an asnwer
Points A, B, and C are collinear. Point B is between A and C. Solve for x
AB= 3x, BC= 2x - 2 , and AC= 18. Find x.
Answer:
x=4
Step-by-step explanation:
You set the equation up like this
3x+2x-2=18
5x-2=18
5x=20
x=4
Define constant of proportionality.
Answer:
Step-by-step explanation:
The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX. The constant of proportionality is, the value of Y is dependent on how the given value of X is effected by the constant of proportionality.
Please help the picture is above. I’ll mark as brainliest.
Answer:
s= 2000n + 55000
comparing with y= mx +c
The slope of given line is 2000 which represents that the salary of camden increases at the rate of 2000 per year .
Step-by-step explanation:
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
A certain middle school opens at 7 A.M., and classes begin at 8 A.M. A sociologist gathered data on the number of minutes after 7 A.M. that a student arrives at school and the number of friends the student has on social media. The correlation between the two variables indicated a strong negative relationship. Which of the following is an appropriate interpretation of the correlation?
Answer:
As the number of minutes of arriving after 7 A.M. increases, the number of friends on social media tends to decrease.
Step-by-step explanation:
Correlation does not imply causation. Also, the negative relationship indicates that as the number of minutes of arriving after 7 A.M. increases, the number of friends on social media tends to decrease.
eleven times onennumber is 9 more than 8 times another number. the first number minus four is half the second number. find the numbers
Answer:
I'm pretty sure its 11 and 14
Step-by-step explanation:
Sorry if i'm wrong or can't help more.
Identify the domain of the relation (-5, 10), (-2, 11), (1, 4), (5, 10) *
Answer:
-5,-2,1,and 5
Step-by-step explanation:
Raquel can type 63 words every minute. Rick can type 73 words every minute. How many more words can Rick type than Raquel in 135 minutes?
Group of answer choices
Answer:
1350 words
Step-by-step explanation:
8505 is the amount of words raguel can type in 135 minutes. 9855 is the amount Rick can type in 135 min. 9855-8505=1350 which is the answer
Lee combines 7.63 ounces of strawberries with 5.26 ounces of blueberries to make a fruit bowls. He pours the fruit equally into 2 bowls, and has 1.37 ounces of fruit left over. How many ounces of fruit are in each bowl?
Answer:
7.63 ounces of strawberries + 5.26 ounces of blueberries
7.63 + 5.26= 12.89 - 1.37 left over = 11.52 to be split between 2 bowls equally
11.52/2 = 5.76 per bowl
5.76 ounces of fruit in each bowl.
What is mathematical expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given,
strawberries = 7.63 ounces
blueberries = 5.26 ounces
Put the fruits into two equal bowls in equal amounts
let the amount be x
remaining amount = 1.37 ounces
According to the statements, we can state that,
2x + 1.37 = 7.63 + 5.26
2x = 11.52
x = 5.76
Therefore, the two bowl contains 5.76 ounces of fruit each.
Read more about mathematical expression here:
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Graph the line with slope of 53
5/3 and goes through the point (2,1).
Answer:
We kindly invite you to see the image attached for further details.
Step-by-step explanation:
From Analytical Geometry we get that linear functions can be found after knowing a point and its slope. The standard form of a linear function is represented by the following formula:
[tex]y =m\cdot x +b[/tex] (Eq. 1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
At first we need to calculate the y-Intercept, which is cleared within (Eq. 1):
[tex]b = y-m\cdot x[/tex]
If we know that [tex]y = 1[/tex], [tex]x = 2[/tex] and [tex]m = \frac{5}{3}[/tex], then the y-Intercept of the linear function is:
[tex]b = 1-\left(\frac{5}{3} \right)\cdot (2)[/tex]
[tex]b = -\frac{7}{3}[/tex]
Line with a slope of [tex]\frac{5}{3}[/tex] that goes through the point (2, 1) is represented by [tex]y = \frac{5}{3}\cdot x -\frac{7}{3}[/tex].
Lastly, we graph the line by using a plotting software (i.e. Desmos), whose result is included below as attachment.
A student calculated the density of copper to be
8.37 g/cm3. The accepted value for the density of
copper is 8.92 g/cm3. What is the percent error in the
density?
Answer:
0.55/8.92×100
55/8.92
=6.17%
Caroline walks 912 inches per second. As unit rate
Answer:
specify please
Step-by-step explanation:
Answer:
I have been trying to get this answer for the longest
Step-by-step explanation:
The value of a comic book in the dollars has been found to be 0.20y + 1.50, where y is tye number of years since it was released. for the question there is increasing per year for the comic and the initial value
The increase rate per year is 0.
What is calculus?Calculus is a branch οf mathematics that deals with the study οf rates οf change and hοw things change οver time. It has twο main branches, differential calculus which studies instantaneοus rates οf change, and integral calculus which deals with accumulatiοn and area.
here given equatiοn fοr the value οf the cοmic bοοk is:
V(y) = 0.20y + 1.50
where y is the number οf years since it was released.
Tο find the rate οf increase per year fοr the value οf the cοmic bοοk, we can take the derivative οf V(y) with respect tο y:
dV/dy = 0.20
This means that the value οf the cοmic bοοk increases by 0.20 dοllars per year.
Tο find the rate οf increase per year fοr the initial value οf the cοmic bοοk, we need tο lοοk at the y-intercept οf the equatiοn fοr V(y). The y-intercept is the value οf V when y is 0, which is:
V(0) = 0.20(0) + 1.50 = 1.50
Therefοre, the initial value οf the cοmic bοοk is $1.50.
Tο find the rate οf increase per year fοr the initial value, we can calculate the derivative οf the initial value with respect tο y, which is:
d/dy (1.50) = 0
This means that the initial value οf the cοmic bοοk dοes nοt change with respect tο time, sο its rate οf increase per year is 0.
To learn more about calculus, from the given link.
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Why is brainliest so important and why is leveling up so important
Answer:
Its is so u get points make me he brainlst thx
Step-by-step explanation:
For each expression, x = 9 and y = 3.
2x · 4y - 10
a. 12
b. 10
c. 20
d. 6
Answer
the answer is C. 20 :)
Step-by-step explanation:
hope it helps!
Jackson was solving the problem below for k. However, he made a mistake.
19 - 2k = 3k - 1
+3k +3k
19 +1k = -1
-19 -19
k = -20
Part A: Identify the FIRST mistake Jackson made.
Part B: Solve for k.
Identify the set of numbers that best describes the situation. Explain your choice.
The weight of a person in pounds.
129.3lb
please help will give brainiest
Answer:
Step-by-step explanation:
it's a rational number because it can't be a whole number with the decimal point and it can't be an integer because it's not a negative or positive number it also can't be an irrational number because an irrational number isn't a terminating or repeating decimal its a rational number because it's a terminating number
Please help! Will give brailiest!
PLEASE HELPPP ASAP 50 POINTS !!!!!!!!!!!!!!!!!!! PIC BELOW
Nine students were absent on the first day of a painting class and 12 students on the second day of the class. If p is the percent increase in the number of students who were absent, which proportion can be used to calculate p?
Answer:
ITS A
Step-by-step explanation:
Took DA TEST
Answer:
a
Step-by-step explanation:
Which describes the slope of the given line?
Answer:
Negative
Step-by-step explanation:
because it's going down towards the right.
A farmer stores bags of seed in 4 rows. There are 4 bags
in each row. How many bags of seed are there in all?
Answer:
16 bags in all
Step-by-step explanation:
4x4=16
Answer:16
Step-by-step explanation:
4*4 or 16/4 = 16
Use the formula an = aj(r)a- to write a formula for the geometric sequence below.
3, 6, 12, 24, 48, ...
Answer:
[tex]a_{n}[/tex] = 3[tex](2)^{n-1}[/tex]
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
6 ÷ 3 = 12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 2
This indicates the sequence is geometric with n th term
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 3 and r = 2 , thus
[tex]a_{n}[/tex] = 3[tex](2)^{n-1}[/tex]
D 145
which expression is equivalent to 5(4x + 3) - 2?
А
187 + 15
B
187 + 3
C 7x + 8
D 2r + 8
Answer:
C
Step-by-step explanation:
No option is equal to the expresion, but.C is similar.
What is –96 ÷ +3? im a little confused when it comes to math