Answer:
Step-by-step explanation:
sinθ < 0 means below the x axis
cotθ = cosθ/sinθ < 0
As sinθ is already < 0 means cosθ has to be > 0 meaning right of the y axis.
Right of y and below x is the IV quadrant.
The quadrant in which angle theta lie if sin theta < 0 and cot theta < 0 exists Quadrant IV (4).
What is meant by Trigonometric Identities?Trigonometric Identities are equality conditions that hold for all possible values of the variables in the equation and use trigonometry functions. There exists numerous unique trigonometric identities that relate a triangle's side length and angle.
here, we have,
Sine, cosine, and tangent are the fundamental three operations in trigonometry. The cotangent, secant, and cosecant functions are derived from these three basic functions. On these functions, all trigonometrical notions exists built.
Trigonometric identities are equality conditions in trigonometry that hold for all values of the variables that appear and are defined on both sides of the equivalence. These exists identities that, geometrically speaking, involve certain functions of one or more angles.
we have,
sinθ < 0 means below the x axis
cotθ = cosθ/sinθ < 0
As sinθ is already < 0 means cosθ has to be > 0 meaning right of the y axis.
Right of y and below x is the IV quadrant.
Hence, The quadrant in which angle theta lie if sin theta < 0 and cot theta < 0 exists Quadrant IV (4).
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Translate to an equation and solve. Let x be the unknown number.
30% of 26 is what number?
Answer: x/30=26/100 would be the equation and then to get the answer you would cross multiply which would get you, x=7.8
Step-by-step explanation:
Pls and thiss I beggg
Answer:
x=115°,y=50°
Step-by-step explanation:
let <B =x
115°+x=180°
x=180°-115°=65°
Since <B=<C
x+65°=180
x=180-65=115°
For y,
y+2(65°)=180°
y+130°=180°
y=180°-130°=50°
Han earns $33.00 for babysitting 4 hours. At this rate, how much will he earn if he babysits for 1 hour?
Answer: $8.25
Step-by-step explanation: 33 divided by 4 (find unit rate)
Answer: $8.25
Step-by-step explanation:
Simply divide $33.00 by 4. 33/4 = 8.25
Explain what a graph for Jed’s test scores {61%, 65%, 73%, and 79%} would look like if it was not misleading. Make sure it is different than Jed’s graph – that some may say is misleading.
Answer:
61
^
^
^ 65 73
^ 79 ^ ^
^ ^ ^ ^
-----------------------------------------------------------------------------------------------------------------
Test 1 Test 2 Test 3 Test 4
Answer: the test doesn't explain the order it was taken or dates. So it can be misleading
Step-by-step explanation:
Justin has $500 in a savings account at the beginning of the summer. He wants to have at least $300 in the account by the end of the summer. Justin withdraws $20 each week for food, clothes, and movie tickets. How many weeks (w) can Justin withdraw money from his account?
Answer:
10 weeks
Step-by-step explanation:
1 because 20 times 10 is 200 and if he starts with 500 then he can withdraw 20 dollars a week for 10 weeks to have 300 left by the end of the summer, hope this helps :)
1/4% of what is 7? what is the answer please
Answer:
7/4
Step-by-step explanation:
Answer:
1/4% of 1 3/4 = 7 or you could say 1/4% of 1.75 = 7
For any nonnegative real number a, (a)2 =
=
O A. a2
O B. va
Ос. а
O D. 1
SUBMIT
Answer:
C
Step-by-step explanation:
For example, if a is equal to 2.
[tex] \sqrt{2} {}^{2} = 2[/tex]
The answer is still the given number a.
The solution of the expression √a² is,
⇒ a
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ √a²
Where, 'a' is nonnegative real number.
Now, We can simplify as;
⇒ √a²
⇒ √ a × a
⇒ a
Thus, The solution of the expression √a² is,
⇒ a
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Given log_73≈0.5646 and log_716≈1.4248, evaluate the expressions. Please show work using given values.
Answer:
(a) [tex]\log_72 \approx 0.3562[/tex]
(b) [tex]\log_7(\frac{147}{16} ) = 2[/tex]
Step-by-step explanation:
For the point a:
For this problem we use the information of [tex]\log_716 \approx 1.4248[/tex]
16 can be re-write as [tex]2^4[/tex]. Then you have:
[tex]\log_72^4[/tex]
Using the power property of the logarithm we have:
[tex]\log_ba^c = c\log_ba[/tex]
[tex]\log_72^4 = 4\log_72[/tex]
And this expression is equal to:
[tex]4\log_72 \approx 1.4248\\\log_72\approx \frac{1.4248}{4} \approx 0.3562\\[/tex]
For the point b:
For this problem we use the information of [tex]\log_716 \approx 1.4248[/tex] and [tex]\log_73 \approx 0.5646[/tex]
The first is use the quotient property in the given log.
[tex]\log_c\frac{a}{b} = \log_ca-\log_cb[/tex]
[tex]\log_7\frac{147}{16} = \log_7147 -\log_716[/tex]
We already know the value of [tex]\log_716[/tex] then we have to calculate the value of [tex]\log_7147[/tex].
So we factorize the number 147 in [tex]3 \cdot 7 \cdot 7[/tex] (for factorize the number start with the smaller prime and check if the remainder is 0, it is then is a primer factor of the number).
Now re-write [tex]\log_7147[/tex] as [tex]\log_73 \cdot 7^2[/tex] and by the product property get:
[tex]\log_bmn = \log_b m +\log_b n\\\log_73 \cdot 49 = \log_7 3 +\log_7 49 = 0.5646 + 2 = 2.5646[/tex]
Know replace each value in the subtraction and get the result:
[tex]\log_7147 -\log_716 = 2.5646 - 0.5646 = 2[/tex]
Please help. 7th grade homework. All of these has to be turned in by tomorrow morning.
White 3 6 9 12 15
Yellow 5 10 15 20 25
Which equation relates the number of yellow flowers, y, to the number of white flowers, w.
y=w+2
y= w-2
y = 2w
y= w/2
Answer:
y=2w im not shure tell me if this is wong
PLSSSS GUYS NOW FAST, This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Adrian pays his niece $30 to babysit for 5 hours.
Which expression models the change in the amount of Adrian's cash each hour that his niece babysits?
Multiple choice question.
A)
30−5
B)
–30·5
C)
−30÷5
D)
–5÷30
Part B
What was the change in Adrian's cash each hour?
Multiple choice question.
A)
–$150
B)
–$6
C)
–$3
D)
$25
Answer:
Part A would be C because divided 30 by 5 to get the unit rate.
Part B would be B
Answer:
C). −30÷5
B). –$6
Step-by-step explanation:
what numbers form a right triangle
A- 3, the square root of 9, The square root of 18
B- 3 , 4, 5
C- 7, 7, square root of 98
Choose all that Apply
let's recal the pythagorean theorem, where c² = a² + b², namely, the largest number squared is equal to the sum of the two smaller ones squared.
well, we can just start by say in A, looking the smaller sides, 3 and √9, if we squared both and add them up, do they give the largest one of √18?
[tex]\boxed{A} \\\\ 3^2+(\sqrt{9})^2 = (\sqrt{18})^2\implies 9+9 =18\qquad \textit{\Large\checkmark} \\\\\\ \boxed{B}\\\\ 3^2+4^2=5^2\implies 9+16=25\implies 25=25\qquad \textit{\Large\checkmark} \\\\\\ \boxed{C}\\\\ 7^2+7^2=(\sqrt{98})^2\implies 49+49=98\implies 98=98\qquad \textit{\Large\checkmark}[/tex]
so they all apply.
consider the sequences 31,35,39,43 ,then which of the following is the first terms of the sequences greater than 312
Answer:
316 ls the next term greater than 312. in the sequence you are adding 4 to the preceding term
The fact that the sampling distribution of the sample mean can be approximated by a normal probability distribution whenever the sample size is large is based on the _____.
Answer:
can you add a pic
Step-by-step explanation:
It is 30 miles into the town. Use the formula to work out how many km this is
Answer:
30*1.609=48.27
Hope This Helps!!!
Write an equation of the line that is parallel to the y-axis and passes through the point (−3,1). Then determine whether the slope of the line is positive, negative, zero, or undefined.
An equation is
.
Question 2
The slope is positive.
The slope is positive.
The slope is negative.
The slope is negative.
The slope is zero.
The slope is zero.
The slope is undefined.
Answer:
The slope is undefined
Step-by-step explanation:
A vertical line has points that have the same x-coordinate.
The equation is x = -3
The slope of a vertical line is undefined.
Answer:
The slope is undefined
Need help !! From mathematics only
Answer:
1) 9h² - 3h + 2h² when h= -1
11h²- 3h
11(-1)²-3(-1)
11+3
14
2) -6m + 3t +2m² when m= 3 and t=-1
-6( 3) +3(-1)+2(3)²
-18 -3 +18
-3
3) 7g² - 2c³/ 3g - c² when g=2 and c= -1
7(2)² - 2(-1)³ / 3(2) - (-1)²
28 +2 / 6-1
30/5
6
Find The nth Term of this number sequence
18, 16, 14, 12
a = 18
d = 16 - 18 = - 2
an = a + (n - 1) × d
an = 18 + (n - 1) × (-2)
an = 18 - 2n + 2
an = -2n + 20
I need some help please?!?
Answer:
A
Step-by-step explanation:
x = √a/√b
x² = √a²/√b²
x² = a/b
Answer:
Hi there
it should be A.
good
math for college readiness question. please help
Answer: 3
Step-by-step explanation:
[tex](f \circ f)(2) = f(f(2)) = f(3) = \boxed 3[/tex]
A pollutant breaks down at a rate of 2% a year. What fraction of the current amount will be present in 20 years? Let X(0) = 1.
Answer:
Step-by-step explanation:
X = 1(1 - 0.02)ⁿ
X = 1(0.98)²⁰
X = 0.6676
67%
Using an exponential equation, it is found that 66.76% of the current amount will be present in 20 years.
A decaying exponential function has the following format:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(t) is the initial value.r is the decay rate, as a decimal.In this problem, breaks down at a rate of 2% a year, hence [tex]r = 0.02[/tex], and:
[tex]A(t) = A(0)(1 - 0.02)^t[/tex]
[tex]A(t) = A(0)(0.98)^t[/tex]
The fraction after 20 years is A(20), hence:
[tex]A(20) = A(0)(0.98)^{20}[/tex]
[tex]A(20) = 0.6676[/tex]
66.76% of the current amount will be present in 20 years.
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A construction company can remove 3/8 tons of dirt from a construction site each hour. How long will it take them to remove 24 tons of dirt from the site
Answer:
64 hours
Step-by-step explanation:
(3\8) times 64 (hours) equals 24 (tons of dirt)
37+78(3)= ???
What is Answer for it ?
Answer:
271 is the answer of your question
A delivery company has a fleet of vans. The annual operating cost in dollars) per van is C = 0.37m + 2600, where m is the number of miles traveled by a van in a year. What number
of miles will yield an annual operating cost of $13,700?
mi
Answer:
Step-by-step explanation:
put C=13,700 and find m
The number of miles that will yield an annual operating cost of $13,700 is approximately 30,000 miles.
How to determine What number of miles will yield an annual operating cost of $13,700To find the number of miles that will yield an annual operating cost of $13,700, we need to solve the given equation for \(m\):
\[C = 0.37m + 2600\]
Given \(C = 13700\), we can substitute this value into the equation and solve for \(m\):
\[13700 = 0.37m + 2600\]
Subtract 2600 from both sides:
\[11100 = 0.37m\]
Now, divide both sides by 0.37:
\[m = \frac{11100}{0.37}\]
Calculate the value of \(m\):
\[m \approx 30000\]
So, the number of miles that will yield an annual operating cost of $13,700 is approximately 30,000 miles.
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What is the scale factor of the dilation?
Step-by-step explanation:
Scale Factor (Dilation) The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs. Hope this helps :)
Sarah mowed 3 lawns in 9 hours what is her rate of mowing in hours per lawn?
Answer:
Sarah mowed 1 lawn in 3 hours
Step-by-step explanation:
3 lawns divided by 3 is 1 lawn
9 hours divided by 3 is 3 hours
Answer:
See below:
Step-by-step explanation:
So we know that she moves 3 lawns in 9 hours, to find how much time she takes per lawn we can divide both sides by three to get our number. We can do this due to the reason below:
[tex]\frac{3}{9}=3:9[/tex]
Due to this, we can simplify both sides by 3 and get our rate of 1 lawn per 3 hours.
Have a nice day and feel free to ask me if you need more help :D
hi can you please answer this question 20 points if u do
Answer:
Step-by-step explanation
just multiply
like 1x2=2
so 60x2=120
2x5=10
120x5=600
and on and on
Write the equation of the line passing through (-2, 1) and parallel to the line whose equation
is y = 2x + 1. Express the equation in point-slope form and slope-intercept form.
Answer: y=2x+1 (slope intercept form) & y-1=2(x+2) (point slope form)
Step-by-step explanation:
Parallel means the m value or slope are equal
Given those points and the slope you can begin to write the slope y intercept form
y=2x+B
Solve B or Y intercept x=0 and the Y value we get from the given points.
1=2*0+B
y=2x+1 (slope intercept form)
for point slope plug the points in this equation
y-y1=m(x1-x1)
y-1=2(x+2) (point slope form)
simplify 5 − 2(2.5 − 6.7)^2
Answer:
-30.28
Step-by-step explanation:
Which number should be multiplied by 45 so that it will have 3 nct prime factors?
Answer:
2
Step-by-step explanation: