Given:
θ is an angle in standard position and its terminal side passes through the point (-4,-9).
To find:
The exact value of tanθ in simplest radical form.
Solution:
If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of tanθ is:
[tex]\tan \theta=\dfrac{y}{x}[/tex]
It is given that, θ is an angle in standard position and its terminal side passes through the point (-4,-9). So, t he exact value of tanθ is:
[tex]\tan \theta=\dfrac{-9}{-4}[/tex]
[tex]\tan \theta=\dfrac{9}{4}[/tex]
Therefore, the required value is [tex]\tan \theta=\dfrac{9}{4}[/tex].
Hey guys I need help again please.. it’s question number 5
Simplify the expression 2* = 210.
Answer:
1/64
Step-by-step explanation:
When dividing numbers with exponential values (that have the same base), you subtract the exponential values. 4 - 10 is -6, so the answer would be 2^-6. However, that is not simplified yet. If the exponent is negative, the expression turns into a fraction. 1/2^6 can also be written as 1/64, which is the final answer.
here try to figure out this problem
Answer:
2
Step-by-step explanation:
2 is the slope, it's going up 2, and right 1 which is 2/1 or just 2
Hope this helps
Determine if the following triangles are similar. Show all work to justify your answer.
If they are similar write the correct similarity statement for the triangles.
Answer:
they are similar
Step-by-step explanation:
1.6/1.2=1.3333
2.8/2.1=1.3333
they are similar as their ratios of the legs are equal
can I get a walkthrough on these problems please?
Answer:
Step-by-step explanation:
52 + 27 = angle 1 (sum of two interior opposite angle is equal to the exterior angle formed)
79 = angle 1
angle 2 + 71 = 92 degree (sum of two interior opposite angle is equal to the exterior angle formed)
angle 2 = 92 - 71
angle 2 = 21 degree
which table represents a nonlinear function?
Answer:
C
Step-by-step explanation:
Equations of parallel lines
Answer: c
Step-by-step explanation:
In order to be parallel, the slope must be the same. This means slope is 2
Now one of the point is 5,-1, so do 2x5 + x = -1, so x = -11
meaning b is -11
so the equation should be y=2x-11
(First correct answer for brainliest) Find the length of JM
Answer:
JM = 18 units
Step-by-step explanation:
∆MHN and ∆JKH are similar (by A.A.A axiom)
so, their sides are proportional
i.e.
(JM+18)/(20+15) = 18/15
or, JM + 18 = 540/15
or, JM = 36-18
hence, JM = 18
A square has an area of 36 ft^2. What is the perimeter of the square? Show or explain your
answer.
Answer:
24 ft
Step-by-step explanation:
The area of a square is given by
A = s^2
36 = s^2
Take the square root of each side
sqrt(36) = sqrt(s^2)
6 = s
The perimeter of a square is
P = 4s
P = 4(6)
P = 24
Shirts-2-Go sells t-shirts for a base price of $12 per shirt plus a fixed fee of $3 shipping and handling for the whole order. Shirts PLUS sells t-shirts for a base price of $8 per shirt plus a fixed fee of $23 shipping and handling for the whole order. Let x represent the number of shirts ordered and let y represent the total cost of the order.
y = 12x + 3
y = 8x + 23
How many shirts would you have to purchase for the total cost to be the same at both companies?
Answer:
5 shirts
Step-by-step explanation:
Y=12x+3 equation 1
y=8x+23 equation 2
12x+3=8x+23 substituting y value will cause equations to equal
4x=20
x=5 shirts
check answer
y=12x+3
y=12(5)+3
y=60+3
y=63
y=8x+23
y=8(5)+23
y=40+23
y=63
Please help me please
Answer:
21
Step-by-step explanation:
If lines m and n are equal, line t intersects both of them at the exact same angle. This means that 6x+3=7x-19. Start moving the variables to one side. 3=x-19. Then move the numbers to the other side of the equation. x=21.
Which function is graphed below?
Answer:
[tex]g(x)=\sqrt{x+2}[/tex]
Step-by-step explanation:
Parent function of the given graph is,
f(x) = [tex]\sqrt{x}[/tex]
If the parent function is shifted 2 units to he left the new function or image function will be,
g(x) = [tex]\sqrt{x+2}[/tex]
Therefore, graph will represent the graph of the function g(x) = [tex]\sqrt{x+2}[/tex].
Tìm tất cả các giá trị của y sao cho. x2 + y2 +2z2 +2xy - 2xz - 4yz + 3y >= 0 với mọi x, z
Answer:
shimani mashashina mashina shishushi mashinana
Simon and sherry went blueberry simon picked 18.5 pounds and sherry picked 21.84 pounds
Answer:
ok
Step-by-step explanation:
whats the question?
Perform the transformations
In the triangle below, what is the sine of 60°?
site
60°
2
1
30°
13
ОА.
NI
O B. 2
O c. 1
D. VE
Answer:
[tex]{ \boxed{ \bf{formular : } \: { \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }}}} \\ \sin(60 \degree) = \frac{ \sqrt{3} }{2} \\ { \underline{ \blue{ \tt{ {beckerjnr}}}}}[/tex]
The value of expression sine of 60° is,
⇒ √3 / 2
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle is shown in image.
Now, We know that;
Sin x = Opposite / Hypotenuse
Hence, We get;
⇒ sin 60° = √3 / 2
Thus, The value of expression sine of 60° is,
⇒ √3 / 2
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
There are 75 students in classes A and B altogether. There are 61 students in classes A and C altogether. The ratio of the number of students in Class B to Class C is 5:3. How many students are there in Class A?
Answer:
40
Step-by-step explanation:
A + B=75
A + C = 61
B = 5/3 *C
A+C * 5/3 = 75 then we got the answer
Answer:
A = 40
Step-by-step explanation:
A+B = 75
A+C = 61
Subtract
A+B = 75
-A-C = -61
----------------------
B-C = 14
B:C
5:3
for every 5B there are 3C
Replace B with 5/3 C
5/3C-C = 14
2/3C = 14
C = 21
A+C = 61
A +21 = 61
A = 40
pls answer by step by step
Answer:
[tex]\frac{\sqrt{5}-\sqrt{2} }{3}[/tex]
Step-by-step explanation:
[tex]\frac{1}{\sqrt{5} + \sqrt{2} }[/tex]
[tex]\frac{1}{\sqrt{5} + \sqrt{2} } * \frac{\sqrt{5} - \sqrt{2} }{\sqrt{5} - \sqrt{2} }[/tex]
[tex]\frac{\sqrt{5} - \sqrt{2} }{(\sqrt5)^{2} - \sqrt{2})^2 } }[/tex]
[tex]\frac{\sqrt{5} - \sqrt{2} }{5-2}[/tex]
[tex]\frac{\sqrt{5}-\sqrt{2} }{3}[/tex]
Which one of the following is a non-profit financial intermediary?
Leasing company
Mutual fund
Credit union
Investment bank
Answer:
The answer is Credit union
Step-by-step explanation:
(+58) x (-75) =
I don't understand this! Can someone help me?
Answer:
-4350
Step-by-step explanation:
-((58)x(75))=
-(4350) =
-4350
High population density can cause increases in competition for resources, such as food and shelter. The table shows the number of zebras living in four different regions.
A 3-column table has 4 rows. The first column has entries Region A, Region B, Region C, Region D. The second column is labeled Population of Zebras with entries 1,312, 630, 16,400, 17,800. The third column is labeled Area (kilometers squared) with entries 212, 314, 625, 902.
In which region is competition for resources most likely the greatest?
Region A
Region B
Region C
Region D
Answer: C. Region C
Step-by-step explanation: Done on edge! Hope this helps!
Question 1
Which of the following numbers is greater than 6 and less than 8?
60
O 780
70
Answer:
The number which is more than 6 and less than 8 is 7.
Step-by-step explanation:
There are the natural numbers.
To find the number which is more than 6 but less than 8.
The numbers which are more than 6 are 7, 8, 9, 10, ....
The numbers which are less than 8 are ...,3, 4, 5, 6, 7
So, the number which is more than 6 and less than 8 is 7.
13. Jimmy is writing a paper for one of his classes. The paper has to be 3,000 words
long, and so far he has written 696 words. If he only has 6 more days to write
his paper and wants to write the same number of words each day, then how
many words must he write per day to finish the paper?
Answer:
500
Step-by-step explanation:
3000 divided by 6
Hope this helped, sorry if I'm wrong!
Answer: 384
Step-by-step explanation:
Subtract 3,000 by 696 to see how many words he has left.
3,000 - 696 = 2,304
Then divide 2,304 by 6.
2,304 ÷ 6 = 384
Your answer is 384 words each day.
Someone please help me ASAP
Answer:
(4, 0)
Step-by-step explanation:
D is clearly (1, 2).
so, for D' we have (1+3, 2-2) = (4, 0).
that's it. there is nothing more to it.
Please help ASAP thank you
Help me which one is correct?
Answer:
here is the answer bae. Feel free to ask for more
Answer: -m3+m2
Step-by-step explanation: 2m2-[m2(7m-)]6m2
2m2-7m2-m3+6m2
-m3+m2
Find the difference of the numbers. Express your answer in scientific notation.
(9.84 x 100)-(7.99x109)
1.85 x 10^9
9.041x 10^
1.85 x 10^10
9.041x 10^10
Answer:
D: 9.041 × 10^(10)
Step-by-step explanation:
The correct expression is;
(9.84 × 10^(10)) - (7.99 × 10^(9))
To subtract this, we need to ensure that both terms have the same powers.
Thus, (7.99 × 10^(9)) = (0.799 × 10^(10))
Lets now solve;
>> (9.84 × 10^(10)) - (0.799 × 10^(10))
Collecting like terms we have;
(9.84 - 0.799) × 10^(10)
>> 9.041 × 10^(10)
Cedarburg's zoo has two elephants. The male elephant weighs 3 3/4 tons and the female
elephant weighs 7/12 of a ton. How much more does the male weigh than the female?
Answer:
3.16666667 tons
Step-by-step explanation:
hope this helps have a good evening
14. If I share 123 sweets equally among amongst 7 children, how many sweets will each child get?
……………………………………..
Answer:
No. of sweets = 123
No. of children = 7
then
sweets per children =123/7 =17. 57
Answer: =17.57
Step-by-step explanation:
Divide the no. of sweets by the no. of children
=123/7
=17.57
The graph of y - 3x + 2 is:
Instructions: Find the slope of the line through the points (-15, 14) and (13, 6). Make sure to simplify
fractions and enter your answers with a foward slash (i.e."/"). If the slope is undefined enter "undefined."
Slope =
Answer:
= -2/7
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= ( 6-14)/(13 - -15)
= (6-14)/(13+15)
= -8/28
= -2/7
