Answer:
Simple! Just plug in each x value into the equation above. Or, you could just plug the equation into a graphing calculator and find the point from there.
Step-by-step explanation:
f(3) = 16
f(4) = 21
f(5) = 26
f(8) = 41
Please do mark as brainliest. Hope this helps! :)
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
∠ G ≈ 8.3°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan G = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{HI}{GI}[/tex] = [tex]\frac{1.1}{7.5}[/tex] , then
∠ G = [tex]tan^{-1}[/tex] ([tex]\frac{1.1}{7.5}[/tex] ) ≈ 8.3° ( to the nearest tenth )
Please help me!! How do I do this?
Answer:
Taking 45 degree as reference angle
Then using sine rule
sin 45=
p/h
replacing the value of sin 45 degree by 1/root 2.so
1/root 2=9/c
doing cross multiplication
9*root 2=1*c
9 root 2 =c
therefore the value of c is 9 root 2
Step-by-step explanation:
The length of a rectangular piece of
construction paper is 8 inches and the width
is 17 inches. Vincent folded the piece of
paper along its diagonal. Which
measurement is closest to the length of the
diagonal in inches?
A. 5 in.
B. 18.79 in
C. 15 in
D. 25 in.
Answer:
B 18.79
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
To solve this system of equations by elimination you should begin by... x+y=10 2x-3y=6 A) adding the two equations together. B) multiplying the first equation by 2, then add them together. C)multiplying the first equation by 3, then add them together. D) subtracting the first equation from the second equation
Answer:
C. Multiply 1st equation by 3, then add together
Step-by-step explanation:
X+y=10
3(x+y)=3(10)multiply by 3
3x+3y=30 add to following equation
2x-3y=6
5x=36
Building A is 490 feet tall and Building B is 754 feet tall. If the angle of depression from the top of Building B to the top of Building A is 46°, how far apart are the buildings?
Answer: [tex]254.94\ ft[/tex]
Step-by-step explanation:
Given
Building A is 490 feet tall and building B is 754 ft tall.
If the angle of depression from building B to the top of building A is [tex]46^{\circ}[/tex]
Difference in the height of the two buildings is [tex]754-490=264\ ft[/tex]
If the difference between them is [tex]x[/tex]
From the figure, we can write
[tex]\Rightarrow \tan 46^{\circ}=\dfrac{264}{x}\\\\\Rightarrow x=\dfrac{264}{\tan 46^{\circ}}\\\\\Rightarrow x=254.94\ ft[/tex]
Therefore, the two buildings are [tex]254.94\ ft[/tex] apart.
(13.01 LC) What is the value of the expression 7 +(16 - 7) = 3 + 8? (2 points) O 12 O 15 O 17 O 18 Question 3
Answer:
16 > 11
Step-by-step explanation:
7 + (16 - 7) = 3 + 8
7 + 9 = 3 + 8
16 = 3 + 8
16 ≠ 11
or
16 > 11
2. Which equation describes a line that has
a slope of and a y-intercept of ?
A) 5y + 4x = 2
C) Sy - 4x = 2
B) 4x5y = 2
D) -5y - 4x = 2
Answer:
What?
Step-by-step explanation:
G8ve me more info and Ill answer again
Find the area of the nearest hundredth
Answer:
since the radius is 11 witch the radius is only half so times by 2 witch would be the diamater witch is 22 so the area would be A≈381
Step-by-step explanation:
A=14πd2=14 · π · 222 ≈ 381
i think thats it bc If the object is a circle, and you know its circumference, you would divide the circumference by pi to find the diameter of the circle. Half the diameter is the radius. Square the radius and multiply by pi to find the area of the circle.
Answer:
Step-by-step explanation:
foods that build up the immune system
Answer:
1. Citrus fruits · 2. Red bell peppers · 3. Broccoli · 4. Garlic · 5. Ginger · 6. Spinach · 7. Yogurt · 8. Almonds.
Step-by-step explanation:
Answer:
Citrus fruits.
Red bell peppers.
Broccoli.
Garlic.
Ginger.
Spinach.
Yogurt.
Almonds.
Step-by-step explanation:
Here are the city gas mileages for 13 different midsized cars in 2008. 16, 15, 22, 21, 24, 19, 20, 20, 21, 27, 18, 21, 48 What is the first quartile?
Answer:
Q1 --> 18.5
Step-by-step explanation:
what are the steps in 3-√x-2 =0 ? (to find x)
Answer:
x=1
Step-by-step explanation:
3-√x-2 =0
-√x=2-3
√x=1
x=1²=1
Which statement about rectangles and rhombuses is always true?
Answer:
B
Step-by-step explanation:
B...............................
mark me the brainliest plzzzzzzzz
The statement about rectangles and rhombuses that is always true is that both figures are quadrilaterals.
What is a quadrilateral?A quadrilateral is a closed, two-dimensional shape which has four straight sides.
In other word, a quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices.
Quadrilateral has four sides.
Rhombuses and rectangles have four sides. Therefore, they are both quadrilaterals.
learn more on quadrilateral here: https://brainly.com/question/10388790
Evaluate 1/3m-1-1/2n when m=21 and n=12
Answer:
12
Step-by-step explanation:
In how many different
ways can 5 bicycles be
parked if there are 7
available parking
spaces?
pls pasagot
Find the area of a circle with a diameter of 31.
Answer:
hope this helps
Step-by-step explanation:
31 divided by 2 = 15.5 then do 15.5 x 15.5= 240.25 then you do 240.25 x 3.14 = 754.385
when i post these questions just solve them for my brother will ya plz he will give thanks to who ever does it
Answer:
1/4 or 5/20
Step-by-step explanation:
You find how many numbers are above 10. Then find the frequency and add them together, that will be your numerator. The total number of tries is 200, that is your denominator.
Find the perimeter of the figure.
Answer:
26 meters
Step-by-step explanation: Ez. First add all the data you already have. You should end up with 19. Then, you want to find the length of the missing side. Well, we know it's 7 meters since its opposite is 7, and these lengths are in the same square. So 19+7 is 26 meters.
Answer:
[tex]26[/tex]
Step-by-step explanation:
perimeter= AB + BC + CE + DE + AD
AB= DE = 7
BC = 5
EC= 3
DE = 7
AD = 4
So, perimeter = 7+ 5+ 3+ 7+ 4
→ 12+ 10 +4
→ 24+ 4
→26
So, 26 is your answer
[tex]----------[/tex]
hope it helps..
have a great day!!
Which graph shows the line y = 4x - 2?
Answer:
Hi, there the answer is Graph A because the y-intercept and I did rise over run
Step-by-step explanation:
Hope this helps :)
Complete the square to find
the vertex of this parabola.
x^2 - 4x + y + 10 = 0
([?], [ ])
Answer: 2,-6
Step-by-step explanation:
The vertex of the parabola defined by the equation x² - 4x + y + 10 = 0 is (2, -6).
To maintain the equality of the equation, we need to add and subtract 4 within the parentheses.
3. Rewrite the equation by adding and subtracting 4 within the parentheses: x² - 4x + 4 + y = -10 + 4.
Now, we can factor the perfect square trinomial (x - 2)² and simplify the right side of the equation.
4. Factor the perfect square trinomial: (x - 2)² + y = -6.
The equation is now in the form (x - h)² + k = y, where (h, k) represents the vertex of the parabola. Therefore, the vertex of the parabola is (2, -6).
To learn more about parabolas;
https://brainly.com/question/21685473
#SPJ4
The complete question:
Complete the square to find
the vertex of this parabola.
x² - 4x + y + 10 = 0
What are simultaneous equations
Answer:
Simultaneous equations are equations involving two or more unknowns that are to have the same values in each equation.
i want to fined out the digree of polynomial 5 x^4 + 3 x^2 + 1
Answer:
4
Step-by-step explanation:
The degree of a polynomial is the highest degree of a monomial contained within the polynomial. The degree of the monomial is the sum of the exponents on the variables. Example, the degree of -4x^6y is 6+1=7.
Example, the degree of 4x^8 is 8.
So the degree of 5x^4 is 4.
The degree of 3x^2 is 2.
The degree of 1 is 0 since there is no variable in this expression.
So the degree of 5 x^4 + 3 x^2 + 1 is 4.
Solve the following quadratic function
by utilizing the square root method.
y = 25x2 - 100
X = +[?]
Answer
25(x2−4)
Rewrite 4
as 22.25(x2−22)
find the range of the data 52 40 49 48 62 54 44 58 and 39 range is what
Answer:
Hi! The answer to your question is the range is 23
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 62-39=23
VOCAB:
Minumum Data = Smallest Number
Maximum Data = Largest Number
Data Range = The set of y-values that a function passes through, Also the right coordinate in a coordinate pair.
In statistics, the difference between the largest number and the smallest numbers in a data set.
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
what is the area of triangle EDF?
Answer:
4.5
Step-by-step explanation:
∠BAC ~ ∠EDF means that the triangles are similar. So the legs of the triangle share the same proportions, even if the sizes are different.
Since they share the same proportions, the same operations can be performed on each base to find the area.
The answer can be found with the knowledge that the area of a triangle is half of the height * width. You know the width of ∠BAC is 4, and the area is 8, so 16 (the area doubled) / 4 is the height. The width and height of ∠BAC are the same, and since the proportions are also the same, the width and height of ∠EDF are both 3. So the area is the width (3) times the height (3) divided by 2.
3*3 = 9
9/2 = 4.5
So the area is 4.5
In one weekend, 1,200 people attend a play at the theater downtown. A survey of 100 people who attended found that 45 gave the play at least 4 stars out of 5. Use the indicated method to estimate how many people in all would give the play at least 4 stars.
Answer:
540
Step-by-step explanation:
fraction of those surveyed that gave the play at least four stars = 45 / 100 = 0.45
Estimate of people who would rate the play at least four stars = 0.45 x 1200 = 540
I need m<1 and m<2 so if u know pls help
Help!! Thank you so much
Answer:
336 cm²
Step-by-step explanation:
rectangle area:
b×h = 24×7,5=180 cm²
" " = 6,5×24=156 cm²
total area: 180+156=336 cm²
Given two points P(sinθ+2, tanθ-2) and Q(4sin²θ+4sinθcosθ+2acosθ, 3sinθ-2cosθ+a). Find constant "a" and the corresponding value of θ when these two points coincide. (0 ≤ θ < 2π)
Show your work, thanks!
Answer:
[tex] \rm\displaystyle \displaystyle \displaystyle θ= {60}^{ \circ} , {300}^{ \circ} [/tex]
[tex] \rm \displaystyle a = - \frac{ \sqrt{3} }{2} - 1, \frac{\sqrt{3}}{2} - 1[/tex]
Step-by-step explanation:
we are given two coincident points
[tex] \displaystyle P( \sin(θ)+2, \tan(θ)-2) \: \text{and } \\ \displaystyle Q(4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2a \cos(θ), 3 \sin(θ)-2 \cos(θ)+a)[/tex]
since they are coincident points
[tex] \rm \displaystyle P( \sin(θ)+2, \tan(θ)-2) = \displaystyle Q(4 \sin ^{2} (θ)+4 \sin(θ )\cos(θ)+2a \cos(θ), 3 \sin(θ)-2 \cos(θ)+a)[/tex]
By order pair we obtain:
[tex] \begin{cases} \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2a \cos(θ) = \sin( \theta) + 2 \\ \\ \displaystyle 3 \sin( \theta) - 2 \cos( \theta) + a = \tan( \theta) - 2\end{cases}[/tex]
now we end up with a simultaneous equation as we have two variables
to figure out the simultaneous equation we can consider using substitution method
to do so, make a the subject of the equation.therefore from the second equation we acquire:
[tex] \begin{cases} \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sinθ \cos(θ)+2a \cos(θ )= \sin( \theta) + 2 \\ \\ \boxed{\displaystyle a = \tan( \theta) - 2 - 3 \sin( \theta) + 2 \cos( \theta) } \end{cases}[/tex]
now substitute:
[tex] \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2 \cos(θ) \{\tan( \theta) - 2 - 3 \sin( \theta) + 2 \cos( \theta) \}= \sin( \theta) + 2 [/tex]
distribute:
[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ)+4 \sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) - 6 \sin( \theta) \cos( \theta) + 4 \cos ^{2} ( \theta) = \sin( \theta) + 2 [/tex]
collect like terms:
[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ) - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) + 4 \cos ^{2} ( \theta) = \sin( \theta) + 2 [/tex]
rearrange:
[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ) + 4 \cos ^{2} ( \theta) - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) + = \sin( \theta) + 2 [/tex]
by Pythagorean theorem we obtain:
[tex]\rm\displaystyle \displaystyle 4 - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) = \sin( \theta) + 2 [/tex]
cancel 4 from both sides:
[tex]\rm\displaystyle \displaystyle - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) = \sin( \theta) - 2[/tex]
move right hand side expression to left hand side and change its sign:
[tex]\rm\displaystyle \displaystyle - 2\sin(θ) \cos(θ)+\sin(θ ) - 4\cos( \theta) + 2 = 0[/tex]
factor out sin:
[tex]\rm\displaystyle \displaystyle \sin (θ) (- 2 \cos(θ)+1) - 4\cos( \theta) + 2 = 0[/tex]
factor out 2:
[tex]\rm\displaystyle \displaystyle \sin (θ) (- 2 \cos(θ)+1) + 2(- 2\cos( \theta) + 1 ) = 0[/tex]
group:
[tex]\rm\displaystyle \displaystyle ( \sin (θ) + 2)(- 2 \cos(θ)+1) = 0[/tex]
factor out -1:
[tex]\rm\displaystyle \displaystyle - ( \sin (θ) + 2)(2 \cos(θ) - 1) = 0[/tex]
divide both sides by -1:
[tex]\rm\displaystyle \displaystyle ( \sin (θ) + 2)(2 \cos(θ) - 1) = 0[/tex]
by Zero product property we acquire:
[tex] \begin{cases}\rm\displaystyle \displaystyle \sin (θ) + 2 = 0 \\ \displaystyle2 \cos(θ) - 1= 0 \end{cases}[/tex]
cancel 2 from the first equation and add 1 to the second equation since -1≤sinθ≤1 the first equation is false for any value of theta
[tex] \begin{cases}\rm\displaystyle \displaystyle \sin (θ) \neq - 2 \\ \displaystyle2 \cos(θ) = 1\end{cases}[/tex]
divide both sides by 2:
[tex] \rm\displaystyle \displaystyle \displaystyle \cos(θ) = \frac{1}{2}[/tex]
by unit circle we get:
[tex] \rm\displaystyle \displaystyle \displaystyle θ= {60}^{ \circ} , {300}^{ \circ} [/tex]
so when θ is 60° a is:
[tex] \rm \displaystyle a = \tan( {60}^{ \circ} ) - 2 - 3 \sin( {60}^{ \circ} ) + 2 \cos( {60}^{ \circ} ) [/tex]
recall unit circle:
[tex] \rm \displaystyle a = \sqrt{3} - 2 - \frac{ 3\sqrt{3} }{2} + 2 \cdot \frac{1}{2} [/tex]
simplify which yields:
[tex] \rm \displaystyle a = - \frac{ \sqrt{3} }{2} - 1[/tex]
when θ is 300°
[tex] \rm \displaystyle a = \tan( {300}^{ \circ} ) - 2 - 3 \sin( {300}^{ \circ} ) + 2 \cos( {300}^{ \circ} ) [/tex]
remember unit circle:
[tex] \rm \displaystyle a = - \sqrt{3} - 2 + \frac{3\sqrt{ 3} }{2} + 2 \cdot \frac{1}{2} [/tex]
simplify which yields:
[tex] \rm \displaystyle a = \frac{ \sqrt{3} }{2} - 1[/tex]
and we are done!
disclaimer: also refer the attachment I did it first before answering the question
solve for x in the diagram below
Answer:
x=20
Step-by-step explanation:
3x+80+2x=180(being linear pair)
5x=180-80
x=100/5
x=20
3x=3*x =3*20 =60
2x=2*x =2*20 =40
Lydia was doing her homework. She did math for 3/5 of an hour. She did science for 2/3 of an hour, half an hour for art sketches, and 1/10 of an hour for French. and How much time did she spend on her homework? How much time would she have spent if she took 10 minutes break between each subject? Show your work.
Answer:
82 minutes
102 minutes with breaks
Step-by-step explanation:
So there are 60 minutes in an hour. 3/5 of 60 is 36. 2/3 of 60 is 40. And 1/10 of 60 is 6. So adding all those numbers up 36+40+6=82 minutes.
Now if she spent 10 minute breaks in between her assignments then she did 36+10+40+10+6=102 minutes with breaks in between Math and Art also Art and French