Answer:
I got B
Step-by-step explanation
please help thank you :)
Answer:
∠7 = 85°
Step-by-step explanation:
∠1 = 180 - 115 = 65° Because they are supplementary angles
∠2 = 180 - 65 - 85 = 30° Because the sum of all interior angles in a triangle
equals 180°
∠3 = 90° given
∠6 = 180 - 90 - 30 = 60° Because they are supplementary angles
∠4 = 180 - 155 = 25° Because they are supplementary angles
∠5 = 180 - 25 - 60 = 95° Because the sum of all interior angles in a
triangle equals 180°
∠7 = 180 - 95 = 85° Because they are supplementary angles
If a person is on an 1,800-calorie diet, then how many of their calories will come from fruit?
Answer:
270 calories
Step-by-step explanation:
1. Factorise the expressions.
a
2a2 + 2ad + 2ac - ab - bd - bc
Help pls ! This is trigonometric function
Answer:
Amplitude: 4
Period: π
midline: y = 1
Step-by-step explanation:
r(x) = -4 sin(2x) + 1
r(x) = a sin(bx + c) + d where |a| is the amplitude and |b| for the period
a = -4 |a| = 4 : Amplitude = 4
b = 2 |b| = 2 period of sin(x) = 2π
period of sin(bx + c) = 2π/|b| = 2π/2 = π
range of sin(2x) ... -1 ≤ sin(2x) ≤ 1
range of -4 sin(2x) + 1: -4+1 ≤ -4 sin(2x) + 1 ≤ 4+1
-3 ≤ -4 sin(2x) + 1 ≤ 5
midline: y = (-3 + 5) / 2 = 1 y = 1
Answer:
Part A: The amplitude [tex]\displaystyle r[/tex]is [tex]\displaystyle 4.[/tex]
Part B: The period of [tex]\displaystyle r[/tex]is [tex]\displaystyle \pi.[/tex]
Part C: The equation of the midline of [tex]\displaystyle r[/tex]is [tex]\displaystyle y = 1.[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{r(x) = -4cos\:(2x - \frac{\pi}{2}) + 1} \\ \\ r(x) = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{\pi}{4}} \hookrightarrow \frac{\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]
OR
[tex]\displaystyle r(x) = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]
Keep in mind that although this IS a sine function, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the centre photograph displays the trigonometric graph of [tex]\displaystyle r(x) = -4cos\:2x + 1,[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [centre photograph] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{\pi}{4}} = \frac{\frac{\pi}{2}}{2}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle r(x) = -4cos\:(2x - \frac{\pi}{2}) + 1.[/tex]So, with all that being said, to find the period, again, take a look at the above information next to [tex]\displaystyle Wavelength\:[Period].[/tex]Now, the amplitude is obvious to figure out because it is the A-term. Moreover, the midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 1,[/tex]in which each crest is extended four units beyond the midline, hence, your amplitude. Now, there is one more piese of information you should know -- the sine graph in the photograph farthest to the right is the OPPOCITE of the sine graph in the photograph farthest to the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Solve for g
g - -74 =220
Answer:
g - 74 = 220
g - 74+74 = 220 +74
g = 220 + 74
g = 294
Will someone please help me with this.
Answer:
20
Step-by-step explanation:
1. Find the mean, median, and mode of each set of numbers.
33,000 34,700 35,000 36,500 37,000 34,700
Answer:
mode is 0 shshshshsbsbsbbsnsnsnsjsnsns
Answer:
Mode 34,700
Median 35,750
Mean 35,150
Terrence finished a word search in the time it took Frank. Charlotte finished the word search in the time it took Terrence. Frank finished the word search in 32 minutes. How long did it take Charlotte to finish the word search?
Answer:
Charlotte finished the word search in 16 minutes
Step-by-step explanation:
Terrence finished a word search in 3/4 the time it took frank. charlotte finished the word search in2/3 the time it took terrence. Frank finished the word search in 32 min. how long did it take charlotte to finish the word search
Frank finished the word search in 32 min
Terrence finished a word search in 3/4 the time it took frank
Terrence = 3/4 of 32 min
= 3/4 × 32 minutes
= (3×32)/4
= 96/4
= 24 minutes
Terrence finished a word search in 24 minutes
Charlotte finished the word search in 2/3 the time it took Terrence
Charlotte = 2/3 of 24 minutes
= 2/3 × 24
= (2×24)/3
= 48/3
= 16 minutes
Charlotte finished the word search in 16 minutes
Find the area.
2m
2m
3m
Answer:
5 m²
Step-by-step explanation:
please mark me as brainliest
what is the value of x and y?
Answer:
The right answer is x = 8, y = 40.
Step-by-step explanation:
Since this triangle is isosceles we know that...
∠ACB = ∠ABC
40° = (5x)°
40 = 5x
x = 40 / 5
x = 8
We also know that the sum of all angles inside the triangle is equal to 180°, therefore...
∠BAC = 180° - ∠ACB - ∠ABC
(2y + 20)° = 180° - 40° - 40°
2y + 20 = 100
2y = 100 - 20
2y = 80
y = 80 / 2
y = 40
From this, we know that the right answer is x = 8, y = 40.
TRUE OR FALSE
The associative property for addition is used in adding and subtracting numbers in expanded form.
Choices:
A) The statement is false because it is the commutative property that is used, not the associative.
B) The statement is true.
C) The statement is false because it is the distributive property that is used, not the associative.
D) The statement is false because it is the reflexive property that is used, not the associative.
Answer:
A or B! Im not sure which one but B
Step-by-step explanation:
2
McCoy's parents start a bank
account for him with $200.
His parents agree to pay him $30 a I
week to clean the house and mow
the lawn. Write an equation he could!
use that will show the total amount
saved (y) and the number of weeks
works(w).
Answer:
The ideal equation form to write this in would be "y=mx+b" because it involves a starting amount (which is represented by "b") and a certain constant amount of something ("m") being fed into that starting amount over time ("x" which will be substituted for "w" because the math problem wants us to substitute). Plugging in the number's you get:
y=30w+200
Step-by-step explanation:
y---> total amount saved after plugging in all numbers including time
m--> amount of money/stuff being added to the starting point over time
x---> can represent time, or basically any independent variable that decides how long has the stuff been being fed into the overall number
b---> the starting point (in this case it is 200, in other cases it can be anything, even a negative number)
Have a wonderful day!
Stay safe, stay loved, stay blessed. :)
Find the equation of the line
Use exact numbers
y=*blank*x+*blank*
Val needs to find the area enclosed by the figure. The figure is made by attaching semicircles to each side of a 42m-by-42m square. Val says the area is 1005.48 m^2. Find the area enclosed by the figure. Use 3.14 for pi. What error might Val have made?
Thanks in advance!
I don't have anymore points so please make a good and accurate answer.
Answer:
Area of the enclosed figure = 3148.74 [tex]m^{2}[/tex]
Step-by-step explanation:
Area enclosed by the figure = 2 x area of the semicircle + area of the square
For the semicircle,
radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{42}{2}[/tex]
= 21 m
area of a semicircle = [tex]\frac{1}{2}[/tex] x [tex]\pi r^{2}[/tex]
= [tex]\frac{1}{2}[/tex] x 3.14 x [tex](21)^{2}[/tex]
= 692.37 [tex]m^{2}[/tex]
area of a square = length x length
= 42 x 42
= 1764 [tex]m^{2}[/tex]
Thus,
area enclosed by the figure = 2 x 692.37 + 1764
= 3148.74 [tex]m^{2}[/tex]
The total area enclosed bu the figure is 3148.74 [tex]m^{2}[/tex]
6. Three consecutive integers add up to 51. What are these integers?
Answer: 16,17,18
Step-by-step explanation:
(x)+(x+1)+(x+2) = 51
x+x+x+1+2=51
3x+3=51
3x=51-3
3x=48
x=16
x+1 = 17
x+2= 18
Let, the three consecutive integers be x, x+1 and x+2.
[tex] \star \: \underline{\frak{ \purple{According \: to \: the \: question \orange{,}}}}[/tex]
[tex] \longrightarrow \: \: \pmb{ \sf{x + (x+1) + (x+2) = 51}}[/tex]
[tex] \mapsto \: \: \: \sf{3x + 3 = 51}[/tex]
[tex]\mapsto \: \: \: \sf{3x = 51 – 3}[/tex]
[tex]\mapsto \: \: \: \sf{3x = 48}[/tex]
[tex]\mapsto \: \: \: \sf{x = \frac{48}{3} }[/tex]
[tex]\mapsto \: \: \: \sf{x = 16}[/tex]
•°• the integers are :
x = 16x + 1 = 17x + 2 = 18_____________________________The table represent temperatures for 9 days in February. What is the average temperature?
Answer:sum =378 according to your new questions.
to find average temperature
use formula
average =sum of temperature /no of measuring day
=378/9=42 is your answer
A w=-8
B w=-5
C w=5
D w=8
Answer:
D
Step-by-step explanation:
Plug in every scenario, in see if it equal to each other.
D is the only one that is equal.
pls help :))))))))) uhhhhhhhhh
The answers are 3 and -13
You need to plug 3 and -5 into x
By doing this, you get :
12 - 3^2 and
12 - (-5)^2
those expressions equal
12 - 9
12 - 25
So you get
3
-13
what's the domain function for y=(x+1)(x-9)
Answer:
Step-by-step explanation:
Division by zero is undefined, so the only restriction on the domain, the values of x is that x cannot equal 9. So the domain is all real numbers except 9. Or in interval notation
x=(-oo,9),(9,+oo)
Answer:
All real numbers
Step-by-step explanation:
y = (x+1)(x-9)
y = x² - 8x - 9
There are no asymptotes, restrictions of x, or holes.
PLEASE HELP ;_; IM SO CONFUSED-
Answer:
option d. 6/10
.....................
Answer:
it would have to be 3/5 i think but i actually think option 1 or 4
Step-by-step explanation:
Kanchan bought a two in one set for 2000 rupees and sold it for 1950 rupees find her loss of or gain %
Step-by-step explanation:
As you can see kanchan bought a item for ₹2000 but she sold it for ₹1950 but the rate of the item she sold it for is less than the item she bought....so its 50% loss.....hope this helps..
Translate the following sentence into an equation. The quotient of a number and -2, less 10, is -18. Giving brainliest
Answer:
x/2-10=18
Step-by-step explanation:
An equation is formed of two equal expressions. The given statement The quotient of a number and -2, less 10, is -18 can be written as an equation as (x/-2)-10=-18.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number be represented by x. Therefore, the given statement can be written as,
(x/-2)-10=-18
Hence, the given statement The quotient of a number and -2, less 10, is -18 can be written as an equation as (x/-2)-10=-18.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ2
If 7 books cost $490, what is the cost of one dozen books
Answer:
$840 for a dozen
Step-by-step explanation:
Find out the cost for one book. Then multiply that number by 12 (dozen).
Answer:
840
Step-by-step explanation:
490 ÷ 7 = 70
70 x 12 = 840
A farmer needs to ship 8,120 pumpkins to a grocery store. If each crate can hold 56 pumpkins, how many crates will the farmer need?
Jason's business computers need servicing. The expression 81x + 108 represents a contractor's total charges in dollars for fixing the problem. The expression 103x + 64 represents an electronic store's total charges in dollars for the same work. In both expressions, x is the number of hours it took to complete the job. What is the difference in the total charges for a repair job that takes 45 minutes? Explain.
Answer:
The Jason's company charges more than the contractor's company.
Step-by-step explanation:
There are two expressions given for total charges for two companies as 81 x+108 and 103 x+64.
Here x represents number of hours.
We are asked to find difference in total charges if that takes 45 minutes.
45 minutes = [tex]\frac{3}{4}[/tex] hours.
Plug in this value for x.
81x+108 =[tex]81*\frac{3}{4} +108[/tex]
Simplify it
60.75 +108 =168.75
Now, for 103x+64 =[tex]103 *\frac{3}{4} +64[/tex]
Simplify it,
77.25+64=141.25
If we see the total charge for both companies for 45 minutes, the Jason's business computers charges more than contractor's company.
HELP DUE IN 5 MINS!
x=??
y=??
Answer:
x = 55
y = 45
Step-by-step explanation:
In similar triangles, the ratio between similar sides are the same. So,
AB/ED = BC/EF = AC/DF
Substitute values that they give
6/15 = 18/y = 22/x
Solve 6/15 = 18/y by cross-multiplying
6y = 15*18 = 324
Divide both sides by 6
y= 45
Solve 6/15 = 22/x by cross-multiplying.
6x = 22*15 = 330
Divide both sides by 6.
x = 55
Because there is some dispute between the answers, let's check the ratios.
6/15 = 18/45 = 22/55
0.4 = 0.4 = 0.4
True, x = 55 and y=45
since triangle abc~ def
their sides will be proportional
AB/de=ac/df
6/15=22/x
doing crisscrossed multiplication
6x=22×15
x=22×15/6=55
again
AB/de=BC/EF
6/15=18/y
doing crisscrossed multiplication
6y=15×18
y=15×18/6=15×3=45
Find the solution to the inequality -0.3x-5<6.7
21 divided by x = -7 Can you PLS SOLVE X
Answer:
EASY. x=-3
Step-by-step explanation:
You need to divide 21 by -7. You'll get the same answer as me
Hope this helped!!
Answer:
[tex] \sf \: x = - 3[/tex]
Step-by-step explanation:
Given equation,
[tex] \sf \rightarrow \: \frac{21}{x} = - 7[/tex]
Now the value of x will be,
[tex] \sf \rightarrow \: \frac{21}{x} = - 7 [/tex]
[tex] \sf \rightarrow \: - 7x = 21[/tex]
[tex] \sf \rightarrow \: x = \frac{ \: 21 \: }{ - 7 \: } [/tex]
[tex] \sf \rightarrow \boxed{ \sf x = - 3}[/tex]
Hence, the value of x is -3.
Please show your work!!
Answer:OK ILL HELP
Step-by-step explanation:Combine
1
2
and
x
.
y
=
x
2
−
3
What is the equation of the line that passes through the point (-1, 4) and has a
slope of -5?
Answer:
Step-by-step explanation:
y - 4 = -5(x + 1)
y - 4 = -5x - 5
y = -5x - 1
