Answer:
100°
Step-by-step explanation:
the total of all angles around O on one side of AD is 180° (as that would represent a half-circle).
and the sum of the arc angles AB + BC + CD covers the whole 180°.
so, we have
180 = 55 + BC + 25
180 = 80 + BC
BC = 100°
find the equation (in the terms of x) of the line through the points (-2,-5) and (5,0)
Answer:
-5x+7y+25=0
Step-by-step explanation:
vecto AB= (7;5)
vecto n = (-5;7)
line through the points (-2;5) and (5;0) :
-5*(x+2)+7*(y+5)=0
-5x+7y+25=0
In a simple economy (assume there are no taxes, thus, Y is disposable income), the consumption function is:
C = 200+ 0.80Y
00
The current level of real GDP is $4000.
At this level of real GDP, consumption will be $, and savings will be $1. If GDP were to increase by $1000, consumption would increase by $(Round your
responses to the nearest dollar.)
Using linear function concepts, it is found that consumption would increase by $800.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, the function is given by:
C = 200 + 0.8Y.
Which means that the slope is of m = 0.8 per unit of Y.
For 1000 units:
0.8 x 1000 = 800.
Consumption would increase by $800.
More can be learned about linear function concepts at https://brainly.com/question/24808124
Luka and Gabby rent a tandem bike for $25/hr.Which value is the dependent variable? Which is the independent variable? Write an equation to represent the relationship between the number of hours, h, and the total cost of c.
c = 25(h)
dependent variable : They must give $25 per hour.
independent variable: time is independent as no specific time given.
total cost = $25 * hours taken
c = 25 * h
c = 25(h)
Answer:
See below ↓
Step-by-step explanation:
Given
rate of renting a tandem bike = $25/hh = number of hoursc = total costSolving
Clearly, as the number of hours does not depend on another variable, h is the independent variableTherefore, c is the dependent variableThe equation is :⇒ c = 25hAt his son's birth, a man invested $2,000 in savings at 6% for his son's college education.
Approximately how much, to the nearest dollar, will be available in 19 years? (Do not use comma placeholder in response.)
Rounded to the nearest year, approximately how long will it take for the man’s investment to double?
now, this is assuming the 6% is at simple interest rate.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &19 \end{cases} \\\\\\ A=2000[1+(0.06)(19)]\implies A=2000(1.54)\implies A=3080 \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$4000\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years \end{cases} \\\\\\ 4000=2000[1+(0.06)(t)]\implies \cfrac{4000}{2000}=1.06t \\\\\\ 2=1.06t\implies \cfrac{2}{1.06}=t\implies 1.89\approx t\implies \stackrel{\textit{rounded up}}{2\approx t}[/tex]
Answer:
value in 19 years: $6051
years to double: 12
Find the measure of x
Answer:
x=23
Step-by-step explanation:
An inscribed angle is half of the intercepted arc.
No Calculator Let gbe a twice-differentiable function. The function g and its derivatives have the properties indicated in the table above. 0 0
Hi there!
Part D:
We can use the Taylor Polynomial expansion for a second-degree polynomial:
[tex]P_3(x) = g(c) + \frac{g'(c)}{1!}(x - c) + \frac{g''(c)}{2!}(x - c)^2[/tex]
Where c is the value that the polynomial is centered about.
We are given that:
[tex]g(c) = 1\\\\g'(c) = 0\\\\g''(x) = 2[/tex]
Therefore:
[tex]P_3(x) = 1 + \frac{0}{1}(x - 2) + \frac{2}{2!}(x - 2)^2\\\\\boxed{P_3(x) = 1 + (x - 2)^2}[/tex]
Sandra makes and sells bracelets. It costs her $2 to make each bracelet, plus a one-time cost of $15 for supplies. She plans to sell each bracelet for $5. Let x represent the number of bracelets. Which equation can be used to find the number of bracelets she needs to sell to break even?
2 x minus 5 x = 15
2 x + 5 x = 15
2 x + 15 = 5 x
5 x + 15 = 2 x
Help help help help help
Answer:
x = 12
Step-by-step explanation:
Becuase 6/12 = 2 and 9 + 2 = 11
12
What is the slope-intercept equation for this line?
y = [?]x+ [ ]
Answer:
y = -2x - 2
Step-by-step explanation:
Please answer this relatively quickly, I'm not in very much of a rush but would like to get this done.
Answer:
x=23
Step-by-step explanation:
2x-6/4 = 10
2x-6 = 10(4)
2x-6 = 40
2x = 40+6
2x = 46
x = 46/2
x = 23
Simplify expression:
2(4x + 3) - 3(x + 1)
Answer:
5x+3
Step-by-step explanation:
[tex]\left[Thank\;you\;for\;Joining\;Brainly!][/tex]
Answer:
5x + 3
Step-by-step explanation:
[tex]2\left(4x+3\right)-3\left(x+1\right)[/tex]
[tex]\mathrm{Expand\;2(4x+3)}:8x+6[/tex]
[tex]=8x+6-3\left(x+1\right)[/tex]
[tex]\mathrm{Expand\;-3(x+1)}:-3x-3[/tex]
[tex]=8x+6-3x-3[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=8x-3x+6-3[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:6-3=3[/tex]
[tex]=8x-3x+3[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:8x-3x=5x[/tex]
[tex]=5x+3[/tex]
Hence, your answer is 5x + 3
[RevyBreeze]
Evaluate the expression (3-2i)(3-2i) and write the result in the form a+bi ,where a is the real part of your answer and bis the coefficient in front of the imaginary part
Answer:
a = 5, b = -12
Step-by-step explanation:
By basic factoring, you get 9 - 12i + [tex]4i^2[/tex]. Since [tex]i^2[/tex] is simply -1, the expression evaluates to 9 - 12i - 4, which is 5 - 12i.
Create the equation of a circle that has a center at (1,3) and a radius of 4 units.
The equation of the circle centered at (1, 3) with a radius of 4 units is:
(x - 1)^2 + (y - 3)^2 = 16
How to write the equation of a circle?For a circle with the center on the point (a, b) and radius R, the equation is:
(x- a)^2 + (y - b)^2 = R^2
In this case, the center is (1, 3) and the radius is R = 4, so the equation will be, so we just replace these in the general equation that we have above.
(x - 1)^2 + (y - 3)^2 = 4^2
(x - 1)^2 + (y - 3)^2 = 16
If you want to learn more about circles, you can read:
https://brainly.com/question/14283575
Answer quickly please !!
Answer: 65 degrees
Using the property of vertical angles, the measurement of angle x is going to be 65 degrees.
Single angle x is directly opposite of the 65° angle given, we can figure out what angle x will be as they will be congruent.
By using the Vertical Angle Theorem, we can say
--> x = 65
Definition of Vertical Angle Theorem: states that the opposite (vertical) angles of two intersecting lines are congruent.
Factor completely 4a^2-b^2-2a+b GUYS HELP THERE ARENT ANY CORRECT ANSWERS ON BRAINLY URGENT
Answer:
(2a-b)(2a+b-1)
Step-by-step explanation:
Use the drop-down menus to label the points on the number line.
Point A is at
.
Point B is at
.
Point C is at
.
Point D is at
.
Answer: B,D,C,A
Step-by-step explanation:
I hope that helps
Please mark me the brainiest !
A scale model of a ramp is a right triangular prism as given in this figure. In the actual ramp, the triangular base has a height of 0.5 yards.
What is the surface area of the actual ramp, including the underside?
Enter your answer as a decimal in the box.
yd²
Right triangular prism. Each base is a triangle whose legs are 13 in, 13 in, and 24 in. The height of the triangles is 5 in. The prism is oriented so that the side labeled 24 in is on the bottom. The distance between the bases is labeled 12 in.
Answer:
The answer is 7.2
The surface area of the actual ramp, including the underside is 16.8 ft²
H1 = 1.2 feet (height of the actual ramp)
and, H2 = 6 cm (height of the model)
The scale factor (k) is:
k = 1.2 feet / 6 cm
k = 0.2 ft/cm
The actual measurements would be:
16cm = 16 cm x 0.2 ft/cm = 3.2 ft
and, 9 cm = 9 cm x 0.2 ft/cm = 1.8 ft,
and, 10 cm = 10 cm x 0.2 ft/cm = 2 ft,
So, the surface area is
Area = 2(0.5 x 3.2 ft x 1.2 ft) + 2(2 ft x 1.8 ft) + (1.8 ft x 3.2 ft)
Area = 16.8 ft²
Hence, the surface area of the actual ramp is 16.8 ft²
Learn more about surface areas here:
brainly.com/question/27024066
#SPJ2
Find the length of AB.
Answer:
6.286
Step-by-step explanation:
♢C=⊙/360x 22/7x D
=45/360x22/7x16
=6.286
50 points
Maya puts groceries into bags. The terms and their weights in kilograms are given below.
Bread 0.27
Bananas 49/100
Cheese 75/100
Carrots 0.49
Grapes 27/100
Eggs 0.75
Plot the weight in kilograms of each item on the number line below
⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
Answer:
see attached
Step-by-step explanation:
The values are plotted on the number line attached.
__
Each value is represented on the list both as a fraction and as a decimal. Equal values map to the same point on the number line.
0.27 = 27/100
0.49 = 49/100
0.75 = 75/100
The location on the number line is found by effectively dividing the distance between 0 and 1 into 100 parts, then locating the point on the corresponding division. The attached number line shows the interval divided into 50 parts, so the given values will lie halfway between the grid marks on this number line.
the process of splitting a numbers into equal parts or groups
Answer:
Division
Step-by-step explanation:
Dictionary Definition:
the action of separating something into parts or the process of being separated.
Hope that helps
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
65 degrees
Step-by-step explanation:
The angles will sum up to 360, just do 360 - all known angles
360 - 90 - 128 - 77 = 65
Answer:
Step-by-step explanation:
Sum of all angles is 360 degrees
Let the measure of angle M equal x.
x+90+77+128=360
x=65
Measure of angle M is 65 degrees
The cost of 3 scarves is $71.25. What is the unit price?
The unit price is $
per scarf.
Answer:
unit price= $23.75
Step-by-step explanation:
$71.25/ 3
unit price means the price of 1
I need help solving this pls
Answer:
x = 44.5 due to the Triangle Angle Sum Theorem
Step-by-step explanation:
This is the Triangular Angle Sum Theorem.
This rule states that every angle inside the triangle has to equal 180.
This is a solve for x situation
2x + x + x + 2 = 180
Add all the x's first
3x + x + 2 = 180
4x + 2 = 180
Now subtract 2 both sides
4x = 180 -2
4x = 178
Divide 178 by 4
x = 44.5
You could verify by plugging 44.5 into the x's
2(44.5) + 44.5 + 44.5 + 2 = 180
89 + 44.5 + 46.5 = 180
Answer:
x = 44.5
Step-by-step explanation:
2x + x + (x+2) = 180
4x + 2 = 180
4x = 178
x = 44.5
Just saw your last comment :)
Let me know if you have any questions!
what is 1/4 - 41 1/4 + 3
Answer:
-38
Step-by-step explanation:
i hope this helps you
good luck on your quiz or lesson!
Answer:
-38
Step-by-step explanation:
[tex]\frac{1}{4} = 0.25[/tex]
[tex]\frac{1}{4} -41\frac{1}{4} +3[/tex]
[tex]0.25-41.25+3[/tex]
[tex]-41+3[/tex]
[tex]-38[/tex]
the ratio between two no is 2:3 . if the consequent is 24 the antecendent is
antecedent : 16
ratio: 2 : 3
=========
antecedent : 2
consequent : 3
=============
[tex]\rightarrow \sf \dfrac{2}{3}=\dfrac{x}{24}[/tex] [ x is antecedent ]
[tex]\rightarrow \sf 2(24)=3(x)[/tex]
[tex]\rightarrow \sf 48=3(x)[/tex]
[tex]\rightarrow \sf x= 16[/tex]
Additional information:
In the ratio, a : b Here the "antecedent is a" and "consequent is b"
Learn more: brainly.com/question/23948357Mt. Everest, the tallest mountain in the world, is 29,029 ft tall. K2, the world’s second tallest mountain is 28,251 ft tall. How much taller is Mt. Everest than K2?
Answer:
778ft
Step-by-step explanation:
Type the correct answer in each box, Spell all the words correctly, and use numerals instead of words for numbers. If necessary, use / for the
fraction bar(s).
y +10
А
18
6
B
X
+
- 10
-8
-6
-4
-2
2
4
6
8
10
-2
B
-4
C
-8
-10
units)
and a
across the
-axis
We can show that ABC is congruent to AABC by a translation of
Step-by-step explanation:
We can Show that ∆ABC is congruent to∆A'B'C' by a translation of 1 units(s) to the left and a reflection across the X -axis.
We can show that ΔABC is congruent to ΔA'B'C' by a translation of 2 units to the left and reflection across the x-axis.
What is a reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.
Given that the two triangles ABC and A'B'C'.
The points are A(8, 8), B(10, 4) and C(2, 6).
And A'(6, -8), B'(8, -4), and C'(0, -6).
The translation rule 2 units to the left and reflection across the x-axis.
We can show that ΔABC is congruent to ΔA'B'C' by a translation of 2 units to the left and reflection across the x-axis.
Therefore, the required translation rule is given above.
To learn more about the reflection;
https://brainly.com/question/11232423
#SPJ7
Help picture below problem 14
Answer:
c is the answer
DO MARK BRAINLIEST
What is the slope-intercept equation for this line?
y = [?]x +[?]
Answer:
y = -3x + 1
Step-by-step explanation:
as we can see the y intercept is 1 because on the y- axis (0,1)
for slope it is 3 because rise over run. We rise 3 and run 1 = 3/1 = 3
the slope is negative because of the line
Hope this helps!!
Answer:
y=-3x+1
Step-by-step explanation:
Six times a number increased by 4 is no less than 50.
Which inequality represents this statement?
1: 6x+4≤50
2: 6x+4<50
3: 6x+4≥50
4: 6x+4>50
Answer:
3.
Step-by-step explanation:
For this question, you just have to pick apart what "no less than" means. If I say I can have no less than 2 apples to eat, that's me saying that that's the minimum number I can have, but 2 apples is also still fine. In this case, that minimum is 50 but we can still have over 50. So, 6x+4 can be greater than or equal to 50.