Answers
Answer : angle 1 = 68 degrees ( opposite angles are equal )
Angle 3 = 180-68 =112 degrees
Angle 2 = 112 ( Opposite angle)
Answer:
1=68 (Vertically opposite angles are equal)
2= 112 (sum of angles on a straight line gives 180°)
3=112 (vertically opposite angles are equal)
Related Questions
Evaluate the expression 4q(q + 3w)^2 when q = 2 and w = 3
Answers
The function P(t) = 4000(1.2) represents
the population of a small island
a. Does the function represent exponential
growth or decay?
b. what is the yearly percentage change in
population?
c. estimate how many people will be living on the island after 5 years.
Answers
Given:
Consider the given function is:
[tex]P(t)=4000(1.2)^t[/tex]
To find:
a. The type of exponential function (growth or decay).
b. Percentage change in population.
c. Population after 5 years.
Solution:
a. The general exponential function is:
[tex]P(t)=P_0(1+r)^t[/tex] ...(i)
Where, [tex]P_0[/tex] is the initial population and r is the rate of change in decimal.
If r<0, then the function represents exponential decay and if r>0, then the function represents exponential growth.
We have,
[tex]P(t)=4000(1.2)^t[/tex]
It can be written as:
[tex]P(t)=4000(1+0.2)^t[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]P_0=4000[/tex]
[tex]r=0.2[/tex]
Since r>0, therefore the given function represents exponential growth.
b. From part (a), we have
[tex]r=0.2[/tex]
So, the rate of change in the population is 0.2. Multiply is by 100 to get the percentage change in population.
[tex]r\%=0.2\times 100[/tex]
[tex]r\%=20\%[/tex]
Therefore, the yearly percentage change in population is 20%.
c. We have,
[tex]P(t)=4000(1.2)^t[/tex]
Substitute [tex]t=5[/tex] in the given function to find the population living on the island after 5 years.
[tex]P(5)=4000(1.2)^5[/tex]
[tex]P(5)=4000(2.48832)[/tex]
[tex]P(5)=9953.28[/tex]
[tex]P(5)\approx 9953[/tex]
Therefore, the estimated population living on the island after 5 years is 9953.
help with the questions below!
Answers
Answer:
b
Step-by-step explanation:
Arrange the functions in ascending order, starting with the function that eventually has the least value and ending with the function that eventually has the greatest value.
3x + 8
4x + 3
x2 + 6
3x
4x
x2
↓
↓
↓
↓
↓
Answers
Answer:
3x < 4x < 3x + 8 < 4x + 3 < x² < x² + 6
Step-by-step explanation:
This is because as x → ∞
3x → 3∞ ,
Also, as x → ∞
4x → 4∞ ,
Also, as x → ∞
3x + 8 → 3∞ + 8,
Also, as x → ∞
4x + 3 → 4∞ + 3 ,
Also, as x → ∞
x² → ∞²,
Also, as x → ∞
x² + 6 → ∞² + 6
and 3∞ < 4∞ < 3∞ + 8 < 4∞ + 3 < ∞² < ∞² + 6
Thus as x → ∞
3x < 4x < 3x + 8 < 4x + 3 < x² < x² + 6 in ascending order
Answer:
i am not 100% sure but i think it is
3x < 3x + 8 < 4^x < 4^x + 3 < x^2 < x^2 + 6
Step-by-step explanation:
I just got this because one of the other answers said replace x with infinite. Their answer would have been wrong because the actual question is supposed to be 4^x and 4^x + 3 which is different than just 4x and 4x + 3. :)
Help is appreciated:)
Answers
Answer:
Step-by-step explanation:
(-1, 3)
y=3
Please help thank you!
Answers
Your math test scores have been: 73, 86, 91,88 Just from these scores, your current grade is 84.5 You just scored a 67 on the last test. What is your new grade?
Answers
Answer:
[tex]81[/tex]
Step-by-step explanation:
The average of a set of [tex]n[/tex] values is equal to the sum of the values in that set divided by [tex]n[/tex].
Therefore, the average of your 5 scores is equal to [tex]\frac{73+86+91+88+67}{5}=\boxed{81}[/tex]. Since evidently your grade is represented by the average of all your scores, your new grade is 81.
A triangle in the coordinate plane has vertices of (2,6).(-4,-4), and (0,-6). The triangle is dilated with a scale factor of 2. What are the new coordinates?
(1,3), (-2,-2), and (0, -3)
(4,12).(-8, -8), and (0, -12)
(0,4),(-6, -6), and (-2,-8)
(4,8).(-2,-2), and (2,-4)
Answers
Answer:
To solve this problem you have to multiply all of the coordinates by 2
So your answers are
(2,6) ---> (4,12)
(-4,-4) ---> (-8,-8)
(0,-6) ---> (0,-12)
Could you please make brainly :)
Hope this helps ;)
Step-by-step explanation:
what is the correct answer
Answers
===================================================
Explanation:
Focusing on triangle ACD, we see that AC = 20 is the hypotenuse and AD = 20/2 = 10 is the short leg. The short leg is half that of the hypotenuse when working with 30-60-90 triangles.
Also, for these types of triangles, the long leg is sqrt(3) times that of the short leg. That makes CD = AD*sqrt(3) = 10*sqrt(3)
The opposite sides are the same length, meaning BC = AD and AB = CD.
-----------
The perimeter of rectangle ABCD is
P = AB+BC+CD+AD
P = 10*sqrt(3) + 10 + 10*sqrt(3) + 10
P = 20 + 20*sqrt(3)
P = 54.6410161513776
P = 54.6 cm is the approximate perimeter
Answer:
54.64 cm
Step-by-step explanation:
The perimeter of a rectangle is the total length of all the sides of the rectangle. Hence, we can find the perimeter by adding all four sides of a rectangle. Perimeter of the given rectangle is a + b + a + b.
Length of CD = 17.32 cm from :
[tex] \sin(60) = \frac{cd}{20} \\ then \: x = 17.32 \: cm[/tex]
now CD = BA
Now we must determine length of AD :
[tex] \sin(30) = \frac{ad}{20} \: then \: ad \: = 10 \: cm[/tex]
Now :
perimeter = 17.32 + 17.32 +10+10 = 54.64 cm
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
Answers
Answer:
The probability of getting two of the same color is 61/121 or about 50.41%.
Step-by-step explanation:
The bag is filled with five blue marbles and six red marbles.
And we want to find the probability of getting two of the same color.
If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.
In other words, we can find the independent probability of each case and add the probabilities together*.
The probability of getting a red marble first is:
[tex]\displaystyle P\left(\text{Red}\right)=\frac{6}{11}[/tex]
Since the marble is replaced, the probability of getting another red is: [tex]\displaystyle P\left(\text{Red, Red}\right)=\frac{6}{11}\cdot \frac{6}{11}=\frac{36}{121}[/tex]
The probability of getting a blue marble first is:
[tex]\displaystyle P\left(\text{Blue}\right)=\frac{5}{11}[/tex]
And the probability of getting another blue is:
[tex]\displaystyle P\left(\text{Blue, Blue}\right)=\frac{5}{11}\cdot \frac{5}{11}=\frac{25}{121}[/tex]
So, the probability of getting two of the same color is:
[tex]\displaystyle P(\text{Same})=\frac{36}{121}+\frac{25}{121}=\frac{61}{121}\approx50.41\%[/tex]
*Note:
We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.
please help with this !!!!
Answers
Answer:
0
Step-by-step explanation:
this is just to confuse us.
"t" is used instead of "x" (probably because the formula has something to do with "time"). but it does not matter.
and 3 different functional definitions have been given based on the value of the argument "t".
we need the functional value for t=2.
is 2 = 8 ? no. therefore the first definition does not apply.
is 2 = 10 ? no. therefore the second definition does not apply either.
is 2 unequal to 8 or 10 ? yes, 2 is 2 and not 8 and not 10.
so, the third definition applies :
f(2) = 2² - 3×2 + 2 = 4 - 6 + 2 = 0
Someone Help if they can ASAP!
Answers
Answer:
The answer is D.
Step-by-step explanation:
Since (4x+20) and 60 are vertically opposite angles. They both are equal. Hope this helped!
NECESITO AYUDA URGENTE...
1- Ordena en forma descendente el siguiente polinomio con respecto a la
variable n. Luego identifica el término independiente:
6n 3 + 7n 4 -2n 2 -5 + 9n 5
2- Completa el polinomio para que cada término tenga el mismo grado
absoluto:
5x 4 y 3 – 3x 6 ___ + 5x 2 4__ + 7___ y 2 + 8y 7 - 6
3- Observa el siguiente polinomio e identifica cuáles son los términos
semejantes:
-8 + 3m 3 n – 4m 2 n + 7mn 2 -11nm 3 + 5 + 6m 2 n
4- Evalúa la veracidad de cada afirmación de la siguiente afirmación:
El grado absoluto de un polinomio no puede ser 1: ___________
5- El grado absoluto de un polinomio se obtiene sumando los grados relativos
de las variables: _________
_
6- El grado absoluto de un binomio puede ser cero: _________
_
7- Si el grado relativo de una variable es tres, entonces, el grado absoluto es
un número mayor que tres: __________
8- Si el grado absoluto de un término es uno. Entonces, el polinomio tiene una
sola variable: ___________
9- Completa el polinomio, luego ordénalo en forma descendente:
15x 4 + 5x 6 + 3x 3 + 2x 2 + 8 + +
10- Cuál es el valor numérico del siguiente polinomio cuando la x = -2 ; y= -3
: 3x 2 y – 5xy 2 + x -3y + 2
Answers
Answer:
Step-by-step explanation:
1- Order in descending order the following polynomial with respect to the
variable n. Then identify the independent term:
[tex]6n^3 + 7n^4 - 2n^2 - 5 + 9n^5[/tex]
The independent term is - 5.
3- Look at the following polynomial and identify what the terms are
similar:
[tex]- 8 + 3m^3 n - 4m^2n + 7mn^2 - 11nm^3 + 6 m^2 n[/tex]
The similar terms are + 3m^3 n and - 11 nm^3 and
- 4 m^2 n and 6 m^2 n
Find the sum. Express your answer in simplest form. 9a^2-5/b^2+2 + -2a^2+4/b^2+2
Answers
Answer:
Step-by-step explanation:
[tex]\frac{9a^{2}-5}{b^{2}+2}+\frac{-2a^{2}+4}{b^{2}+2}=\frac{9a^{2}-5-2a^{2}+4}{b^{2}+2}\\\\=\frac{9a^{2}-2a^{2}-5+2}{b^{2}+2}\\\\=\frac{7a^{2}-3}{b^{2}+2}[/tex]
If I can travel 35 miles on 1 gallon of fuel and my tank holds 8 gallons, how many miles can I travel on a tank of fuel?
Answers
Answer:
can can travel 280 miles
Step-by-step explanation:
Please answer this and get ez 25 points
Answers
Answer:
13. 10%
14. 43/50
Step-by-step explanation:
13. P(1000) = 5/50 × 100% = 10%
14. P(not 100) = (50-7) /50 = 43/50
18.
Which of the following are the coordinates of the vertex of y= x2 - 10x + 2?
A. (–5, 23)
B. (–10, 2)
C. (5, –23)
D. (2, –10)
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
C. (5, –23)
»»————- ★ ————-««
Here’s why:
I have graphed the given equation on a program. The vertex can be described as the 'turning point' of the parabola. When graphed, the parabola shows a vertex at (5, -23).See the graph below.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
17. There are 25 squares in the pattern.
What fraction of the squares have these
numbers of edges free?
a) 1 edge b) 2 edges c) 3 edges
Answers
b) 4/25
c) 2/25
what is the length of side X in the above right triangle
Answers
Answer:
x = 12
Step-by-step explanation:
Leg 1 = 9
Leg 2 = x
Hypotenuse = 15
Using Pythagorean Theorem;
A² + B² = C²
9² + x² = 15²
81 + x² = 225
x² = 225 - 81
x² = 144
x = [tex]\sqrt{144}[/tex]
x = 12
Hope this helps!
Answer:
x ≈ 12
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 9² = 15²
x² + 81 = 225 ( subtract 81 from both sides )
x² = 144 ( take the square root of both sides )
x = [tex]\sqrt{144}[/tex] = 12
15. Identify the slope of the line graphed below? *
Answers
Answer:
[tex]\displaystyle m = 2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a coordinate planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify points from graph
Point (0, -1)
Point (1, 1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{1--1}{1-0}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{2}{1}[/tex][Fraction] Divide: [tex]\displaystyle m = 2[/tex]Answer:
Step-by-step explanation:
Simplify the expression
3(5x+8)
Answers
Answer:
Solution given:
3(5x+8)
distribute
15x+8*3
15x+24 is a required answer.
Answer:
15x + 24
Step-by-step explanation:
Apply the Distributive Property of Multiplication. Multiply each of the two terms inside parentheses by 3:
3(5x + 8) = 15x + 24
What is 2y+5 = 3y+2 ?
Answers
2y + 5 = 3y + 2
=> 5 - 2 = 3y - 2y
= 3 = y
Answer:
y = 3
Step-by-step explanation:
2y + 5 = 3y + 2
2y - 3y + 5 = 3y - 3 y + 2 [ subtract both sides by 3y ]
- y + 5 = 0 + 2 [ 3y - 3y = 0 ]
- y + 5 - 5 = 2 - 5 [ subtract by 5 on both sides ]
- y + 0 = - 3 [ -5 + 5 = 0 ]
- y = - 3
y = 3 [ divide by - 1 on both sides ]
Can anyone please help with this question? Would much appreciate it
Answers
Cos = x/r
Tan = y/x
X = -21
Y = 20
R = 29
That means tan = 20/-21
Tha answer is D
What is the value of x?
Answers
Answer:
Solution given:
sin 47=opposite/hypotenuse
Sin 47=x/18
x=sin47*18
x=13.16ft
Answer:
ammaamakamamMN8181(18736
Step-by-step explanation:
88271(1(1+1+382(2(#!#
Kevin is doing a puzzle. He has completed 89/100 of the puzzle. Which decimal represents how much of the puzzle Kevin has left to do?
Answers
Answer:
100-89/100=11/100
=0.11
The area of a planned garden can be modeled by the equation A= -4w2 + 64w,
where w is the width of the garden in feet. Someone please help
Answers
Answer:
8 feet, 256 ft^2
Step-by-step explanation:
The function of the area can be graphically rapresented with a parabola that opens downwards
in this specific case the vertex is the maximum point of the parabola.
(X) Vertex = -64/-8 = 8 feet
(Y) Vertex = -4(64) + 512 = -256 + 512 = 256 ft^2
Answer:
Maximum Width = 8 feet.
Maximum area = 256 ft^2.
Step-by-step explanation:
Part A.
A = -4w^2 + 64w
Finding the derivative:
dA/dw = -8w + 64 = 0 for maxm/minm, so
-8w = -64
w = 8
The second derivative is -8 so w = 8 gives a maximum.
Part B.
The maximum area = -4(8)^2 + 64*8
= -256 + 512
= 256 ft^2.
What minus 12 equals 12
Answers
Answer:
24-12
Step-by-step explanation:
Please help this is done today at 11:59 PM tonignt
Answers
Answer:
should be 359.18876
Step-by-step explanation:
if you round it to the nearest hundredth it will give you your answer in units
Every tenth customer to Macy's end of the season sale gets a $10
coupon. Every twenty-fifth customer gets a free gift bag. Which customer
will be the first one to get both the $10 off coupon and the gift bag?
Answers
Answer:
50th
Step-by-step explanation:
10 multiply by 5 is 50
And 25 multiply by 2 is 50
50 is the first to appear on both sides
A kite is flying 78 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 41°. Find the length of the string. Round your answer to the
nearest tenth.
PLZ HELP BEEN STUCK FOR A HOUR!!!
Answers
Answer:
Length of kite string = 118.9 feet (Approx.)
Step-by-step explanation:
Given:
Height of kite = 78 feet
Angle of elevation = 41°
Find;
Length of kite string
Computation:
Height of kite = Perpendicular
Length of kite string = Hypotenuse
Using trigonometry function;
Sinθ = Perpendicular / Hypotenuse
Sin 41 = Height of kite / Length of kite string
0.656 = 78 / Length of kite string
Length of kite string = 78 / 0.656
Length of kite string = 118.9 feet (Approx.)