9514 1404 393
Explanation:
Stacy can write two equations showing the relationships of the angles:
∠1 +∠2 +∠3 = 180° . . . . . . . sum of angles in a triangle
∠2 +∠4 = 180° . . . . . . . . . . angles of a linear pair are supplementary
__
Subtracting the second equation from the first gives ...
(∠1 +∠2 +∠3) -(∠2 +∠4) = (180°) -(180°)
∠1 +∠3 -∠4 = 0
Adding ∠4 to both sides gives the relationship Stacy is looking for:
∠1 +∠3 = ∠4
_____
Alternative approach
Stacy could subtract ∠2 from both equations to give ...
∠1 +∠3 = 180° -∠2
∠4 = 180° -∠2
Then she could equate the two expressions for 180° -∠2:
∠1 +∠3 = ∠4
What is the equivalent recursive definition for an = 12+ (n - 1)3?
A. a1 = 3, An = An-1 + 12
B. a1 = 12, An = 30n-1
C. a1 = 12, Un = On-1 +3
D. a1 = n, an= 1201-1+3
Answer:
[tex]A_1 = 12[/tex]
[tex]A_n = A_{n-1} + 3[/tex]
Step-by-step explanation:
Given
[tex]A_n =12+(n-1)3[/tex]
Required
Write as recursive
We have:
[tex]A_n =12+(n-1)3[/tex]
Open bracket
[tex]A_n =12+3n-3[/tex]
[tex]A_n =12-3+3n[/tex]
[tex]A_n =9+3n[/tex]
Calculate few terms
[tex]A_1 =9+3*1 = 9 + 3 = 12[/tex]
[tex]A_2 =9+3*2 = 9 + 6 = 15[/tex]
[tex]A_3 =9+3*3 = 9 + 9 = 18[/tex]
The above shows that the rule is to add 3.
So, we have:
[tex]A_1 = 12[/tex]
[tex]A_n = A_{n-1} + 3[/tex]
The sales tax for an item was $6.40 and it cost $320 before tax.
Find the sales tax rate. Write your answer as a percentage.
Answer:
2%
Step-by-step explanation:
Find the sales tax rate by dividing the amount of sales tax by the original cost:
6.40/320
= 0.02
So, the sales tax rate is 2%
Help again pleaseeeee
Mia cut a piece of felt into 3 equal
sections. She used 1 section for an art project. What fraction of the felt did Mia use for the art
project?
(1 Point)
Answer:
[tex] \frac{1}{3} [/tex]
Step-by-step explanation:
Mia used One Third of the felt for her art project. 3/3 would be the whole felt together. Since one part of three sections was used up then this means that 1/3 was used.
1.Ramu deposited Rs. 10,000 in a bank where interest is compounded
half yearly. If the rate of interest is 10% annually. How much amount he
will get after a year?
3
Answer:
Future value, A = $10,500
Step-by-step explanation:
Given the following data;
Principal = Rs. 10,000
Interest rate compounded half yearly = 10% = 10/2 = 5%
Time = 1 year
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{100})^{t}[/tex]
Where;
A is the future value. P is the principal or starting amount. r is annual interest rate. n is the number of times the interest is compounded in a year. t is the number of years for the compound interest.Substituting into the equation, we have;
[tex] A = 10000(1 + \frac{5}{100})^{1}[/tex]
[tex] A = 10000(1 + 0.05)[/tex]
[tex] A = 10000(1.05)[/tex]
Future value, A = $10,500
What is the value of a?
A. 12
B. 15
C. 17.25
D. 21.25
Answer:
the answer is a.12
i think
Answer:
17.25
Step-by-step explanation:
plllzzz im new and i neeed help
find the volume of the following composite object. enter your answer as an integer in the box
Answer:
4082
Step-by-step explanation:
Given
The composite object
Required
The volume
The object is a mix of a cone and a hemisphere
Such that:
Cone
[tex]r = 10cm[/tex] ---- radius (r = 20/2)
[tex]h = 19cm[/tex]
Hemisphere
[tex]r=10cm[/tex]
The volume of the cone is:
[tex]V_1 = \frac{1}{3}\pi r^2h[/tex]
[tex]V_1 = \frac{1}{3}\pi * 10^2 * 19[/tex]
[tex]V_1 = \frac{1900}{3}\pi[/tex]
The volume of the hemisphere is:
[tex]V_2 = \frac{2}{3}\pi r^3[/tex]
[tex]V_2 = \frac{2}{3}\pi 10^3[/tex]
[tex]V_2 = \frac{2000}{3}\pi[/tex]
So, the volume of the object is:
[tex]V = V_1 + V_2[/tex]
[tex]V = \frac{1900}{3}\pi + \frac{2000}{3}\pi[/tex]
[tex]V = \frac{3900}{3}\pi[/tex]
[tex]V = 1300\pi[/tex]
[tex]V = 1300 * 3.14[/tex]
[tex]V = 4082[/tex]
What is the quotient when (-12x9 + 3x7 + 24x6) is divided by 6x?
Need help ASAP NO LINKS
Answer:
9
Step-by-step explanation:
5(n-2)=35
5n-10=35
5n=35+10
5n=45
n=45/5
n=9
Please mark me as brainliest
The measure of _A is 18° greater than the measure of _B. The two angles are complementary. Find the
measure of each angle.
The m_A is
1° m
and m_B is
Answer:
angle A=54 degree
angle B =36 degree
Step-by-step explanation:
let angle B be x
angle A=x+18
since they are complementary angles sum of these two angles will be 90 degree
x+x+18=90
2x=90-18
2x=72
x=72/2
x=36 degree
substitute the value of x to find angle A and angle B
for angle A
x+18
36+18
54 degree
for angle B
angle B =x
=36 degree
What is the greatest prime you must consider to test whether 4295 is prime?
Answer:
5
Step-by-step explanation:
4295/5 = 859
4295 is divisible by the prime number 5
no need to test any higher priime
Find the area
76 sq meters
60 sq meters
30.5 sq meters
65 sq meters
Step-by-step explanation:
2*10+((4+10)x8)/2
=20+14*8/2
=76 sq meters
The graph of g(x) resembles the graph of f(x) = x2, but it has been changed.
Which of these is the equation of g(x)?
Answer:
B. g(x)=x²-3 b is my answer
verify that A(3, 1), B(0, 5), and C(-1, -1) are the vertices of a right triangle.
Now that we know that 2π is about 6.28, π2 is about 9.86, and 58−−√ is between 7 and 8, which choice represents the correct order of these expressions from least to greatest: 58−−√, 2π, π2, 8?
Answer:
use miss r sir hope I helped you
write three ratios equivalent to the given ration 7/2
Answer:
(7*2 / 2*2) = 14/4 = 3.5
(7*3 / 2*3) = 21/6 = 3.5
(7*4 / 2*4) = 28/8 = 3.5
Step-by-step explanation:
just multiply or divide both number by the same quantity and you will maintain the ratio
please helppppppppp me
1. What is the discriminant of the equation 5x2 - 20x + 20 = 0?
Answer:
0
Step-by-step explanation:
D = 20²-4(5)(20) = 400-400 = 0
Multiply each term number below by 5 to form a sequence
Answer:
Multiply the numbers by 5
Step-by-step explanation:
Mark me brainlist?
Find the surface area of the regular pyramid
Answer:
surface are of the pyramid =(1/2×6×5.2)+(3×1/2×6×10) =15.6+90 =105.6 yd²3. (a) Find the elasticity of the demand function p2 + 2p +
4 = 49 at p = 6.
(b) How will a price increase affect total revenue?
Answer:
6^2+12+4=49
36+16=49
52=49
therefore.3
Lisa played two rounds of
miniature golf. Her score was –3 in the
first round and +2 in the second round.
What was Lisa's score after two
rounds?
Answer:
-1 I think so.....
n please rate this
The concentration of a pollutant in a lake is 85 parts per million (ppm) and is increasing at a rate of 4.6% each year. A possible formula for the concentration C as a function of year tis:
(a) C 85 +4.6t
(b) C-85-4.6t .
(c) C-85 +0.046t
(d) C-85 -0.046
(e) C = 85 (0.046)
(f) C-85 (0.954)
(g) C = 85 (1.046)
(h) C-85(1.46)
(i) C85(0.46)
(j) C-4.6 (0.85)
Answer:
[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.
Step-by-step explanation:
Equation for an concentration increasing exponentially:
The concentration after t years, considering that it increases exponentially, is given by the following equation:
[tex]C(t) = C(0)(1 + r)^t[/tex]
In which C(0) is the initial concentration and r is the growth rate, as a decimal.
The concentration of a pollutant in a lake is 85 parts per million (ppm) and is increasing at a rate of 4.6% each year.
This means that [tex]A(0) = 85, r = 0.046[/tex]. Thus
[tex]C(t) = C(0)(1 + r)^t[/tex]
[tex]C(t) = 85(1 + 0.046)^t[/tex]
[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.
A six-character license plate can be any three letters of the alphabet, followed by any three numerical digits. How many different license plates are possible?
Answer:
17,576,000 different license plates are possible.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In this question:
For each letter, there are 26 possible outcomes.
For each digit, 10 possible outcomes.
So
L - L - L - D - D - D
Number of possible outcomes:
26 - 26 - 26 - 10 - 10 - 10
Each character of the license plate is independent, so, by the fundamental counting principle:
26*26*26*10*10*10 = 17,576,000
17,576,000 different license plates are possible.
Favorite Sport Use the table to identify the labels for the segmented bar graph. Favorite Sport Male Female Football 10 2 Relative Frequency 100 90 80 70 60 50 40 30 20 OB OA Soccer 8 9 Basketball 7 6 Label A is 10 Label B is 0 Label C is < С C D E Label D is Sport Label E is < Intro Done
The labels for the segmented bar graph include:
Label A is MaleLabel B Is FemaleLabel C is FootballLabel D Is SoccerLabel E Is BasketballWhat is a bar graph?
A bar graph is a graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent.
Here, the identification of the labels for the segmented bar graph has been depicted based on the information.
Learn more about bar graph on:
https://brainly.com/question/24741444
#SPJ1
[12÷(9-6)]+4×6
please help
The answer is 28 ez.
Answer:
the answer is 28
Step-by-step explanation:
Will mark Brainlest help plsssss
Answer:
45 is answer I guess cuz my teacher taught me just like that
Which of the following triangles have three sides of different length? A. acute B. scalene C.equilateral D. right
Answer:
scalene
hope this helps
have a good day :)
Step-by-step explanation:
The radius of a circle is 9in. Find it’s circumference in terms of
[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Radius of the circle "[tex]r[/tex]" = 9 in.
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The circumference of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:56.52\:in.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]
[tex] = 2 \times 3.14 \times 9 \: in \\ \\ = 56.52 \: in[/tex]
Therefore, the circumference of the circle is 56.52 in.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
HELP ME PLEASEEEEEEEEEEEEEEEEEE
Answer:
y = 3/2x + 15
Step-by-step explanation:
change f(x) to 'y='
interchange 'x' and 'y' then solve for 'y':
y = 2/3x - 10
x = 2/3y - 10
x+10 = 2/3y
multiply each side by 3/2 to get:
y = 3/2x + 15