Answers
Answer:
275
Step-by-step explanation:
because it is in between 270 and 280
Related Questions
The dimensions of triangle A are three times the dimensions of triangle B. The area of triangle B is 28 cm What is the area of triangle A?
Answers
Answer:
Below in bold.
Step-by-step explanation:
The ratio of theire areas is 1^2 : 3^2
= 1:9.
So the area of triangle A = 28 * 9
= 252 cm^2.
Answer:
[tex]252cm {}^{2} [/tex]
step by step explanation:
[tex]since \: \: dimension \: of \: traiangle \: a \: = 3 times \: dimension \: of \: triangle \: b \\ note \: that \: area \: is \: square \: of \: dimension \: \\ therefore \: area \: of \: triangle \: a \: = 3 {}^{2} \: area \: of \: triale \: \: b \\ area \: of \: trianle \: a = 9 \times 28 = 252cm {}^{2} [/tex]
How large a sample must a pollster take in order to estimate with 95% confidence and to within 3 percentage points, the proportion of voters who are in favor of a certain measure
Answers
========================================================
Work Shown:
[tex]n = \hat{p}*(1-\hat{p})\left(\frac{z}{E}\right)^2\\\\n \approx 0.5*(1-0.5)\left(\frac{1.96}{0.03}\right)^2\\\\n \approx 1067.111\\\\n \approx \boldsymbol{1068}\\\\[/tex]
Notes:
At 95% confidence, the z critical value is roughly z = 1.96 which is determined using a Z table.E = 0.03 to represent the 3% error. We're not told the value of [tex]\hat{p}[/tex], so we assume the most conservative estimate of 0.5Always round up to the nearest integer. The value 1067.111 is closer to 1067, but we round up to 1068 to clear the hurdle needed.If line segment AB is 400%, what is the length of a line segment that is 100%?
Answers
the length of the line would be 1 inch
what is the difference of 21 1/4 - 18 2/4
Answers
Answer: Difference between 21 1/4 - 18 2/4 =2 3/4
Step-by-step explanation:
if A varies direct as a square of R. Find the % increase in A if R is increase by 20%.
Answers
Answer:
20%
Step-by-step explanation:
A=R^2
120/100
=1.2
1.2R= new value of R
original of R=R
A^1/2=R
change/origionalx100%
(1.2A^1/2-A^1/2)
-------------------- x 100%
A^1/2
A^1/2 (1.2-1)
--------------- x100%
A^1/2
0.2
---- x100
1
0.2x100
=20%
Find the surface area of the cube in square feet.
Answers
Answer:
The answer is 2/3 or 0.67 square foot.
Step-by-step explanation:
Given;Length (l) = 1/3 ftTo Find;Surface area of cubeFormula;Area = 6l²Now,
A = 6l²
A = 6 × (1/3)² ft
A = 6 × 1/9 ft
A = 6/9 ft
A = 2/3 square foot
Thus, The surface area of cube is 2/3 or 0.67 square foot.
What is the area of the parallelogram shown? A) 60in B) 120in C) 140in D) 180in. + What is the area of a parallelogram that has a base 5 inches longer and the height 5 inches taller than a parallelogram shown? A) 230in B) 260in C) 290in D) 310in.
Answers
Answer:
B and B
Step-by-step explanation:
A = bh
A = 15 × 8
A = 120 in²
A = bh
A = 20 × 13
A = 260 in²
The area of the parallelogram shown are 120 in² and 260 in².
What is the area of a parallelogram?The area of a parallelogram is the product of the base and the height of the figure.
The area of a parallelogram = Base x Height
We are given that parallelogram that has a base 5 inches longer and the height 5 inches taller than a parallelogram
A = bh
A = 15 × 8
A = 120 in²
Now,
A = bh
A = 20 × 13
A = 260 in²
Learn more about the area;
https://brainly.com/question/1658516
#SPJ2
[tex]\large \rm \sum \limits_{n = 0}^ \infty \frac{( { - 1)}^{1 + 2 + 3 + \dots + n} }{(2n + 1 {)}^{2} }[/tex]
Answers
The sum we want is
[tex]\displaystyle \sum_{n=0}^\infty \frac{(-1)^{T_n}}{(2n+1)^2} = 1 - \frac1{3^2} - \frac1{5^2} + \frac1{7^2} + \cdots[/tex]
where [tex]T_n=\frac{n(n+1)}2[/tex] is the n-th triangular number, with a repeating sign pattern (+, -, -, +). We can rewrite this sum as
[tex]\displaystyle \sum_{k=0}^\infty \left(\frac1{(8k+1)^2} - \frac1{(8k+3)^2} - \frac1{(8k+7)^2} + \frac1{(8k+7)^2}\right)[/tex]
For convenience, I'll use the abbreviations
[tex]S_m = \displaystyle \sum_{k=0}^\infty \frac1{(8k+m)^2}[/tex]
[tex]{S_m}' = \displaystyle \sum_{k=0}^\infty \frac{(-1)^k}{(8k+m)^2}[/tex]
for m ∈ {1, 2, 3, …, 7}, as well as the well-known series
[tex]\displaystyle \sum_{k=1}^\infty \frac{(-1)^k}{k^2} = -\frac{\pi^2}{12}[/tex]
We want to find [tex]S_1-S_3-S_5+S_7[/tex].
Consider the periodic function [tex]f(x) = \left(x-\frac12\right)^2[/tex] on the interval [0, 1], which has the Fourier expansion
[tex]f(x) = \frac1{12} + \frac1{\pi^2} \sum_{n=1}^\infty \frac{\cos(2\pi nx)}{n^2}[/tex]
That is, since f(x) is even,
[tex]f(x) = a_0 + \displaystyle \sum_{n=1}^\infty a_n \cos(2\pi nx)[/tex]
where
[tex]a_0 = \displaystyle \int_0^1 f(x) \, dx = \frac1{12}[/tex]
[tex]a_n = \displaystyle 2 \int_0^1 f(x) \cos(2\pi nx) \, dx = \frac1{n^2\pi^2}[/tex]
(See attached for a plot of f(x) along with its Fourier expansion up to order n = 10.)
Expand the Fourier series to get sums resembling the [tex]S'[/tex]-s :
[tex]\displaystyle f(x) = \frac1{12} + \frac1{\pi^2} \left(\sum_{k=0}^\infty \frac{\cos(2\pi(8k+1) x)}{(8k+1)^2} + \sum_{k=0}^\infty \frac{\cos(2\pi(8k+2) x)}{(8k+2)^2} + \cdots \right. \\ \,\,\,\, \left. + \sum_{k=0}^\infty \frac{\cos(2\pi(8k+7) x)}{(8k+7)^2} + \sum_{k=1}^\infty \frac{\cos(2\pi(8k) x)}{(8k)^2}\right)[/tex]
which reduces to the identity
[tex]\pi^2\left(\left(x-\dfrac12\right)^2-\dfrac{21}{256}\right) = \\\\ \cos(2\pi x) {S_1}' + \cos(4\pi x) {S_2}' + \cos(6\pi x) {S_3}' + \cos(8\pi x) {S_4}' \\\\ \,\,\,\, + \cos(10\pi x) {S_5}' + \cos(12\pi x) {S_6}' + \cos(14\pi x) {S_7}'[/tex]
Evaluating both sides at x for x ∈ {1/8, 3/8, 5/8, 7/8} and solving the system of equations yields the dependent solution
[tex]\begin{cases}{S_4}' = \dfrac{\pi^2}{256} \\\\ {S_1}' - {S_3}' - {S_5}' + {S_7}' = \dfrac{\pi^2}{8\sqrt 2}\end{cases}[/tex]
It turns out that
[tex]{S_1}' - {S_3}' - {S_5}' + {S_7}' = S_1 - S_3 - S_5 + S_7[/tex]
so we're done, and the sum's value is [tex]\boxed{\dfrac{\pi^2}{8\sqrt2}}[/tex].
Beth and Brianne had a yard sale to raise money. They donated 2 of their profits to their 10 school sports teams, 3 to the animal shelter, and 1 to the hospital. Which model can be 10 10 used to find the total fraction of their profits that they donated? Explain your thinking.
Answers
Answer:
Model 1
Step-by-step explanation:
Model 1 correctly displays the amount of money Beth and Brianne donated and raised at the yard sale. 2/10 + 3/10 + 1/10 = 6/10 (this would be the total amount donated.If 6/10 was donate, 4/10 of the total profit still remains. Model 2 does not represent the total profit that the girls have remaining.Find the length of the ramp. ?
35 ft
12 ft
The length of the ramp is_____ ft.
Answers
Answer:
37 Feet
Step-by-step explanation:
We can use Pythagoras Theorem to solve this:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]35^{2} +12^{2} =c^{2}[/tex]
[tex]1225+144=c^{2}[/tex]
[tex]1369=c^{2}[/tex]
[tex]\sqrt{1369} =c[/tex]
37 = c
Answer:
37 ft
Step-by-step explanation:
Use Pythagorean Theorem for right triangles to find the hypotenuse
35^2 + 12^2 = Ramp^2 ramp = 37 ft
AB is a diameter. 48° B A What is the measure of BC? 180° 84 42° 96°
Answers
Answer:
84°
Step-by-step explanation:
The central angle of a circle is twice any inscribed angle subtended by the same arc.
because AB is a diameter, we also know that the triangle angle at C is 90° (all the inscribed triangles with their baseline being a diameter are right-angled).
as always, the sum of all angles in a triangle is 180°.
so, we know the triangle angle at A is
180 - 90 - 48 = 42°.
this is also the inscribed angle of the arc BC.
the central angle for arc BC (that is what is requested here) is then twice that angle : 2×42 = 84°
An angle measure 29•, what is the measure of it compliments
Answers
Answer:
The complement of 29° is the angle that when added to 29° forms a right angle (90° ).
Step-by-step explanation:
Hope this helps you!
Hello, can someone help me with the working out to this problem
Answers
[tex]\text{If}~ \alpha ~\text{and}~ \beta~ \text{are the roots,}\\ \\x^2 -(\alpha + \beta)x +\alpha\beta = 0\\\\\text{For}~ x^2+3x-2=0\\\\\alpha +\beta=-\dfrac ba=-3\\ \\\alpha \beta = \dfrac ca = -2\\\\[/tex]
[tex]\text{So,~} \alpha^3+\beta^3 = (\alpha + \beta)(\alpha^2 + \beta^2 -\alpha \beta)\\ \\~~~~~~~~~~~~~~~~=(\alpha+\beta)\left[(\alpha +\beta)^2 -2\alpha \beta - \alpha \beta\right]\\\\~~~~~~~~~~~~~~~~=(\alpha+\beta)\left[(\alpha +\beta)^2 -3\alpha \beta \right]\\\\~~~~~~~~~~~~~~~~=-3\left[(-3)^2-3(-2)\right]\\\\~~~~~~~~~~~~~~~~=-3(15)\\\\~~~~~~~~~~~~~~~~=-45\\\\\text{And}~~~\alpha^3 \beta^3= (\alpha \beta )^3 = (-2)^3 = -8\\\\[/tex]
[tex]\text{Hence the equation whose roots are}~ \alpha^3 ~\text{and}~ \beta^3~ \text{is:}\\ \\ x^2-(\alpha^3 + \beta^3)x +\alpha^3 \beta^3 =0\\\\\implies x^2 -(-45)x+(-8)=0\\\\\implies x^2 +45x -8=0[/tex]
What is the perimeter of the pentagon below? 3.2 cm?
Answers
Answer:
You didn't attach a picture of the pentagon, but the perimiter can easily be found using one of the following formulae:
Step-by-step explanation:
P = 5s, where s is the length of a side
P = 2r × Sin(180/5), where r is the radius
Find the measure of the following arc.
mJH = ____
Answers
Step-by-step explanation:
the inner angle of 2 crossing segment lines is half of the sum of the 2 arc angles.
55 = (arc angle IG + arc angle JH)/2 = (76 + JH)/2
110 = 76 + JH
arc angle JH = 34°
The required arc angle JH measures 34 degrees.
What is a chord?In geometry, a chord is a line segment that connects two points on the circumference of a circle. The two endpoints of the chord lie on the circle, and the chord divides the circle into two segments - the major segment and the minor segment.
Given the problem, we are given that the inner angle measures 55 degrees. Thus, we can set up an equation using the formula and solve for the unknown value.
The equation is given as follows:
55 = (arc angle IG + arc angle JH)/2
We know that the arc angle IG measures 76 degrees, so we can substitute this value into the equation:
55 = (76 + arc angle JH)/2
Multiplying both sides of the equation by 2 yields:
110 = 76 + arc angle JH
Subtracting 76 from both sides of the equation gives:
arc angle JH = 34°
Therefore, the arc angle JH measures 34 degrees.
Learn more about chords here:
https://brainly.com/question/30009947
#SPJ2
A laptop computer is purchased $1500. After each year , the resale value decreases by 25%. What will the resale value be after 5 years ? Round to the nearest dollar
Answers
After 5 years of being decreased by 25% the resale price will be $355
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest hundredth. (the spinner is 1-9)
The probability of spinning a 4, flipping heads, then spinning a 7 is
Answers
Answer:
1/162
Step-by-step explanation:
first spin 1/9
land heads 50/50
second spin 1/9
so (9 x 2) x 9
= 162
1
Answer:
1/162 or 0.62 % to the nearest hundredth.
Step-by-step explanation:
Prob(spinning a 4) = 1/9
Prob(spinning a 7) = 1/9
Prob(flipping a head) = 1/2
Required Probability = 1/9 * 1/2 * 1/9
1/162.
What is the length for X
Answers
Answer:
x = 5
Step-by-step explanation:
3^2 + 4^2 = x^2
9 + 16 = x^2
25
Now we need to find the square root of 25 :)
The answer is 5
X = 5
Have a great day!!
Please rate and mark brainliest!!
How much would $400 be worth after 6 years if it was invested at 2% interest compounded annually
Answers
r=.02 (rate as a decimal)
n=1 (number of times compounded per year, annually meaning 1)
t=6 (number of years invested)
you must follow orders of operations when you plug these things in your calculator.
1st step) do .02/1 to get 0.2 then add 1 to get 1.02. raise this to (1*6)and you get roughly 1.126, now multiply this by 400 to get answer D 450.46.
450.46497
Step-by-step explanation:Based on the given condition:[tex]We\ know\ that:[/tex]
[tex]\left\{\begin{matrix}P=400\\r=2\%\\n=1\\t=6\\\end{matrix}\right.[/tex]
________________________________________________
Formulate and substitute:[tex]Substitute[/tex] [tex]\left\{\begin{matrix}P=400\\r=2\%\\n=1\\t=6\\\end{matrix}\right.[/tex][tex]into\ formula[/tex]
[tex]F=P*(1+r/n)^n^t\\ F=400\bullet(1+2\bullet\frac{1}{100})^6[/tex]
_________________________________________________
Evaluate[tex]Evaluate\ the\ equation/expression:\\ 450.46497[/tex]
I hope this helps you
:)
9
These lists show the ages of attendees in a yoga class and a dance dass
Yoga: 18, 31, 17, 14, 20, 33, 36
Dance: 20, 47, 23, 38, 26, 42, 30
Select from the drop-down menus to correctly complete each statement about the attendees in the two cases
The median age of the attendees in the yoga class is
the median age of the attendees in the dance
The range of ages of the attendees in the yoga class is
the range of ages of the attendees in the conce
Answers
Answer:
median is 20
Step-by-step explanation:
due to both of them having it in there 1 time
Answer:
The Median Age: Yoga Class (31) Dance Class (30)
The Range: Yoga Class (17-44) Dance Class (20-47)
Step-by-step explanation:
A triangular garden is being
formed by bricks. The three
sides measure 4 feet, 10
feet, and 3 feet in length.
Will these measurements
result in a triangle?
Answers
Answer:
Yes
Step-by-step explanation:
If there are three measurements, then it will result in a triangle.
evaluate the function for x=8 f(x)=x2/16-2x
Answers
Answer:
f = 8
Step-by-step explanation:
f(x) = x2/16 - 2x
f(8) = (8)2/16 - 2(8)
8f = 16/16 - 16
8f/8 = 16/8
f = 8
What equation results from completing the square and then factoring?
x^2 + 4x = 5
A. (x + 2)^2 = 3
B. (x + 2)^2 = 7
C. (x + 2)^2 = 1
D. (x + 2)^2 = 9
Answers
Answer:
(x+2)^2 = 9
Step-by-step explanation:
To complete the square we need to add 4 to both sides of the equation,
Why we add 4 to both sides? Because if we add it to one side only, the equation will turn into an inequation
x^2 + 4x + 4 = 5 + 4
x^2 + 4x + 4 = 9 and the factor of the expression is (x+2)*(x+2) = 9
(x+2)^2 = 9
u( w f +u ) = m + j
solve for u : u=
solve for f :F=
Answers
[tex]\textbf{Solve for u:}\\\\u(wf+v)=m+j\\\\\implies u = \dfrac{m+j}{wf+v}\\\\\textbf{Solve for f:}\\\\u(wf+v) = m+j\\\\\implies uwf+uv = m+j\\\\\implies uwf = m+j-uv\\\\\implies f=\dfrac{m+j-uv}{uw}[/tex]
PLEASE HELP ME WILL GIVE BRAINLIEST
Answers
Answer:
1 3/4, 0
Step-by-step explanation:
You have to go 1 3/4 to the right and 0 up.
Solve the inequality for x and identify the graph of its solution.
3(x + 1) < 6
Choose the answer that gives both the correct solution and the correct graph.
Answers
Answer:
the answer is B
hope the answer may help you
Which is the graph of x2 − y2 = 16?
Answers
Answer:
see attached
Step-by-step explanation:
When the signs of the x^2 and y^2 terms of a relation quadratic in both x and y are different, the relation represents a hyperbola. The graph of the hyperbola is shown in the attachment.
__
If the signs are the same, the relation represents an ellipse. If the coefficients of the squared terms are also the same, then that ellipse is a circle.
What is 4/3 + 2/11? Simplest form but as a fraction
Answers
Answer:
50/33 is the answer that needs to written. Yes this is the simplest form.
Answer:
50/33
Here you go
PLSSS HEELPPP A line passes through (3, -2) and (6, 2).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.
a. y+2= 4/3(x+3); -4x+ 3y= -18
b. y+2= 4/3(x-3); -4x+3y= -18
c. y-2= 4/3(x-3); -4x+3y= 18
d. y-3= 4/3(x+2); -4x+3y= 17
Answers
Answer:
b)
Step-by-step explanation:
Question (a)
[tex]\sf let \ (x_1,y_1)=(3,-2)\\\\\sf let \ (x_2,y_2)=(6,2)[/tex]
[tex]\sf slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-(-2)}{6-3}=\dfrac43[/tex]
Point-slope formula: [tex]\sf y-y_1=m(x-x_1)[/tex]
Substituting m and point (3, -2) into the formula:
[tex]\sf y-(-2)=\dfrac43(x-3)[/tex]
[tex]\sf y+2=\dfrac43(x-3)[/tex]
Question (b)
Rewrite in standard form:
[tex]\sf y+2=\dfrac43x-4[/tex]
[tex]\sf \implies y=\dfrac43x-6[/tex]
[tex]\sf \implies 3y=4x-18[/tex]
[tex]\sf \implies -4x+3y=-18[/tex]
Find the distance between Q and R
Answers
Answer:
Step-by-step explanation: