Answers
We know, in a triangle, the three interior angles always add to 180° and in
an isosceles triangle are two equal angles.
Therefore in ΔEBA
[tex]m\angle AEB=\dfrac{180^o-108^o}{2}=\dfrac{72^o}{2}=36^o.[/tex]
Related Questions
Choose the scientific notation that best represents the standard notation given. 0.000000000143 g
Answers
Moving decimal to the right means, the exponent of 10 will be negative when the number is written in scientific notation.
Since, we have to move the decimal by 10 digits, the exponent of 10 will be -10.
Therefore, the number written in scientific notation will be:
[tex]0.000000000143=1.43*10^{-10} [/tex]
Answer:
B. 1.43 × 10‐¹⁰ g
hope this helps
Please help me I'm so dumb
Answers
r=8cm and h = 3
plug and chug
A= 552.92
is what i calculated
Which expression is equivalent to (2x^5+7x^3)-(5x^2-4x^3)
Answers
Answer:
2x^5+11x^3−5x^2
Step-by-step explanation:
Math Papa
You have 23 coins, including nickels, dimes, and quarters. if you have two more dimes than quarters, and the total value of the coins is $2.50. how many of each kind of coin do you have?
Answers
n + d + q = 23 . . . . . . . there are 23 coins total
0n +d -q = 2 . . . . . . . . .there are 2 more dimes than quarters
5n +10d +25q = 250 . .the total value is $2.50
The collection includes 11 nickels, 7 dimes, and 5 quarters.
_____
I used the matrix function of my calculator to solve these equations. You can find q by subtracting from the last equation five times the sum of the first two equations.
(5n +10d +25q) -5((n +d +q) +(d -q)) = (250) -5(23 +2)
25q = 125 . . . . . . . simplify
q = 5
From the second equation,
d = q +2 = 7
And from the first,
n = 23 -5 -7 = 11
Hi there i hope this will help
n + d + q = 23 . . . . . . . there are 23 coins total
0n +d -q = 2 . . . . . . . . .there are 2 more dimes than quarters
5n +10d +25q = 250 . .the total value is $2.50
The collection includes 11 nickels, 7 dimes, and 5 quarters.
I used the matrix function of my calculator to solve these equations. You can find q by subtracting from the last equation five times the sum of the first two equations.
(5n +10d +25q) -5((n +d +q) +(d -q)) = (250) -5(23 +2)
25q = 125 . . . . . . . simplify
q = 5
From the second equation,
d = q +2 = 7
And from the first,
n = 23 -5 -7 = 11
answer is 11The two square pyramids are similar. Find the total volume of both pyramids if the ratio of their surface areas is . 9/16
Answers
If the ratio of surface area is 9/16, then the ratio of linear dimensions is sqrt(9/16)=3/4, and the ratio of the volumes is (3/4)^3=27/64.
Therefore the total volume = (1+27/64)*volume of the larger pyramid
= (91/64)*volume of the larger pyramid.
Answer:
B.
Step-by-step explanation:
The rectangle shown has a perimeter of 62 cm and the given area. its length is 4 more than twice its width. write and solve a system of equations to find the dimensions of the rectangle.
Answers
taking the length to be 2x+4 and the width to be x,
[tex]62 = 2(2x + 4 + x)[/tex]
hence,
[tex]6x = 54[/tex]
and thus
[tex]x = 9[/tex]
that means the width is 9.
since we established that the length is (2x+4), we can substitute x=9 into the equation. hence,
[tex]2x + 4 = 2(9) + 4 = 22[/tex]
therefore the length is 22
use the area to check your answer!
Final answer:
By setting up a system of equations using the perimeter formula and the relationship between the rectangle's length and width, we determine that the width of the rectangle is 9 cm and the length is 22 cm.
Explanation:
To solve the problem, we must set up a system of equations based on the information provided about the perimeter and the given ratio between the length and width of the rectangle. The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width of the rectangle. According to the problem, the perimeter is 62 cm, and the length l is equal to 4 more than twice the width, which we can write as l = 2w + 4.
Using these two equations, we can create the following system to solve for the dimensions of the rectangle:
2l + 2w = 62 (perimeter equation)l = 2w + 4 (length is 4 more than twice the width)Substitute the second equation into the first to get:
2(2w + 4) + 2w = 624w + 8 + 2w = 626w + 8 = 626w = 54w = 9 cm (width of the rectangle)Now substitute w back into the second equation:
l = 2(9) + 4l = 22 cm (length of the rectangle)Thus, the dimensions of the rectangle are a width of 9 cm and a length of 22 cm.
Simplify . 3 sqrt 10 + 7 sqrt 15 - 6 sqrt 10 -4 sqrt 15
Answers
To simplify the expression, combine terms with the same square root.
Explanation:To simplify the expression 3√10 + 7√15 - 6√10 - 4√15, we can combine terms that have the same square root. In this case, the terms with √10 and √15 can be combined.
3√10 - 6√10 + 7√15 - 4√15
= (3 - 6)√10 + (7 - 4)√15
= -3√10 + 3√15
Therefore, the simplified expression is -3√10 + 3√15.
Learn more about Simplifying radical expressions here:https://brainly.com/question/11624221
#SPJ3
How much more would $1,000 earn in 5 years in an account compounded continuously than an account compounded quarterly if the interest rate on both accounts is $3.7%
Answers
[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$1000\\ r=rate\to 3.7\%\to \frac{3.7}{100}\to &0.037\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\to &4\\ t=years\to &5 \end{cases} \\\\\\ A=1000\left(1+\frac{0.037}{4}\right)^{4\cdot 5}\implies A=1000(1.00925)^{20}\\\\\\ A \approx 1202.195676[/tex]
get the difference of the amounts.
Answer: There is a difference of $ 1.0228.
Explanation: Given, initial amount or principal = $ 1000,
Time= 5 years and given compound rate of interest = $3.7%
Now, Since the amount in compound continuously,
[tex]A= Pe^{rt}[/tex] , where, r is the rate of compound interest, P is the principal amount and t is the time.
Here, P=$ 1000, t=5 years and r= $3.7%,
Thus, amount in compound continuously , [tex]A=1000e^{3.7\times5/100}[/tex]
⇒[tex]A=1000e^{18.5}=1000\times 1.20321844013=1203.21844013[/tex]
Therefore, interest in this compound continuously rate =1203.21844013-1000=203.21844013
now, Since the amount in compound quarterly,
[tex]A=P(1+\frac{r/4}{100} )^{4t}[/tex], where, r is the rate of compound interest, P is the principal amount and t is the time.
Thus, amount in compound quarterly, [tex]A=1000(1+\frac{3.7/4}{100} )^{4\times5}[/tex]
⇒[tex]A=1000(1+\frac{3.7}{400} )^{20}[/tex]
⇒[tex]A=1000(1+\frac{3.7}{400} )^{20}[/tex]
⇒[tex]A= 1202.19567617[/tex]
Therefore, interest in this compound quarterly rate=1202.19567617-1000=202.19567617
So, the difference in these interests=203.21844013-202.19567617=1.02276396 ≈1.0228
Kylie drew a circle with a diameter of 8 cm. Paige drew a circle with a radius of 3 cm. Approximately how much larger is the area of Kylie’s circle than the area of Paige’s circle? Use 3.14 for mc022-1.jpg and round to the nearest whole number.
Answers
Answer: Approximately 21.98cm larger.
Step-by-step explanation: The area of a circle is A = π·r², where r is the radius of the circle.
Kyle's circle has a diameter of 8cm, which means it has a radius of 4cm.
Calculating the area, it is:
A1 = 3.14.4² = 50.24
Paige's circle has a radius of 3cm, so the area will be:
A2 = 3.14·3² = 28.26
To see how much larger:
50.24 - 28.26 = 21.98cm
So Kyle's circle is 21.98 cm larger.
Which term describes a function in which the y-values form a geometric sequence? A. Exponential function B. Linear function C. Linear increase D. Exponential growth
Answers
In a geometric sequence, the ratio of any two consecutive numbers that form the sequence is equal. In other words, they have common ratio.
how to tell if the histogram is is right skewed
Answers
A histogram is right skewed if the tail extends to the right, with most data clustering on the left, and the mode, median, and mean increase in that order. This indicates that the higher values are more spread out.
Explanation:To determine if a histogram is right skewed, observe where the majority of the data points lie and the direction in which the tail extends. A right-skewed histogram, also known as a positively skewed histogram, will have a tail that extends to the right. In other words, the greater values are more spread out, and the bulk of the data clusters to the left, with fewer, higher-value outliers pulling the mean to the right.
The characteristics of a right-skewed distribution often include a mode that is less than the median, which in turn is less than the mean. Therefore, by calculating these three statistics, you can gain insights into the skewness of the data. Graphically, if the left side of the graph appears more compact and the right side looks stretched or 'pulled out', then the data are skewed to the right.
For example, if you have a dataset with the values 6, 7, 7, 7, 7, 8, 8, 8, 9, 10, you'll likely find that the mode is 7, while the median and mean are greater than 7, pointing towards a right-skewed distribution.
What is the length of chord JK?
Answers
So, chord JK = LM
3p + 2 = 7p -2
4p = 4
So, p = 1
Since p = 1 then chord JK = 3p +2
JK = 3*1 + 2
JK = 5
Answer is "C"
A bird seed feeder has the approximate shape of a cone with a diameter of 12 centimeters and a height of 25.5 centimeters. What is the best approximation for the volume of the bird seed feeder? 320.44 cm³ 961.33 cm³ 2883.98 cm³ 3845.31 cm³
Answers
[tex]V= \frac{1}{3} \pi r^{2} h [/tex]
where V = volume of the cone, r = radius of the circular base, and h = height of the cone.
You are told that the height, h = 25.5 cm. You are also told that the diameter is 12 centimeters. Remember that the diameter of a circle is just twice the radius. Divide 12 by 2 to get the radius: r =12/2 = 6 cm.
Since you know h = 25.5 cm and r = 6 cm, plug these values into your equation for volume of a cone and solve for V, volume:
[tex]V= \frac{1}{3} \pi r^{2} h\\ V= \frac{1}{3} \pi (6) ^{2} (25.5)\\ V \approx 961.33[/tex]
------
Answer: B) 961.33 cm³
Answer: Volume of the bird seed feeder = 961.33 cm³
Step-by-step explanation:
Given shape of bird seed feeder of a cone
Diameter =12cm
So Radius =D/2 =12/2
=6cm
Height = 25.5cm
Volume of cone = [tex]\frac{1}{3 }\times \pi r^{2}h[/tex]
Volume = [tex]\frac{1}{3}\times\pi6^{2}\times25.5[/tex]
Volume =[tex]\frac{1}{3}\times \frac{22}{7}\times36\times25.5[/tex]
Volume = [tex]\frac{20196}{21}[/tex]
Volume = 961.33 cm³(approx)
So the volume of bird seed feeder is 961.33 cm³
49a = 245.....................................................
Answers
a= 5
Short answer: 5
Why?
So, we have the equation 49 * a = 245, we have to find what 'a' is to make the equation true. To find this, divide the two known numbers, which are 245 and 49. 245 / 49 ==> 5
Hope this helped you! ♥
What is the value of x?
Enter your answer in the box
Answers
26/18 = 39/x
to solve for x cross multiply: 18 * 39 = 702 and then divide by 26
702 / 26 = 27
x = 27
A recipe for cookies calls for 2⁄3 of a cup of chocolate chips and 4 cups of flour. If you want to make a bigger batch, using 6 cups of flour, how many cups of chocolate chips will you need?
Answers
how many cups of chocolate if using 6 cups of flour
= (6 x 2/3) / 4
= 4/4
=1
answer
1 cup of chocolate if using 6 cups of flour
Mr. Calloway has a rectangular yard that is 120 feet wide and 80 feet deep. To keep his dogs on his property, he needs to build a fence. How much fencing does he need
Answers
To find the amount of fencing needed, we calculate the perimeter of the yard. The formula is 2*(length + width), equating to 2*(120 feet + 80 feet), which equals 400 feet.
Explanation:The area needed to be fenced is the perimeter of the rectangular yard. We can find the perimeter of a rectangle by using the formula: Perimeter = 2*(length + width). In this case, the length of the yard is 120 feet and the width is 80 feet. So, the perimeter of the yard would be: Perimeter = 2*(120 feet + 80 feet) = 2*200 feet = 400 feet. Therefore, Mr. Calloway will need 400 feet of fencing to surround his yard.
Learn more about Perimeter Calculation here:https://brainly.com/question/10644343
#SPJ11
Find the point on the line 4x+4y+5=0 which is closest to the point (−2,−3).
Answers
The point on the line 4x+4y+5=0 which is closest to the point (−2,−3) will be located on the line perpendicular to the given line and will go through the given point
step 1
the slopes of two perpendicular lines
are
m1*m2=-1
given line
4x+4y+5=0------> 4y=-4x-5----> y=-x-1.25
m1=-1
so
m2=1
step 2
find the equation of the line with m2=1 and point (−2,−3)
y-y1=m*(x-x1)-----> y+3=(1)*(x+2)----> y=x+2-3-----> y=x-1
step 3
The point on the line 4x+4y+5=0 which is closest to the point (−2,−3) is the intersection of the line y=-x-1.25 and the line y=x-1
using a graph tool
see the attached figure
the solution is the point (-0.125,-1.125)
An acrobat was launched toward a water tank, with an upward velocity of 48 feet per second. The launch point was 32 feet below the water level in the tank. Use the quadratic equation 0 = -16t2 + 48t – 32 to find how much time, t, it took for her to reach the water level in the tank.
Answers
Suppose that a "word" is any string of seven letters of the lower case english alphabet, with repeated letters allowed. how many "words" begin with r and end with t?
Answers
1* 26 * 26 * 26 * 26 * 26 * 1
So all letters including the r and t can be reused. That means that you have 26^5 possibilities which is 11881376 possible words.
1 * 26 * 26 * 26 * 26 * 26 * 1
A flower vase has 5 white lilies, 4 pink roses, and 6 yellow carnations. One flower is chosen at random and given to a woman. Another flower is then chosen at random and given to a different woman. What is the probability that both flowers are pink roses?
Answers
Pink roses = 4
P(two pink roses) = (4/15)(3/14) = 2/35
Answer: 2/35
A safe has a 4-digit lock code that does not include zero as a digit and no digit is repeated. What is the probability of a lock without all even digits? There to get a lock code with all even digits. There are 3,024 different 4-digit lock codes. There are to get a lock code without all even digits. The probability of a 4-digit lock code without all even digits is
Answers
Answer:
There are 24 ways to get a lock code with all even digits. There are 3,024 different 4-digit lock codes. There are 3000 ways to get a lock code without all even digits. The probability of a 4-digit lock code without all even digits is 3000/3024
Step-by-step explanation:
In short, C, B, C
Got it correct on edge, have a nice day:)
The probability of a 4-digit lock code without all even digits is 0.9934 or 99.34%.
Since zero is not allowed as a digit, there are only 4 even digits available: 2, 4, 6, and 8.
Now, the number of lock codes with all even digits:
For the first digit, there are 4 even digits to choose from (2, 4, 6, 8).
For the second digit, there are 3 even digits left to choose from.
For the third digit, there are 2 even digits left to choose from.
For the fourth digit, there is 1 even digit left to choose from.
So, the total number of lock codes with all even digits
= 4 × 3 × 2 × 1
= 24.
Now, Number of lock codes without all even digits
= Total number of lock codes - Number of lock codes with all even digits
= 3,024 - 24
= 3,000
Now, the probability:
= Number of lock codes without all even digits / Total number of lock codes
= 3,000 / 3,024
= 0.9934
So, the probability is 0.9934 or 99.34%.
Learn more about Probability here:
https://brainly.com/question/32117953
#SPJ3
Please help me with this
Answers
To find slope we can choose 2 points that are on the line.
For example, (180, 10) and (30, 16)
slope = (y2-y1)/(x2-x1)=(16-10)/(30-180)=6/(-150)= - 0.04
y= - 0.04x+17.2
Effects of suckling length (45, 75 and 120
d.and rearing type on cortisol level, carcass and meat quality characteristics in kivircik lambs.
Answers
I'm a little confused on how to solve this, can anybody help?
Solve the following system of equations and show all work.
y = x^2 + 3
y = x + 5
Answers
x^2 - x - 2 = 0
(x - 2)(x + 1) = 0
x = 2 or x = -1
(x - 2)(x + 1) = 0
x = 2 or x = -1
Cathy is purchasing a DVD player and tv at the local electronic store. The DVD player costs $49.36 and the tv cost $705.20. If she plans for them in 12 equal payments, what’s her monthly cost?
Answers
The monthly cost will be $62.88 if Cathy is purchasing a DVD player and tv at the local electronic store. The DVD player costs $49.36 and the tv cost $705.20.
What is debt?It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.
We know the formula for the monthly payment:
[tex]\rm Monthly \ Payment \:=\:\dfrac{\left A\left(i\right)\left(1+i\right)^{n}\right}{\left(1+i\right)^{n}-1}[/tex]
It is given that:
Cathy is purchasing a DVD player and tv at the local electronic store.
The DVD player costs $49.36 and the tv cost $705.20.
If she plans for them in 12 equal payments,
Total cost(combining the cost of the DVD player and TV cost):
= $49.36 + $705.20
= $754.56
Per month payment = $754.56/12
Per month payment = $62.88
Thus, the monthly cost will be $62.88 if Cathy is purchasing a DVD player and tv at the local electronic store. The DVD player costs $49.36 and the tv cost $705.20.
Learn more about the debt here:
brainly.com/question/17286021
#SPJ2
The coefficient of the term 76x2 is:
(2 is the exponent of 76x)
Answers
This student council set a goal of raising at least $500 in a flower sale, it has raised $415. How many more dollars does the student council need to raise to reach its goal
Answers
Best answer gets Brainliest:
The line that is the perpendicular bisector of the segment whose endpoints are R(-1, 6) and S(5, 5)
I have to write the equation of the line in standard form but I can't find out what kind of equation to write for this. Whoever can help me with this will get Brainliest.
Answers
1) We must find the equation of the line RS:
R=(-1;6)S=(5;5)
y-6=(x+1)(5-6)/(5+1)y=-1/6*(x+1)+6
y=-x/6+35/6 Slope=-1/6
The perpendicular has the slope 6.
2) Find M the middle of [RS]M=((5-1)/2;(6+5)/2)=(2:11/2)
3) Equation of the perpendicular bisector:
y-11/2=(x-2)*6y=6x-12+11/2
So y=6x-13/2
And sorry for my poor english
3)
Given that (5,-8) is on the graph of f(x), find the corresponding point for the function f(x+2)
Answers
the transformation
f(x)--------> f(x+2)
that means
A point (x,y) in graph of f(x)------> become a point (x-2, y) in graph of f(x+2)
hence
point (5,-8)-------------> become a point (5-2,-8)-----> (3,-8)
the answer is
the point (3,-8)
Final answer:
The corresponding point for the function f(x+2), given that the point (5,-8) is on the graph of f(x), is (3, -8) due to the horizontal shift of 2 units to the right.
Explanation:
If the point (5,-8) is on the graph of f(x), and we want to find the corresponding point for the function f(x+2), this means that we are dealing with a horizontal shift of the original graph of f(x). The point (5,-8) indicates that when x is 5, the value of f(x) is -8. To find the corresponding point on f(x+2), we need to subtract 2 from the x-coordinate of the original point because the graph of f(x+2) will be shifted 2 units to the right.
Therefore, the corresponding point on the graph of f(x+2) would be (5 - 2, -8), which simplifies to (3, -8).