The square ABCD has side length 20 cm,
E is the midpoint of BC,
20 cm
20 cm
Work out the length of AE,
Give your answer correct to one decimal place.
Answers
Answer:
AE=22.4
Step-by-step explanation:
BE is 1/2 of BC
BC is 20 cm All sides of a square are equal
BE = 1/2 BC Property of a midpoint.
BE = 10
Now just use Pythagorus
AB^2 + BE^2 = AE^2
AE^2 = 20^2 + 10^2 Perform the sqrs
AE^2 = 400 + 100 Add the terms
AE^2 = 500 Take the square root of both sides
√AE^2 = √500
AE = 22.36
AE ≈ 22.4
Related Questions
Reindeer are fed 2 cups of corn for every 3 cups of grain. If you have 12 cups of corn, how many cups of grain need to be added?
S cups
1 cup
9 cups
13 cups
Answers
Step-by-step explanation :
2:3 ratio ( for every 2 cups of corn, there is 3 cups of grain )
12 divided by 2 = 6
6 x 3 ( for every 2 cups of corn, there is 3 cups of grain )
= 13
( if you need further explanation let me know )
Math Word Problem Please Help
A community drama centre sells tickets to a play, they sell 216 tickets. Adult tickets cost $10.25 and student tickets cost $8.00. The total ticket sales came to $2117.25. How many student tickets were sold? How many adult tickets were sold?
Answers
Answer: They sold 173 adult tickets and 43 student tickets.
Step-by-step explanation:
Equations:
10.25x + 8y = 2117.25x + y = 216X = adult tickets.Y = student tickets.Solving:
10.25x + 8(216 - x) = 2117.25 (y = 216 - x, substitute in for y)10.25x + 1728 - 8x = 2117.25 (distribute)2.25x = 389.25 (combine like terms)x = 173173 + y = 216 (solve for y)y = 43Use the geometric mean (altitude) theorem. What is the
value of m?
4
2/7
4/10
160
Answers
Answer:
[tex] \red{ \bold{ m = 4 \sqrt{10}}} [/tex]
Step-by-step explanation:
By geometric mean theorem:
[tex]m = \sqrt{8 \times 20} \\ \\ m = \sqrt{160} \\ \\ m = \sqrt{16 \times 10} \\ \\ m = \sqrt{ {4}^{2} \times 10} \\ \\\huge \red{ \bold{ m = 4 \sqrt{10}}} \\ \\ [/tex]
24 apples and 36 oranges in a basket. What percentage of the fruit is oranges
Answers
Answer:
24 %
Step-by-step explanation:
thats easy
I need help with finding slopes from two points thank you
Answers
Answer:
i do believe the answer is 6/7
Can someone help? Pls
Answers
9514 1404 393
Answer:
[tex]y-0=\dfrac{1}{2}(x -(-2))[/tex]
Step-by-step explanation:
The point-slope form of the equation for a line with slope m through point (h, k) is ...
y -k = m(x -h)
For m = 1/2 and (h, k) = (-2, 0), the equation is ...
y - 0 = 1/2(x -(-2))
I need help yo!! I probably know who’s gonna answer l m a o
Answers
Answer:
1
Step-by-step explanation:
12 divided by 4 = 3
3 divided by 3 = 1
1/4
3.
4 m
2 m
2 m
A
2 m
2 m
in.
B
3 m
8 m
I want to know the area and how to do it
Answers
Answer: 32 sq m.
Step-by-step explanation: add 2,4,and 2 for length of bottom rectangle(8) then multiply that by 3 for area- 24. top would be multiplying 4 by 2- 8. Add 2 areas together and get 32.
50 POINTS PLEASE HELP!!!.
Answers
Answer:
Use y=mx+b
Step-by-step explanation:
A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.
To solve the problem, you use the equation y=mx+b
Answer:
[tex]f(x) = - \frac{5}{2} x + 4[/tex]
A 1 : 6
B 1 : 3
C 2:1
D 3:1
Answers
Answer:
B)1:3
plz mark as brainliest
given the function f(x)=5x-3/4,which of the following is correct?
Answers
Answer:
3) [tex]f^{-1}(x)=\frac{4x+3}{5}[/tex]
Assume that Q, R, and S are the angles of a triangle, with opposite sides q, r, and s respectively. Select all of the following that represent the law of cosines. q2 = r2 + s2 – 2rscos(Q) . q2 = r2 + s2 – 2qscos(R) . r2 = q2 + s2 – 2qscos(Q) . r2 = q2 + s2 – 2qscos(R) .s2 = q2 + r2 – 2qrcos(S)
Answers
Answer:
A. q2 = r2 + s2 – 2rscos(Q)
D. r2 = q2 + s2 – 2qscos(R)
E. s2 = q2 + r2 – 2qrcos(S)
Step-by-step explanation:
The following relation represent the law of cosines.
[tex]q^{2}=r^{2}+s^{2} -2rscos(Q) \\\\r^{2}=q^{2}+s^{2} -2qscos(R) \\\\s^{2}=r^{2}+q^{2} -2rqcos(S)[/tex]
Law of cosines:The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.
It is given that, Q, R, and S are the angles of a triangle, with opposite sides q, r, and s respectively.
A diagram is attached below,
From cosines law,
[tex]q^{2}=r^{2}+s^{2} -2rscos(Q) \\\\r^{2}=q^{2}+s^{2} -2qscos(R) \\\\s^{2}=r^{2}+q^{2} -2rqcos(S)[/tex]
Above relation represent law of cosines.
Learn more about the Law of cosines here:
https://brainly.com/question/4372174
Other than itself, which angle is congruent to
(PLEASE HELP ILL REWARD)
Answers
Answer:
The answer is <GBH
Step-by-step explanation:
ITS because its relation is vertically opposite angle
Help plz:)))I’ll mark u Brainliest
A) Yes, by SSS
B) Yes, by SAS
C) Yes, by ASA
D) Yes, by AAS
F) Yes, by HL
G) There is not enough information to say they are congruent.
Answers
Answer:
B) Yes, by SAS
Step-by-step explanation:
AB=FG(given)
AC=EG(given)
ABC=EFG (given
Answer:
Yes. By SAS.
Step-by-step explanation:
both share ll l and than an angle.
so side angle side is only possibility
brainliest appreciated!
I need to get the answer but I’m struggling to understand how to get the gradient
Answers
Answer:
-5
Step-by-step explanation:
gradient or slope of line: m = (y'-y)/(x'-x)
line pass (-2,5) (-1,0) (0,-5)
use any of two points: m = (0-5) / (-1 - -2) = -5/1 = -5
An Olympic diver is competing for a metal. His height in meters above the water can be modeled by the function
f (x)= -4.9x^2+9.8x+14.7f(x)=−4.9x +9.8x+14.7
where is is the time in seconds after he begins the dive.
After how many seconds does he reach the water?
What domain makes sense for this scenario?
Answers
Answer:
-4.9x²+75x=-4.9x+50x+38
75x=50x+38
25x=38
x=1.52
1.52 -4.9(1.52)²+75(1.52)=102.67904≈102.7 meters
Double check: -4.9(1.52)²+50(1.52)+38=102.67904≈102.7. Yes.
102.7 meter.
Step-by-step explanation:
Ming works as a quality assurance analyst at a bottling factory. She wants to use a one-sample z interval to estimate what proportion of 500 ml bottles are underfilled. She wants the margin of error to be no more than 4% at 90% confidence. What is the smallest sample size required to obtain the desired margin of error?
a) 271
b) 423
c) 651
d) 888
Answers
Answer:
Sample size is [tex]n=423[/tex]
Step-by-step explanation:
Given that,
Margin of error [tex]=4[/tex]%
Confidence level [tex]=90[/tex]%
Suppose, sample proportion[tex]=0.5[/tex]
i.e. [tex]\hat{P}=0.5[/tex]
We know that,
Margin of error [tex]=2^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }[/tex]
∴ [tex]1.64\sqrt{\frac{0.5(0.5)}{n} } \leq 4\%[/tex]
[tex]\Rightarrow 1.64\sqrt{\frac{0.25}{n} } \leq 0.04[/tex]
[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq \frac{0.04}{1.64}[/tex]
[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq 0.0243[/tex]
[tex]\Rightarrow \sqrt{n}\geq \frac{0.5}{0.0243}[/tex]
[tex]\Rightarrow \sqrt{n}\geq 20.57[/tex]
squaring on both side,
∴ [tex]n=423.1249[/tex]
Hence, the sample size is,
[tex]n=423[/tex]
Hence, the correct option is [tex](b).[/tex]
Answer:
423
Step-by-step explanation:
How do I solve a hanger diagram?
Answers
Answer:
con un lapizStep-by-step explanation:
por que con un lapiz escribesYou are planning to make monthly deposits of $400 into a retirement account that pays 10 percent interest compounded monthly. if your first deposit will be made one month from now, how large will your retirement account be in 40 years?
Answers
Answer:
Using the future value (FV) formula,
R = .10/12
N = 12*30
P = 400
Your future value would be $904,195.17
Step-by-step explanation:
Jill orders t-shirts on Amazon. Each shirt costs $15.00 including tax. A one-time shipping fee of $3.25 is added to the cost of the order. The total cost of Jill's order is $78.25. How many t-shirts did Jill order
Answers
Answer:
5 shirts
Step-by-step explanation:
78.25- 3.25 = 75
75/ 15 = 5
please answer asap!!!!!
Answers
Answer:
Angle E, Angle G, Angle F
Step-by-step explanation:
There is a theorem (forget the name) that says if the side opposite to is is larger, then its angle measure is larger. So here they are from smallest to largest. Angle E, Angle G, Angle F
Answer:
m<E < m<G < m<F
Step-by-step explanation:
it is a 30,60,90 Triangle E = 30, G = 60 and F = 90
Mariam is going to see a movie and is taking her 3 kids. Each movie ticket costs $12
and there are an assortment of snacks available to purchase for $3 each. How much
total money would Mariam have to pay for her family if she were to buy 6 snacks for
everybody to share? How much would Mariam have to pay if she bought x snacks for
everybody to share?
Answers
Answer:
a) $66
b) $48 + $3x
Step-by-step explanation:
4(12)=48
3(6)=18
48+18=66
---------------
4(12)=48
Each snack is $3, so is the bought x snacks, it would be $3x
She would pay $48 on movie tickets and $18 on snacks which would be a grand total of $66. If she bought x amount of snacks the equation would be 3x+48
Step-by-step explanation:
Write an equation for the line that passes through (−10,3) and whose slope is undefined. Give an answer in standard form.
Answers
Answer:
y=-10x+3
Step-by-step explanation:
The slope is -10
Estimate the quotient 19 4/5 • 4 5/8
Answers
Answer:
-0.1692
Step-by-step explanation:
use your cakculator
All rectangles are _____.
parallelograms
rhombuses
squares
quadrilaterals
Answers
All rectangles are parallelograms
a town spends 43% of its annual budget on education. if the town's budget is one million dollars, how much will be spent on education?
Answers
Answer:
my dad left me
Step-by-step explanation:
my dad left me
Answer:
$430,000
Step-by-step explanation:
1,000,000 * 0.43
The aquarium has a scale model of a great white shark for sale in their gift shop. If the scale of the model is 2 in. : 7 ft, what is the actual length of the shark if the shark is 4in?
Answers
Answer:
14ft
Step-by-step explanation:
Since the scale is 2in : 7ft, so you would do 7x2 which gets you to 14.
(You would do 7x2 because 4 in/2 in = 2in, that's where the 2 comes from, and 7 because 7ft is part of the scale.)
Hope this helps :D
Question 2
What is the quotient of 3/4 divided by 5/4
Answers
Answer:
3/5
Step-by-step explanation:
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Operations With Fractions
Evaluate the expression:
[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}[/tex]
The division of fractions is can be done by multiplying the fraction on the numerator by the reciprocal of the fraction on the denominator:
[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}=\frac{3}{4}\cdot\frac{4}{5}[/tex]
Simplifying:
[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}=\frac{3}{5}[/tex]
Answer: [tex]\frac{3}{5}[/tex]
What is the slope of the line that passes through the points (4, 7) and (5,8)?
Write your answer in simplest form.
Answers
Answer:
1
Step-by-step explanation:
Use the coordinates of the points to determine the slope
slope = Δy/Δx = (8-7)/(5-4) = 1
Units of time belong in the numerator or denomintor
Answers
Answer:
denominator i think.
Step-by-step explanation: