Answers
9514 1404 393
Answer:
BC = 16 +12√3
Step-by-step explanation:
In the attached, we see that ∆ABE is a 30°-60°-90° triangle with AB the short side and BE the hypotenuse. Then BE = 2·AB = 12√3.
EC is the side opposite AD in parallelogram ADCE, so is the same length, 16.
The length BC is ...
BC = EC +BE
BC = 16 +12√3
Related Questions
find the surface area of a cuboid 7cm by 2cm by 2cm
Answers
Answer:
Step-by-step explanation:
There are 4 sides that will be 7cm×2cm
14cm x 4 = 56cm
2 sides which are 2cm × 2cm = 4cm
4cm × 2 = 8cm
56cm + 8cm =
64cm squared
Solve 10 + 6(–9 – 4x) = 10(x – 12) + 8.
A)
x = –6
B)
x = 2
C)
x = 17
D)
x = –18
Answers
Answer: x = 2
Step-by-step explanation:
first, we remove the parentheses.
10 - 54 - 24x = 10x - 120 + 8
then, we just calculate that out.
-44 - 24x = 10x - 112
next, we move the terms.
-24x - 10x = -112 + 44
then, we collect the like terms and calculate it.
-34x = -68
finally, we divide both sides.
x = 2
Consider the series 7/9+7/27+7/81+7/243
Answers
Answer:
=1 37/243
Step-by-step explanation:
the series is that the numerator is all 7
srry if its wrong i dont rlly understand what its asking
Answer:
= 1.1522....
Step-by-step explanation:
7/9 +7/27 +7/81 + 7/243
189 + 63 + 1,701 + 567
243. 19,683
= 252 + 2,268
243. 19,683
= 4,960,116 + 551,124
4,782,969
= 5,511,240
4,782,969
= 1.15
What is the value of ⅝ ÷ ⅖
Answers
Answer:
25/16
Step-by-step explanation:
Remember, keep-change-flip
Turn this into a multiplication equation
[tex]\frac{5}{8} * \frac{5}{2}[/tex]
Multiply to get 25/16
HELPP PLEASE WILL GIVE BRAILIEST
Answers
Have a great day!
Please help. I need to know the answer. I will give brainliest
Answers
9514 1404 393
Answer:
1 4 8 9Step-by-step explanation:
blank 1
Locate x = 7 and find the y-value where the blue curve crosses.
f(7) = 1
blank 2
Locate x = -9 and find the y-value where the red curve crosses.
g(-9) = 4
blank 3
Locate y = 0 (the x-axis) and find the x-value where the blue curve crosses.
f(8) = 0
blank 4
Locate y = 2 and find the x-value where the red curve intersects.
g(9) = 2
20 points need help math equation
Answers
Answer:
47.3
Step-by-step explanation:
180-90-42.7=47.3
Answer:
47.3
Step-by-step explanation:
this is a right triangle, which means that Angle O is 90°
90 + 42.7 = 132.7
180 - 132.7 = 47.3
A coffee shop sells refill mugs for $7.50 each. Each coffee refill costs $1.75. Last month, Cody spent $42.50 on a mug and refills. Which equation can you use to find how many refills Cody bought. (Let x = the number of refills) How many refills did Cody buy last month? 10, 12, 20, or 25
Answers
Answer:
cannot see equations to select from but I got '7.50 + 1.75x = 42.50'
20 refills
Step-by-step explanation:
7.50 + 1.75x = 42.50
1.75x = 35
x = 35 / 1.75
x = 20
In which of the following situations would it be appropriate to use a Normal distribution to approximate probabilities for a binomial distribution with the given values of n and p?
(a) n = 10, p = 0.5
(b) n = 40, p = 0.88
(c) n = 100, p = 0.2
(d) n = 100, p = 0.99
(e) n = 1000, p = 0.003
Answers
Answer:
(c) n = 100, p = 0.2
Step-by-step explanation:
To approximate to use the normal distribution for a binomial, we need that:
[tex]np \geq 10, n(1-p)\geq 10[/tex]
So, for each option
(a) n = 10, p = 0.5
[tex]np = 10*0.5 = 5 < 10[/tex]
So not appropriate
(b) n = 40, p = 0.88
[tex]np = 40*0.88 = 35.2 > 10[/tex]
[tex]n(1-p) = 40*0.12 = 4.8 < 10[/tex]
So not appropriate.
(c) n = 100, p = 0.2
[tex]np = 100*0.2 = 20 > 10[/tex]
[tex]n(1-p) = 100*0.8 = 80 > 10[/tex]
So appropriate
(d) n = 100, p = 0.99
[tex]np = 100*0.99 = 99 > 10[/tex]
[tex]n(1-p) = 100*0.01 = 1 < 10[/tex]
So not appropriated
(e) n = 1000, p = 0.003
[tex]np = 1000*0.003 = 3 < 10[/tex]
So not appropriate
A Normal distribution to approximate probabilities for a binomial distribution with the given values of n = 100 and p = 0.2.
Given that,
Normal distribution to approximate probabilities for a binomial distribution with the given values of n and p.
We have to determine,
In which of the following situations would it be appropriate to use a normal distribution to approximate probabilities for a binomial distribution with the given values of n and p.
According to the question,
Probabilities for a binomial distribution with the given values of n and p.
(a) n = 10, p = 0.5
(b) n = 40, p = 0.88
(c) n = 100, p = 0.2
(d) n = 100, p = 0.99
(e) n = 1000, p = 0.003
To approximate to use the normal distribution for a binomial is given as,
[tex]np\geq 10 , \ n(1-p)\geq 10[/tex]
When n = 10 and p = 0.5,[tex]= np \geq 10\\\\= 10 \times 0.5 = 5<10[/tex]
The normal distribution is less than 10 so, this not appropriate.
When n = 40 and p = 0.88,[tex]= n.p \geq 10\\\\= (40).(0.88) \geq 10\\\\= 35.2\geq 10\\\\Then,\\=n(1-p) = 40(1-0.88) \geq 10 \\\\= 40\times 0.12 \geq 10 = 4.8\leq 10[/tex]
The normal distribution is less than 10 so, this not appropriate.
When n = 100 and p =0.2,[tex]= n.p \geq 10\\\\= (100).(0.2) \geq 10\\\\= 20\geq 10\\\\Then,\\=n(1-p) = 100(1-0.2) \geq 10 \\\\= 100\times 0.8\geq 10 = 80\geq 10[/tex]
The normal distribution is greater than 10 so, this appropriate.
When n = 100 and p = 0.99,[tex]= n.p \geq 10\\\\= (100).(0.99) \geq 10\\\\= 99\geq 10\\\\Then,\\=n(1-p) = 100(1-0.99) \geq 10 \\\\= 100\times 0.01\geq 10 = 1\leq 10[/tex]
The normal distribution is less than 10 so, this not appropriate.
When n = 1000 and p = 0.003,[tex]= np \geq 10\\\\= 1000 \times 0.003 = 3<10[/tex]
The normal distribution is less than 10 so, this not appropriate.
Hence, A Normal distribution to approximate probabilities for a binomial distribution with the given values of n = 100 and p = 0.2.
To know more about Binomial Distribution click the link given below.
https://brainly.com/question/16776778
At the start of the school year, there were 72 boxes of coloring pencils in the art room, with each box containing 12 packs. During the school term , 58 boxes were used. How many packs of coloring pencils were left?
Answers
Answer:
Take away the 58 boxes from the 72 boxes and you will have 14 boxes left.
Then you have to multiply the 14 boxes left, by the 12 packs of pencils what gives you 168 packs of colouring pencils left.
If 4/3 liters of water are enough to water 2/5 of the plants in the house, how much water is necessary to water all the plants in the house? Write a division equation that could be used to solve this problem help six grade work
Answers
11/12 x 6/11 in simplest form
Answers
-1<9+n<17 and graph the answer after
Answers
Answer:
We get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]
Or we can write as: [tex]\mathbf{-10<n<8}[/tex]
The graph is shown is figure attached below:
Step-by-step explanation:
We need to solve the inequality [tex]-1<9+n<17[/tex] and graph the answer.
Solving the inequality
[tex]-1<9+n<17[/tex]
We know that if a<u<b then we can write a<u and u<b
So, we can write
[tex]-1<9+n \:and\: 9+n<17[/tex]
Solving these equations and finding values of n
[tex]-1<9+n \:and\: 9+n<17\\9+n>-1\:and\:9+n<17\\n>-1-9\:and\:n<17-9\\n>-10\:and\:n<8[/tex]
So, we get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]
We can write it as: -10< n and n<8
Overlapping we get: [tex]\mathbf{-10<n<8}[/tex]
The graph is shown is figure attached below:
Game stop buys a game for $28 and marks the game up 64%. How much will you pay for the game?
Explain it and answer it please.
Answers
you would multiply 28 by the 64% (0.64). when you multiply, you should get $17.92. you take that price and subtract from the initial amount ($28), & you should get the final price which is $10.08 .
If you add Natalie's age and Fred's age, the result is 38. If you add Fred's age to 4 times Natalie's age, the result is 74. Write and solve a system of equations to find how old Fred and Natalie are.
Answers
Answer:
hmmhhhhhhhhbmmmmhhhm
Answer:
Fred is 26 and Natalie is 12
Step-by-step explanation:
X= Fred's age
Y= Natalie's age
x+y=38
x+4y=74
Use the first equation and isolate the variable x to one side.
x+y=38
-y= -y
x=38-y
Now use this equation and subsitute it into the second equation.
(38-y) + 4y = 74
Simplify to find y
38+3y=74
-38 =-38
3y=36
÷3 ÷3
y= 12
Now that we know y, input it into the second equation to find x.
x+12=38
-12 -12
x= 26
Fred is 26 and Natalie is 12
hope this helps :)
If Janet maintains the same driving rate can she drive more than 600 miles in 10 hours?Explain
Answers
a) Work out the value of angle x.
b) Give reasons for your answer.
Answers
Answer:
60 degrees
Step-by-step explanation:
The bottom and top horizontal lines are parallel. This means x and the bottom right angle in the triangle are the same. Because of the lines going through the triangle's sides we know the triangle's lengths are the same, making it an equilateral triangle. In an equilateral all angles are the same size: 60 degrees.
4 times 4 times 4 times 4 times4 times 4. Using exponents, the expression is?
Answers
Answer:
It will have a 4 and then a five on the top right of it.
Step-by-step explanation:
4^5
Answer:
4^{5}
Step-by-step explanation:
Just basically what the other person said.
4 exponent 5
What is the mean absolute deviation
of the following set of data?
4
6
6
2
Pls help.
Answers
Answer:
72
Step-by-step explanation:
4+6+6+2=18
and u added 4 numbers so 18×4=72
A hamburger weighs ⅓ pound, and an order of french fries weighs ¼ pound. How many pounds total will a meal of hamburger and french fries weigh
Answers
Answer:
Hi
Step-by-step explanation:
3
Solve for x.
-2x + 6 + 4x = -12
Answers
-2x+6+4x=-12
combine like terms
2x+6=-12
subtract 6 from both sides
2x+6-6=-12-6
simplify
2x=-18
divide both sides of the equation
2x/2= -18/2
simplify
x=-9
A tool manufacturer has fixed costs of $68.00 a day and variable costs of $1.00 per screwdriver
produced. The company gets $2.50 per screwdriver sold. How many screwdrivers must be produced
daily to break even? Your answer should be a number only.
Answers
Answer:
46
Step-by-step explanation:
To breakeven, the total cost of the company which is the sum of the fixed and variable cost will be equal to the total sales of the company such that the profit/loss is zero.
Let x be the number of screwdriver that must be produced daily to break even
Then
68 + 1 * x = 2.5 * x
68 + x = 2.5x
collect like terms
68 = 2.5x - x
1.5x = 68
Divide both sides by 1.5
x = 68/1.5
= 45.33
This would be approximated to 46 screws
Let
P be a polynomial function, and
P(x) = 23 – dx2 - 4x – 20. If
(2 – 2) is a factor of the polynomial, what is the value of
d?
Answers
Answer:
The value of d = -5
The polynomial function x³ +5 x² - 4x -20 =0
Step-by-step explanation:
Explanation
Given that the equation is third degree polynomial
p(x) = x³ - d x² - 4x -20
Given factors x= 2 and x=-2
Substitute 'x' = 2 in given polynomial
8 -d(2²)-4(2) - 20 =0
⇒ 8 - 4 d - 8 -20=0
⇒ - 4 d-20 = 0
⇒ - 4 d = 20
⇒ d = - 5
The value of d = -5
Verification:-
After substitution d =-5 in given polynomial
x³ - (-5) x² - 4x -20 =0
put x=2
8 +5(4)-8-20 =0
20 =20
The factors are x= 2 and x=-2 of the given polynomial
triangle KLM ~ triangle KQP are similar. Solve for x.
Answers
The value of x is 5.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
ΔKLM ≈ ΔKQP
This means,
KL/KQ = KM/KP
(3x - 1) / 7 = 8/4
Cross multiply.
3x - 1 = 2 x 7
3x - 1 = 14
3x = 14 + 1
Divide both sides with 3.
3x = 15
x = 5
Thus,
x is 5.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ1
SOMEONE PLEASE PLEASE HELP!!!!!
Answers
Answer:
1800
Step-by-step explanation:
The letters from the word MATHEMATICS are placed in a hat. What is the probability of selecting an M and then selecting a T if the letters are selected at random and not replaced?
Answers
Solve for t in terms of u, v, w, and x.
Answers
Answer:
there's no image lol
Step-by-step explanation
Multiplying Vertically:
6. Find the product for both sets of polynomials below by multiplying vertically. (4 points: 2 points for each product)
A)
B)
7. Are the two products the same when you multiply them vertically? (1 point)
Making a Decision:
8. Who was right, Emily or Zach? Are the products the same with the three different methods of multiplication? (1 point)
9. Which of these three methods is your preferred method for multiplying polynomials? Why? (1 point)
Answers
Answer:
6. Find the product for both sets of polynomials below by multiplying vertically. (4 points: 2 points for each product)
A)
4x^4 - 4x^3 - 16x^2 + 16x
B)
4x^4 - 4x^3 - 16x^2 + 16x
7. Are the two products the same when you multiply them vertically? (1 point)
Yes, the two products are the same when you multiply them.
Making a Decision:
8. Who was right, Emily or Zach? Are the products the same with the three different methods of multiplication? (1 point)
Emily was right, the products are the same with all three different methods of multiplication.
9. Which of these three methods is your preferred method for multiplying polynomials? Why? (1 point)
I prefer the table method because it is easier to understand what is going on, know where and what to do, and it is nicely and neatly laid out in front of me.
HELP ME PLS I WILL CRY I HAVE SO MUCH TESTS AND ESSAYS DUE PLS SHOW WORK
Answers
Answer:
180 minutes
Step-by-step explanation:
60x3
Please please help
Find the measure of the missing angle.
63°
Answers
Answer:
27 degrees
Step-by-step explanation:
Answer:
a = 27° ______
Step-by-step explanation:
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