In this diagram, lines AC and DE are parallel and line DC is perpendicular to each of them. What is a reasonable estimate for the length of side DE
Answers
The reasonable estimate for the length of side DE is 3 units
Find the diagram of the question attached. The given triangle ABC and BDE are similar triangles.
Using the similarity theorem of a triangle, this is expressed as:
AC = DE
Using the pythagoras theorem to get the length of AC:
AB^2 = AC^2 + BC^2
5^2 + AC^2 + 4^2
AC^2 = 25 - 16
AC^2 = 9
AC= 3
Since AC = DE, hence the reasonable estimate for the length of side DE is 3 units
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Answer:
5/3
Step-by-step explanation:
Related Questions
Please fast as possible.
Answers
2 sin A = √3
=》sin A = √3/2
■ If sin A = √3/2, then A = 60° (trigonometric value)
So,
cot A = cot 60° = 1/√3
1 - cot²A / 2 cot A
= 1 - (1/√3)² / 2*(1/√3)
= 1 - (1/3) / 2/√3
= 2/3 / 2/√3
= 2/3 / 2√3/3
Cancel out the 3 in the denominator.
= 2/2√3
= 1/√3
1 - cot²A / 2 cot A = 1/√3
_____
● See the attachment for the trigonometric values.
Hope it helps ⚜
Answer:
√3/3Step-by-step explanation:
2 sinA = √3 ⇒ sinA = √3/2Rewrite as:
(1 - cot²A)/2cotA = (1 - cos²A/sin²A)/(2cosA/sinA) = sinA[(sin²A - cos²A)/sin²A] / (2cosA) =(2sin²A - 1)/(2sinAcosA) = (2sin²A - 1)/[2sinA√(1 - sin²A)]Substitute the value of sinA:
(2(√3/2)² - 1) / [√3 √{1 - (√3/2)²)] =(3/2 - 1)/[√3√(1/4)] =(1/2) /(√3/2) = 1/√3 = √3/3Select True or False to correctly classify each inequality.
Inequality True or False ( will give brainliest)
−2≤−2 true or false
6.1<6.1 true or false
5.6≥5.6 true or false
5.6≥5.6 true or false
−4>4 true or false
Answers
Answer:
−2≤−2 True
6.1<6.1 False
5.6≥5.6 True
5.6≥5.6 True
−4>4 False
Step-by-step explanation:
Hence, all the statements are true except option (4).
What is the inequality?
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Here given that,
[tex]-2\leq -2[/tex] is true, because [tex]-2[/tex] is equals to each other.
[tex]6.1 < 6.1[/tex] is true, because [tex]6.1[/tex] is equals to each other.
[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.
[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.
[tex]-4 > 4[/tex] is false, because [tex]-4[/tex] is not greater than [tex]4[/tex].
Hence, all the statements are true except option (4).
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In this task, you will use the linear data from Task 1 to compare the linear functions.
Answers
Answer: Part A. Olivia- y=x+4 Camille- idr.k but it increases by 1/2 ever time
Part B. The slope represents the rate of change and the y-intercept indicates the value of y when x is 0.
Part C. Olivia's puppy weighed the most. It weighed 5 pounds.
Part D. Camille's puppy only gained 1/2 a pound each week.
Step-by-step explanation:
Solve 2x2 + 20x + 8 = 0 by completing the square.
a. x = –5 + √17, x = –5 √–17
b. x = –5 + √21, x = –5 –√21
c. x = 5 + √21, x = 5 –√21
d. x = 5 + √17, x = 5 –√17
Answers
Answer:
Answer B:
Step-by-step explanation:
just took the test)))):
the answer: B
ok done. Thank to me :>
Rewrite this equation below into standard form
y=−3−7x
Answers
Would be your answer
Ms. Green and Mr. White took their science classes to the museum. Ms. Green spent $262 to
buy 28 student tickets and 4 adult tickets for her class. Mr. White spent $191 for 22 student
tickets and 2 adult tickets for his class.
Answers
The price of student's ticket will be $7.5 while on the other hand, the price of adult's ticket will be $13.
Based on the information given, the equations to solve the question will be:
28s + 4a = 262 ....... i
22s + 2a = 191 ....... ii
Multiply equation i by 2
Multiply equation ii by 4
56s + 8a = 524
88s + 8a = 764
Subtract the equations above
32s = 240
s = 240/32 = 7.5
Student's tickets = $7.5
Adult's ticket will be:
22s + 2a = 191 .
22(7.5) + 2a = 191
165 + 2a = 191
2a = 191 - 165
2a = 26
a = 26/2 = 13
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Which is NOT a line of symmetry?
1
2
3
4
5
Answers
Answer:
Line 3 is the only one that is not a line of symmetry.
Ricardo is creating a budget for himself to set goals on how much money he wants to save. At his current job, he makes $300 per week, and spends $40 each week on his expenses. If he wants to save a total of at least $2,600, how many weeks at minimum does he have to work for in order to reach his goal?
Answers
Answer:
10 Weeks
Step-by-step explanation:
If he makes $300 every week minus $40 for his expenses and needs $1200. 300-40=260..... 260x10=1200 So he would have to work 10 weeks at a minimum.
The number of weeks at minimum does he have to work for in order to reach his goal is 10 weeks.
What is unitary method?The unitary method is used to find the value of a single unit from a given multiple.
For example, the price of 40 pens is Rs. 400
It should be noted that the concept of ratio and proportion is used for problems related to this method.
According to questions,
He makes $300 per week
and spends $40 each week on his expenses.
Therefore his total savings per week = $300 - $40
= $260.
Also he wants to save a total of at least $2,600.
Thus number of weeks at minimum does he have to work for in order to reach his goal = $2600 ÷ $260
= 10 weeks.
Hence the required number of weeks = 10 weeks.
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Find the surface area of the prism.
6.5 ft.
6 ft
8 ft.
5 ft
The surface area is
square feet.
Answers
Answer:
the BIG B (big base) is 2(5*6)*½ which is 30.
the bottom is 8*5 which is 40.
the sides are 8*6.5 which is 52 TIMES TWO becuase there is another WHICH IS 104.
30+40+104=174 SQUARE FEET
Which of the following rational functions is graphed below?
Answers
Considering the asymptotes, the rational function given below is the following:
B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.From the graph, the vertical asymptotes are x = 0 and x = -2, hence the denominator is given by:
x(x + 2).
The function has no x-intercepts, hence the numerator is of 1. So the function is given by:
B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]
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3(4 x 6)= (3 x 4) 6 is an example of the __________ property. A.commutative B.associative C. distributive D.inverse
Answers
the answer is assocative
[tex] \huge \bf༆ Answer ༄[/tex]
The property shown in the given question is an example of B. Associative property
[tex] \sf3(4 \times 6) = (3 \times 4)6[/tex]Kiran and Mai are going on a long bike ride.
• Kiran can ride 4 miles every 16 minutes.
Mai can ride 4 miles every 12 minutes.
.
How long will it take each rider to reach the end of a 12-mile bike path?
1) It will take Kiran minutes to reach the end of a 12-mile bike path?
2) It will take Mai
minutes to reach the end of a 12-mile bike path?
Blank 1:
Blank 2:
Question 4 (2 points)
Answers
Answer:
kiran will take 48 minutes 16 x 3
mai will take 36 minuttes 13 x 3
Step-by-step explanation:
(1) Kiran will take 48 minutes to reach the end of a 12-mile bike path.
(2) Mai will take 36 minutes to reach the end of a 12-mile bike path.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Kiran rides 4 miles every 16 minutes.
Also, Mai rides 4 miles every 12 minutes.
To find the time taken by Kiran and Mai to reach 12 mile bike paths,
Use ratio property,
Time taken by Kiran to ride 4 miles = 16 minutes,
For 1 mile = 4 minutes,
For 12 miles = 12 x 4 = 48 minutes
Time taken by Mai to ride 4 miles = 12 minutes,
For 1 mile = 3 minutes
For 12 miles = 12 x 3 = 36 minutes.
Kiran will take 48 minutes and Mai will take 36 minutes to reach the end of a 12-mile bike bath.
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To make I a subject of the formula V = IR, we *
subtract R from both sides
multiply both sides by R
divide both sides by R
divide both sides by I
Answers
The original
Equation is V = IR
Where I is multiplied by R
To solve for I you need to isolate it by dividing both sides by R
I = V/ R
Answer: divide both sides by R
Answer:
To make I a subject of the formula V = IR, we divide both sides by R.
Step-by-step explanation:
V = IR
V/R =IR/R
The R in IR/R cancels out because it is on the other side.
We then have:
V/R = I
Which can be written as:
I = V/R
Hope this helps! Have a great day!
pls help i really need help STOP SENDING ME LINK
Answers
Answer:
0
Step-by-step explanation:
because your making it all to the zero power which equals zero
Answer:
0
Step-by-step explanation:
We will use the rule of order of operations
15 + 4 = 19
20 + 5 = 25
19 squared = 361
3 x 361 = 1083
25 squared = 625
625 x 2 = 1250
New equation =
1083 + 1250
=
2333
But you multiply by 0 so it equals 0
Calculate the value of (225 ÷ 0.25) – 11.875
Answers
Answer:
888.125
Step-by-step explanation:
(225/.25) - 11.875
(Divide 225 by .25)
900 - 11.875
888.125
what is the expressions of ײ-3y when x = -5 and y=(2-)
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
Plug the values of x and y in the given expression ~
[tex] \sf {x}^{2} - 3y[/tex][tex] \sf( - 5) {}^{2} - (3 \times 2)[/tex][tex] \sf25 - 6[/tex][tex] \sf19[/tex]The equivalent value is 19
how many drinks are contained in a 60 ounce pitcher
Answers
Answer:
fill three pint glasses, five 12-ounce glasses or six 10-ounce glasses.
Step-by-step explanation:
What is 22% of 60?
A) 1,320
B) 13.2
C) 27.3
D) 38
Answers
Answer:
B, 13.2
Step-by-step explanation:
Multiply 60 by 0.22 for your answer and you get 13.2
what is the slope of the line on the graph
Answers
Answer:
5
Step-by-step explanation:
Two complementary angles are in the ratio 3: 2. The number of degrees in the smaller angle is
A. 18 B. 36 C. 54 D. 72
Answers
Answer:
Option B is the correct answer
Step-by-step explanation:
Complimentary angles mean sum of angles is [tex]90^{0}[/tex]
Let the smaller angle be [tex]x[/tex]
Other angle is [tex]90-x[/tex]
We have
Two complementary angles are in the ratio [tex]3: 2[/tex]
[tex]\frac{90-x}{x} =\frac{3}{2} \\\\180-2x=3x\\\\5x=180\\\\x=36[/tex]
Smaller angle is [tex]36^0[/tex]
Option B is the correct answer
hi guys can y’all help me with this problem? i’m stuck :p
Answers
When you reflect across the y-axis, the sign of x changes
When you reflect across the x-axis, the sign of y changes
So the answer should be the first one
Given z varies jointly as x and y, use the given values to find an equation that relates x, y, and z.
x = 3, y = 8, and z = 54
Answers
Answer:
z = 2.25xy
Step-by-step explanation:
Given z varies jointly as x and y then the equation relating them is
z = kxy ← k is the constant of variation
To find k use the condition x = 3, y = 8 and z = 54 , then
54 = k × 3 × 8 = 24k ( divide both sides by 24 )
[tex]\frac{54}{24}[/tex] = k = 2.25
z = 2.25xy ← equation of variation
i don’t know what i’m doing lol
Answers
To find this I looked at the 6 and 4.
I found a common denominator, 2 in this case, and divided. This gave me 3 and 2. So, we already know x=2.
If you don’t understand, let me know
A two-digit number is 5 times the sum of its digits. If 9 is added to the number, its digits are reversed. Find the number
Answers
Answer:
The number = 45
Step-by-step explanation:
Let the 10s digit = x
Let the units digit = y
10*x + y = 5(x + y) Start here: remove the brackets
10*x + y + 9 = 10y + x Subtract y and 10x from both sides
Using the first equation
10x + y = 5x + 5y
5x + y - 5y = 0
5x - 4y = 0
5x = 4y
y = 5/4x
From the second equation
9 = 9y - 9x
1 = y - x Substitute y = 5/4 x
1 = 5/4x - x
1 = 1/4 x
x = 4
y = 5/4 * 4
y = 5.
If 1/3 is classified as a rational number, does 10/3 fall on the same classification? Why and why not
Answers
Answer:
Because it can't be written as a Ratio of two integers
m(arc DE)=105 and M(arc BC)=70 Find M
Answers
Answer:
a. 70
Step-by-step explanation:
which angles are correspoding angles
Answers
Answer:
When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Example: a and e are corresponding angles. When the two lines are parallel Corresponding Angles are equal.
Stanley needs to purchase a cylindrical silo. He wants the radius to be 6 ft. The silo should hold 1700 cubic feet when full. How many feet tall must the slio be? Use 3.14 for Pi.
Answers
Answer:
15.03m
Step-by-step explanation:
h=V/πr2
h=1700/π·62
h≈15.0313
Hope that helps
Solve for x: 4(x-5) 8. = 9y
Answers
Answer:
X=18y+5
EXPLANATION
4(X-5)/8 =9Y
(4X-20)/8 =9Y
4X-20=9Y×8
4X=72Y+20
X=(72Y+20)/4
X=18Y+5
all objects with mass have momentum. true or false
Answers
Answer:
False
Step-by-step explanation:
Even though I said that, an object that moves with a velocity has momentum but on the other way around as far the object is at rest the object will have a momentum of zero a.k.a no momentum.