Answers
CD is 11 square root of 14.
The measure of the side length CD in the given right angled triangle as per the measurements is equal to option C. 11√14 .
In right triangle ABE,
Measure of angle ABE = 90 degrees
Measure of angle AEB = 60 degrees
AB = 11√7
Using trigonometric ratio we have,
tan 60° = AB / BE
⇒ √3 = 11√7 / BE
⇒ BE = 11√7 / √3
⇒BE = 11√21 / 3
In right triangle BED,
Measure of angle BED = 90 degrees
Measure of angle EBD= 45°
⇒Measure of angle EDB= 45°
BE ≅ ED
BE = 11√21 / 3
⇒ED = 11√21 / 3
Using Pythagoras theorem,
BD² = BE² + ED²
⇒BD = √ 2 (11√21 / 3 )²
⇒BD = 11√21 / 3 × √2
⇒ BD = 11√42 / 3
In right triangle CDB,
Measure of ∠CDB = 90°
Measure of ∠DCB = 30°
tan 30° = BD / CD
⇒ ( 1/ √3) = 11√42 / 3 / CD
⇒ CD = [11√42 / 3 ] × √3
⇒ CD = 11√14
Therefore, the length of the side CD in the triangle is equal to option C. 11√14 .
learn more about length here
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Related Questions
How much would it cost to buy three medium sodas and two hotdogs
Answers
Answer:
depends how much they cost each
The length of the base of an isosceles triangle is x. The length of a leg is 2x-5 . The perimeter of the triangle is 25. Find x.
Answers
Answer:
=x+2x-5=25
=3x-5=25
=3x=30
=x=10cmStep-by-step explanation:
mark as brainliast
Answer:
10 cm
Step-by-step explanation:
simplify 6(x+3-2) (4-x)
Answers
NEED HELP FAST WILL GIVE BRAINLIEST
Consider w = 4(cos(pi/2)+i sin(pi/2) and z=3(cos(3pi/2) +i sin(3pi/2)). What is w +z expressed in polar form?
A. Cos(0) + sin(0)
B. Cos(pi/2)+ isin (pi/2)
C. Cos(pi)+ isin (pi)
D. Cos(3pi/2) +isin (3pi/2)
Answers
Answer:
B. cos(pi/2) +i·sin(pi/2)
Step-by-step explanation:
You can convert to rectangular and back, or you can use the trig function relations directly.
w = 4·cis(π/2) = 4i
z = 3·cis(3π/2) = -3i
Then the sum is ...
w +z = 4i -3i = i = cis(π/2) . . . . matches choice B
__
An alternative representation of z is ...
z = -3·cis(π/2)
Then ...
w +z = 4·cis(π/2) -3·cis(π/2) = cis(π/2)
_____
Additional comment
In the above, we have used cis(α) to represent (cos(α) +i·sin(α)).
URGENT PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer:
The correct answer will be option D.
Step-by-step explanation:
They both have a pretty fair chance of winning.
Help me on this pls and thank you
Answers
Answer:
5x - 15 + 2x + 90 = 180
180 since it's a flat line, and all the angles should add up to 180 which is angle AOB, 90 degrees is already given in the middle.
Simplify all the terms (The algebra portion)
7x - 15 + 90 = 180
7x + 90 = 195
7x = 105
x = 105/7
x = 15
now substitute in x for all these angles
2(15) = 30 degrees is the angle GOB
5(15) - 15 = 60 degrees is the angle AOF
60 + 90 + 30 = 180 degrees.
and x = 15
Determine the measure of angle ∠ABD.
a) 48
b) 12
c) 90
d) 24
Answers
Answer:
24 or 12
Step-by-step explanation:
can you answer number four please
Answers
Answer:
l = 104/3
w = 40/3
Step-by-step explanation:
l = 2*w + 8
P = 2(l + w) = 96
48 = l + w
2w + 8 + w = 48
3w = 40
w = 40/3
l = 2*40/3 + 8
= 80/3 + 8
= 80 + 24 / 3
= 104/3
Mary spent a total of $354.30 for a party. She spent $200.90 on food, plus an additional $30.68 for each hour of the party. How long was the party?
Answers
Answer:
About 5 hours
Step-by-step explanation:
Hope it helps
plz help! so hardddddddd
Answers
Answer: The average temperature on Earth has risen.
Step-by-step explanation:
If you look at the graph, you can see that the average for temperature on Earth has risen since 1800s through 2000s
How to solve this? If u can ols sho step by step
Answers
for example, the line is y = ax + b (1)
we have the line go through the point ( 0 ; 3 ) so y = 3 (2)
we also have the line go through the point ( 0 ; 5 ) so x = 5 (3)
And look at the picture we also have b= 3 (4)
Put (2)(3)(4) in (1) we gonna have a= -3/5
so the line gonna be y = -3/5x + 3
P/s: if you don't understand, you can try this:
we have the line go through the point ( 0 ; 3 ) so y = 3
we also have the line go through the point ( 0 ; 5 ) so x = 5
so put it in the answer :
+) -3x -5y = 15
when x = 0 => y = -3 but y = 3 so it's wrong
+) y = -3/5x + 3
when x = 0 => y = 3
when y = 0 => x = 5 it's right :))
+) 3x + 5y = 15
when x = 0
when y = 0 => x = 5 it's right :)) but write improperly :'))
+) y = -3/5 ( x - 5 )
when x = 0 => y = 3
when y = 0 => x = 5 it's right :)) but write improperly :'))
so we choose y = -3/5x + 3
ok done. Thank to me :>
Can someone help me. All i need o know is what is the value after 10 years i done the equation part by myself
NO BOTS OR ILL REPORT YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
ILL GIVE BRAINLY TO CORRECT ANSWER
100 points
Answers
Answer:
$4811
Step-by-step explanation:
Initial price = 35,000
18% decrease anually = 18/100 = -0.18
after 10 years
substitute these values in the formula shown in below figure
A = 35000 * ( 1 + -0.18/1 ) ^10
= 35000 * 0.82^10
= 4,810.681
= $4811
0.011 divided by 0.25
Answers
Answer:
0•044 is the correct answer
Answer:
0.044
Step-by-step explanation:
1. John is going to join a gym. He must pay a one-time membership fee of $75 and a monthly fee of $30. Let m = the number of months John has his membership. Write an expression to represent this situation How much will John pay for 6 months of membership?
2. Madison is having a party. She went to the store and bought a cake for $18.50 and 20 balloons. Her total bill was $63.50. How much did each balloon cost if they all cost the same? Write and solve an equation. Please look over these again. Webmail your answers to get your points back.
Answers
John's membership in the gym and Madison's party are illustrations of linear equations.
1. John's equation
The given parameters are:
[tex]\mathbf{Base = 75}[/tex]
[tex]\mathbf{Monthly = 30}[/tex]
The monthly expression is:
[tex]\mathbf{f(m) = Base + Monthly \times m}[/tex]
So, we have:
[tex]\mathbf{f(m) = 75+ 30 \times m}[/tex]
[tex]\mathbf{f(m) = 75+ 30m}[/tex]
For 6 months, we have:
[tex]\mathbf{f(6) = 75+ 30 \times 6}[/tex]
[tex]\mathbf{f(6) = 255}[/tex]
Hence, the expression that represents the situation is [tex]\mathbf{f(m) = 75+ 30m}[/tex], and the amount for 6 months of membership is $255
2. Madison's party
The given parameters are:
[tex]\mathbf{Cake = 18.50}[/tex]
[tex]\mathbf{Balloon = 20}[/tex]
[tex]\mathbf{Total = 63.50}[/tex]
Let n represent the cost of each balloon.
So, the equation is:
[tex]\mathbf{Cake + Balloon \times n = Total}[/tex]
This gives:
[tex]\mathbf{18.50 + 20 \times n = 63.50}[/tex]
Subtract 18.50 from both sides
[tex]\mathbf{ 20 \times n = 45}[/tex]
Divide both sides by 20
[tex]\mathbf{ n = 2.25}[/tex]
Hence, the expression that represents the situation is [tex]\mathbf{18.50 + 20 \times n = 63.50}[/tex], and the cost of each balloon is $2.25
Read more about linear equations at:
https://brainly.com/question/11897796
PLZ HELP ME!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
i have no idea what this question is asking for but my guest is that you need to reformate the equations
-5x+y=-11 in y+mx+b format is y=5x-11
x-y=7 in y=mx+b formate is y=-x+7
Four integers have a mean of 12, a median of 12, a mode of 12 and a range of 6.
Find the four integers.
Answers
How can you tell if you are finished solving a polynomial division problem?
Answers
The polynomial division problem can be concluded finished if; their is no remainder or the Divisor is larger than the remainder.
According to the question:
We are required to determine when a polynomial division problem is finished.In polynomials, the division of a polynomial NY the Divisor gIves a quotient and a remainder.
Read more:
https://brainly.com/question/12520197
ahh i need help with these 2 questions ill mark u as brainliest
Answers
Answer:
3. x = 96
4. x = 6
Step-by-step explanation:
The data points in the table show minutes on phone calls Identify the missing values in the table.
per day, x, and text messages sent per day, y. The least-
squares regression line for the data is j = 100 - 0.5x.
Use this table to answer the question.
A=
B=
C =
D =
Answers
Answer:
A= 5
B= 0
C= 50
D= -5
Step-by-step explanation:
Just did it on EDGE
what is the value of x?
a)
[tex]2 \sqrt{10} [/tex]
b)
[tex]2 \sqrt{2} [/tex]
c)
[tex]2 \sqrt{5} [/tex]
d)
[tex]2 \sqrt{3} [/tex]
Answers
Answer:
A
Step-by-step explanation:
using pythagoras theorem
h²=p²+b²
Can someone help me on these two questions? NO LINKS!
Answers
Answer:
6. a 7. c
Step-by-step explanation:
6. 72 is multiple of 24 and has 18 as a factor
7. 56= 32= 88
8(7+ 4)
=) 56+ 32= 88
OR
=) 8(11)= 88
56+32=88
8(11)=88
Six apples and three oranges cost $3.36. Two apples and five oranges cost $3.04. Find the cost of one apple and the cost of an orange.
Answer and step-by-step explanation pls!!
Answers
Answer:
$0.8
Step-by-step explanation:
let x represent the price of apples
let y represent the price of oranges
6x+3y=3.36—eqn 1
2x+5y=3.04—eqn 2
Multiply eqn 2 by 3
3(2x+5y=3.04)=6x+15y=9.12
Subtract eqn 2 from 1
6x+3y=3.36
-{6x+15y=9.12}
-12y=-5.76
y=0.48
plug y=0.48 into eqn 1
6x+3(0.48)=3.36
6x=3.36-1.44
x=1.92/6=0.32
That is, an apple costs $0.32 and an orange costs $0.48
Therefore the cost of an orange and an apple=$0.48+$0.32=$0.8
Answer:
apple: $0.32orange: $0.48Step-by-step explanation:
Let x and y represent the costs of 1 apple and 1 orange, respectively. The two cost figures tell us ...
6x +3y = 3.36
2x +5y = 3.04
We note that all of the numbers in the first equation are divisible by 3, so we can divide by 3 to reduce it to ...
2x +y = 1.12
Subtracting this from the second equation gives ...
(2x +5y) -(2x +y) = (3.04) -(1.12)
4y = 1.92 . . . . . . . simplify
y = 0.48 . . . . . . . divide by 4
Then the cost of an apple can be found from our reduced equation:
2x +0.48 = 1.12 . . . substitute for y
2x = 0.64 . . . . . . . . subtract 0.48
x = 0.32 . . . . . . . . . divide by 2
The cost of one apple is $0.32; the cost of one orange is $0.48.
_____
Additional comment
The method of solution we used here is called "elimination," because the x-variable was eliminated from the combined equations. There are numerous other methods available for solving a system of linear equations. Most graphing calculators have features for graphing and for reducing matrices that will solve these for you. All you need to do is enter the equations.
Choose yes or no to tell if the digit in the tens place is 1/10 of the value of the digit in the hundreds place 54,450
Answers
Answer:
No
Step-by-step explanation:
54,450
Digit in tens place = 5
value = 50
54,450
Digit in hundreds place = 4
value = 400
1/10 value = 40
No the digit in the tens place is more than 1/10 the value of the digit in the hundreds place
50 is greater than 40
(PLEASE HELP, THIS IS DUE TONIGHT!!!!) 2. If triangle ABC is congruent to triangle DEF by SAS, AB=DE, information that shows SAS?
3. In quadrilateral ABCD, AB and CD are parallel and congruent, BC and DA are parallel and congruent, and AC and BD are congruent. What type of figure is this and explain why you chose this figure?
Answers
Answer:
One pair of opposite sides are parallel and congruent. From the figure, one pair of opposite sides has the same measure and are parallel.
34.98+12.24=?
answers please
Answers
Answer:
Hello!
After reading your question I have calculated the correct answer to be:
47.22
Step-by-step explanation:
The way I solved this equation was I first split the equation into two parts.
I took the two whole numbers, being "34" and "12", and made their own equation:
"34+12=?"
And then I took the two partial numbers "0.98" and "0.24" and made their own equation:
"0.98+0.24=?"
I then solved both equations:
"34+12= 46"
"0.98+0.24= 1.22"
And added those two solutions together to come up with the final solution:
"46+1.22= 47.22"
Hope this helped!
Answer:
47.22 is the answer
Step-by-step explanation:
hope it helps you
express the following as decimal. 25/1000
20/50
3/50
2/3
Answers
Answer:
[tex]\frac{25}{1000}[/tex] = 0.025
[tex]\frac{20}{50}[/tex] = 0.4
[tex]\frac{3}{50}[/tex] = 0.06
[tex]\frac{2}{3}[/tex] = 0.(66) or 0.66666666666666666
100 POINTS!! WILL MARK BRAINLIEST
NEED RESPONSE ASAP PLEASE AND THANK YOU!!
A feasible region is bounded by the constraints:
y ≤ 20-x
{ y ≥ 20-4x
y ≥ 5-0.25x
The objective function is P = 3x + 5y.
(a) Graph the feasible region.
(b) Find the value of the objective function at each vertex of the feasible region.
(c) What is the minimum value of the objective function, P?
(d) At which vertex point does the minimum value occur?
Show all work.
Answers
Answer:
1) b. at vertex ( 0,20) P = 5(20) = 100 at vertex ( 4,4) P = 3(4) + 5(4) = 32 at vertex (20,0) P = 3(20) = 60 c. x = 4 , y = 4 2) x-intercepts x 1 = 1.66667, ...
Step-by-step explanation:
Find each indicated length if A is the midpoint of XZ and B is the midpoint of YZ (please help asap!!)
Answers
Answer:
Step-by-step explanation:
We have to think that the median and the side is parallel to are one small and one big, and that the small one is half of that big one and that the big one is the small one doubled.
AB = 8 ( the small one ) then XY = 2* 8 = 16 ( the big one)
AB = 3 then XY = 2* 3 = 6
AB = 2.5 then XY = 2*2.4 = 5
XY = 18 ( the big one) then AB = 18/2 = 9 ( the small one)
XY = 4 then AB = 2/2 = 2
XY = 9 then AB = 9/2 = 4.5
Five years ago, a father was 3 times as old
as his son, now their combined ages amount
to 110 years. How old are they?
Answers
Answer:
Father is 80 years old and the son is 30
Step-by-step explanation:
Let father be x and son be y:
x-5 = 3(y-5)
x = 3y-10 ------ eq1
x+y = 110
x = 110 -y -------- eq2
Now if we combine the 2 equations we get:
3y + y = 110+10
y=30 (sons age)
Substituting in equation 2 we get:
x = 110 - 30
x = 80
Therefore, the fathers age is 80 and the sons age is 30.
Help !! I don’t understand
Answers
Answer: .8, -.9, -.5, .9 (estimates)
Step-by-step explanation: correlation coefficients are between -1.0 and 1.0.
-1.0 means a perfectly negative correlation, which will be a straight line going down from left to right
0 means no correlation, it's just random points on the graph with no sense of direction or relationship
1.0 means a perfectly positive correlation, which will be a straight line going up from left to right
the more line-like the shape the data points make are, the further away the correlation coefficient is from 0. you can tell if it's negaitive or positive from the direction of the line.