Answers
Answer:
[tex]CD = 12.6866616739cm[/tex]
[tex]CD \approx12.7cm[/tex]
Step-by-step explanation:
[tex]CB = a[/tex]
[tex]AB = b[/tex]
[tex]AC = c[/tex]
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]
[tex]a = \sqrt{ {12}^{2} - {6}^{2} } [/tex]
[tex]a = \sqrt{144 - 36} [/tex]
[tex]a = \sqrt{108} [/tex]
[tex]CB = \sqrt{108} [/tex]
[tex] \sin(D) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(D) = \frac{CB}{CD} [/tex]
[tex] \sin(55) = \frac{ \sqrt{108} }{CD} [/tex]
[tex](CD) \sin(55) = \frac{ \sqrt{108} }{CD} (CD)[/tex]
[tex](CD) \sin(55) = \sqrt{108} [/tex]
[tex] \frac{(CD) \sin(55) }{ \sin(55) } = \frac{ \sqrt{108} }{ \sin(55) } [/tex]
[tex]CD = \frac{ \sqrt{108} }{ \sin(55) } [/tex]
[tex]CD = 12.6866616739cm[/tex]
[tex]CD \approx12.7cm[/tex]
Related Questions
If you were dividing X6 + 4x3 + 2, how many O's would you
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Answer:
how many O's u would use would be 4
Step-by-step explanation:
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Answer:
A) $402,500
Step-by-step explanation:
69100-57600= 11,500
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Mrs.Giblin begins hiking at mile marker 25 on the Appalachian Trail and hikes 3 miles every hour. What is the slope?
Answers
Answer:
3 miles
Step-by-step explanation:
Slope is simply the change in position per unit rate. We could conclude that the steepness of the Applachian is the rate of change in position per unit time. Since the distance hiked on the Applachian is said to be 3 miles per hour, then we can conclude that the slope of the applachian is 3 miles
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16. In the figure below, lines A and B are parallel.
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Answer:
the angle measurement is 75
Step-by-step explanation:
PLZ ANSWER QUICK IT WILL HELP A LOT!
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Answer: A
Step-by-step explanation: all answer choices have the negative sign for the x-value
Answer:
Correct answer: Choice a.
Step-by-step explanation:
Reflections In The Coordinate Plane
Reflect over the x-axis:
When we reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is mapped to its opposite (its sign is changed).
The reflection of the point (x,y) across the x-axis is the point (x,-y).
Reflect over the y-axis:
When reflecting a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is mapped to its opposite (its sign is changed).
The reflection of the point (x,y) across the y-axis is the point (-x,y).
Note that the original triangle drawn by Jack and the image triangle have the same y-coordinate, but the inverse of the x-coordinate. This matches the definition of a reflection over the y-axis.
Correct answer: Choice a.
1.1. Which statement explains why the two systems of equations below have the
same solution?
A(6x + 8y = -10
2x - 5y = 12
B
8x + 3y = 2
12x + 16y = - 20
A. The first equation in B is the sum of the equations in A, while the other is obtained
by multiplying the second equation in A by 6.
B. The first equation in B is the sum of the equations in A, while the other is obtained
by multiplying the first equation in A by 2.
C. The equations in A are increased by 12 and -32 to get the equations in
D. The equations in A are multiplied by 2 and 4 to get the equations in B.
Answers
Answer:
Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2.
Step-by-step explanation:
As given,
A : 6x + 8y = -10 .......equation (1)
2x - 5y = 12 .......equation (2)
B : 8x + 3y = 2 .......equation (1)
12x + 16y = - 20 .......equation (1)
Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2.
Proof :
The first part says that ,
Sum of equation (1) of A and equation (2) of A = Equation (1) of B
Firstly , find the Sum of equation (1) of A and equation (2) of A
⇒6x + 8y + 2x - 5y = -10 + 12
⇒8x + 3y = 2
this is same as equation (1) of B
So, it satisfies the first part
The second part says that,
The equation (2) of B is obtained by multiplying the first equation in A by 2.
It means , if the equation (1) is multiplied by 2 = equation (2) of B
Firstly , if the equation (1) is multiplied by 2 , we get
2 ( 6x + 8y = -10 )
⇒ 2 ( 6x + 8y ) = 2 ( -10)
⇒ 12x + 16y = -20
this is same as equation (2) of B
So, it satisfies the second part.
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Answers
Answer:
20°,40°,75°
Step-by-step explanation:
Subtract the number from 90 and turn the difference to a degree
Help please will mark brainlist!!!
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Answer:
radius was given
V=1570 ft cubed
Step-by-step explanation:
Volume of a cylinder= 3.14(r^2)h
=3.14(10^2)5
=15.7(100)
=1570
the radius was given
How do you know that ADB and BDC are supplementary?
Answers
Solve the following:
A) a/5 + 3 = 8
B) 3b/7 - 1 = 5
Answers
The answer to B is 14!
A)
a
———=8 :a=64
5+3
Steps:Multiply both sides by 8
8a———-=8 · 8
5+3
Simplify:a=64B)
3b/7 - 1 = 5
Add 1 in both sides
3b/7 - 1 + 1 = 5 + 1
3b/7 = 6
Multiply both sides by 7 and then divide by 3.
3b/7 . 7/3 = 6 . 7/3
b = 2.7
b = 14
credits-https://brainly.com/question/12052195,math-way
x-3y=7
2х-6у=12
Solve the following systems
Answers
Answer:
Step-by-step explanation:
this system doesnt have any solutions
if you multiply the first equation by 2 you will get
2x-6y=14
second equation is
2x-6y=12
the result will -12=14
no solutions
Please help I'm stuck
Answers
Answer:
a^2+20a+24
Step-by-step explanation:
Answer:
your answer is a^2 + 20a + 24
Step-by-step explanation:
Work out the PED for each, and comment on your result. The price of a smartphone is currently £200, and the quantity demanded is 4m. Next year the price falls to £180 and the quantity demanded rises to 6m. The price of pens today is £1, and the quantity demanded is 1m. Next year the price rises to £1.10 and the quantity demanded falls to 950,000. The price of a daily newspaper today is £1.50p, and the quantity demanded is 2m. Next year the price falls by 30p and the quantity demanded rises to 2.2m Question 2
Answers
Answer:
a.) PED = 5
b.) PED = 5
c.) PED = 0.05
Step-by-step explanation:
Here , PED = Price elasticity of demand
a.)
Given - The price of a smartphone is currently £200, and the quantity demanded is 4m. Next year the price falls to £180 and the quantity demanded rises to 6m.
PED = (Change in quantity demanded)×[tex]\frac{Initial Price}{Initial Quantity demanded}[/tex]
Now,
Change in quantity demanded = [tex]\frac{6 - 4}{180 - 200}[/tex] = [tex]\frac{2}{20} = \frac{1}{10}[/tex]
⇒PED = [tex]\frac{1}{10}[/tex]×[tex]\frac{200}{4}[/tex] = 5
b.)
Given -The price of pens today is £1, and the quantity demanded is 1m. Next year the price rises to £1.10 and the quantity demanded falls to 950,000.
Change in quantity demanded = [tex]\frac{1000000 - 950000}{1.10- 1}[/tex] = [tex]\frac{50000}{0.10} = 500000[/tex]
⇒PED = [tex]500000[/tex]×[tex]\frac{1}{1000000}[/tex] = 5
c.)
Given -The price of a daily newspaper today is £1.50p, and the quantity demanded is 2m. Next year the price falls by 30p and the quantity demanded rises to 2.2m
Change in quantity demanded = [tex]\frac{2.2 - 2}{30 - 1.50}[/tex] = [tex]\frac{0.2}{28.50} = \frac{20}{2850} = \frac{2}{285}[/tex]
⇒PED = [tex]\frac{2}{285}[/tex]×[tex]\frac{1.50}{2}[/tex] = [tex]\frac{15}{2850}[/tex]= [tex]\frac{1}{190}[/tex] = 0.005
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4x+ y = 36
8x- y = 60
Answers
Answer:
(8,4)
Step-by-step explanation:
y and -y cancels out leaving you with "12x=96"
that simplifies to "x=8"
Then you substitute 8 into the "x" from either equation and y should equal 4
Sidney skated for 1 1/10 hours last month and 8 7/10 hours this month. How many
hours did Sidney skate in all?
Answers
Answer:
the number of hours does sidney skate in all is 9.8 hours
Step-by-step explanation:
The computation of the number of hours does sidney skate in all is as follows:
= Last month + this month
[tex]= 1 \frac{1}{10} + 8 \frac{7}{10}\\\\= \frac{11}{10} + \frac{87}{10}\\\\= \frac{98}{10}[/tex]
= 9.8 hours
Hence, the number of hours does sidney skate in all is 9.8 hours
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Answers
Answer:
51
Step-by-step explanation:
8.5/1
and
x/6
cross multiply
51=x
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Answers
Answer:
Step-by-step explanation:
The correct answer is B. I'm pretty sure about it. Thank you.
The price of an item at the store can be defined by the variable h. Based on this information, which of the options below represents a markup in price for that item? Select all that apply.
A) 1.05h
B) 1.15h
C) 1.03h
D) 0.95h
E) 0.8h
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Answers
Answer:
i just took the test the answer is A,B and C.
Step-by-step explanation:
Answer:
ABC
Step-by-step explanation:
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Answers
Answer: a^3 - b^3
Step-by-step explanation:
What number replaces ☺ to make the sentence true? 1 + 3 + 4 + 6 + 6 + 8 + 9 + 11 = 4 × ☺.
Answers
Answer:
12
Step-by-step explanation:
simplify: 5w(1-8h)+12hw+5w+3-w
Answers
Answer:
−28hw+9w+3
Step-by-step explanation:
5w(1-8h) = 5w-40wh
+12wh = -28hw
-28hw+5w+5w = -28hw+10w
-w = -28hw+9w
+3 = -28hw+9w+3
Type the missing number in this sequence:
1, 2, 5, 10, , 26, 37, 50
Answers
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Answers
Answer:
i would love to help but I can't see the whole problem. but going on a Hunch I would say you need to just multiply 45 by however much she's selling
Which ordered pair uses the rule used in the table?
Answers
Answer:
8,17 Answer B.
Step-by-step explanation:
A donut shop has fixed costs of $32 per V day, and $2 per muffin sold. This formula can be represented by y = 2x + 32 , where x is the number of muffins sold, and y is the cost per day. Write this relationship in functional notation, as a function C(m) , where C(m) represents the cost for m muffins sold. Select the ordered pair that would represent this function C, given m. (32, (2)) 32 (m, 2m + 32) (2m + 32, m) (c(m), m)
Answers
Help me pleaseeeeeee I put an atachment
Answers
6-6x=108
Can sum one help me I don’t know any of this
Answers
Step-by-step explanation:
6-6x=108
-6 from both sides
-6x=102
divide by -6 on both sides
x= -17
Which is not equivalent to the equation P=2L+2W
Answers
Answer:
Where are the answer choices
Step-by-step explanation:
7x + 2y = 12
-3x -2y = 4
Answers
Answer:
(4, -8) or x=4 y=-8
Step-by-step explanation:
Answer: x=4 and y=−8
Step-by-step explanation: 7x+2y=12, −3x−2y=4
7x+2y+−2y=12+−2y
7x /7 = −2y+12 /7
x= −2 /7 y+ 12 /7
−3( −2 /7 y+ 12 /7 )−2y=4
−8 /7 y+ −36 /7 + 36 /7 =4+ 36 /7
−8 /7 y / /−8/7 = 64 /7 /−8 /7
y=−8
x= −2 /7 y+ 12 /7
x= −2 /7 (−8)+ 12 /7
x=4
x=4 and y=−8
(PLEASE HELP ME I BEG OF YOU)
Kevin and cannot eat on $135 a month salary there any commission for each sale they make and the ratio of Kevin and Kenneth commission is 3:4 if they sell Products worth $610 each in March and Kevin Owens at 12% commission how much did each of them??
A. Kenneth makes $232.60
B. Kevin makes $208.20
C. Kevin makes $73.20
D. They both make $440.00
E. Kenneth makes $219.60
Answers
Answer:
I think the asnwer A or B !!
Step-by-step explanation: