Answers
Answer:
D: <K = 35°
Step-by-step explanation:
<E = 55
<L = 90°
Now
<LKE = 180-90-55
<K = 35°
Answer:
[tex]\fbox{\begin{minipage}{8.8em}Option D is correct\end{minipage}}[/tex]
Explanation:
Here, we state again the definition of inscribed angle in circle:
(1) An inscribed angle has the vertex on the circle and the sides are chords.
=> In the picture shown, angle ELK is inscribed angle with vertex L and LE and LK are chords.
(2)An inscribed angle also creates an intercepted arc whose endpoints are on the angle.
=> Inscribed angle ELK creates intercepted arc EK.
(3) According to the Inscribed Angle Theorem, the measure of intercepted arc is twice as the measure of its inscribed angle.
=> Angle ELK = (1/2) arc EK
Arc EK, whose EK is diameter, is equal to measure of half of circle, or 180 degree, in other words.
=> Angle ELK = (1/2) x 180 = 90 deg
(4) As the property of sum of 3 angles inside a triangle, this sum is equal to 180 degree.
=> Considering triangle ELK:
ELK + LEK + LKE = 180 deg
or
90 + 55 + LKE = 180 deg
or
LKE = 180 - 90 - 55 = 35 deg
Hope this helps!
:)
Related Questions
Solve for a.
ab + c = d
Answers
Answer:
a=(d-c)/d
Step-by-step explanation:
ab+c=d
ab=d-c
a= (d-c)/b
if f(x)=ln(sin(2x)), f''(π/4) is equal to
Answers
Use the chain rule to compute the second derivative:
[tex]f(x)=\ln(\sin(2x))[/tex]
The first derivative is
[tex]f'(x)=(\ln(\sin(2x)))'=\dfrac{(\sin(2x))'}{\sin(2x)}=\dfrac{\cos(2x)(2x)'}{\sin(2x)}=\dfrac{2\cos(2x)}{\sin(2x)}[/tex]
[tex]f'(x)=2\cot(2x)[/tex]
Then the second derivative is
[tex]f''(x)=(2\cot(2x))'=-2\csc^2(2x)(2x)'[/tex]
[tex]f''(x)=-4\csc^2(2x)[/tex]
Then plug in π/4 for x :
[tex]f''\left(\dfrac\pi4\right)=-4\csc^2\left(\dfrac{2\pi}4\right)=-4[/tex]
It’s a math riddle please help Id appreciate it I need this quickly I’ll give additional points... I’d do need an explanation because the question requires it.
Answers
There are three cloaks, so you have to think, what times what equals 21? 7•3=21 after that you just do that formula through the rest 3•10=30
For the last one you have to figure what added and subtracting itself would equal 15? Well it would be 15
15+15-15=15
After that put it all together and you get 157
7+10•15=157
Hope that helps☀️
The puzzle are: 21, 30, 15, 333.
PuzzleClock:
Clock time=9 o'clock+9 o'clock+3 o'clock
Clock time=21
Calculator:
Calculator 1=1+2+3+4=10
Calculator 2=1+2+3+4=10
Calculator 3=1+2+3+4=10
Calculator=10+10+10
Calculator=30
Bulb:
The 3 bulb has 5 light each which represent the brightness of the 3 bulb.
Bulb=15+(15-15)
Bulb =15+0
Bulb=15
Fourth puzzle
Clock+Calculator×Bulb
9 o'clock+(1+2+2+4)× [3 bulb(3 bulb×4 light)]
9+9×(3×12)
Apply BODMAS
9+9×36
9+324
=333
Inconclusion the puzzle are: 21, 30, 15, 333.
Learn more about puzzle here:https://brainly.com/question/16999211
work out the weekly mean number of 50 kg bags of flour used in these 5 weeks
Kim is a baker, she buys flour in 50kg bags.
weeks 1 2 3 4
NO of bags of flour 7 14 8 13
Kim will make 2400 loaves in week 5
Each of these loaves will need 250g of lour
Kim works out weekly mean number of 50kg bags of flour used in these 5 weeks.
she will use the figure for future orders.
Answers
Answer:
Weekly Mean Number of 50-kg bags =10.8 bags
Step-by-step explanation:
In Week 1, Kim uses 7 50kg bags of flour
In Week 2, Kim uses 14 50kg bags of flour
In Week 3, Kim uses 8 X 50kg bags of flour
In Week 4, Kim uses 13 X 50kg bags of flour
In Week 5, Kim will make 2400 loaves.
Each of these loaves will need 250g of flour.
Total Mass of flour that will be used =2400 X 250=600,000 grams
[tex]600,000$ grams=600,000 \div 1000$ kg =600kg\\Number of 50-kg bags =600 \div$ 50 =12 bags[/tex]
In Week 5, Kim will use 12 bags.
Therefore:
Weekly Mean number of 50kg bags of flour used in these 5 weeks.
[tex]=\dfrac{7+14+8+13+12}{5}\\\\ =\dfrac{54}{5}\\\\=10.8 \\ \approx 11$ bags[/tex]
A = (5,2), B = (2,4), C = (6,7) and D = (9,5) What is the length of the shorter diagonal of parallelogram ABCD?
Answers
Answer:
[tex] AC = \sqrt(26) \approx 5.1 [/tex]
Step-by-step explanation:
The diagonals are AC and BD.
Now we find the lengths of the diagonals using the distance formula.
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
AC:
[tex] AC = \sqrt{(6 - 5)^2 + (7 - 2)^2} [/tex]
[tex] AC = \sqrt{(1)^2 + (5)^2} [/tex]
[tex] AC = \sqrt{1 + 25} [/tex]
[tex] AC = \sqrt{26} [/tex]
BD:
[tex] BD = \sqrt{(9 - 2)^2 + (5 - 4)^2} [/tex]
[tex] BD = \sqrt{(7)^2 + (1)^2} [/tex]
[tex] BD = \sqrt{49 + 1} [/tex]
[tex] BD = \sqrt{50} [/tex]
Since sqrt(26) < sqrt(50), then the shorter diagonal is AC.
Answer: AC = sqrt(26) or approximately 5.1
Answer:
A = (5.2)
Step-by-step explanation:
c2= (6-5)^2 + (7-2)^2
To find AC we calculate within parenthesis (6-5) : 1
c2= 1 + (7-2)^2
calculate within parenthesis (7-2) : 5
c2 = 1^2 + 5^2
then calculate exponents 1^2:1
c^2 = 1+5^2
add and subtract left to right
c^2 = 1+25
c^2 =26
Sr of 26 = 5.09901951359
Which means the closest answer is A = 5.2
To find BD we calculate within parenthesis (9-2):7
c2= (9-2)^2 + (5 - 4)^2
calculate within parenthesis (5-4) : 1
c2 = (7)^2 + (1)^2
calculate exponents 1 ^2 : 1
c2 = 49 +1
add and subtract left to right
c2 = 50
Sr of 50 = 7.07106781187
please hurry I’ll make brainiest
A ball is tossed into the air from a height of 6 feet above ground level,
with a velocity of 3.4 feet per second. Which function could be used to
model the height of the ball, after t seconds?
Answers
Answer:
I think it would be the first but not 100% sure
Step-by-step explanation:
g(-4)
Please help!!
Answers
Answer:
1
Step-by-step explanation:
g(-4) means what is the y value when x is -4.
Find x=-4, and when x=-4. y=1
Answer:
1
Step-by-step explanation:
Determine the number of ways three trumpet players out of 6 are chosen for 1st chair, 2nd chair, and 3rd chair.
Answers
Answer:
120 ways
Step-by-step explanation:
There are 3 spots and 6 options
_ _ _
1 2 3
6 ways for 1st chair to be chosen
5 ways for 2nd chair to be chosen (1st chair is chosen already, so there are 5 players left)
4 ways for 3rd chair to be chosen (1st and 2nd are already chosen, only 4 players left)
Multiply 6*5*4 to find the total number of ways (120)
A tank contains 60 kg of salt and 1000 L of water. A solution of a concentration 0.03 kg of salt per liter enters a tank at the rate 9 L/min. The solution is mixed and drains from the tank at the same rate. Let y be the number of kg of salt in the tank after t minutes. Write the differential equation for this situation
Answers
Answer:
[tex]\dfrac{dy}{dt}=0.27-0.009y(t),$ y(0)=60kg[/tex]
Step-by-step explanation:
Volume of water in the tank = 1000 L
Let y(t) denote the amount of salt in the tank at any time t.
Initially, the tank contains 60 kg of salt, therefore:
y(0)=60 kg
Rate In
A solution of concentration 0.03 kg of salt per liter enters a tank at the rate 9 L/min.
[tex]R_{in}[/tex] =(concentration of salt in inflow)(input rate of solution)
[tex]=(0.03\frac{kg}{liter})( 9\frac{liter}{min})=0.27\frac{kg}{min}[/tex]
Rate Out
The solution is mixed and drains from the tank at the same rate.
Concentration, [tex]C(t)=\dfrac{Amount}{Volume} =\dfrac{y(t)}{1000}[/tex]
[tex]R_{out}[/tex] =(concentration of salt in outflow)(output rate of solution)
[tex]=\dfrac{y(t)}{1000}* 9\dfrac{liter}{min}=0.009y(t)\dfrac{kg}{min}[/tex]
Therefore, the differential equation for the amount of Salt in the Tank at any time t:
[tex]\dfrac{dy}{dt}=R_{in}-R_{out}\\\\\dfrac{dy}{dt}=0.27-0.009y(t),$ y(0)=60kg[/tex]
Each roll of tape is 30.5 feet long. A box contains 454 rolls of tape. How many yards are there in total
Answers
Answer:
Answer: 4615.66667
Steps: 1 foot=0.33333
total feets=30.5×454=13847
13847 feets=46.1566667 yards
Write an equation of a line that is parallel to the line 3y=-x+6 and passes through the point (6,2).
Answers
Answer:
y = x+2
y =-x+2 shows 0
We want to show 1 both sides
2y = x+2 shows 2
y = x+2 shows 0 as explained below.
Step-by-step explanation:
3y−x=6
Solve for y.
y=2+x3
Rewrite in slope-intercept form.
y=13x+2.
Use the slope-intercept form to find the slope and y-intercept.
Slope: 13 y-intercept: 2
Any line can be graphed using two points. Select two
x values, and plug them into the equation to find the corresponding y values.
xy 02, 33
Graph the line using the slope and the y-intercept, or the points.
Slope:
13y-intercept: 2x y (0,2) (3,3)
What’s the correct answer for this question?
Answers
Answer:
B:
Step-by-step explanation:
Measure of ARC AFB is 180°
Why?
This is because AB is a diameter.
Which type of symmetry?
Answers
Answer:
both rotational and reflectional
Answer: both rotational and reflectional
Step-by-step explanation: a p e x
Write the equation of the line parallel to y+4= 1/4(x+5) and passing through the point (8, 20). Write in the format y = mx + b
Answers
Answer:
[tex]y=0.25x+18[/tex]
Step-by-step explanation:
So first we take the equation we are given and write it in slope-intercept form (y = mx + b):
[tex]y+4= \frac{1}{4} (x+5)\\\\y+4=0.25x +1.25\\\\y=0.25x-2.75[/tex]
Now we know parallel lines have the same slope, so the line we are looking for has a slope of 0.25.
so we can start to set up our equation:
[tex]y=0.25x+b[/tex]
and then substitue in the point (8,20) to find the y-intercept.
[tex]20=0.25(8)+b\\20=2+b\\b=18[/tex]
So now we have our equation:
[tex]y=0.25x+18[/tex]
Hope this helps!
Which of the following expressions shows the correct amount of sales tax for the computer at Store A? Select all that apply. 6%($1,200) 0.6($1,200) 0.06($1,200) 1/6($1,200) 3/50($1,200)
Answers
Answer:
1, 3,5
Step-by-step explanation:
Answer:
1,3,5
Step-by-step explanation:
Which graph shows exponential growth?
Answers
The answer is graph A 7/9/20 edge
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Tyson’s puppy weighed 8 pounds 3 ounces last year.
In one year the puppy gained 2 pounds 4 ounces.
How much does Tyson’s puppy weigh now in ounces?
Answers
Last year- 8 lbs 3 ounces
Add 2 lbs and 4 ounces
Which is 10 lbs 7 ounces
10 lbs in onces is 160 ounces
Then you add the other 7 ounces so the final answer is 167 ounces
Tyson’s puppy weighs 167 ounces!
Good luck please mark me as braniliest!!!!!!
What else would need to be congruent to show that ABC=DEF by SAS?
Answers
Answer:
A
Step-by-step explanation:
Answer:
The answer here is A.
A) A is congruent to D.
A=
Step-by-step explanation:
AP E
Draw a model of square root of 12 using perfect squares
Answers
Answer:
The answer is "[tex]\sqrt{12}[/tex] is not a perfect square".
Step-by-step explanation:
12 is not a perfect square because it is the natural number, and no other natural number would square the number 12, that's why it is not a perfect square.
If we calculate the square root of [tex]\sqrt{12}[/tex]. so, it is will give [tex]2\sqrt{3}[/tex] that is not a perfect square root which can be described as follows:
[tex]\Rightarrow \sqrt{12}= \sqrt{2\times 2\times 3}[/tex]
[tex]= \sqrt{2^2\times 3}\\\\= 2\sqrt{3}\\\\[/tex]
[tex]\bold{\sqrt{12}}[/tex] is not a perfect square root.
Answer:
Here's a picture
Step-by-step explanation:
TIMED PLEASE HELP When f = 2 and g = 8, n = 4. If n varies jointly with f and g, what is the constant of variation?
1/4
1/2
4
64
Answers
The Answer is 1/4
Step-by-step explanation:
The required constant of variation for given data is k = 1/4
The correct option is (a)
What is constant of variation?In a direct variation, the product of two variables; in an inverse variation, the ratio of two variables, is called constant of variation
Formula:
k = [tex]\frac{n}{fg}[/tex]
How calculate constant of variation?Here we have given that n = 4, f = 2 and g = 8
Substitute the given values into above formula
k = [tex]\frac{4}{2(8)} =\frac{1}{4}[/tex]
The required constant of variation is 1/4
Therefore the correct option is (a)
This is the conclusion to the answer.
Learn more about constant of variation here-
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The cost of 4kg of Apple and 6kg of orange is Rs620.If the cost of orange is the same as the cost of 5 kg Apple find the cost of per kg of Apple and orange?
Answers
Answer:
The apple cost RS 18.24 per kg, while
the orange cost RS 91.18 per kg.
Step-by-step explanation:
Let the cost of 1kg if apple and orange be RS A and RS O respectively.
From the first line:
4A +6O= 620
2A +3O= 310 -----(1) (÷2 throughout)
From the information given in second line:
O= 5A -----(2)
subst. (2) into (1):
2A +3(5A)= 310
2A +15A= 310 (expand)
17A= 310 (simplify)
A= 310 ÷17 (÷17 on both sides)
A= 18.235 (5 s.f.)
A= 18.24 (2 d.p.)
Subst. into (2):
O= 5(18.235)
O= 91.18 (2 d.p.)
Find the value of x.
Answers
Answer:
Step-by-step explanation:
so there’s 25 and 25 it’s kinda like counting money divide it into 4 pieces 25 , 50 , 75 , 100
Answer:
The answer would be x=3
Step-by-step explanation:
The radius of a circle is 2.6 in. Find the circumference
to the nearest tenth.
Answers
Answer:
16.
Step-by-step explanation:
since given the radius and the formula of the circumference of a circle is 2pie*r
need answers to 34 35 and 36
Answers
Answer:
34) 75
35) 60
36) 210
Step-by-step explanation:
34) Area of a rectangle:
L x B
= 15 x 5
= 75
35) Area of a trapezium :
½ h (sum of || sides)
= ½ x 6 x (12+8)
= 3 x 20
= 60
36) Area of a regular hexagon:
3BH
= 3 x 7 x 10
210
Hope it helps....
Answer:
Step-by-step explanation:
35. 75
area of rectangle : A = b x h
= 15 X 5
= 75
36. 60
area of trapezoid : A = (b1 + b2) x h
2
= (8+12) x 6
2
= 60
37. 210
area of regular polygon : A = P x a (P no. of sides) (a is apothem)
2
= (6 x 10) x 7
2
= 210
A plane intersects the prism perpendicular to the base, intersecting opposite sides of the base. Which best describes the cross section?
Answers
Answer:
Step-by-step explanation:
For a rectangular prism, a plane intersecting this prism produces a two dimensional figure as its cross section and in this case the cross section is a rectangle.
For a triangular prism, a plane intersecting this prism produces a two dimensional figure as its cross section and in this case the cross section is a triangle.
Liquid suspension contains 125 MG of medication aide for every 300 ML solution this is Spenton is being infused into a patient at the rate of 100 ML per hour if the infusion started at 6 AM and the patient needs 500 MG of the medication a at what time will you need to stop the infusion
Answers
Answer:
6 PM
Step-by-step explanation:
125 mg --- 300 mL
500 mg --- x mL
x = 500*300/125 = 1200 mL solution contains 500 mg
rate = 100 mL/h
1200 mL* 1h/100 mL = 12 h
6AM + 12 h = 6 PM
You need to stop infusion at 6 PM
It is found that You need to stop infusion at 6 PM.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that Liquid suspension contains 125 MG of medication aide for every 300 ML solution this is Spenton is being infused into a patient at the rate of 100 ML per hour if the infusion started at 6 AM and the patient needs 500 MG of the medication.
125 mg = 300 mL
500 mg = x mL
x = 500*300/125
x = 1200 mL
Here solution contains 500 mg
The rate = 100 mL/h
1200 mL* 1h/100 mL = 12 h
6AM + 12 h = 6 PM
Therefore, You need to stop infusion at 6 PM.
Learn more about the unitary method;
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Professional basketball coaches may coach at one of three levels: Assistant, Associate, or Head. It is possible to transition from any of these levels (states) to another. Each of these three states is transient because once someone leaves coaching at any level they never return (at least according to our model). On average, annual salary for head coaches is $104,485, for associates is $62,993, and for assistants is $41,389. Using our P matrix, we have solved to find the fundamental matrix (we have called it the (I-Q) inverse matrix): Assist Assoc Head Assist 6 4 2 Assoc 2 6 6 Head 1 2 10 For someone who is a head coach - what is their expected income for the remainder of their professional coaching career?
Answers
Answer:
For someone who is a head coach - their expected income for the remainder of their professional coaching career will be
Expected income = 1×$41,389 + 2×$62,993 + 10×$104,485
Expected income = $1,212,225
Step-by-step explanation:
Professional basketball coaches may coach at one of three levels:
AssistantAssociateHeadOn average, the annual salary is given by
Assistant = $41,389Associate = $62,993Head = $104,485Using our P matrix, we have solved to find the fundamental matrix (we have called it the (I-Q) inverse matrix):
Assistant Associate Head
Assistant 6 4 2
Associate 2 6 6
Head 1 2 10
For someone who is a head coach - what is their expected income for the remainder of their professional coaching career?
As per the given P matrix, for someone who is a head coach will be:
Assistant = 1 time
Associate = 2 times
Head = 10 times
Therefore, the expected income will be,
Expected income = 1×$41,389 + 2×$62,993 + 10×$104,485
Expected income = $1,212,225
Please answer this correctly
Answers
Answer:
10 people
Step-by-step explanation:
Count the x's for more than 1 scarf, which is 2 or 3 scarfs
2 = 9
3 =1
total = 10
During your journey, you develop an abscessed tooth and have to visit the dentist. You are prescribed an antibiotic with a dosage of 7.5 mg/kg every six hours. If you weigh 128 pounds and the antibiotic comes in 250 mg tablets, how many tablets should you take each day?
Answers
Answer:
I should take 10.44 tablets in a day, approximately 10.5 tablets.
Step-by-step explanation:
In order to solve this problem we need to convert the weight from pounds to kilograms, to do that we need to divide it by 2.205.
[tex]w = \frac{128}{2.205}\\w = 58.05 \text{ kg}[/tex]
Since I need to take 7.5 mg per kg of body weight, then in order to find the dosage we need to multiply the weight in kg by 7.5.
[tex]\text{dosage} = 58*7.5 = 435 \text{ mg}[/tex]
Since I need to take it every six hours and there are 24 hours in a day, we will have to take 4 dosages in a day, therefore we need:
[tex]\text{dosage(day)} = 435*6 = 2,610 \text{ mg}[/tex]
The antibiotic comes in 250 mg in tablets, therefore the number of tablets is:
[tex]tablets = \frac{2610}{250} = 10.44[/tex]
I should take 10.44 tablets in a day, approximately 10.5 tablets.
Tamar rides her bike 960 feet in 2 minutes. What is her rate of speed?
Answers
Answer:
Rate of speed = 480 feet per minutes
Step-by-step explanation:
Given:
Distance covered by bike = 960 feet
Time taken to covered distance = 2 minutes
Find:
Rate of speed = ?
Computation:
⇒ Speed = Distance / Time
⇒ Rate of speed = Distance covered by bike / Time taken to covered distance
⇒ Rate of speed = 960 / 2
⇒ Rate of speed = 480 feet per minutes
