Answer:
m∠DFE = 69°
Step-by-step explanation:
The tangent of a circle is always perpendicular to the radius.
Therefore, as ABC is the tangent to the circle, and OB is the radius of the circle:
⇒ m∠CBO = 90°
Interior angles of a triangle sum to 180°. Therefore:
⇒ m∠COB + m∠CBO + m∠BCO = 180°
⇒ m∠COB = 180° - m∠CBO - m∠BCO
⇒ m∠COB = 180° - 90° - 48°
⇒ m∠COB = 42°
Angles on a straight line sum to 180°. Therefore:
⇒ m∠DOE + m∠COB = 180°
⇒ m∠DOE = 180° - m∠COB
⇒ m∠DOE = 180° - 42°
⇒ m∠DOE = 138°
The angle at the center is twice the angle at the circumference.
Therefore:
⇒ m∠DOE = 2 × m∠DFE
⇒ m∠DFE = m∠DOE ÷ 2
⇒ m∠DFE = 138° ÷ 2
⇒ m∠DFE = 69°
Find n(A) for the set.
1) A = 200, 201,
202, ..., 2000)
A) n(A)= 1801
B) n(A)= 4
C) n(A)=2000
A=200,201,202.........,2000
Here, it forms an AP with common difference 1
Let the number of terms in the set be n
[tex] T_{n} = a+(n-1)d \\\\ 2000= 200+(n-1) \\\\ 200+n-1= 2000 \\\\ => n=2000-199= 1801[/tex]
Hence,n(A)=1801
1. Read the price list of different items displayed in a restaurant menu.
veg momo 150.50
chicken momo 210.25
chowmien 170.80
frenchfries 75.25
cold drinks 40.50
Then
solve the following given problems.
a) Calculate the total cost of a plate of Veg. Mo:Mo and a cold drink.
b) Find the total cost of plate of chicken Mo:Mo and a plate of French fries.
c) You and your friend had two plates of Chow Mein and two bottles of cold
drinks. If you have a Rs.500 note to the waiter to clear the bill, how much
change did the waiter return to you?
d) If you have Rs.300 pocket money, what two items do you choose to have in the
restaurant? What is the total cost of those two items? How much money was
left with you after paying the bill?
Answer:
a.Rs 191
b.Rs 285.5
c.total amount =Rs 422.6
return amount=500-422.6
=Rs 77.4
d.chicken momo and cold drink=210.25+40.50
=Rs 250.75
left amount=300-250.75
=Rs 49.25
HELP WITH MY MATH AS SOON AS POSSIBLE
Answer:
67
Step-by-step explanation:
I got it right trust me
What is this (College Math)
Hi, Which math? Alegbra,calculus, or geometry?) lol
Step-by-step explanation:
Simplify 6(x-2 + 5(x+12)-12x
Answer:
48-x
Step-by-step explanation:
6(x-2) + 5(x+12)-12x
6x-12+5x+60-12x
6x+5x-12x-12+60
-x+48
10xy-15x-2y+3 factor the polynomial
Answer:
(5x - 1)(2y - 3)
Step-by-step explanation:
10xy - 15x - 2y + 3 = 5x (2y - 3) - (2y - 3) = (5x - 1) (2y - 3)
please can someone help me it’s urgent i need it done by 8:00‼️
Answer: need to clam and not worry to much and study a lot to be come great and great at math
Step-by-step explanation: i try and i give it all i can and not give up
A botanist wishes to estimate the typical number of seeds for a certain fruit. She samples 41 specimens and counts the number of seeds in each. Use her sample results (mean = 54.7, standard deviation = 5.3) to find the 90% confidence interval for the number of seeds for the species. Enter your answer as an open-interval (i.e., parentheses) accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
Answer:
(53.3; 56.1)
Step-by-step explanation:
Given that:
Sample size, n = 41
Mean, xbar = 54.7
Standard deviation, s = 5.3
Confidence level, Zcritical at 90% = 1.645
Confidence interval :
Xbar ± Margin of error
Margin of Error = Zcritical * s/sqrt(n)
Margin of Error = 1.645 * 5.3/sqrt(41)
Margin of Error = 1.362
Lower boundary = 54.7 - 1.362 = 53.338
Upper boundary = 54.7 + 1.362 = 56.062
(53.3 ; 56.1)
You purchase a bond with a coupon rate of 8.5% and par value of $2,000. The value of the bond rose to $2,500. What is the bond?
Answer:
The bond yield is 6.80%.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
You purchase a bond with a coupon rate of 8.5% and par value of $2,000. The value of the bond rose to $2,500. What is the bond yield?
The bond can now be calculated as follows:
Coupon payment = Coupon rate * Bond per value = 8.5% * $2,000 = $170
Bond yield = Coupon payment / Current value of the bond = $170 / $2,500 = 0.068, or 6.80%
Therefore, the bond yield is 6.80%.
Mrs. Owens borrowed $50,000 to start a business. In the first two months, expenses amounted to $52,500, and sales came to only $2,500. How much money does Mrs. Owens have going into the third month?
HELP DUE IN 1 Hour!
m∠MYX =?? degrees
° m∠ZMW =?? degrees
Answer:
<ZMW =90
<MYX = 29
Step-by-step explanation:
Remark
A Rhombus has a lot of peculiar properties. One of them is that the diagonals intersect at right angles. That means <ZMW =90 degrees.
Since the angle XMY = 90 degrees, it follows that <MXY + <MYX = 90 degrees because the third angle of the triangle = 90.
<MXY = 61 is given
So 61 + <MYX = 90 Subtract 61 from both sides.
<MYX = 90 - 61
<MYX = 29
m<MYX=29°
m<ZMW=90 diagonal bisect each other perpendicularly
Step-by-step explanation:
m<MYX+m<MXY+m<XMY=180 sum of interior angle of the triangle
here
m<XMY=90° diagonal bisect each other perpendicularly
m<MYX+61°+90°=180
m<MYX=180-151=29°
WILL GIVE BRAINLIEST
The diagonals of a quadrilateral are 12 and 10. Is
this a parallelogram rectangle? Explain your answer
Answer:
the answer is no.a parallelogram is not a rectangular but the opposite is true. the reason is a cause of parallelogram's diagonals.they might not be equal in parallelogram but in rectangular they must be equal.
Step-by-step explanation:
Answer:
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. So yes it is a parallelogram.
Step-by-step explanation:
Diagonals of parallelogram are not necessarily equal. This is a known property of a parallelogram. If all angles are equal, then it means its opposite angles are also equal which is a condition for a quadrilateral to be called parallelogram. If all sides are equal then, opposite sides are also equal.
+
Find the surface area of this cube. Be sure to include the correct unit in your answer.
3 m
3 m
3 m
answer is b.Step-by-step explanation:
Answer:
9m
Step-by-step explanation:
yw
Divide x^4+3x^3-8x^2+5x-9 by x+5
Answer:
x^3−2x^2+2x−5+ 16/x+5
Step-by-step explanation:
Hope this helped
which is a solutiom (x-3)(x + 9)=-27?
Answer:
x = 0, -6
Step-by-step explanation:
(0 - 3)(0 + 9) = (-3)(9) = -27
(-6 - 3)(-6 + 9) = (-9)(3) = -27
Amy buy 6 tickets for a match, 3 adult and 3 children tickets. Each ticket costs £7.27. She gets £2.75 off on each children's ticket. How much does Amy finally pay for 6 tickets?
Answer:
$35.37
Step-by-step explanation:
Answer:
Amy pays £35.37 for 6 tickets
Step-by-step explanation:
since each ticket costs the same amount, we can do 6(£7.27) to find out how much she originally had to pay before she gets £2.75 off on each children's ticket
6(£7.27)=£43.62
now, since she gets £2.75 off on each children's ticket, and there are three children, to find out how much money she got off total:
3(£2.75)=£8.25
finally, we have to subtract £43.62-£8.25 to find the total amount Amy finally pays for 6 tickets
£43.62-£8.25=£35.37
so, Amy pays £35.37 for 6 tickets
Which of the following is true of the values of x and y In the diagram below?
Answer:
There is no photo sorry
Step-by-step explanation:
Alan rented a truck for one day. There was a base fee of $20.99, and there was an additional charge of 84 cents for each mile driven. Alan had to pay $267.11 when he returned the truck. For how many miles did he drive the truck?
Answer:
293 miles
Step-by-step explanation:
(267.11 - 20.99)/0.84 = 293 miles
Answer: my mistake, the answer rightt!!
The face of a fair sided cube are numbered 1-6 based on rhetorical probability if a number cube is rolled 60 times how many times should a 2 be rolled
Answer:
10
Step-by-step explanation:
P(2) = 1/6
1/6 = x/60
x = 10
Find the volume of the sphere r=3
Answer:
113.1 Units
Step-by-step explanation:
4 /3πr^3
Answer:
If u consider Pi as 3.14 the answer would be 113.04 .
Step-by-step explanation:
Hope it was helpful , Good luck .
Help please! This is worth 50 points it'll mean a lot!
between 20 and 5000 characters
What is the measure of angle C?
45°
с
35
B
A 10°
B
80°
C 100°
D
180°
Answer:
100°
since being sum of angles of triangle
Miss Johnson bought a roast that weighed 6lb. 4oz. What was the total cost of the roast if the cost per pound was $4.48.
Answer:
26.88$
Hope this helps :))
What is the total surface area of a regular heptagonal pyramid with a base side length of 7 inches and a slant height of 16 inches.
Answer: Right Regular Pyramid Surface Area = (½ * Perimeter of Base * Slant Height)
Perimeter of Base = 16 inches
Right Regular Pyramid Surface Area = (½ * 16 * 7)
= 56 square inches
Step-by-step explanation: hope this helped
Help me pleaseeee no links
Find the equation of the line shown.
(Please help me)
Answer:
2y=x
Step-by-step explanation:
adding a negative is the same as ______ a positive
A.dividing
B.adding
C.subtracting
D.multiplying
C subtracting a positive
Find the length of the segment indicated.
A) 8.3
C) 9.3
B) 14
D) 10
Answer:
B
Step-by-step explanation:
radius + equivalent tangents
8 divided 2 + (3 x 3 - 2)
Answer:
Step 1.
Step-by-step explanation:
Since You need to do 3 x 3 first, BEFORE 3 - 2, it is incorrect.
Hope that helps!
Answer:
Step 1
Step-by-step explanation:
They are supposed to do 3*3 not 3*1.
at the school book fair, Henry brings $10.00. He purchases a book for $8.50, plus a 6% sales tax. How much money in change will henry receive ?
Answer:
.99
Step-by-step explanation:
He paid $8.50 + 6% sales tax. So
8.50 x .06 = .51
8.50 + .51 = 9.01 total he paid
$10.00-$9.01=.99