the diagram shows a circle centre o. work out the value of a
Answer:
a = 49°
Step-by-step explanation:
From the figure attached,
In ΔBOC,
OB = OC = Radii of the circle O
Therefore, m∠OBC = m∠OCB = 41° [Opposite angles of the equal sides of a triangle]
By triangle sum theorem,
m∠OBC + m∠OCB + m∠BOC = 180°
41° + 41° + m∠BOC = 180°
m∠BOC = 180° - 82°
= 98°
Since, "angle subtended by an arc at the center is twice the angle subtended at the circumference",
m∠BOC = 2(m∠BAC)
98° = 2(a)
a = 49°
Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.
Answer:
8736
Step-by-step explanation:
The LCM of 156 and 224
First find the highest common factor between the two number
156 = 4 * 39
224 = 4 * 56
Since 4 is the highest common factor between both numbers, the LCM of 156 and 224 will be the product of the highest common factor and the other multiples that are left when the numbers are divided by the highest common factor.
As such, the LCM of 156 and 224
= 4 * 39 * 56
= 8736
Answer:
8736
Step-by-step explanation:
The LCM of 156 and 224
First find the highest common factor between the two number
156 = 4 * 39
224 = 4 * 56
Since 4 is the highest common factor between both numbers, the LCM of 156 and 224 will be the product of the highest common factor and the other multiples that are left when the numbers are divided by the highest common factor.
As such, the LCM of 156 and 224
= 4 * 39 * 56
= 8736
can yalll help me with this is due today
Answer:
the answer is axis of symmetry
Step-by-step explanation:
symmetry technically means perfectly in half. one side is the same as the other.
Please help I’ll give a brainliest!
Answer:
B
Step-by-step explanation:
3+4 = 7
1. You and a friend go to Super Taco after school. You order three soft tacos and
two burritos and pay $11. Your friend pays $8 for four soft tacos and one burrito.
How much do soft tacos cost?
How much do burritos cost?
Answer:2 dollars for soft tacos and 1.50 for burritos
Step-by-step explanation:
Subtract the polynomials
32h+24=-3h-11h what is the solution
Answer:
h = -12/23
Step-by-step explanation:
Combine like terms:
32h + 24 = -3h - 11h
32h + 24 = -14h
Subtract 24 from both sides of the equation:
32h + 24 = -14h
32h + 24 - 24 = -14 h - 24
Simplify:
32h = -14h - 24
Add 14 to both sides and then you simplify. This will give you the answer -12/23. Good luck!!
An actor was paid $2.1 x 10^6 (this an exponent) to star in a movie. If the
movie was 1 hr 45 min long, what was the actor's salary
per minute? Give your answer standard form.
Answer:
Step-by-step explanation:
one hour and 45 min=60+45=105 minutes
2.1x 10^6=210x 10^4 , i multiplied 2.1 by 100
210 x 10^4/105=2 x10^4=20,000/min
What is the surface area of this shape?
Step-by-step explanation:
surface area if pyramid=area of base+combined area of lateral faces.
area of base=8×8=64
combined area if lateral faces=area of one triangle:area=base×height
=8×12=96
Total surface area=64+96
=160m square
Answer:
SA = 254
Step-by-step explanation:
Equation for a Pyramid (Surface Area) is : 2bs + b^2
2(8)(12) + [tex]8^{2}[/tex] =
16 (12) = 192 and 8^2 = 62
192 + 62 = 254
I hope I helped ;)
Tell weather each equation can be written in the from y=mx+b. Write yes or no
Answer:
3.No 4.Yes 5.Yes
Step-by-step explanation:
Answer:
no....yes y=x+4.......yes y=-2x+3
In a fish tank there are 10 clown fish, 4 angel fish, 6 puffer fish, and 5 eels. What is the probability of scooping out a clown fish on the second scoop after scooping out a clown fish on the first scoop and not replacing it
Answer:
3/8
Step-by-step explanation:
Given that
Number of clown fish = 10
Number of Angel fish = 4
Number of Puffer fish = 6
Number of Eels = 5
From the above, there exists 10 + 4 + 6 + 5 number of fishes
There exists 25 number of fishes.
Probability of picking a clown fish then is
C = 10 / 25
If the clown fish picked isn't replaced, then there exists 9 clown fishes, and 24 total fishes. This, the probability of picking another clown fish is
C = 9 / 24
C = 3 / 8
Thus, the answer is 3/8
There are six nickels and six dimes in your pocket. Five of the nickels and two of the dimes are Canadian. The others are US currency. You randomly select a coin from your pocket. What is the probability it is Canadian currency
Answer and Step-by-step explanation:
There are 12 coins in total, and we are told that 5 are Canadian nickels and 2 are Canadian dimes. That is 7 Canadian coins.
So, 7 out of 12.
[tex]\frac{7}{12}[/tex] is the answer.
#teamtrees #WAP (Water And Plant)
A soccer ball has a mass of about
425 grams. A softball has a mass
of about 184 grams. What is their
total mass?
Answer:
609g
Step-by-step explanation:
425+184=609
Answer:
609
Step-by-step explanation:
425+184=609
So the answer is 609
Megan has 5/6 of a box of raisins. She gave 1/2 of those raisins to her friend. Megan say she gave 2/6 of the box of raisins to her friend. What is Megan's mistake?
IREADY HELP
PLS HELP IM TIMED!!
The senior classes at high school A and high school B planned separate trips to the county fair. The senior class at high school a rented and filled one van and 7 buses with 197 students. High school B rented and Filled 12 vans and 1 bus with 123 students. each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
-van 27 bus 8
-van 8 bus 27
-van 9 bus 27
-van 7 bus 29
Answer:
Van 8 and bus 27
Step-by-step explanation:
v+7b=197
12v+b=123 b=123-12v
v+7(123-12v)=197
v+861-84v=197
664=83v
v=8
8+7b=197
7b=181
b=27
Flavia bought a pair of rollerblades. The regular price was 129.50. They were bought for 40% off and the sales tax was 15%. Show all the steps...
Answer:
Here u go
Step-by-step explanation:
1. 40/100 × 129.50 = 51.80
2. 129.50 - 51.80 = 77.70
3. 15/100 × 77.70 = 11.66
4. 77.70 + 11.66 = 66.04
The final cost of the roller blades is $ 89.66
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total cost of purchase be = A
Now , the initial cost of roller blades = $ 129.50
The discount percentage of roller blades = 40 %
So , the equation will be
The cost of the roller blades after discount = 129.50 - ( 40/100 ) x 129.50
= 129.50 - 51.8
= $ 77.7
Now ,
The sales tax percentage of roller blades = 15 %
So , the equation will be
The cost of roller blades after sales tax = 77.7 + ( 15/100 ) x 77.7
= 77.7 + 11.655
= $ 89.655
Therefore , the final cost is A = $ 89.66
Hence , The final cost of the roller blades is $ 89.66
To learn more about equations click :
https://brainly.com/question/10413253
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Veronica wants to calculate her net pay at her new job. Her weekly paycheck is $229.09. She has the following deductions: Social Security tax, Medicare tax, $64.14 federal withholding tax, $29.78 state withholding tax. Calculate her net pay after deductions.
Answer:
whats the answer
Step-by-step explanation:
Adjacent Angles:
Answer:
Hey there!
Adjacent angles are two angles that are connecting, or adjoining. They have a common vertex and a common side, but they DO NOT overlap.
Hope it helps and have a great day!!!!
I NEED THIS NOW PLEASE
Casey wants to buy a gym membership. One gym has a $120 joining fee and costs $40 per month. Another gym has no joining fee and costs $70 per month. When would Casey pay the same amount to be a member of either gym? How much would he pay?
The dollar general sales hand towels in sets of 12 and bath towels in sets of 4 if the store sold the same number of each type of towel. what is the smallest number of sets of each type of towel that the store most have sold?
Can y’all please help ASAP.
A fish is located 5 feet below sea level.
A bird is flying 10 feet above sea level.
A shark is swimming at 18 feet below sea level.
A balloon is floating at 7 feet above sea level.
What is the furthest from sea level (zero)?
Answer: A shark is swimming at 18 feet below sea level.
Step-by-step explanation: because it just asked that which one is the furthest from sea level it don’t say above zero or below zero!
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Step-by-step explanation:
angles in a triangle add up to 180degree
3x + 36 + 90 = 1803x =180 - 30 - 903x = 60 divide through by 3 givesx = 20degreeTherefore x =20°need a quick answer please
Answer:
8 fits the equation
Step-by-step explanation:
hope this helps
can you please answer this? i dont understand
Answer:
Unit rate= constant change or slope Take two points: we see that as gallons increase per 2 gallons then the increase is 31 milesHence unit rate is 31/2 or 15.5Try the next one! As for any help!!PLEASE HELP I WILL GIVE BRAINALIST
Answer:
They each paid $40
Step-by-step explanation:
please give brainliest
only pick one
which inequality is true?
a. |-15|>|-19|
b.|-16|<|13|
c.|-15|>|12|
d.|12|<|-8|
e.|-19|>|-20|
Answer:
C
Step-by-step explanation:
Absolute value makes anything in it positive, as distance from 0 can only be positive. So if we apply that to every term, we can find the answer.
For a, simplify and it becomes 15>19. That's false
For b, simplify and it becomes 16<13. Also false
For c, simplify and it becomes 15>12. True
For d, simplify and it becomes 12<8. False
For e, simplify and it becomes 19>20. Very False.
So the only true one is C. So C is the answer.
Hope this helped.
Step-by-step explanation:
the answer is C |-15|>|12|
A hammock that hangs between two trees makes a parabola shape that has the equation y = 0.4(x- 3)² +1, where x is the distance from one end and y is the height above the ground, measured in meters.
A. What is the lowest point of the hammock?
B. If the hammock is attached to both trees at the same height, how far away are the trees from one another?
Answer:
A. The lowest point of the hammock is at the point 1 meters above the ground and 3 meters from one end of the hammock
B. The two trees are 6 meters away from one another
Step-by-step explanation:
The given equation of the parabola representing the hammock is as follows;
y = 0.4·(x - 3)² + 1
The general equation of a parabola is a·(x - h)² + k;
Where the coordinates of the vertex point of the parabola, which is the lowest (or highest, furthest) point on the vertex is (h, k) = (3, 1)
Therefore, we have;
A, The coordinates of the lowest point on the hammock is (3, 1)
Therefore, the lowest point of the hammock is at 1 meters above the ground and 3 meters from one end of the hammock
B. Given that the distance from one end is "x", we have;
The height at which the hammock is attached is given as the point where x = 0 as follows;
Given that the vertex of the parabola represents the axis of symmetry of the parabola, we have that the horizontal distance from one end of the hammock to the vertex point of the parabola that the hammock forms is (3 - 0) meters = 3 meters
Therefore, by the definition of symmetry, the distance from the vertex point to the other end of the parabola that the hammock forms is also 3 meters
From which we have, the distance the two trees are from one another is 3 meters + 3 meters = 6 meters.
Point M is between points L and N on LN. LN
6x, LM 4x + 8, and
MN 27. Use the information to solve for x, and then find LN.
Answer:
Step-by-step explanation:
4x+8 27
L-------------M-------------------------N
<------------------ 6x -------------------->
LM = 4x+8
MN = 27
LN = 6x
LM + MN = LN
4x+8 + 27 = 6x
35 = 2x
17.5 = x
LN = 6x = 6(17.5) = 105
The correct answer to the question is: x = 17.5, LN = 105
From the question given above, we obtained the following:
LN = 6x
LM = 4x + 8
MN = 27
x =? LN =?The value of x can be obtained as follow:
LN = LM + MN
6x = 4x + 8 + 27
6x = 4x + 35
Collect like terms
6x – 4x = 35
2x = 35
Divide both side by 2
x = 35 / 2
x = 17.5Finally, we shall determine the value of LN.x = 17.5
LN =?
LN = 6x
LN = 6(17.5)
LN = 105SUMMARY:x = 17.5LN = 105Therefore, the correct answer to the question is: x = 17.5, LN = 105
Learn more: https://brainly.com/question/17713975
Solve for x:
−8+(x7)=−10
Select one:
x=−14
x=−4
x=−3
x=14
Answer:
The correct answer is, x=−1.104090
which is near to 3.
so the answer is 3.
a map is drawn using a scale of 1cm/80 mi. two cities are 280 miles apart
how far apart are the cities on the map
Answer:
the cities are 3.5 cm apart.
Step-by-step explanation:
all you have to do is divide 280/80