Answer:
36x
Step-by-step explanation:
OF= 6x (given radius of circle)
OB=OF+FB
= 6x +6x(given OF=FB)
= 12x
Angle D= angle B and angle O= 60°( given arc EF is 60°)
D + B + O= 180° ( sum of angles in a triangle)
x + x + 60= 180° ( let the value of remaining angles be x and D= B)
2x= 180 -60
x = 120/2
x= 60°
now, triangle DOB is a equilateral triangle because all angles are equal.
so, OB=DB=OD= 12x ( all sides are equal in equilateral triangle)
so,
perimeter of DOB= OB+DB+OD
= 12x+12x+12x
= 36x
follow me if this was helpful
Write an equation of the parabola that passes through the point (46, - 150) and has x-intercepts - 4 and 56 . Then find the average rate of change from x= -4 to x=6.
An equation is y =
The average rate of change is
Answer:
6w83ywytahausjsshshfwgwyee
A school bus is transporting athletes home from an athletics meeting. Of these athletes, 15% took part in hurdles, 20% took part in the long jump event, 35% took part in the relay races, 30% ran the 100m sprint and 25% took part in the high jump event.
Explain how this is possible.
Because some of the athletes participated in more than one event.
What is the Order of Magnitude of the number of pennies equivalent to a quarter?
Answer:
It is mainly used while doing scientific notation. If two numbers differ by one order of magnitude, one is about ten times larger than the other. If they differ by two orders of magnitude, they differ by a factor of about 100.A quarter is 0.25 dollars so the ratio between 1 dollar and a quarter is 1/0.25(it means the dollar and the quarter which is 0.25 dollars) and that equals =4
O is the centre of the circle, EF is a tangent, angle BCE = 28°, angle ACD = 31°
Line AB = line AC
Write down the size of
a) angle BAC
b) angle ABC
c) angle ADC
d) angle COB
Answer
a. 28˚
b. 76˚
c. 104˚
d. 56˚
Step-by-step explanation
Given,
∠BCE=28° ∠ACD=31° & line AB=AC .
According To the Question,
a. the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.(Alternate Segment Theorem) Thus, ∠BAC=28°b. We Know The Sum Of All Angles in a triangle is 180˚, 180°-∠CAB(28°)=152° and ΔABC is an isosceles triangle, So 152°/2=76˚
thus , ∠ABC=76° .
c. We know the Sum of all angles in a triangle is 180° and opposite angles in a cyclic quadrilateral(ABCD) add up to 180˚,Thus, ∠ACD + ∠ACB = 31° + 76° ⇔ 107°
Now, ∠DCB + ∠DAB = 180°(Cyclic Quadrilateral opposite angle)
∠DAB = 180° - 107° ⇔ 73°
& We Know, ∠DAC+∠CAB=∠DAB ⇔ ∠DAC = 73° - 28° ⇔ 45°
Now, In Triangle ADC Sum of angles in a triangle is 180°
∠ADC = 180° - (31° + 45°) ⇔ 104˚
d. ∠COB = 28°×2 ⇔ 56˚ , because With the Same Arc(CB) The Angle at circumference are half of the angle at the centre
For Diagram, Please Find in Attachment
Please help if you know how to solve it
Thank you!
Answer:
opsihsjijjakih
Step-by-step explanation:
jiompzjksuik
Determine whether the given triangles are congruent
Answer:
Yes they are congruent and it is explained below
Step-by-step explanation:
There are 5 postulates when testing for congruency and they are;
SSS, SAS, ASA, AAS and HL.
S represents side
A represents angle
H represents hypotenuse
L represents leg
Now, in this our question, we can see that the 3 angles and the three sides of both triangles are equal to each other.
Thus, we can make use of SSS postulate whereby we say the 3 sides of the first triangle are equal to the 3 sides of the second triangle.
Thus, they are congruent.
Jason and Donny painted a house and received $1.200. To complete the painting job Jason painted 4 hours 25 minutes and Donny spent 2 hours and 15 minutes. If they split the $1.200 in proportion to the amount of time each spent painting, how much did Donny receive?
Answer:
$405
Step-by-step explanation:
Total hours = 4 hrs 25 min + 2 hrs 15 min = 6 hrs 40 min = 400 min
4 hrs 25 min = 265 minutes
2 hrs 15 min = 135 min
Donny's share = [tex]\frac{135}{400} of 1200[/tex]
[tex]=\frac{135}{400}*1200=135*3\\\\= 405[/tex]
Can someone check tell me why 1) is correct and why 2) is incorrect?!
Willing to give brainliest
Answer:
1) yes
2) no
Step-by-step explanation:
1)
[tex]\frac{1}{2} *\frac{2}{2}=\frac{2}{4}[/tex]
This is correct because 1 time 2 equals 2 and 2 times 2 equals 4.
2)
[tex]\frac{1}{2} * \frac{?}{?}= \frac{4}{6}[/tex]
[tex]\frac{1}{2} *\frac{4}{3} =\frac{4}{6}[/tex]
This is incorrect because the numerator multiplied is different from the denominator multiplied.
-------------------------------
[tex]\frac{1}{2}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{4}{8}[/tex] = [tex]\frac{5}{10}[/tex] = [tex]\frac{6}{12}[/tex] ...
Sorry I didn't know how to explain that much but I hope you understand.
A petrol can is a rectangular prism with base measurements 15 cm by 30 cm. If the can has capacity 18 liters, find its height.
Answer:
40
Step-by-step explanation:
The first step is to calculate the base area of the prism
= 15×30
= 450
The volume is then calculated as follows
= 450×h
= 450h
The capacity is 18 liters
= 18×1000
= 18,000
Therefore the height of the rectangular prism can be calculated as follows
450h= 18,000
h= 18,000/450
= 40
Hence the height is 40 cm
Find the distance between the pair of points given on the graph.
Answer:
√74
Step-by-step explanation:
49 + 25
if brainly deletes this answer, i swear this community is going down in the dumps
Answer:
[tex]\sqrt{74}[/tex] = 8.6
Step-by-step explanation:
use distance formula
points are (4,2) and (-3,-3)
d= [tex]\sqrt{(x_{2}-x_{1) ^{2} + (y_{2} -y_{1} )^{2} }[/tex]
substitute points into formula
Solve the following system of equations using all three methods. Must show your work. 4x + y = 2 3x - 3y = 9
Part A: Solve by graphing.
Part B: Solve by substitution.
Part C: Solve by elimination.
Describe the process and steps you used to solve each method.
Answer:
Step-by-step explanation:
you do part a
Equation 1: 4x+y=2
Equation 2: 3x-3y=9
b
Divide equation 2 by 3
x-y=3
add y to both sides
x=3+y
Sbustitute this into equation 1
4(3+y)=2
12+4y+y=2
5y= -10
y= -2
Plug this into equation 1
4x-2=2
x=1
Part c.
Equation 1: 4x+y=2
Equation 2: 3x-3y=9
divide equation 2 by 3
x-y=3
add the two equations
(x-y)+(4x+y)=2+3
5x=5
x=1
Plug this into equation 1
4(1)+y=2
4+y=2
y= -2
For part a just create a table and graph it
Please help me the picture is above I’ll mark as brainliest. I really need the answer
the quotient of 4 divided by 7 is a decimal number. how many digits in the quotient are overlined?
Answer:
6 digits.
Step-by-step explanation:
The repeating numbers after the decimal is 571428.
no links please i cant seem to find the answer for this qn
Answer:
(a) is 15
(b) is 30
75 divide by 15 times 90 divide by 15 is 30
Answer:
Step-by-step explanation:
Highest common factor of 75 and 90 will be the largest possible length of the square.
75 = 5 * 5 * 3
90 = 3 * 3 * 2 * 5
GCF = 5 * 3 = 15
Length of the side of square = 15 cm
b) Number of squares = Area of sheet ÷ Area of square
[tex]= \frac{75*90}{15*15}\\\\= 5 * 6\\\\= 30[/tex]
Total number of square = 30
ute of Change
What is the vertical change from Point A to Point B?
What is the horizontal change from Point A to Point B?
What is the rate of change shown on the graph? Give
the answer as a decimal rounded to the nearest tenth,
if necessary
Answer:
1
2
0.5
Step-by-step explanation:
expand (y+1)(y-4) !!!!!!
Answer:
Step-by-step explanation:
y^2 - 4y + y - 4
y^2 - 3y - 4
If you get paid 30.00 per hour and you worked 8.5 hours how much do you get paid
Answer:
About 255
Step-by-step explanation:
$30 x 8.5= $225
The product of a number, x, and 18 is 113.4.
Which equation and value of x represent this relationship
Answer:
Step-by-step explanation:
x * 18 = 113.4
x = 6.3
What is the slope-intercept form of the equation representing this function?
Answer:
y = 3x - 7
Step-by-step explanation:
The line rises 3 in y for every run of 1 in x
slope = 3
The y-intercept
is -7
Therefor
y = 3x - 7
what is the total cost for an item that costs $140.00 and has a sales tax rate of 7.5%
Answer:
$150.5
Step-by-step explanation:
CP of an item = $140
sales tax rate = 7.5%
sales tax amount = sales tax rate of CP
=7.5% of CP
= 7.5/100 * $140
=$1050/100
=$10.5
total cost with tax = CP + tax rate
=$140 + $10.5
=$150.5
Select the correct answer. Which statement describes ? A. It is an irrational number. B. It is a rational number that has a repeating decimal expansion. C. It is a rational number that has a terminating decimal expansion. D. It is not a rational number because it is negative.
Answer:
the answer is c okay g;)
Step-by-step explanation:
hope this helps
Write an equation in slope-intercept form for the line with slope 5 and y-intercept -2.
Answer:
y = 5x - 2
Step-by-step explanation:
A 95% confidence interval is (70,110). what is the margin for error? A. 19 B.38 C.20 D.40
Answer:
C.20
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the difference between the two bounds, divided by 2.
In this question:
Lower bound: 70
Upper bounf: 110
Margin of error:
[tex]M = \frac{110 - 70}{2} = \frac{40}{2} = 20[/tex]
Thus the correct answer is given by option C.
Math help please show work I will mark Brainlist if correct
Answer:
Step-by-step explanation:
(1).
(a). 1 m ≈ 3.28 ft.
128 m ≈ 419.84 ft.
(b). 1 yd. ≈ 0.0009144 km
3910 yd. ≈ 3.58 km
(2). 1 m ≈ 0.0006214 mi.
10 000 m ≈ 6.2 mi.
The point (3,-7) lies on a circle and the center of the circle is at (-2,-7). What is the equation of this circle
Step-by-step explanation:
the answer is in the above image
Pls answer both Pls pls
Answer:
bjkfkvdvdejij
Step-by-step explanation:
22333444 ijdcijsivjdivdvndk snciscicicnlvjavjadvj
what is the value of w to the nearest degree
According to exponent rules, when we multiply two power with the same base we _______ the exponents. Example: c^6⋅ c^4
Answer:
Step-by-step explanation:
According to exponent rules, when we multiply two power with the same base we ADD the exponents.
[tex]c^{6}*c^{4} = c^{6+4} = c^{10}[/tex]
Which sequence is arithmetic? A- 2,6,18,54... B- 3,6,12,24... C- 11,14,17,20... D- 7,11,13,18
I think B. 3,6,12,24 is the answer
Answer:
C
Step-by-step explanation:
the pattern is add 3
11 + 3 = 14
14 + 3 = 17
17 + 3 = 20
How many solutions exist for the system of equations in the graph?
Answer:
Two solutions
Step-by-step explanation:
The number of points of intersections represents the number of solutions to the system of equations. Since the parabola intersects the circle at two points, there are two solutions to the circle.
Furthermore, these two points of intersection are exactly the solutions to the system of equations. Finding the coordinates of the points of intersection will give you the solutions to the system of equations.