In a pie chart the central angle in degrees at the center of the circle is a) 180 b) 360 c) 270 d) 90
Answer:
(b) 360 degrees
Step-by-step explanation:
Required
The central angle
The central [tex]angle[/tex] of a circle is [tex]360^o[/tex]. This implies that the central [tex]angle[/tex]of the pie chart is also [tex]360^o[/tex], because a pie chart is always in [tex]form[/tex] of a [tex]circle.[/tex]
in the circl below, AD is diameter and AB is tangent at A. Suppose mADC=228*, find the measures of mCAB and mCAD. Type your numerical answers without units in each blank.
Given:
AD is diameter of the circle, AB is the tangent, and measure of arc ADC is 228 degrees.
To find:
The [tex]m\angle CAB[/tex] and [tex]m\angle CAD[/tex].
Solution:
AD is diameter of the circle. So, the measure of arc AD is 180 degrees.
[tex]m(arcADC)=m(arcAD)+m(arcDC)[/tex]
[tex]228^\circ=180^\circ+m(arcDC)[/tex]
[tex]228^\circ-180^\circ+=m(arcDC)[/tex]
[tex]48^\circ+=m(arcDC)[/tex]
The measure inscribed angle is half of the corresponding subtended arc.
[tex]m\angle CAD=\dfrac{1}{2}\times m(arcDC)[/tex]
[tex]m\angle CAD=\dfrac{1}{2}\times 48^\circ[/tex]
[tex]m\angle CAD=24^\circ[/tex]
AB is the tangent. So, [tex]m\angle BAD=90^\circ[/tex] because radius is perpendicular on the tangent and the point of tangency.
[tex]m\angle BAD=m\angle CAB+m\angle CAD[/tex]
[tex]90^\circ=m\angle CAB+24^\circ[/tex]
[tex]90^\circ -24^\circ=m\angle CAB[/tex]
[tex]66^\circ=m\angle CAB[/tex]
Therefore, [tex]m\angle CAB=66^\circ[/tex] and [tex]m\angle CAD=24^\circ[/tex].
Find the rate, or percent, for each of the following items. Round your answers to the nearest 0.1%.
Base 72; percentage 12
Percentage 28; base 224
Base 20; percentage 40
Base 44; percentage 99
Percentage 126; base 8400
Answer:
The percentages are as follows: 1) 16.6%, 2) 12.5%, 3) 200%, 4) 225%, and 5) 1.5%.
Step-by-step explanation:
To find the rate, or percent, for each of the following items, the following calculations must be performed:
1) Base 72; percentage 12 = 12/72 = 0.1666 x 100 = 16.6
2) Percentage 28; base 224 = 28/224 = 0.125 x 100 = 12.5
3) Base 20; percentage 40 = 40/20 = 2 x 100 = 200
4) Base 44; percentage 99 = 99/44 = 2.25 x 100 = 225
5) Percentage 126; base 8400 = 126/8400 = 0.015 x 100 = 1.5
Therefore, the percentages are as follows: 1) 16.6%, 2) 12.5%, 3) 200%, 4) 225%, and 5) 1.5%.
Answer:
Step-by-step explanation:
what are important of mountain ?
Answer:
hlw its jess
your answer is here
Mountains are particularly important for their biodiversity, water, clean air, research, cultural diversity, leisure, landscape and spiritual values.Step-by-step explanation:
hope it may help you
mark as brainlist please4x-5y+2x+4+6+9y+7x+2
Answer:
[tex]13x+4y+12[/tex]
Step-by-step explanation:
Combine all the like terms & then solve:
[tex](4x+2x+7x)+(-5y+9y)+(4+6+2)[/tex]
[tex]13x+4y+12[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 13x + 4y + 12}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]4x - 5y + 2x + 4 + 6 + 9y +7 x + 2[/tex]
Combining like terms, we have
= [tex] \:( 4x + 2x + 7x ) + (9y- 5y )+ (4 + 6 + 2)[/tex]
= [tex] \: 13x + 4y + 12[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
6x - 5y = 70
7x + 2y = 66
Answer:
(10,-2) x=10 y=-2
Step-by-step explanation: I used substitution
solve the missing side in the right triangle below
Answer: the root of 145 so b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Use the Pythagorean theorem:
a^2 + b^2 = c^2
9^2 + 8^2 = c^2
81 + 64 = c^2
144 = c^2
[tex]\sqrt{144}[/tex] = c
Remember, C is always the hypotenuse, or the longest side. A and B can be either base.
Help pleaseee Thankyou so much!
Answer:
b = [tex]\frac{2A}{h}[/tex]
Step-by-step explanation:
Given
A = [tex]\frac{1}{2}[/tex] bh ( multiply both sides by 2 to clear the fraction )
2A = bh ( isolate b by dividing both sides by h )
[tex]\frac{2A}{h}[/tex] = b
=0.56x−0.25n=0.20x−0.03
m
=
0
.
56
x
-
0
.
25
n
=
0
.
20
x
-
0
.
03
Find the sum of m and n. Show all work of explain how you solved
Given:
[tex]m=0.56x-0.25[/tex]
[tex]n=0.20x-0.03[/tex]
To find:
The sum of m and n.
Solution:
We have,
[tex]m=0.56x-0.25[/tex]
[tex]n=0.20x-0.03[/tex]
The sum of m and n is:
[tex]m+n=(0.56x-0.25)+(0.20x-0.03)[/tex]
Combining the like terms, we get
[tex]m+n=(0.56x+0.20x)+(-0.25-0.03)[/tex]
[tex]m+n=(0.76x)+(-0.28)[/tex]
[tex]m+n=0.76x-0.28[/tex]
Therefore, the sum of m and n is [tex]m+n=0.76x-0.28[/tex].
Find the value of L in the equation.
s=(n÷2)(a+L)
Answer:
2s/n-a=L
Step-by-step explanation:
So first we divide (n÷2) so it will be s/(n÷2) =a+L. Next we subtract L and get s/(n÷2)-a. That's not it yet, since 2 is being divided in the denominator, we have to reciprocal it meaning multiply, it to the top value. So it would 2s/n-a=L. But you can just leave it like that if you desire and your teacher doesn't mind.
Alana, a talk show host, invited The studio audience to voice their opinions on raising The driving age. Of the 10 audience members who chose to speak, seven of them were against the idea. Is this sample of the audience members likely to be biased. Yes or no please help fast !!!
Answer:
they might be since they could be like 16 and if it was raised they couldn't drive any more
Answer:
Yes, there is a high chance that this sample is biased since our pool of participants is not random.
Step-by-step explanation:
The population from which the talk show host drew is not representative of the entire country's population. Being a part of the live studio audience, these viewers are not considered a random sample and may be influenced by the opinions of the talk show due to response bias, specifically a desire to please bias.
What is the surface area of this cone?
A) 161pi ft^2
B) 49pi ft^2
C) 112pi ft^2
D) 125pi ft^2
Answer:
I think it's C. cause I multipled 16 by 7
When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a ____________of the given expression.
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
=> Factor.
When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a factor of the given expression.
[tex] \sf \: It's \: called \: a \: \boxed{\underline{\bf \: factor}}[/tex]
When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a [tex]\boxed{\underline{\bf \: factor}}[/tex]of the given expression.
Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answer:
Ty
Step-by-step explanation:
the
al speed
the time.
Sundeep travels by train to a meeting in Barcelona.
Barcelona is 270 km from where he lives. He catches the train
at 9:45 a.m. The train travels at an average speed of 120 km/h.
At what time will the train arrive in Barcelona?
Answer:
Sundeep will arrive in Barcelona at 12pm
please help me with this maths equation .
Answer:
2 words
Step-by-step explanation:
Scalene (D)
Obtuse-angled (E)
can someone answer fast please bc i have a test
Answer:
36 degrees
Step-by-step explanation:
Angles on a line equal 180
180-117=63
a=63
Angles in a triangle equal 180
180-(63+81)=36
b=36 degrees
Answer:
a=117(being straight line angle)
a=180-117
a=63ans
a+b+81=180(being the sum of the angle of triangle)
b+63+81=180
b+144=180
b=180-144
b=36ans
4.2kg of oranges are £8.76. How much does 2kg cost
Answer:
x = 4.17
Step-by-step explanation:
We can use a ratio to solve
4.2 k 2 k
---------------- = ---------------
8.76 x
Using cross products
4.2 * x = 2 * 8.76
4.2x =17.52
Divide by 4.2
x=4.17
Answer:
2kg cost £4.18
Step-by-step explanation:
4.2 kg of oranges cost £8.76
:. 1 kg of orange cost £8.76/4.2 = £2.09
2kg cost 2 × £2.09 = £4.18
What is the volume, in cubic feet, of a rectangular prism with a height of 2 feet, a
width of 10 feet, and a length of 17 feet?
Answer: 340
Step-by-step explanation: It would follow the basic volume formula w*l*h so filling in the values gets us (10)*(17)*(2) and multiplying them out gets us 340.
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Answer:
what-
Step-by-step explanation:
Mila is a teacher and takes home 31 papers to grade over the weekend. She can grade at a rate of 8 papers per hour. Write a recursive sequence to represent how many papers Mila has remaining to grade after working for n hours.
Helppp me please asapppp
Answer:
y=-2/7x-2
Step-by-step explanation:
Just move the 2x to the other side, then divide both sides by 7.
120 to 150 find the percentage of increase
Answer:
25%
Step-by-step explanation:
increase by = 150 - 120
=30
increase percent = 30/120 * 100%
=3000/120
=25 %
Answer:
25%
Step-by-step explanation:
Percentage increase=(new value-original value)/(original value) x 100%
Percentage increase=(150-120)/120 x 100%
Percentage increase=30/120 x 100%
Percentage increase=1/4 x 100%
Percentage increase=25%
What is the range of the relation (-2, 4), (3,-2), (1, 0), (5,5)?
A. {-2, 3, 1,5}
B. {4,-2, 0,5}
C. {-2, 4, 5, -2}
D. {-2,-1, 0, 5}
Is it D?
Answer:
A.{-2,3,1,5 } or D. {-2, -1, 0,5}
Which answer can be used to find the solution to the system of equations?
Answer: is b
Step-by-step explanation:
Of the $77.84 direct-deposited from Problem 3, you have 50% placed into a savings account. How much is deposited in the saving account each month?
Answer:
38.92 dollars
Step-by-step explanation:
The volume of the rectangular prism is how many cubic centimeters
Answer:
The volume of each cube is one cubic centimetre so the volume of the rectangular prism above is 60 cubic centimetres, or 60 cm3.The volume of each cube is one cubic centimetre so the volume of the rectangular prism above is 60 cubic centimetres, or 60 cm3.
Help! Will mark brainliest!!!!
Answer:
(6x²+13x+6) ÷ (2x+3) sq in
Step-by-step explanation:
Volume = base × height
6x³+13x²+6x = (2x²+3x)h
Divide both sides by (2x²+3x)
(6x³+13x²+6x) ÷ (2x²+3x) = (2x²+3x)h ÷(2x²+3x)
By Factorization
x(6x²+13x+6) ÷ x(2x+3) = h
h= (6x²+13x+6) ÷ (2x+3)
Therefore the height of the prism is (6x²+13x+6) ÷ (2x+3) sq in
I Need Help please can I borrow your time
[tex]\longrightarrow{\blue{ C. \: 2 {x}^{2} + 4x - 30 = 0 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{6}{x} = \frac{2x + 4}{5} [/tex]
[tex] \: 6 \times 5 = x \: (2x + 4)[/tex]
➺ [tex] \: 30 = 2 {x}^{2} + 4x[/tex]
➺ [tex] \: 2 {x}^{2} + 4x - 30 = 0[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
can you help me get the answer for this Q, please :)