Given:
The radii of circles are 14 cm and 7 cm.
To find:
The area of the shaded region.
Solution:
Area of a circle is
[tex]Area=\pi r^2[/tex]
From the given figure, it is clear that
Area of shaded region = Area of larger circle - Area of smaller circle
= [tex]\pi (14)^2-\pi (7)^2[/tex]
= [tex]\dfrac{22}{7}\times 14\times 14-\dfrac{22}{7}\times 7\times 7[/tex]
= [tex]616-154[/tex]
= [tex]462[/tex]
Therefore, the area of the shaded region is 462 sq. cm.
8/m=6/15
use cross multiplying
Answer: m=20
Step-by-step explanation:
Jake earns $12 for each hour worked. The equation y = 12x can be used to model this situation, where x represents the number of hours worked and y represents the total amount earned.
What is the independent variable?
A. The value 12 in the equation
B. The total amount of money earned
C. The number of hours worked
D. Cannot be determined from the given info.
Answer:
it'll be B
Step-by-step explanation:
ive took the test turned out i got it right
what is the slope of a line parallel to the line who's equation is 5x-y=-9?
Answer:
5
Step-by-step explanation:
the slopes will be the same if they are parallel
reagrange the equation to find the gradient
5x-y = -9
y= 5x+9
gradient = 5
How do you find surface area of a pyramid on a prism
need help on this !!!!!
Answer:
17
Step-by-step explanation:
Remark
In this formation, the chords cut each other so that
Equation
(3x - 1) * 3 = 12*(x -2) Remove the brackets.
Solution
9x - 3 = 12x - 24 Add 24 to both sides.
9x - 3 + 24 = 12x - 24 + 24 Combine
9x + 21 = 12x Subtract 9x from both sides
9x - 9x +21 = 12x - 9x
21 = 3x Divide by 3
21/2 = 3x/3
7 = x
Find QR
QR = 12 + x - 2
QR = 10 + 7
QR = 17
help me please I don't understand this lesson
What are two points that represent Justine's function for the yards left to hike in terms of the hours she's spent hiking?
Answer:
(0,320) and (4,0)
Step-by-step explanation:
The question has missing details. So, I've added the complete question as an attachment.
From the question, we understand that:
Justine started when Michael was 320 yards from the top.
This coordinate can be represented as (0,320)
0 represents the time Justine started and 320 represents the number of yards left.
Every minute, Justine covers 80 yards.
This implies that:
At 1 minute, Justine will have: (320 - 80) yards left
At 2 minutes, Justine will have: (320 - 80 - 80) yards left
At 3 minutes, Justine will have: (320 - 80 - 80 - 80) yards left
At n minutes, Justine will have (320 - 80n) yards left
So, possible coordinates are:
[tex](x_1,y_1) = (0,320)[/tex]
[tex](x_2,y_2) = (1,320-80*1) = (1,240)[/tex]
[tex](x_3,y_3) = (2,320-80*2) = (2,160)[/tex]
[tex](x_3,y_3) = (3,320-80*3) = (3,80)[/tex]
[tex](x_4,y_4) = (4,320-80*4) = (4,0)[/tex]
Answer:
Select any two pairs of values from the given table. But, for simplicity, it’s a good idea to select coordinates with integer values. So, two points that represent Justine’s function for the yards left to hike in terms of the hours she’s spent hiking are (1, 270) and (2, 150).
Step-by-step explanation:
Sample Answer
Steven has 1 bag that contains disks numbered 1, 2, 3. He also has a second bag that contains four disks named A, B, C, and D. Construct a sample space of picking one disk randomly for each bag and state the total of outcomes possible
Answer:
Total possible outcomes = 12
{A1 ; A2 ; A3 ; B1; B2;B3;C1;C2;C3;D1;D2;D3}
Step-by-step explanation:
Bag 1 = { 1, 2, 3}
Bag 2 = {A, B, C, D}
Sample space :
Size of bag A * size of bag B
3 * 4
= 12
Two families went to the movies. The Davis family paid $39 for 2 adult
tickets and 3 student tickets. At the same theater, the Tyler family paid $23
for 1 adult ticket and 2 student tickets. What is the price of a student
ticket?
Answer:
$7
Step-by-step explanation:
Let a be the price of the adult ticket and s be the price of the student ticket
That means that:
2a+3s=39
and
a+2s=23
Using elimination
-2(a+2s=23)
-2a-4s=-46
-2a-4s=-46
2a+3s=39
Eliminate a:
-s = -7 ; s = 7
I probably made this so much more complicated than it should be but...
Can somebody help me? Preferably with working out if possible
Answer:
d = 9
Step-by-step explanation:
Given
1 = [tex]\frac{1}{3}[/tex] d - 2 ( multiply through by 3 to clear the fraction )
3 = d - 6 ( add 6 to both sides )
9 = d
Answer:
d=9
Step-by-step explanation:
First we can do same to both side by adding 2 to both sides:
1=1/3d-2
+2 +2
--------------
3 = 1/3d
Then to get the d on its own, we multiply each side by 3
3=1/3d
*3 *3
---------
9=d
Our final answer is 9
a polynomial function with rational coefficients has the given roots. find two additional roots -2i and square root of 10
Answer:
(-2)(100) or 10^2 is 100
Step-by-step explanation:
(x -2)(x+100) =x
Additional roots of polynomial function P(x) with rational coefficients are (2i) and (- √10).
What is conjugate of complex number?
" If z = a +bi be the given complex number, then its conjugate is represented by [tex]\bar{z}[/tex] = a -bi , where real parts remain same only imaginary part get changed with opposite sign."
Theorem used
Conjugate Root theorem
Complex conjugate root theorem states that if P(x) is a polynomial in one variable with real coefficient , for P(x) if one root is a + bi with real numbers a and b then its conjugate that is a - bi is also another additional root of P(x).
According to the question,
Two given roots of polynomial function with rational coefficients are -2i and √10.
As per Conjugate root theorem,
Here one root is 0 - 2i then other root is its conjugate 0 + 2i
Also one root is 0 + √10 then another root is 0 - √10.
Therefore, two additional roots are 2i and -√10.
Hence, additional roots of polynomial function P(x) with rational coefficients are (2i) and (- √10).
Learn more about conjugate of complex number here
https://brainly.com/question/18392150
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Joe's Canoes charges an initial fee of $20 plus $4 an hour. Callie's Canoes charges a flat rate of $14 an hour. For how many hours would both
companies charge the same amount, and what would that charge be?
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
:>
Answer:
Answer: B
Step-by-step explanation:
does not show up on graph
CAN SOMEONE PLEASE HELP THIS IS DUE AT MIDNIGHT (I’ll give brainlist)
Answer:
d° = 62°
e° = 90°
f° = 27°
g° = 27°
h° = 118°
j° = 62°
k° = 63°
Step-by-step explanation:
The relationship between the given angles are;
k° = 63° (Vertically opposite angles)
63° + f° = 90° (Given complementary angles)
∴ f° = 90° - 63° = 27°
f° = 27°
g° = f° (Vertically opposite angles)
∴ g° = f° = 27°
g° = 27°
e° + 63° + f° = 180° (The sum of angles on a straight equals 180°)
∴ e° = 180° - (63° + r°) = 180° - (63° + 27°) = 90°
e° = 90°
h° = 118° (Vertically opposite angles)
118° + d° = 180° (The sum of angles on a straight equals 180°)
∴ d° = 180° - 118° = 62°
d° = 62°
j° = d° (Vertically opposite angles)
∴ j° = d° = 62°
j° = 62°
What is 4(b + 2), if b = 7?
Answer:
the answer would be 36
Step-by-step explanation:
hoped I helped:)
Answer:
Hey mate....
Step-by-step explanation:
This is your answer....
= 4×7+2
= 28+2
= 30
Hope it helps you....
Mark me as the brainliest....
FOLLOW ME....!!!!!!
Give the prime algebraic factorization: 15a2b = _____
Answer:
3a5a2b
Step-by-step explanation:
You can prime factorize 15: 3 x 5
How do you know
the quotient of 639 /
6 is greater than
100 before you actually divide
Answer:
because since the question is 639 / 6
we immediately know that 600 / 6 is 100
639 / 6 = 106.5
Answer:
You just need a little conversion to get the answer.
[tex]\frac{639}{6}=\frac{600}{6}+\frac{39}{6}\\ = 100+\frac{39}{6} >100[/tex]
PLEASE HELP MEE!!!!!!!!!!!!!!!!!!!
Answer:
a b c
plz give branliest
Step-by-step explanation:
Answer:
the first answer choice and the 3rd one down.
I NEED HELP!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
1(
m<1= 62°
2)
m<1=90°
3)
180-70-65=45
m<1= 45°
4)
180-90-30=60
m<1= 60°
what's
[tex] \sqrt{225} [/tex]
Answer:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
15
Step-by-step explanation:
Hope it is helpful....
Answer:
The Square root of 225 is 15
Find the missing angle measure. PLEASE HELP ASAP
Answer:
Angle 1 is 57 degrees
Angle 3 is 57 degrees
Angle 4 is 123 degrees
Step-by-step explanation:
Cause a straight line is 180 degrees and if angle 2 is 123 degress then angle 3 is 57 degrees and i got that by Subtracting 180-123 =57
Then for angles one you do the same maththat you do for finding angle 3
Then for angles 4 subtract 180-57=123
what is x in this equation |x−2| – 7 = –3
Answer:
6
Step-by-step explanation:
Hope this helps
Can you write the sum, and put it in standard form??
Step-by-step explanation:
[tex] \tt{(4 {x}^{3} + 2x + 6) + (2 {x}^{3} - {x}^{2} + 2) }[/tex]
Remove the unnecessary parentheses.
⟶ [tex] \tt{4 {x}^{3} + 2x + 6 + 2 {x}^{3} - {x}^{2} + 2}[/tex]
Combine like terms. Like terms are those which have the same base. Note that only coefficients of like terms can be added or subtracted.
⟶ [tex] \tt{4 {x}^{3} + 2 {x}^{3} + 2x + 6 + 2 - {x}^{2} }[/tex]
⟶ [tex] \tt{6 {x}^{3} + 2 x + 8 - {x}}^{2} [/tex]
As we are asked to write the answer in standard form , we have to rewrite the expression 6x³ +2x + 8 - x² in such a way that the power of the variables goes from highest to lowest.
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{6 {x}^{3} - {x}^{2} + 2x + 8}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
1.9y=11.78 ahhh helppp
Answer:
6.2
Step-by-step explanation:
Divide 11.78 by 1.9. Then you will get 6.2.
Your welcome in advanced.
-YourAverage10YearOld
The point (4,3.5) is the maximum of the profit function.
A.Explain what the point (4,3.5) represents in terms of the context of the graph.
The function shown describes f(x), the cost (in hundreds of thousands of dollars) of making x bicycles (in thousands).
F(x)=1.25+0.35x
B.what is the cost to make 4,000 bicycles? Show your work.
Compare the slope of the cost function with the graph of the profit function.
C. Explain why the company should plan on making fewer than 4,000 bicycles.
Answer:
A. The point represents the turning point of the graph
B. The cost of making 4,000 bicycles is $265,000
The slope of the cost function, F(x) = 1.25 + 0.35·x, is less than the average slope of the graph of the total profit for sales
C. The company should plan on making fewer than 4,000 bicycles, to maximize profit
Step-by-step explanation:
A. The point represents the turning point after which increase in the x-coordinate values leads to a decrease in the y-coordinate values
B. The cost function is presented as follows;
F(x) = 1.25 + 0.35·x
Where;
F(x) = The cost in hundreds of thousands of dollars of making 'x' (in thousands) bicycles
x = The number of bicycles made in thousands
The cost of making 4,000 bicycles is given by plugging in x = 4(thousand) in F(x) = 1.25 + 0.35·x, as follows;
F(x) = 1.25 + 0.35·x
∴ F(4) = 1.25 + 0.35 × 4 = 2.65
Therefore, the cost of making 4,000 bicycles = 2.65 × $100,000 = $265,000
The slope of the cost function, F(x) = 1.25 + 0.35·x, is given by the coefficient of 'x' which is 0.35
The average slope of the graph of the profit function is ((3.5 - 0)/(4 - 0)) = 0.875
The slope of the cost function is less than the average slope of the graph of the profit function taken from the origin to the maximum point of the graph
C. When the company produces 5,500 bicycles, x = 5.5, we have;
F(5.5) = 1.25 + 0.35 × 5.5 = 3.175
The cost is 3.75 × $100,000 = $375,000 and the profit from te graph is $300,000
Therefore, the cost of making the 5,500 bicycles is more than the profit made in sales
The company should plan on making fewer than 4,000 bicycles, to reduce cost of producing more bicycles and to increase profit per unit of bicycle sold
HELP ASAP PLS PLS PLS
Answer: vertical
Step-by-step explanation:
Answer: its A
Step-by-step explanation:
Which is heavier, 4 and a half pounds or 80 ounces
Answer:
80 ounces is heavier by 8 ounces or half a pound
Step-by-step explanation:
1 pound = 16 ounces
4.5*16= 72 ounces
If jon had 2,881 and tia had 4,163 how much more money tia has then jon
Answer:
Tia has $1,282 more than Jon
Step-by-step explanation:
4,163-2881 = 1282
Tia has $1,282 more than Jon
Answer:
1282
Step-by-step explanation:
6. 14.8 divided by 0.08
Answer:
185
Step-by-step explanation:
14.8 / 0.08 = 185
Best of Luck!
Answer:
185
Step-by-step explanation:
next time you get a question like that use symbolab
I need help getting the answer
Answer:
Step-by-step explanation:
The center is at (2,-7). The radius is 2.
(x-2)² + (y+7)² = 2²