Answer:
a)11cm
b)49.5cm²
Step-by-step explanation:
to find the perimeter you use the formula
o/360×2piR
since 2pi R=18pi cm,to find the radius you cancel pi from both sides 2r/2=18/2...so the radius is 9cm
therefore the perimeter will be:
70/360×2×22/7×9
27720/2520
=11cm
then to find the area you say
o/360×pi R²
70/360×22/7×9²
124740/2520
=49.5cm²
I hope this helps
What is the slope of the line through (-10, 1) and (0, -4)?
Answer:
-1 / 2.
Step-by-step explanation:
The Slope of a line when given two points:
First establish the two points as (X1, Y1) and (X2,Y2)
you can decide which point is (X1, Y1) and which point is (X2,Y2) in any order
So I choose (X1, Y1) = (-10,1) and (X2,Y2) = (0,-4)
Next use this equation to find the difference in rise/run (rise over run): (Y2 - Y1) / (X2 - X1)
Now we're ready to solve by plugging in our points: ( (-4) - 1 ) / ( 0 - (-10) ) **DON'T FORGET negatives attached to numbers when plugging in**
Solve: (-5) / 10 = -5 / 10 or -1 / 2 reduced by taking out a 5 from top and bottom. So your slope is equal to -1 / 2.
Answer:
-1/2
Step-by-step explanation:
Find the area of the rhombus
Can someone please take the time out of their day and help me with this
Two weeks ago,a bookstore sold 120 books Last,week,it sold 138 books.find the percent of increase in sales?
Answer:
15%
Step-by-step explanation:
[tex]\frac{138}{120}[/tex]×100=
1.15
115%
Increase in 15%
Out of all the multiple choice which one is true for this diagram
b. gh is a perp. bisector .
Mrs. Adenan sold 63 bracelets at one craft fair and 36 bracelets at a second craft fair. Which expression correctly applies the distributive property to show equivalent expressions for the total number of bracelets she sold?
63 + 36 = (3) (21) + (9) (4)
63 + 36 = (7) (9) + (12) (3)
63 + 36 = 9 (7 + 4)
63 + 36 = 3 (21 + 9)
Answer:
if im correct the answer is 63 + 36 = 9 (7 + 4)
Step-by-step explanation:
Answer:
The guy above was correct! I hope people see this so that they can trust the provided answer above.
Step-by-step explanation:
Hey Guys!
Try to solve this maths question.....
[tex]a + b + c = 4 \\ {a}^{2} + {b}^{2} + {c}^{2} = 10 \\ {a}^{3} + {b}^{3} + {c}^{3} = 22 \\ {a}^{4} + {b}^{4} + {c}^{4} = ? [/tex]
Don't copy from web and Don't spam
Need answer as well as explanation
Thank You!
Use the multinomial theorem to compute some polynomial expansions:
(a + b + c)² = a² + b² + c² + 2 (ab + ac + bc)
(a + b + c)³ = a³ + b³ + c³
… … … … … … + 3 (a²b + a²c + ab² + b²c + ac² + bc²)
… … … … … … + 6 abc
(a + b + c)⁴ = a⁴ + b⁴ + c⁴
… … … … … … + 4 (a³b + a³c + ab³ + b³c + ac³ + bc³)
… … … … … … + 6 (a²b² + a²c² + b²c²)
… … … … … … + 12 (a²bc + ab²c + abc²)
Now, given that
a + b + c = 4
a² + b² + c² = 10
it follows that
ab + ac + bc = (4² - 10)/2 = 3
We use this result to simplify the extra terms in the 3rd-degree expansion.
a²b + a²c + ab² + b²c + ac² + bc²
= a (ab + ac) + b (ab + bc) + c (ac + bc)
= a (ab + ac + bc) + b (ab + ac + bc) + c (ab + ac + bc) - 3abc
… … I underline the terms that are added and subtracted … …
= (a + b + c) (ab + ac + bc) - 3abc
= 4 • 3 - 3abc
= 12 - 3abc
Given that
a³ + b³ + c³ = 22
this tells us that
4³ = 22 + 3 (12 - 3abc) + 6abc
4³ = 58 - 3abc
and so
abc = (4³ - 58)/(-3) = -2
from which it follows that
a²b + a²c + ab² + b²c + ac² + bc² = 12 - 3 • (-2) = 18
Now we similarly simplify the extra terms in the 4th-degree expansion.
a³b + a³c + ab³ + b³c + ac³ + bc³
= a² (ab + ac) + b² (ab + bc) + c² (ac + bc)
= a² (ab + ac + bc) + b² (ab + ac + bc) + c² (ab + ac + bc) - a²bc - ab²c - abc²
= (a² + b² + c²) (ab + ac + bc) - (a²bc + ab²c + abc²)
= 10 • 3 - (a²bc + ab²c + abc²)
which means
4⁴ = a⁴ + b⁴ + c⁴
… … … … … … + 4 (30 - a²bc - ab²c - abc²)
… … … … … … + 6 (a²b² + a²c² + b²c²)
… … … … … … + 12 (a²bc + ab²c + abc²)
reduces to
136 = a⁴ + b⁴ + c⁴
… … … … … … + 6 (a²b² + a²c² + b²c²)
… … … … … … + 8 (a²bc + ab²c + abc²)
Now, we know a + b + c = 4 and abc = -2, so we have
a²bc + ab²c + abc² = abc (a + b + c) = -2 • 4 = -8
and so
136 = a⁴ + b⁴ + c⁴ + 6 (a²b² + a²c² + b²c²) + 8 • (-8)
200 = a⁴ + b⁴ + c⁴ + 6 (a²b² + a²c² + b²c²)
Finally, we know that ab + ac + bc = 3. Squaring this gives
(ab + ac + bc)² = 3²
a²b² + a²c² + b²c² + 2 (a²bc + ab²c + abc²) = 9
but we also know that a²bc + ab²c + abc² = -8, so
a²b² + a²c² + b²c² + 2 • (-8) = 9
a²b² + a²c² + b²c² = 25
Therefore, we end up with
200 = a⁴ + b⁴ + c⁴ + 6 • 25
⇒ [[[ a⁴ + b⁴ + c⁴ = 50 ]]
I need help please and ty 2 questions in math for a lot of points
Answer: ok we will help
Step-by-step explanation:
he need our help
A 14-oz iced tea at a certain restaurant has 140 calories. How many calories are there in a 22-oz iced tea?
Answer:
220 calories
Step-by-step explanation:
Cross multiply and then divide:
[tex]\frac{14}{22}= \frac{140}{x}[/tex]
140 x 22 = 3080
3080 / 14 = 220
I really need help
Help please (40 points)
Provide the missing statements and reasons for the following proof.
Theorem opposite slides of parallelograms are congruent
Answer:
See answer below
Step-by-step explanation:
R3: If parallel lines, then alternate interior angles is congruent
S4: AC ≅ AC
R5: ASA
Solve:
1. Square both sides of the equation.
2. Expand the left side. (3 − k)(3 − k) = 3k + 1
3. Multiply 9 − 6k + k2 = 3k + 1
4. Write the quadratic equation in standard form. k2 − 9k + 8 = 0
5. Factor the quadratic equation. (k − 8)(k − 1) = 0
6. Use the zero product property.
The solutions to the quadratic equation are
.
The true solution(s) to the radical equation
The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8
The given equation is:
[tex]3-k=\sqrt{3k+1}[/tex]
Square both sides of the equation
[tex](3-k)^2=3k+1[/tex]
Expand the left side of the equation above
[tex](3-k)^2=3k+1\\\\(3-k)(3-k)=3k+1\\\\3^2-3k-3k+k^2=3k+1\\\\9-6k+k^2=3k+1[/tex]
Write the quadratic equation in standard form
[tex]k^2-6k-3k+9-1=0\\\\k^2-9k+8=0\\\\[/tex]
Factor the quadratic equation
[tex](k-8)(k-1)=0[/tex]
Use the zero product property
k - 8 = 0
k = 8
k - 1 = 0
k = 1
The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8
Learn more here: https://brainly.com/question/25840704
answer
first one: 8 and 1
second one: is 1
Step-by-step explanation:
slay
In a scale drawing, 3 millimeters represents 17 meters. Exactly how many millimeters represents 55 meters?
Work Shown:
(3 mm)/(17 m) = (x mm)/(55 m)
3/17 = x/55
3*55 = 17*x
165 = 17x
17x = 165
x = 165/17
x = 9.706 approximately
Side note: I used the cross multiplication rule for the third step.
please help me i’m being timed!!!
Answer:
B
Step-by-step explanation:
The heaviest pig on the farm weighs 100 pounds
. If there are 20 girls in a class of 30 students, find out the percentage of boys in the class?
If there are 20 girls in a class of 30 students, find out the percentage of boys in the class?
✍ Answer:>> If the class has 30 students and 20 girls then;
Boys = (30 - 20 = 10)>> Therefore;
Percentage that are boys = (no.of boys/total students) x 10010/30 * 100 = 33.3%#CarryOnLearning
- Happy Holidays -
The percentage of boys in the class is 33.3%
If the class has 30 students and 20 girls then;
Boys = (30 - 20 = 10)
Percentage that are boys = (no.of boys/total students) x 100
10/30 * 100 = 33.3%
What's percent in math?The percentage is a relative fee indicating the hundredth component of any amount. One percentage (symbolized 1%) is one centesimal part; as a result, 100 percent represents everything and 2 hundred percent specifies twice the given amount. percentage. associated subjects: mathematics percentile.
Multiply the number by means of 100. If you are required to convert a decimal number like 0.57 to a %, you simply multiply it through one hundred. that is 0.57 x 100 = 57. therefore, 0.57 as a percent equals 57%.
Learn more about percentages here: https://brainly.com/question/843074
#SPJ2
5 1/28=1/2p+5 4/7
Please help!!
Answer:
p = (-15)/14
Step-by-step explanation:
Solve for p:
5 + 1/28 = p/2 + 4/7 + 5
Put 5 + 1/28 over the common denominator 28. 5 + 1/28 = (28×5)/28 + 1/28:
((28×5)/28 + 1/28) = p/2 + 4/7 + 5
28×5 = 140:
140/28 + 1/28 = p/2 + 4/7 + 5
140/28 + 1/28 = (140 + 1)/28:
((140 + 1)/28) = p/2 + 4/7 + 5
140 + 1 = 141:
141/28 = p/2 + 4/7 + 5
Put each term in p/2 + 4/7 + 5 over the common denominator 14: p/2 + 4/7 + 5 = (7 p)/14 + 8/14 + 70/14:
141/28 = ((7 p)/14 + 8/14 + 70/14)
(7 p)/14 + 8/14 + 70/14 = (7 p + 8 + 70)/14:
141/28 = ((7 p + 8 + 70)/14)
Grouping like terms, 7 p + 8 + 70 = 7 p + (70 + 8):
141/28 = (7 p + (70 + 8))/14
70 + 8 = 78:
141/28 = (7 p + 78)/14
141/28 = (7 p + 78)/14 is equivalent to (7 p + 78)/14 = 141/28:
(7 p + 78)/14 = 141/28
Multiply both sides of (7 p + 78)/14 = 141/28 by 14:
(14 (7 p + 78))/14 = (14×141)/28
(14 (7 p + 78))/14 = 14/14×(7 p + 78) = 7 p + 78:
(7 p + 78) = (14×141)/28
14/28 = 14/(14×2) = 1/2:
7 p + 78 = 141/2
Subtract 78 from both sides:
7 p + (78 - 78) = 141/2 - 78
78 - 78 = 0:
7 p = 141/2 - 78
Put 141/2 - 78 over the common denominator 2. 141/2 - 78 = 141/2 + (2 (-78))/2:
7 p = (141/2 - (78×2)/2)
2 (-78) = -156:
7 p = 141/2 + (-156)/2
141/2 - 156/2 = (141 - 156)/2:
7 p = ((141 - 156)/2)
141 - 156 = -15:
7 p = (-15)/2
Divide both sides by 7:
p = ((-15)/7)/2
2×7 = 14:
Answer: p = (-15)/14
Beeswax used in making candles is produced by honeybees produce 7 pounds of honey for each pound of wax they produce. How many pounds of honey is produced if 145 pounds of beeswax
Answer:
1,015
Step-by-step explanation:
7 pounds of honey equals 1 pound of wax
So if we have 145 pounds of was, we multiply 145 by 7
145x7= 1,015
Given the graph below. What is the axis of symmetry (vertex)of the parabola?
Answer:
Answer:
safe speed for the larger radius track u= √2 v
Explanation:
The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.
Also given that r_1= smaller radius
r_2= larger radius curve
r_2= 2r_1..............i
let u be the speed of larger radius curve
now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=
r
1
mv
2
=
r
2
mu
2
................ii
form i and ii we can write
v^2= \frac{1}{2} u^2v
2
=
2
1
u
2
⇒u= √2 v
therefore, safe speed for the larger radius track u= √2 v
Bob is buying groceries at the store. The price before tax is $57, and after tax the total is $62.91. What is the sales tax applied to the groceries? Round to the nearest hundredth.
Jackson answered every 7 out of 9 questions correctly on a Spanish Quiz. If the quiz has 63 questions, how many questions did Jackson answer correctly
Answer:
49
Step-by-step explanation:
9*7=63
7*7=49
There are 49 questions did Jackson answer correctly.
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
Jackson answered every 7 out of 9 questions correctly on a Spanish Quiz.
Total number of questions = 63
Now,
Let number of correct questions = x
So, By the definition of ratio, we can formulate;
⇒ 7 : 9 = x : 63
Solve for x as;
⇒ 7 : 9 = x : 63
⇒ 7 / 9 = x / 63
⇒ 7 × 63 / 9 = x
⇒ x = 7 × 63 / 9
⇒ x = 7 × 7
⇒ x = 49
Thus, There are 49 questions did Jackson answer correctly.
Learn more about the ratio visit:
https://brainly.com/question/2914376
#SPJ2
Can you please help me with this question
Answer:
A. y ≥ -3x +4
Step-by-step explanation:
The boundary line crosses the y-axis at +4, so the y-intercept of it is +4. This eliminates choices C and D.
The shading is above the line, where y-values are greater than those on the line. This eliminates choice B.
The correct inequality is ...
A. y ≥ -3x +4
Select all relations that represent function
Answer: All of the them except for the last relation.
Step-by-step explanation: For a relation to be a function, it can have y-values repeat but not x-values. In the last relation, you have (6,-6,), (-3,12), (6,-1), (-8,13). Notice that the x-value of 6 repeats 2 times in this relation. You can graph this relation and use the vertical line test and you will notice that it will touch the graph more than one time. Therefore, relations 1-4 represents functions and relation 5 does not.
Hope this explanation helps.
Find the perimeter of the shape below:
Answer:
8m
Step-by-step explanation:
-10 + = -3 I need help
Answer:
the answer is
7
Step-by-step explanation:
why is it 7 it is cause -10+7=3
Answer:
7
the answer is 7 because -10+7=-3
–7(2.3y − 2) simplified
Answer:
-16.1y + 14
Step-by-step explanation:
–7(2.3y − 2)
=> -16.1y + 14
Therefore, -16.1y + 14 is the simplified form.
Hoped this helped
[tex]GeniusUser[/tex]
Answer:
53
Step-by-step explanation:
sorry if im incorrect
please help me!
ty :)
Answer:
x intercept= (-3,0) y intercept= (0,3)
Step-by-step explanation:
for x intercepts, y should equal zero
for y intercepts, x should equal zero
x intercept: -x+0=3
-x=3
x=-3 (x,y)--> (-3,0)
y intercept: 0+y=3
y=3 (x,y)--> (0,3)
Answer:
Answer:x - intercept (0, -3)
3)y - intercept (3, 0)
Hope you could get an idea from here.
Doubt clarification - use comment section.
Ricky has seven dollars and one cent.
How is that amount written using a dollar sign?
Answer:
$7.01
Step-by-step explanation:
Answer:
$7.01
Step-by-step explanation:
You have seven whole dollars, which goes before the decimal point, then your cents go behind the decimal point.
Solve the equation.
a-6=13
Answer:
a=19
Step-by-step explanation:
In this equation you want to solve for a
In this case you simply add 6 to 13 because -6 is attached to the a on the left side and you want a on it's own.
a - 6 = 13
+6 +6 (-6+6 = 0) (6+13=19)
a = 19
Find the amount paid for the loan. $4,800 at 9.9% for 4 years
Answer:
the amount paid for the loan would be $6700.80
The student council is ordering
T-Shirts from a website. The T-shirts
cost $7 each and there is a shipping
fee of $15 for any amount ordered.
The student council wants to suspend
less than $100 on the T-shirts. Write
an inequality that can be used to find
X, the number of shirts the student
council can order?
Hello, I really need help with this question. It is talking about true or false statement referring to a graph. Please tell me which statements are true or false.