Circumference = diameter x PI
To increase from 12 to 18 subtract:
18-12 = 6
The diaeter needs to increase by 6 cm
What is the smaller angle formed by the minute and hour hands at 3:30pm?
[asy]
unitsize(50);
draw(Circle((0,0),1),black+1);
dot((0,0));
for(real i=0;i<360;i+=6){
draw(0.96*(cos(i*pi/180),sin(i*pi/180))--(cos(i*pi/180),sin(i*pi/180)),black+0.5);
};
for(real i=30;i<390;i+=30){
draw(0.93*(cos(i*pi/180),sin(i*pi/180))--(cos(i*pi/180),sin(i*pi/180)),black+0.5);
label(string(i/30),0.83*(sin(i*pi/180),cos(i*pi/180)));
};
real h=3.5; real m=30;
draw(0.65*(sin(pi/6*(h)),cos(pi/6*(h)))--(0,0)--0.9*(sin(pi/30*m),cos(pi/30*m)),black+1,Arrows(TeXHead));
draw(anglemark(dir(-90),origin,dir(-15),5));
[/asy]
Answer:
75 degrees
Step-by-step explanation:
At 3:30, the hour hand is halfway between the 3 and the 4. The minute hand is exactly on the 6.
There are 360/12 = 30 degrees between each of the marked hours. The angle between the hands covers 2.5 of these gaps, so the angle between the hands is 2.5(30) = 75 degrees.
Hope this helps!
The angle between the hands at 3:30 pm is 90°.
What is the angle between the hands of a clock at 3:30 pm?
At that time, one hand points at the 3, and the other hand points at the 6.
Now, there is a rule to transform time into angles.
We know that a clock has 12 hours in a full revolution, and a circle has 360° in a complete revolution.
Then we know that:
12 hours = 360°
Then:
1 hour = (360°/12) = 30°
So each between each number in the clock we have an angle of 30°.
Then, between 3 and 6 (3 hours) we have:
3*30° = 90°
The angle between the hands at 3:30 pm is 90°.
If you want to learn more about angles, you can read:
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20. Mr. Reed bought tickets for 7 teachers
to attend a concert. He paid a total of
$245 for the tickets. If each ticket
cost the same amount, how much
did Mr. Reed pay for each ticket?
A $24.50
B $25.00
C $32.00
D $35.00
There is a cube that is 1 unit long, 1 unit wide,
and 1 unit deep. What is the volume of this
cube?
a. 4 cubic units
b. 3 cubic units
c. 2 cubic units
d. 1 cubic unit
Answer:
v = 1
Step-by-step explanation:
volume of a cube = side cubed
1 cubed = 1
Answer:
answer is 1 cubic unit
hope this helps
4(6-5x)^2+11=20
quadratic equations
Answer:
(x-114.5), (x-14.05)
Step-by-step explanation:
Answer attached
Me Help ASAP or when everrr
Answer:
Base = 3√5
Step-by-step explanation:
Given:
Hypotenuse = 9
Perpendicular = 6
Find:
Base(x)
Computation:
Using Pythagorean theorem
Base = √Hypotenuse² - Perpendicular²
Base = √9² - 6²
Base = √81 - 36
Base = √45
Base = 3√5
math su.cks......................................................................................................................................................................................................................... on suc.kers! i like bad jokes.
Answer:
Step-by-step explanation:
Ok
Answer:
what
Step-by-step explanation:
:(
My point exactly in algebra.
Does anybody know the answer???
Answer:
Linear polynomial.
Step-by-step explanation:
A linear polynomial is written with a degree 1. An example of a linear polynomials includes 3x + 5. This is what 5b - 1 is.
Hope it helps!
I. find the distance the two given points
Answer:
Step-by-step explanation:
Use the formula,
distance = √[(x1-x2)^2 + (y1-y2)^2]
the table below shows the speed of a falling object that every second within the first 5 seconds of its downward motion based on the relationship between speed and time that the same will suggest which equation can be used to find the speed of the object at t seconds A. 8=t/32 B. S=32t C. S=32-t D. s=t+32
Answer:
B. s = 32t
Step-by-step explanation:
The equation would be in the form of s = mt.
Where, m = rate of change
Find rate of change using any two values given in the table, say (1, 32) and (2, 64)
Rate of change (m) = ∆s/∆m = (64 - 32)/(2 - 1) = 32/1 = 32
✔️To write the equation, substite m = 32 into s = mt
s = 32t
Question Help
3.3 PS-14
A salesperson at a jewelry store earns 4% commission each week. Last week, Jarrod sold $750
worth of jewelry. How much did he make in commission? How much did the jewelry store make
from his sales?
HELPPP PLSSSS I REALLY NEED HELP!!!
Answer: 108°
Step-by-step explanation:
Answer:
108Step-by-step explanation:Remember that the total amount of degrees in a pentagon is: 540, and there are 5 sides, so divide 5 by 540:
540/5 = 108
108 is your answer.
Simplify the following.
Answer:
[tex]m^{4}n^{5}[/tex]
Step-by-step explanation: ( I'm a student, I'm not really good at explaining maths )
When dividing variables with exponents, you subtract the exponents that has the same variables, like this:
[tex]m^{16-12}n^{10-5}[/tex]
Simplifying this becomes:
[tex]m^{4}n^{5}[/tex]
write an expression equivalent to 2(2x + 2y).
Answer:
4x+4y
Step-by-step explanation:
You can write an equivalent expression by simply simplifying the expression. In order to simplify this expression, distribute the numbers.
You'll get:
(2*2x)+(2*2y) = 4x + 4y
4x + 4y is an equivalent expression.
Christopher is going to use a computer at an internet cafe. The cafe charges
$0.20 for every minute using a computer on top of an initial charge of $7.
Make a table of values and then write an equation for C, in terms oft,
representing the total cost of using a computer for t minutes at the internet
cafe.
Answer:
0 7
1 7.20
2 7.40
3 7.60
Step-by-step explanation:
*PLEASE ANSWER!!! THANK YOU*
Greg is a pharmaceutical sales rep who works on commission. He needs to sell his product to at least 5 doctors each month. What is the term that represents needing to sell a certain amount before getting paid?
a.) Quota
b.) Salary
c.) Gross pay
Answer:
A
Step-by-step explanation:
Kaylin buys a greeting card for $3.79. She then buys 4 postcards that all cost the same amount. The total cost is $5.11. How much is each postcard?
Answer:
$0.33
Step-by-step explanation:
5.11-3.79=1.32 1.32/4
Hope this helps :)
Answer:
each postcard cost .33 or 33 cent
Step-by-step explanation:
5.11(total cost)-3.79(greeting card)= 1.32
1.32(cost of all postcards)/4= .33
Calculate the quotient.
A. 3/4 divided by 5 1/5 is?
B. 3/7 divided by 2 1/2 is?
C. 5/8 divided by 6 5/6 is?
D. 8 3/10 divided by 5/8 is?
A) 3/4 ÷ 5 1/5.
Answer:
[tex] \frac{15}{104} [/tex]
B) 3/7 ÷ 2 1/2.
Answer:
[tex] \frac{6}{35} [/tex]
C) 5/8 ÷ 6 5/6.
Answer:
[tex] \frac{15}{164} [/tex]
D) 8 3/10 ÷ 5/8.
Answer:
[tex]13 \frac{7}{25} [/tex]
LeBron bought a 8-pack of Powerade for $7.68. What is the unit rate for one bottle of Powerade?
Please help me. Thank you
Answer:
AE - 3, EB - 2, EC - 5
Step-by-step explanation:
Use the Pythagorean theorem and you'll find that these are the answers.
I'll answer problem 19
=======================================================
Part (a)
The tickmarks on segments DE and DC indicate they are the same length. We're also told that |DC| = |DE| = 5.
So DE is also 5 cm long. Triangle DAE is a right triangle with the 90 degree angle at angle A. Let x be the length of segment AE.
We'll use the pythagorean theorem to find x
a^2 + b^2 = c^2
(AE)^2 + (AD)^2 = (DE)^2
x^2 + 4^2 = 5^2
x^2 + 16 = 25
x^2 = 25-16
x^2 = 9
x = sqrt(9)
x = 3
Segment AE is 3 cm long
=======================================================
Part (b)
For any rectangle, the opposite sides are parallel and the same length. This means AB = DC = 5 cm.
We found earlier that AE = 3 cm, so,
AE+EB = AB
3+EB = 5
EB = 5-3
EB = 2
Segment EB is 2 cm long
=======================================================
Part (c)
We know that AD = BC = 4 cm, because the opposite sides are the same length.
Earlier in part (b), we found that segment EB was 2 cm long.
Triangle EBC is a right triangle with legs EB = 2 and BC = 4. Let's apply the pythagorean theorem to find EC. Let y = EC.
a^2 + b^2 = c^2
(EB)^2 + (BC)^2 = (EC)^2
2^2 + 4^2 = y^2
4 + 16 = y^2
20 = y^2
y^2 = 20
y = sqrt(20)
y = sqrt(4*5)
y = sqrt(4)*sqrt(5)
y = 2*sqrt(5)
y = 4.4721359
As an exact value, EC is sqrt(20) or 2*sqrt(5) cm long.
As an approximate value, EC is roughly 4.4721359 cm long.
I would ask your teacher if you should use the exact or approximate value.
Solve the system
9x^2 + 4(y - 2)^2 = 36
x^2 = 2y
Answer: y = 2 and x = 2
Step-by-step explanation:
[tex]9x^2+4(y-2)^2=36\\x^2=2y[/tex]
First, get the entire thing in terms of y, because you cant solve for two variables at the same time. They gave us the fact that x^2 = 2y
[tex]9(2y)+4(y-2)^2=36\\18y+4(y^2-4y+4)=36\\18y+4y^2-16y+16=36\\4y^2+2y-20=0[/tex]
What two numbers multiply to equal -80 but add to equal 2? That is +10 and -8.
[tex]4y^2+2y-20=0\\(4y^2-8y)+(10y-20)=0\\4y(y-2)+10(y-2=0)\\(4y+10)(y-2)=0\\y=-5/2\\y=2[/tex]
Now solve for x by plugging in y to the easier equation
[tex]x^2=2(-5/2)\\x\neq \sqrt{-5}[/tex]
If I didn't make a mistake, this should be the only answer. In the case of y = -5/2, you would get an imaginary x-value. Therefore y cannot equal -5/2
[tex]x^2=2(2)\\x=2[/tex]
The solution of the expression are,
x = 2.28 , y = 2.62
Or, x = 3.9i , y = - 7.62
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The system of equations are,
9x² + 4 (y - 2)² = 36 .. (i)
x² = 2y .. (ii)
Substitute the value of x² from (ii) in (i);
9x² + 4 (y - 2)² = 36
9 × 2y + 4 (y - 2)² = 36
18y + 4 (y - 2)² = 36
9y + 2 (y - 2)² = 18
9y + 2 (y² + 4 - 2y) = 18
9y + 2y² + 8 - 4y = 18
2y² + 5y + 8 - 18 = 0
2y² + 5y - 10 = 0
y = - 5 ± √5² - 4×2×- 10 / 2×2
y = - 5 ± √ 25 + 80 / 2
y = - 5 ± √ 105 / 2
y = - 5 ± 10.24 / 2
y = - 5 + 10.24 / 2
y = 5.24/2
y = 2.62
y = - 5 - 10.24 / 2
y = - 15.24 / 2
y = - 7.62
From (ii);
x² = 2y
x² = 2 × 2.62
x² = 5.24
x = 2.28
x² = 2y
x² = 2 × - 7.62
x² = - 15.24
x = 3.9i
Thus, The solution of the expression are,
x = 2.28 , y = 2.62
Or, x = 3.9i , y = - 7.62
Learn more about the mathematical expression visit:
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The equation of line L is 2x+y=3
Line M is parallel to line L and passes through
(1,−6)
Work out the equation of line M.
Give your answer in the form
y=ax+b
(3 marks)
Answer:
y = -2x - 4
Step-by-step explanation:
We transform the line equation of L:
2x + y = 3 --(-2x)--> f(x) = y = -2x + 3
We now know that L intersects the y-axis at 3 and it has a slope of -2.
In order to construct a parallel line M, it needs to have an identical slope to L.
All we need to do now is to move one step from the given point (1,-6) towards 0 with the predetermined slope of -2, resulting in the point (0,-4).
Since we know slope and intersection with the y-axis (0,-4), we can construct the line equation:
f(x) = y = -2x - 4 for line M.
how has personal finance literacy affect you in your daily life?
Answer:
I have no idea. Is this a real question? If it, I'll answer it to the best of my ability. :)
Step-by-step explanation:
Find the value of x. Round your answer to the nearest tenth.
Answer:
63
Step-by-step explanation:
HELPPPPP
Question 15(Multiple Choice Worth 4 points)
(05.06 LC)
Given the scatter plot, choose the function that best fits the data.
scatter plot with data points that form an upward curve staring at the origin and continuing to the right
f(x) = 4x
f(x) = −4x
f(x) = 4x2
f(x) = 4x
Answer:
f(x) = 4x²
Step-by-step explanation:
This function curves while the others don't.
Hope it's correct and helps!
The function that best fits the data is [tex]y=4^x[/tex]
What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is exponential function?"The function of the form [tex]y=ab^x[/tex] where a, b are real numbers and a ≠ 0 "
For given question,
The scatter plot with data points that form an upward curve staring at the origin and continuing to the right.
The graph represents an exponential function.
At (0, 1),
[tex]\Rightarrow 1=ab^0\\\Rightarrow a=1[/tex]
At (1, 4) we have,
[tex]\Rightarrow 4 = ab^1\\\Rightarrow 4=(1)b\\\Rightarrow b=4[/tex]
So, we have exponential function of the form [tex]y=4^x[/tex]
Hence, the function that best fits the data is [tex]y=4^x[/tex]
Learn more about exponential function here:
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I NEED HELP ASAP!!!!!
Solve the equation and show your work.
Here's the problem: 4x + 3x - 3(4x - 8) = 14
Step 1.) Eliminate parentheses by distributing the -3.
Step 2.) Collect any like terms on the left side of the equation.
Step 3.) Subtract 24 from both sides of the equation.
Step 4.) Divide both sides of the equation by -5.
Answer:
Step-by-step explanation:
x=2
Choose all the fractions that are in simplest form. 4/26 8/21 6/19 9/10 10/22
Answer:
8/12, 6/19 and 9/10!
Step-by-step explanation:
All of them cannot be simplified.
but the rest can like
4/26 can be simplified by 2
and 10.22 can be simplified by 2
The function f(x) = {}]" is reflected across the y-axis to create the function g(x). Which ordered pair is on g(x)?
0 (-3.375)
o(-22
O (3)
10 (2-23
Answer:
I think your problem didn't copy correctly because you didn't provide a function. if you could provide it to me I would be glad to help and give you the answer.
I also do exams and quizzes if your interested
x^2 + 9x + 14 I need help !
Answer:
x² + 9x + 14 can be factored as (x+2)(x+7)
Step-by-step explanation:
The general form is ax² + bx + c. If a=1, then you can start looking for two numbers that multiplied give c and added give b.
14 = 2*7
and
9 = 2+7
hence the easy factorization
(x+2)(x+7)
Keep in mind that it only works if a=1.
Answer:
( + 2 ) (x+7 )
Step-by-step explanation:
Use the sum-product pattern 2 + 9 + 1 4 2 + 7 + 2 + 1 4 2
Common factor from the two pairs 2 + 7 + 2 + 1 4 ( + 7 ) + 2 ( + 7 ) 3
Rewrite in factored form ( + 7 ) + 2 ( + 7 ) ( + 2 ) ( + 7 )
Really confused, can someone help me?
First Answer:
x = 12
First Step-by-step explanation:
12 + x = -3(4 - x)
12 + x = -12 + 3x
- x - x
—————————
12 = -12 + 2x
+ 12 + 12
—————————
24 = 2x
24/2 = 2x/2
12 = x
Second Answer:
No solution
Second Step-by-step explanation:
2(x - 1/2) = 8 + 2x
2x - 1 = 8 + 2x
+1 +1
—————————
2x = 9 + 2x
- 2x - 2x
—————————
0 = 9
^^ No solution