Answer:
pi/2
Step-by-step explanation:
We know that,
Length of arc=r*(theta) where r=radius and theta is angle
Given- unit circle, it means circle have raduis=1
Theta=90° or (pi/2)
Hence,
Length of arc is = 1*(pi/2)
= pi/2
Hence option two is correct
label the quadrants IV
Answer:
Quadrant IV is always in the bottom right corner.
What happens to warm air when it cools?
A) It sinks back down to Earth.
B) It is absorbed into clouds.
C) It remains in Earth’s upper atmosphere.
D) It breaks apart and disappears.
Answer:
b
Step-by-step explanation:
hj
Answer:Its B,dude
Step-by-step explanation:
Which of the following BEST describes how to use the addition property of equality to isolate the variable y
below?
y-12 = 14
A. add 12 to the left side of the equation only
B. subtract 12 from the left side of the equation only
C. add 12 to both sides of the equation
D. subtract 12 from both sides of the equation
Please select the best answer from the choices provided
Ο Α
ОВ
С
Answer: C) add 12 to both sides
Reason:
We add 12 to the left side to undo the -12, which will get y by itself.
We must do the same thing to both sides to keep things balanced.
Given the system below:
f(x) = 2x
g(x) = 2x
Which value(s) of x make f(x) = g(x) a true statement? If necessary, you may choose more than one
answer.
1
4
3
2
9
0
All real numbers
1. f(x) = 2x
2. g(x) = 2x
Substitute g(x) to the 2x in the first statement.
You'll get: f(x) = g(x)
Therefore, x ∈ all real numbers (any value of x would make it a true statement)
Please help me
Which equation has the same solutions as x²+6x-7=0 ?
A) (x+3)²=2
B) (x-3)²=2
C) (x-3)²=16
D) (x+3)²=16
Answer:
[tex]D)~(x+3)^2 = 16[/tex]
Step-by-step explanation:
[tex]~~~~~~x^2 +6x -7 = 0\\\\\implies x^2+6x = 7\\\\\implies x^2 +2 \cdot 3 \cdot x +3^2 -3^2 = 7\\\\\implies x^2 +2 \cdot 3 \cdot x+3^2 = 7+3^2\\\\\implies (x+3)^2 = 7+9\\\\\implies (x+3)^2 = 16[/tex]
please do all of number 2 please help (find the angle measurements that are not given
The measures of the missing angles are as follows:
a. 145°
b. 43°
c. 36°, 36° and 144°
How to find angles when lines intersect?When two lines intersect, angle relationship can be formed. The angles can be adjacent angles, vertical angles and many more.
Therefore,
a. 180 - 35 = 145 degrees( angle on a straight line)
b. 180- 47 - 90 = 43 degrees(angles on a straight line)
c. 144 degrees (vertical angles), 36 degrees and 36 degrees(angles on a point is 36 degrees)
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What does this graph show
inverse
direct
neither
Answer:
i think the given graph is inverse
What ordered pair is a solution to
{2y=4x-10}
{-y=4x-1}
Tara made a scale drawing of a boarding school. she used the scale 1 centimeter : 7 meters. a building at the school is 12 centimeters long in the drawing. how long is the actual building?
Answer:
84cm
Step-by-step explanation:
Given that;
1cm = 7m
12cm = x
Cross Multiply
x = 12×7
x = 84m
What two operations would you use to solve the equation 5x - 8=-18
-multiplication
-division
-addition
-subtraction
Answer:
subtraction
Step-by-step explanation:
5x-8+8=-18+8
5x=-10
5x/5=-10/5
x=-2
Answer:
addition and division
Step-by-step explanation:
5x - 8 = - 18 ( add 8 to both sides )
5x = - 10 ( divide both sides by 5 )
x = [tex]\frac{-10}{5}[/tex] = - 2
Mason has a business selling perfume at the mall. Currently his business has a
balance of -$20.
Which amounts of sales would give Mason's business a positive balance?
Choose ALL that apply.
$15 $35 $21 $29 $30 $19
Answer:
21, 29, 30, 35
Step-by-step explanation:
anything greater than 20 would break even and then give a position balance
A certain species of bird is in danger of becoming extinct. There were 1500 birds in 2000 and they are
decreasing at an annual rate of 6.5%.
a) If this trend continues, how many birds will be left by 2010?
b) How many birds would there have been in 1990?
a) If this trend continues, how many birds will be left by 2010 will be 525
b) The birds would there have been in 1990 will be 2475
What is rate of increase?Rate of increase or decrease is defined as the increment or decrement in any quantity over a period of time constantly.
Here we have the data that:
There were 1500 birds in 2000 and they are decreasing at an annual rate of 6.5%.
a) If this trend continues, how many birds will be left by 2010
{1500x6.25}/{100}=97.5
So the bird decrement in the one year will be =97.5 so it will be in the 10 years or upto 2010 will be
97.5x10=975
So the birds left till 2010 will be:
Q=1500-975=525
b)The birds would there have been in 1990 will be:-
=1500+975=2475
Hence If this trend continues, how many birds will be left by 2010 will be 525.The birds would there have been in 1990 will be 2475
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Given the equations and the graph below, how many solutions are there to the system of equations?
Explain your answer.
Answer:
One, since the lines are not parallel (you can tell by either the graph, or the coefficient of the x term, called "slope", and it's (3;4)
whats 55 + 55? I've been struggling and I can't take it anymore. I saw the memes and I need the real absolute final answer. pls help
Answer:
110
50+50=100
5+5=10
100+10=110
(thats how i do mental math)
Simplify the expression (4x2y3)2
Answer:
8x^2 2y^3
Step-by-step explanation:
discuss why area: perimeter for a square ÷ 4.
Step-by-step explanation:
because its formula is 4L
A traveler pulls a suitcase, as shown in the figure.
The force acting on the handle is 30 N at an angle of θ = 40°. How much work is done if the traveler moves 120 meters? Round to the nearest whole number.
2,314 Nm
2,758 Nm
3,085 Nm
4,156 Nm
&
A cart weighing 180 pounds rests on an incline at an angle of 35°. What is the required force to keep the cart at rest? Round to the thousandths place.
77.073 pounds
103.244 pounds
147.447 pounds
162.665 pounds
Answer:
2758 Nm
Step-by-step explanation
Work done usually depends on two things force applied and distance travelled due to applied force. In this current scenario, the force is being applied at an angle so we will have to find a component of force in the direction of the movement.
We usually find component using cos θ.
Here θ is 40°
Now, the modified equation becomes,
Work Done = Force * Distance * Component of force along the direction of distance
∴ Work = 30 N * 120 m * Cos 40°
⇒Work = 30 * 120 * 0.766
⇒Work = 2757.6 Nm
Rounding to the nearest whole number.
∴ The work done by force is 2758 Nm which is option B
The amount of work done will be 2758 Nm. Then the correct option is B. And the required force to keep the cart at rest will be 147.447 pounds. Then the correct option is C.
What is work done?The product of the force and displacement.
WD = F × d × cos θ
A traveler pulls a suitcase, as shown in the figure.
The force acting on the handle is 30 N at an angle of θ = 40°.
Then the amount of work done if the traveler moves 120 meters will be
WD = 30 × 120 × cos 40°
WD = 30 × 120 × 0.766
WD = 2758 Nm
Then the correct option is B.
A cart weighing 180 pounds rests on an incline at an angle of 35°.
The required force to keep the cart at rest will be
Fₓ = F × cos θ
Fₓ = 180 × cos 35°
Fₓ = 147.447 pounds
Then the correct option is C.
More about the work done link is given below.
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I was confused on how to write the quadratic in standard form
Answer:
3x² + 4x + 8 = 0
Step-by-step explanation:
Standard form of quadratic equation is
ax²+bx+c=0
standard form of quadratic equation 3x²+4x+7=-1 is
3x² + 4x + 7 = -1
3x² + 4x + 7 + 1 = 0
3x² + 4x + 8 = 0
In the previous task you saw that the number of
moves to solve the Tower of Hanoi with n disks
given by the equation an -2-1.
What is the fewest number of moves required for
7 disks?
13
64
J
127
128
COMPLETE
ANSWER:127
Using the given equation, it is found that the fewest number of moves required for 7 disks is of 127.
What is the fewest number of moves needed with n disks?It is given by the following equation:
[tex]a_n = 2^n - 1[/tex]
In this problem, we have 7 disks, hence the fewest number of moves needed is given by:
[tex]a_7 = 2^7 - 1 = 127[/tex]
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Answer:
127
Step-by-step explanation:
If cost of 15 eggs is Rs. 75, then find out the cost of 4 dozens eggs.
a.₹ 185
b.₹ 150
c.₹ 300
d.₹ 240
Answer:
The answer is d 240. You will first find how much 1 egg costs then times 12 times 4 equal to 48 times how much 1 egg Costs equal to 240
Help? It’s for scantron and I have to exempt
Answer:
A. Red/Line C
Step-by-step explanation:
Jim works as a manager at a local supermarket in dallas. jim worked 36 hours and his paycheck for this week was $1,620.51. how much does jim make per hour? round your answer to the nearest cent.
324
Step-by-step explanation:
roughly about that much
What are the ratio of the perimeters and the ratio of the areas?
Check the picture below.
the ratio of the sides will be the same ratio of their perimeters
[tex]\stackrel{\textit{\LARGE ratio of their}}{\stackrel{perimeters}{\cfrac{6}{15}\implies \cfrac{2}{5}}\hspace{5em}\stackrel{areas}{\cfrac{2^2}{5^2}\implies \cfrac{4}{25}}}[/tex]
Find the minimum value of
\[\frac{x^2 + 9}{x}\]for $x > 0.$
I tried this but I didn't get it, could someone explain?
I hope this will help you a lot
9. Use the compound-interest formula to find the account balance A, where P is principal, r is interest rate, n is number of compounding periods per year, t is time, in years, and A is account balance.
Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The account balance after a period of 5 years will be $1.63634×10²⁰.
What is compound interest?Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Given the principal amount is $12,385, the rate of interest is 7.5%, and the time period is daily. Therefore, the amount can be written as,
[tex]A = P(1 + \frac{r}{n})^{nt}\\\\A = \$12,385(1 + \frac{7.5}{365})^{(365 \times 5)}\\\\A = \$1.63634 \times 10^{20}[/tex]
Hence, the account balance after a period of 5 years will be $1.63634×10²⁰.
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A line passes through the points (-4,3) and (0, 0). What is the slope of the line?
Answer:
-3/4
Step-by-step explanation:
ΔY / ΔX, or change in y divided by change in x
(-4,3) and (0, 0)
x increases by 4
y decreases by 3
-3/4
Answer:
It is -3/4
Step-by-step explanation:
Convert the improper fraction to a mixed number 17/3
Answer:
5 and 2/3
Step-by-step explanation:
17/3 = 17 - 3 = 14
1
14 - 3 = 11
2
11 - 3 = 8
3
8 - 3 = 5
4
5 - 3 = 2
5
So it’s 5 2/3
Is 3/10 equivalent to 12/20 or 5/20?
Answer:
Neither?
Step-by-step explanation:
3/10 = 0.3
12/20 = 0.6
5/20 = 0.25
I would say that its up to you what you want to put.
Sorry if it doesn't help.
Yo anyone from United States I gotta question
what's your question question question
I'll give brainiest to the first person to respond BUT only if the answer is correct
Answer:
115 and 1/2
Step-by-step explanation:
B•W•H
Hope this helps! ;-)
Thanks for correcting my mistake!!!
Answer: The answer is 115 1/2
Explanation: Just multiply all the dimensions