Let's put more details in the given graph to better understand the problem:
For the rectangular coordinates, it means that we will be looking for the x and y.
But first, let's determine the polar coordinates of the point.
From the given graph, it appears that the point is at r = 4.
For the angle, let's first determine the measure of each units represented by A.
Since there are 6 units in a 90° angle, let's find A:
6A = 90°
6A/6 = 90°/6
A = 15°
Therefore, Θ will be:
Θ = 4A
= 4(15°)
Θ = 60°
Let's now solve for x and y.
x = r · Cos Θ
x = 4 · Cos (60°)
x = 2
Since it is in the second quadrant, x should be a negative value.
Thus, x = -2
y = r · Sin Θ
y = 4 · Sin (60°)
y = 2√3
Therefore, the rectangular coordinates of P is:
\(\text{ x, y = -2, 2}\sqrt{3}\)The answer is CHOICE A.
how to Find the product of 68 x 37
Answer:
our answer will be: 68 x 37 = 2516. To find any product in the future on your own, just remember that ...
Step-by-step explanation:
Answer:
2516
Step-by-step explanation:
multiply 7 by 8 and carry the 5
68
x 37
6
multiply 7 by 6 and add the carried 5
68
x 37
476
multiply 3 by 8 and carry the 2 but skip a space directly under 6 when you write it bc there's 2 digits
68
x 37
476
4
multiply 3 by 6 and add the carried 2
68
x 37
476
+ 204 now add
2516
Please help! Need this by tonight thanks! Question 7 Click on picture
Answer:
Oh god, I don't really know much about this, but I am going to assume that the 25 represents the mn so maybe you have to put 25mn + 6600 on the first box?
Step-by-step explanation:
I just looked up how to do this. I think the form has to be a C=mn+b format. For the third box, I think you need to solve 54100=25mn+6600. On the second box I think you just need to solve C(3600)=25(3600)+6600. idrk
Are the figures congruent? Including more questions
Answer: Hello!
Step-by-step explanation: After measuring the two triangles I can conclude they are congruent!
Finn, tenth grader straight A student.
Have a great day.
Roland has built a circuit, and is using a device called an
ammeter to measure how quickly electrical current is flowing
through the circuit. He calculates that the current should be
0.180 amps, but he measures the current as 0.173 amps. What
is Roland's percent error?
Roland's percent error is approximately 3.889%.
This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.
The positive sign indicates that Roland's measured value is slightly lower than the actual value.
To calculate Roland's percent error, we can use the formula:
Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100
Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:
Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100
Simplifying the expression within the absolute value:
Percent Error = (|-0.007| / 0.180) \(\times\) 100
Since the absolute value of -0.007 is 0.007, we have:
Percent Error = (0.007 / 0.180) \(\times\) 100
Calculating the division:
Percent Error = 0.03889 \(\times\) 100
Percent Error = 3.889%.
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10 POINTS
FIND THE EXACT VALUES OF cos theta/2 and tan theta/2
i only need help with 12 & 13 only and show work please. note the picture is sideways
Answer:
12. 65:6 = 65/6 = 65 to 6
13: 21:4 = 21/4 = 21 to 4
Step-by-step explanation:
You want the numerical values of the given ratios of blood donors written three ways.
In each case, replace the blood type with the corresponding number of donors. Ratios can be written using a colon, a division bar, or the word "to".
12. A+ and B+ to AB+Using the numbers, this is ...
(45 +20) : 6 = 65 : 6 = 65/6 = 65 to 6
13. A- and B- to AB-Using the numbers, this is ...
(21 +0) : 4 = 21 : 4 = 21/4 = 21 to 4
Graph the inequality.
-6 ≤y+ 2x <15
Answer:
Look Below Hope It Helps
Step-By-Step Explanation:
Answer:
Graph C.
Step-by-step explanation:
PLZ HELP ASAP WILL GIVE BRAINLIEST
whats the red angle?
i cant seem to understand anything
Answer:
65°
Step-by-step explanation:
Sum of interior angles of a triangle = 180°
⇒ m∠EAB = 180 - 90 - 70 = 20°
⇒ m∠DAG = 90 - 45 - 20 = 25°
⇒ m∠AGD = 180 - 90 - 25 = 65°
ΔADG ≅ ΔAFG
⇒ m∠AGD = m∠AGF = 65°
ΔABE ≅ ΔAFE
⇒ m∠AEB = m∠AEF = 70°
factorise x³-4x²+x+6
The binomial factors of x³- 4x²+x+6 are (x+2), (x+3), and (x-1).
Using the splitting and grouping the terms:
x³ + 4x² + x - 6
= x³ + 2x² + 2x² + x - 6 [Splitting 4x² = 2x² + 2x²]
= (x³ + 2x²) + (2x² + x - 6)
= x² (x + 2) + (2x² + 4x - 3x - 6)
= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]
= x² (x + 2) + (x + 2) (2x - 3)
= (x + 2) ( x² + 2x - 3)
= (x + 2) ( x² + 3x - x - 3)
= (x + 2) [x (x + 3) - 1 (x + 3)]
= (x + 2) (x + 3) (x - 1)
Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)
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The pressure, P (in lbs/ft2 ), in a pipe varies over time. Five times an hour, the pressure oscillates from a low of 90 to a high of 230 and then back to a low 90. The pressure at t = 0 is 90.
Question: Find a possible formula for P=f(t)
P=160-70*cos(2π*(1/12)*t)
• Pressure in mathematics or physics is defined as force per unit area. The pressure exerted by a solid object which is resting on top of a solid surface is the weight divided by the area of the object . SI unit of force is Newton (N).
First, we find the amplitude by taking the difference between the peak values and dividing by two:
Amplitude=(230+90)/2=70
We can find the center value by either adding 70 to the minimum or subtracting 70 from the maximum:
90+70=160
230-70=160
This tells us that the Center Value=160
The frequency that we are operating at is given as:
f = 5/hour
so in minutes
f=5*(1/60)/minute=5/60=1/12 per minute
So, combining everything we get
P=160-70*cos(2π*(1/12)*t)
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2+2 answer it please I think it's 22 but it's really hard omg
what is the greatest common faactor of 72 and 40
Answer:
8
Step-by-step explanation:
List the prime factors of each number. Multiply those factors both numbers have in common.
Triangle MAT is similar to Triangle RUG. Complete the statement: Line segment
MT corresponds to
A
U
À
M
T
R
G
Help anyone please !!!
Answer:
Itsb
Step-by-step explanation:
In the Gaussian integral, how does the left side of this equation equal the right side? An answer would be really appreciated, thank you.
the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.
How do we calculate?
using completing the square method:
Starting with the left side of the equation:
∫\(e^(^-^x^2)\) dx
\(e^(^-^x^2) = (e^(^-x^2/2))^2\)
∫\((e^(^-^x^2/2))^2 dx\)
let u = √(x²/2) = x = √(2u²).
dx = √2u du.
∫ \((e^(^x^2/2))^2 dx\)
= ∫ \((e^(^-2u^2)\)) (√2u du)
The integral of \(e^(-2u^2)\)= √(π/2).
∫ \((e^(-x^2/2))^2\) dx
= ∫ (√2u du) \((e^(-2u^2))\\\)
= √(π/2) ∫ (√2u du)
We substitute back u = √(x²/2), we obtain:
∫ \((e^(-x^2/2))^2\)dx
= √(π/2) (√(x²/2))²
= √(π/2) (x²/2)
= (√π/2) x²
A comparison with the right side of the equation shows that they are are equal.
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Consider points R, S, and T.
S
Which statement is true about the geometric figure that
can contain these points?
No line can be drawn through any pair of the points.
O One line can be drawn through all three points.
One plane can be drawn so it contains all three
points.
Two planes can be drawn so that each one contains
all three points.
The true statement about the geometric figure that can contain these points is option C: One plane can be drawn so it contains all three points.
What is the geometric figure about?Based on the question given, the points R, S, and T are said to be specified.
If the three points lie on the same line, there are countless planes that can pass through the line connecting them.
If we choose three points that are not in the same location in three-dimensional space, there exists a flat surface that passes through all three points.
Therefore, The assertion of option C stated applies to a three points, namely R, S, and T.
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Kevin Fast pulled a CC- 177 Globemaster airplane 8.8m. he plane weighed 188 tons. How many pounds did the lane weigh?
Answer:
376000 pounds
Step-by-step explanation:
What's required of this question is to convert the given weight of plane from tons to pounds
Given
\(Weight = 188\ tons\)
Required
Get pounds equivalent
From standard unit of measurements
\(1\ ton = 2000\ pounds\)
Multiply both sides by 188
\(188 * 1\ ton = 188 * 2000\ pounds\)
\(188\ tons = 376000\ pounds\)
Hence, the weight of the plane in pounds is 376000
2
Drag each expression to the correct location on the table.
Simplify each exponential expression using the properties of exponents and match it to the correct answer.
(2-3-2)(5-32)2
(3-2)(5-2)2
2
(33) (40)2 (32)-³(2²)
Reset
1
(37-47)(2-5) (52)
127-5-1-2-4
Next
(2-3) ¹.20
(2-3)=¹
-1
-2
12/12
Each expression should be matched to the correct location on the table as follows;
(2 · 3⁻²)³ (5·3²)²/(3⁻²)(5·2)² = 2.
(3³)(4⁰)²(3·2)⁻³(2²) = 1/2.
(3⁷· 4⁷)(2·5)⁻³(5)²/(12⁷)(5⁻¹)(2⁻⁴) = 2.
(2.3)⁻¹ (2⁰)/(2 . 3)⁻¹ = 1.
How to simplify each exponential expression?In order to match each exponential expression to the correct location on the table, we would have to simplify each exponential expression by using the properties of exponents as follows;
(2 · 3⁻²)³ (5·3²)²/(3⁻²)(5·2)² = (2³)(3⁻⁶)(5²)(3⁴)/(3⁻²) (10²)
(2³)(3⁻⁶)(5²)(3⁴)/(3⁻²) (10²) = (2.2².5²) (3⁻⁶.3⁴)/(3⁻²) (10²)
(2.2².5²) (3⁻⁶.3⁴)/(3⁻²) (10²) = (2)(10²)(3⁻²)/(3⁻²) (10²)
(2)(10²)(3⁻²)/(3⁻²) (10²) = 2
Exponential expression 2:
(3³)(4⁰)²(3·2)⁻³(2²) = (3^3)(1^2) (3^-3)(2^-3) (2^2)
(3^3)(1^2)(3^-3) (2^-3) (2^2) = (2^(-3 + 2))
(2^(-3 + 2)) = 2^-1
2^-1 = 1/2
Note: A number with an exponent of 0 is equal to 1.
Exponential expression 3:
(3⁷· 4⁷)(2·5)⁻³(5)²/(12⁷)(5⁻¹)(2⁻⁴) = (12⁷)(2⁻³)(5⁻³)(5²)/(12⁷)(5⁻¹)(2⁻⁴)
(12⁷)(2⁻³)(5⁻³)(5²)/(12⁷)(5⁻¹)(2⁻⁴) = (2⁻³)(5^(-3 + 2))/(5⁻¹)(2⁻⁴)
(2⁻³)(5^(-3 + 2))/(5⁻¹)(2⁻⁴) = (2⁻³)(5⁻¹)/(5⁻¹)(2⁻⁴)
(2⁻³)(5⁻¹)/(5⁻¹)(2⁻⁴) = 1/2⁻¹
1/2⁻¹ = 2
Exponential expression 4:
(2.3)⁻¹ (2⁰)/(2 . 3)⁻¹ = 2⁰
2⁰ = 1
Note: You should multiply numbers that have the same exponent and add exponents with the same base.
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I'll mark whoever answers first!! Please help me
Answer:
Center ( -8, 1 )
Radius ( 13 )
Complete the chart to show similarities and differences between multiplying by 0.1, 0.01, 10, 100. Tell how many places the decimal point appears to move and in which direction when you multiply by each
Answer:
they all are being multiplied by 10
Step-by-step explanation:
0.01 x 10 = 0.1
0.1 x 10 = 1
1 x 10 = 10
10 x 10 = 100
14. Provide a written description of the complement of the given event.
of ten adults, at least one of them has high blood pressure.
None of the adults have high blood pressure.
At most one of the adults has high blood pressure.
All of the adults have high blood pressure.
Nine of the adults have high blood pressure
Answer:
At most one of the adults has high blood pressure.
Step-by-step explanation:
5. Find x.
Trapezoids Worksheet
Answer:
(1/2)(x + 4 + 100) = 3x
x + 104 = 6x
5x = 104, so x = 20.8
Solve m+7=8
What dose m =
(1 point, Mario leaves Toad Town to visit Peach's Castle, traveling 3 miles per hour. 5 hours later, Luigi leaves Toad Town, also
headed to Peach's Castle, travelirir les per hour. How long after Luigi leaves Toad Town will the
Answer:
15 miles
Step-by-step explanation:
Which phrase describes density? height of a point above sea level force pushing on an area or a surface amount of mass in a certain volume amount of matter an object contains
Answer:
C i think plz let me know ^w^
Step-by-step explanation:
James T-shirt business uses the demand function P = -Q+31 and the supply function P = Q-17. According to these functions, what will the
equilibrium point (P.Q) be for James T-shirt business?
The equilibrium point for James T-shirt business is (P, Q) = (7, 24).
To find the equilibrium point (P, Q) for James T-shirt business
we need to set the demand function equal to the supply function and solve for the values of P and Q.
Demand function: P = -Q + 31
Supply function: P = Q - 17
Setting them equal:
-Q + 31 = Q - 17
Adding Q to both sides and subtracting 31 from both sides:
2Q = 48
Dividing both sides by 2:
Q = 24
Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.
P = Q - 17
P = 24 - 17
P = 7
Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).
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Example 2.11: Solve the following
a) 4x² +10x = 6
Answer:
\(\huge\boxed{\sf \{-3, 1/2\}}\)
Step-by-step explanation:
Given equation:4x² + 10x = 6
Take 2 common
2(2x² + 5x) = 6
Divide 2 to both sides
2x² + 5x = 3
Subtract 3 to both sides
2x² + 5x - 3 = 0
Using mid-term break
2x² + 6x - x - 3 = 0
Take common
2x(x + 3) - 1(x + 3) = 0
Take (x + 3) common
(x + 3)(2x - 1) = 0
Either,
x + 3 = 0 OR 2x - 1 = 0
x = -3 OR 2x = 1
x = -3 OR x = 1/2
Solution Set = {-3, 1/2}\(\rule[225]{225}{2}\)
Answer: x = 3 or (-1/2)
Step-by-step explanation:
Given equation
4x² + 10x = 6
Subtract 6 on both sides
4x² + 10x - 6 = 6 - 6
4x² + 10x - 6 = 0
Use cross-multiplication to factorize the quadratic
Starting with:
2x -6
2x 1
This gives us:
(2x - 6) (2x + 1) = 0
Assume each value in the parenthesis to be 0
PART I:
2x - 6 = 0 ⇒ Given equation
2x - 6 + 6 = 0 + 6 ⇒ Add 6 on both sides
2x / 2 = 6 / 2 ⇒ Divide 2 on both sides
\(\boxed{x=3}\)
PART II:
2x + 1 = 0 ⇒ Given equation
2x + 1 - 1 = 0 - 1 ⇒ Subtract 1 on both sides
2x / 2 = -1 / 2 ⇒ Divide 2 on both sides
\(\boxed{x=-\frac{1}{2} }\)
Hope this helps!! :)
Please let me know if you have any questions
If y = x -x and x= -12, find y. No bots!!!!!
Answer:
Since
y
is inversely proportional to
x
, we can wite
y
=
k
x
,
where
k
is a constant.
Since
y
=
2
when
x
=
8
,
2
=
k
8
⇒
k
=
16
Now, we know the complete formula
y
=
16
x
.
If
x
=
12
, then
y
=
16
12
=
4
3
.
I hope that this was helpful.
Step-by-step explanation:
value is 12, mean is 20, and standard deviation is 2.8
Lets find the upperlimit and lower limit of data .
Lower limit=Mean-SD=20-2.8=17.2Upper limit=Mean+SD=20+2.8=22.8Hence the value 12 isn't included in data
Step-by-step explanation:
Lower limit= Mean-Standard Deviation=17.2
Upper limit=Mean+ Standard Deviation= 22.8
Hence, 12 isn't included in data