This line tells John that the point must lie in Quadrant 1 if r is positive or Quadrant 2 if r is negative. Therefore, the point will lie Quadrant 3 or 4 the angle of rotation.
How to find Polar Coordinates?
Step 1; John will start plotting the point by first of all seeing the sign of the radius and the value of the given angle.
Step 2; John will make a circle of the given radius, and plot the point at an angle given as a coordinate on the circle.
If r is positive, then the point will lie in Quadrant 1 or 2. However, If r is negative, then the point will lie in Quadrant 3 or 4.
In case r is positive, the point will lie in the same quadrant as the angle of rotation.
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Jack Dossey wears socks of two colours yellow and orange. he has altogether 20 yellow socks and 20 Orange socks in his drawer. supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair?
Answer:
2
Step-by-step explanation:
I don't know why am I so bad at math???
Find the different angle measures
The different angle measures are
1. [tex]m\angle EBD = 34^\circ[/tex]
2. [tex]m\angle ACE = 52^{\circ}[/tex]
3. [tex]m \overset{\LARGE\frown}{GB} = 76^\circ[/tex]
4. [tex]m \overset{\LARGE\frown}{GBD} = 256^\circ[/tex]
5. [tex]m \angle DBA= 90^\circ[/tex]
6. [tex]m \overset{\LARGE\frown}{GD} = 104^\circ[/tex]
7. [tex]m\angle DFC= 56^\circ[/tex]
Calculating measures of anglesFrom the question, we are to determine the measures of the different angles
1.
From the given information,
[tex]m \overset{\LARGE\frown}{HD} = 68^\circ[/tex]
This implies that the measure of the central angle is 68°
Then,
[tex]m\angle EBD = \frac{1}{2} \times 68^\circ[/tex] (Angle at the center is twice the angle at the circumference)
∴ [tex]m\angle EBD = 34^\circ[/tex]
2.
From the diagram
[tex]m\angle ACE + m\angle BED + 90^\circ = 180^\circ[/tex]
From the given information
[tex]m\angle BED = 38^\circ[/tex]
Then,
[tex]m\angle ACE + 38^\circ + 90^\circ = 180^\circ[/tex]
[tex]m\angle ACE + 128^{\circ} = 180^\circ[/tex]
[tex]m\angle ACE = 180^\circ-128^{\circ}[/tex]
[tex]m\angle ACE = 52^{\circ}[/tex]
3.
First, we will determine [tex]m \overset{\LARGE\frown}{GD}[/tex]
[tex]m \overset{\LARGE\frown}{GD} = 2 \times m\angle ACE[/tex] (Angle at the center is twice the angle at the circumference)
[tex]m \overset{\LARGE\frown}{GD} = 2 \times 52^\circ[/tex]
[tex]m \overset{\LARGE\frown}{GD} = 104^\circ[/tex]
But,
[tex]m \overset{\LARGE\frown}{GD} + m \overset{\LARGE\frown}{GB} = 180^\circ[/tex]
[tex]m \overset{\LARGE\frown}{GB} = 180^\circ - m \overset{\LARGE\frown}{GD}[/tex]
[tex]m \overset{\LARGE\frown}{GB} = 180^\circ - 104^\circ[/tex]
[tex]m \overset{\LARGE\frown}{GB} = 76^\circ[/tex]
4.
[tex]m \overset{\LARGE\frown}{GBD} = m \overset{\LARGE\frown}{GB} + 180^\circ[/tex]
[tex]m \overset{\LARGE\frown}{GBD} = 76^\circ +180^\circ[/tex]
[tex]m \overset{\LARGE\frown}{GBD} = 256^\circ[/tex]
5.
[tex]m \angle DBA= 90^\circ[/tex] (Tangent and diameter/ radius theorem)
If a tangent and a diameter meet at the point of tangency, then they are perpendicular to one another
6.
[tex]m \overset{\LARGE\frown}{GD} = 104^\circ[/tex] (As determined above)
7.
First, we will determine [tex]m\angle GFB[/tex]
[tex]m\angle GFB + m\angle EBD + 90^\circ = 180^\circ[/tex]
[tex]m\angle GFB = 180^\circ -(m\angle EBD + 90^\circ)[/tex]
[tex]m\angle GFB = 180^\circ - (34^\circ+90^\circ)[/tex]
[tex]m\angle GFB = 180^\circ - 124^\circ[/tex]
[tex]m\angle GFB = 56^\circ[/tex]
[tex]m\angle GFB = m\angle DFC[/tex] (Vertically opposite angles)
[tex]m\angle DFC= 56^\circ[/tex]
Hence, the different angle measures are
1. [tex]m\angle EBD = 34^\circ[/tex]
2. [tex]m\angle ACE = 52^{\circ}[/tex]
3. [tex]m \overset{\LARGE\frown}{GB} = 76^\circ[/tex]
4. [tex]m \overset{\LARGE\frown}{GBD} = 256^\circ[/tex]
5. [tex]m \angle DBA= 90^\circ[/tex]
6. [tex]m \overset{\LARGE\frown}{GD} = 104^\circ[/tex]
7. [tex]m\angle DFC= 56^\circ[/tex]
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What is the value of x
Answer:
x = 24
Step-by-step explanation:
Sinθ = opposite side / hypotenuse
Sin30° = AB/BC
½ = 12/x
x = 12 × 2
x = 24
Answer:
x = 24
Step-by-step explanation:
SOH (Sin = Opposite/Hypotenuse)
CAH (Cos = Adjacent/Hypotenuse)
TOA (Tan = Oppositie/Adjacent)
The angle 30 degrees is given. The two values we have are 12 and x. 12 is opposite of the angle and x is on the hypotenuse of the triangle. Because we know this, we can plug those values into one of our formulas from earlier. This gives us the formula for sine.
Sin(30) = 12/x
Plug Sin(30) into your calculator. This gives you the value Sin(30) = 0.5
0.5 = 12/x
Multiply each side by x
0.5x = 12
Divide off 0.5 from both sides
x = 24
Shira plants carrots in 4/10 of her garden and potatoes in 25/100 of her garden she wants to know what fraction of her garden has carrots and potatoes
Answer:
In the white box with the "?" PUT 40
final answer: 13/20
Step-by-step explanation:
4/10 + 25/100
can only be added if you find a common denominator. That is the step being asked for on your screen. 4/10 is the same as 40/100.
4/10 + 25/100
= 40/100 + 25/100
Keep the bottom, add the tops.
= (40+25)/100
= 65/100
always simplify when possible. 5 goes into both 65 and also 100
65/100
= 13/20
13/20 of Shira's garden is planted with carrots and potatoes.
Help me please I need it right now like now now
Answer:
$0.84
Step-by-step explanation:
What is the area of this figure? Please help.
The area of the composite figure can be found by summing the whole area that made up the figure. Therefore, the area of the figure is 213.5m²
Area of a composite figureThe area of the composite figure is the sum of the area of the whole figure.
Therefore, the composite figure can be divided into 2 triangles and two rectangles.
Hence,
area of triangle1 = 1 / 2 × 10 × 13 = 65 m²
area of the triangle2 = 1 / 2 × 15 × 7 = 52.5 m²
area of the rectangle1 = 8 × 3 = 24 m²
area of rectangle2 = 7 × 6 = 42 m²
area of rectangle3 = 5 × 6 = 30 m²
Therefore,
area of the composite figure = 65 + 52.5 + 24 + 42 + 30 = 213.5 meters squared
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May I please get help to this question.
Answer: 3
Step-by-step explanation:
Evaluate A² for A = -4.
Answer:
-4^2= 16
Step-by-step explanation:
a^2 when A=-4 means -4^2 which, when expanded means, -4*-4 that equals a positive 16 because the negatives cancel out.
Answer:
-4^2= 16
Step-by-step explanation:
Does anyone understand this?
Determine the degree of each polynomial listed.
1. y4 x3 v + 14
2. 2x + 6
3. 5y10 – 6x7y3 – 4y – 5
4. x3 +4y – 9
5. 60x2 y + 8
Answer:
811033Hope it helps.
(10 times 2) + 5 times 8 =
Find the factor of each ff.
x²+27x+49
Answer:
There are no factors.
Step-by-step explanation:
x²+27x+49 is prime.
If you vertically compress the linear parent function, f(x) = x, by a factor of 2,
what is the equation of the new function?
Answer:
f(2)=x
Step-by-step explanation:
Number one you did not give enough information for me to solve the question but from what you did provide I got the answer which is provided above
Prompt
How would paying off the lowest outstanding balance credit card first be beneficial over paying off the one with the highest
interest rate?
Answer:
NOT: Actually paying the one with the highest interest rate is logically the right thing to do, because you can shorten the amount that you spent on interest or charges by month, but paying off the lowest outstanding balance credit card first makes sense if you could transfer the interest balance which is the highest ...
Step-by-step explanation:
Answer:
Pay at least the minimum payment on all credit cards each month to avoid penalties. After that, work toward paying off the debt on the card with the highest interest rate. While some advocate for paying off your smallest debt first because it seems easier, you’ll save more on interest over time by chipping away at high-interest debt.
Step-by-step explanation:
100% on edge
PLEASE HELP ME WITH PROB AND STATS
6. Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.
Answer:
y = 5.07 + 0.850x
Step-by-step explanation:
You can check all equation on the calculator y =
The camera cost $540 if the sales tax is 7.2% what is the tax change and the total cost?
Answer:
$75 ?
Step-by-step explanation:
If this is wrong super sorry :)
the tax rate is 6.8%
what is the tax on $9.95
round to the nearest hundredth (explain your answer)
Determine the equation of the line passing through the points (−1,1) and (1,7).
Write the line in standard form Ax+By=C.
Answer:
[tex]3x - y = -4[/tex]
Step-by-step explanation:
To make things easier, let's first find the equation in slope-intercept form ([tex]y = mx + b[/tex] where m is the slope and b is the y-intercept.
1. Find the slope:
[tex]\frac{7 - 1}{1 - (-1)} = \frac{6}{2} = 3[/tex]
2. Find the y-intercept by plugging in (-1,1) into the equation [tex]y = 3x + b[/tex]
[tex]1 = 3(-1) + b[/tex]
so [tex]b[/tex] = 4
3. Therefore the equation of the line in slope-intercept form is [tex]y = 3x + 4[/tex]
4. To convert slope-intercept form into standard form, let's move the 3x over to the other side and divide by -1 to get rid of the negative.
Our result is [tex]3x - y = -4[/tex].
Hope this helps :)
Whoever answers these 6 area of composite shapes will get brainliest.
Thank you for your hard work!
Answer:
80 mi²63 in²32 m²44 cm²59.5 ft²48 km²Step-by-step explanation:
Q1
8 x 4 + 12 x 432 + 4880 mi²Q2
5 x 3 + 12 x 415 + 4863 in²Q3
4 x 2 + 8 x 38 + 2432 m²Q4
10 x 4 + 2 x 240 + 444 cm²Q5
5 x 2 + 11 x 4.510 + 49.559.5 ft²Q6
3 x 1 + 9 x 53 + 4548 km²Find the sum of the n terms using the formula a(1-r^n)/1-r 1,3/2,9/4,27/8,81/16, …
Answer:
[tex]S_5=\frac{211}{16}[/tex]
Step-by-step explanation:
We can easily see that the common ratio is [tex]r=\frac{3}{2}[/tex] and we are to find the first [tex]n=5[/tex] terms:
[tex]\displaystyle S_n=\frac{a_1(1-r^n)}{1-r}\\\\S_5=\frac{1(1-(\frac{3}{2})^5)}{1-\frac{3}{2}}\\\\S_5=\frac{1-\frac{243}{32}}{-\frac{1}{2}}\\ \\S_5=\frac{-\frac{211}{32}}{-\frac{1}{2}}\\ \\S_5=\frac{422}{32}\\\\S_5=\frac{211}{16}[/tex]
Jeff had $20. He spent
3/8 of his money on lunch. How much money does Jeff have left
order least to greatest -20 3/4, -15 1/2, -14 3/4,-1/4
Answer:
its already in order from least to greatest
Step-by-step explanation:
How does the radian measure of a central angle of circle O with radius 3 cm change when
circle O is dilated by a factor of 2? Explain.
Answer:
Step-by-step explanation:
The radius of the is extended to 2*3 = 6 cm.
The measure of the central angle is unchanged.
Which measure of spread is best for the data in the table?
City
Population
(thousands)
1
340
2
480
3
385
4
450
5
600
6
325
O A. range
OB. quartile
O C.
O D. interquartile range
mean absolute deviation
Answer:
the answer is C mean absolute deviation
A rectangular prism has a length of 20 meters, a height of 12 meters, and a width of 12 meters. What is its volume, in cubic meters?
PLEASE HELP ASAP ME AND MY FRIEND ARE STRUGGLING
Answer:
2880
Step-by-step explanation:
V=whl=12·12·20=2880
PLEASE HELP FOR BRAINLIEST :(((
Find the circumference and the area of a circle with radius 9m.
Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers.
The circumference and the area of a circle with a radius of 9m is 28.26
How to find the circumference
The circumference of a circle is its perimeter or distance around it. It is denoted by C in math formulas and has units of distance, such as millimeters (mm), centimeters (cm), meters (m), or inches (in). It is related to the radius, diameter, and pi using the following equations:
Given that:
Circumference of Circle = [tex]2\pi r[/tex]
[tex]9x=28.26[/tex]
[tex]9*3.14=28.26c[/tex]
[tex]or[/tex] [tex]28.26c[/tex] ÷ [tex]\pi(3.14)=9r[/tex]
Therefore, The circumference and the area of a circle with a radius of 9m is 28.26
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(a) Find the area of the shaded region in the figure below. (Take a = 3.14)
4 m
5 m
12 m
[31
(6)
(11)
(c)
14 m
TH
6m: fom
Ilm
*
- 7 m
5 m
th
The figure shows the plan of a room. Find the
(i)
perimeter of the whole room
area of the whole room
[3]
8
[2]
6
/13 cm 2
3
5
4
The diagram shows a circle of radius 13cm being divided into S equal sectors. Find
the
(i)
(1)
Area of the circle,
Total area of the sectors 1 , 3, 5 and 7
[Take 3.14]
Step-by-step explanation:
Firstly find the area if the parallelogram which is
=length of the base × vertical height
=
[tex]12m \times 5m[/tex]
=
[tex]60 {m}^{2} [/tex]
Now solve for the area of the circle
=
[tex]\pi {r}^{2} [/tex]
RADIUS = DIAMETER ÷2
[tex] \frac{4m}{2} [/tex]
=
[tex]2m[/tex]
so the area of the circle
=
[tex] \frac{22}{7} \times 2m \times 2m[/tex]
[tex] \frac{22}{7} \times 4 {m}^{2} [/tex]
[tex]12.57 {m}^{2} [/tex]
subtract the area of the circle from the parallelogram
=
[tex]60 {m }^{2} - 12.57 {m}^{2} [/tex]
=
[tex]47.43 {m}^{2} [/tex]
Done
If 27 out of 30 people passed a driving
test, what percent failed?
Answer:
10% failed the driving test
Step-by-step explanation:
27/30 = 90% and since 90% is what PASSED, 10% is what FAILED
this should be correct... if its not im sorry
Answer:
10% failed
27 / 30 is 90% so, 100% - 90% = 10%
Please mark Brainliest!!
4. Select all expressions that are equivalent to 3⁹ a. 83 b. (3.3) c. (34)²
Answer:
C and B
Step-by-step explanation:
Evaluate all the exponents
3^8: 6,561
8^3 = 512
(3 * 3) ^4 = 6,561
(3^4)^2 = 6,561
Options C and B would work.
please help me with this question !!
Answer:
x is (0,15), because when you place x as zero you'll the coordinate D when you plot these coordinates on your graph.
If f (2) = (2 - 3)2 +4 and g(2) = 23 + 2 Which statement is True
Answer:
HOPE THIS HElps
Step-by-step explanation:
Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function