Answer:
D
Step-by-step explanation:
Sector of Area=(theta/360)*pi*r^2
Sector of area=(135/360)*pi*19^2=(1083)/8 pi
What is the equation of this circle?
Answer:
(x-3)^2+y^2=8
Step-by-step explanation:
I'm going to go ahead and assume the center is (3,0). The radius can be found by computing the distance from the center, (3,0), to a point on the circle, (5,-2).
The distance between two points is calculated by doing sqrt((distance between x's)^2+(distance between y's)^2).
The distance between our x's is 2.
The distance between our y's is 2.
The square of each then is 4 and 4 respectively.
So we have the distance is sqrt(4+4)=sqrt(8).
The radius is sqrt(8).
The equation of a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is center and r is radius.
If r=sqrt(8), then r^2=8.
(h,k)=(3,0)
(x-h)^2+(y-k)^2=r^2
(x-3)^2+(y-0)^2=8
(x-3)^2+y^2=8
which one is the correct answer
Answer:
B.
Step-by-step explanation:
2x - 31 = - 2x - 314x = 0x = 0Other equations don't have any value of x.
Answer:
[tex]2x-31=-2x-31[/tex]Because if you see.. The component of x will get canceled in each of the other 3 options.. ( 2x - 2x) which means no solution.. In option B.. 2x + 2x will give 4x..= 31-31 = 0..
-------------------------
Hope it helps...
Have a great day!!
How thick is the crust layer of the earth in kilometers?
compare the slopes and y intercepts of the graphs of the equations in the linear system 8x + 4y =12 and 3y = -6x -15 to determine whether the system has one solution no solutions or infinitely many solutions explain
Answer:
No solutions
Step-by-step explanation:
Convert both equations into y = mx + b form, where m is the slope and b is the y intercept.
8x + 4y = 12
4y = -8x + 12
y = -2x + 3
Rearrange the other equation:
3y = -6x - 15
y = -2x - 5
So, both equations have a slope of -2. But, one has a y intercept of 3 and the other has a y intercept of -5.
Because the lines have the same slope but different y intercepts, the lines are parallel.
Parallel lines have no solutions, because they will never intersect.
So, the system has no solutions.
help on this question please! also if you can kindly explain it would be very much appreciated!!
Answer:
D. 50°
Step-by-step explanation:
We know that there are 3 line segments that are forming the angles. Based on that, we can safely say that each line segment is 180°. Given that, we can find the other 2 interior angles of the triangle. We know that one of the exterior angles is 90° so that interior angle also has to be 90° because both angles have to sum to 180. The 2nd exterior angle that we know is 140, so 180-140 = 40°. Since we know the other 2 angles of the triangle now and we know that all the angles of a triangle must sum to 180°, we add 90 and 40 to get 130 and then subtract that from 180 to get 50°. That would look something like this: 180-(90+40) = 180 - 130 = 50°. Hope this helps!
Answer
The measure of p is 50 degrees.
Explanation
You can see that p is located in a triangle.
The interior angles of a triangle always add up to 180 degrees.
So, to solve this problem, you can find the other interior angles, then subtract those from 180 to find p.
The exterior angles are 140 and 90 degrees. To find the measure of the interior angles, you subtract them from 180, (because the exterior angles and interior angles add up to 180).
The measure of the interior angles are 40 and 90 degrees; 180-140=40 and 180-90=90.
Now you can subtract the measure of the two interior angles from 180 to find p; 180-40-90=50.
Conjugate/Rational Number?
Please include a detailed explanation so I can learn to do it by myself, Thank you!
Answer:
1) [tex]\dfrac{2}{\sqrt{5} } = \dfrac{2 \cdot \sqrt{5} }{5}[/tex]
2) [tex]-\dfrac{5}{\sqrt{3} } = -\dfrac{5 \cdot \sqrt{3} }{3}[/tex]
3) [tex]\dfrac{\sqrt{2} + \sqrt{5} }{\sqrt{10} } =\dfrac{\sqrt{5} }{5} + \dfrac{ \sqrt{2} }{2}[/tex]
4) [tex]\dfrac{3 + \sqrt{2} }{\sqrt{3} } \times \dfrac{\sqrt{3} }{\sqrt{3} } = \sqrt{3} + \dfrac{\sqrt{6} }{3}[/tex]
5) [tex]\dfrac{\sqrt{3} }{\sqrt{5} + \sqrt{2} }= \dfrac{\sqrt{15} - \sqrt{6} }{3}[/tex]
Step-by-step explanation:
The rationalization of the denominator of the surds are found as follows;
1) [tex]\dfrac{2}{\sqrt{5} }[/tex]
[tex]\dfrac{2}{\sqrt{5} } \times \dfrac{\sqrt{5} }{\sqrt{5} } = \dfrac{2 \cdot \sqrt{5} }{5}[/tex]
[tex]\dfrac{2}{\sqrt{5} } = \dfrac{2 \cdot \sqrt{5} }{5}[/tex]
2) [tex]-\dfrac{5}{\sqrt{3} }[/tex]
[tex]-\dfrac{5}{\sqrt{3} } \times \dfrac{\sqrt{3} }{\sqrt{3} } = -\dfrac{5 \cdot \sqrt{3} }{3}[/tex]
[tex]-\dfrac{5}{\sqrt{3} } = -\dfrac{5 \cdot \sqrt{3} }{3}[/tex]
3) [tex]\dfrac{\sqrt{2} + \sqrt{5} }{\sqrt{10} }[/tex]
[tex]\dfrac{\sqrt{2} + \sqrt{5} }{\sqrt{10} } \times \dfrac{ \sqrt{10} }{\sqrt{10} } = \dfrac{\sqrt{20} + \sqrt{50} }{10 } = \dfrac{2\cdot \sqrt{5} + 5 \cdot \sqrt{2} }{10} = \dfrac{\sqrt{5} }{5} + \dfrac{ \sqrt{2} }{2}[/tex]
[tex]\dfrac{\sqrt{2} + \sqrt{5} }{\sqrt{10} } =\dfrac{\sqrt{5} }{5} + \dfrac{ \sqrt{2} }{2}[/tex]
4) [tex]\dfrac{3 + \sqrt{2} }{\sqrt{3} }[/tex]
[tex]\dfrac{3 + \sqrt{2} }{\sqrt{3} } \times \dfrac{\sqrt{3} }{\sqrt{3} } = \dfrac{3 \cdot \sqrt{3}+\sqrt{6} }{3 } = \sqrt{3} + \dfrac{\sqrt{6} }{3}[/tex]
[tex]\dfrac{3 + \sqrt{2} }{\sqrt{3} } \times \dfrac{\sqrt{3} }{\sqrt{3} } = \sqrt{3} + \dfrac{\sqrt{6} }{3}[/tex]
5) [tex]\dfrac{\sqrt{3} }{\sqrt{5} + \sqrt{2} }[/tex]
[tex]\dfrac{\sqrt{3} }{\sqrt{5} + \sqrt{2} } = \dfrac{\sqrt{5} - \sqrt{2} }{\sqrt{5} - \sqrt{2} } = \dfrac{\sqrt{15} -\sqrt{6} }{5 - 2} = \dfrac{\sqrt{15} - \sqrt{6} }{3}[/tex]
[tex]\dfrac{\sqrt{3} }{\sqrt{5} + \sqrt{2} }= \dfrac{\sqrt{15} - \sqrt{6} }{3}[/tex]
6) [tex]\dfrac{\sqrt{7} }{\sqrt{3} - \sqrt{5} }[/tex]
[tex]\dfrac{\sqrt{7} }{\sqrt{3} - \sqrt{5} } \times \dfrac{\sqrt{3} + \sqrt{5}}{\sqrt{3} + \sqrt{5}} = \dfrac{\sqrt{21} + \sqrt{35}}{{3} + {5}} = \dfrac{\sqrt{21} + \sqrt{35}}{8}[/tex]
[tex]\dfrac{\sqrt{7} }{\sqrt{3} - \sqrt{5} } \times \dfrac{\sqrt{3} + \sqrt{5}}{\sqrt{3} + \sqrt{5}} =\dfrac{\sqrt{21} + \sqrt{35}}{8}[/tex]
find the value of 'x' in each of the following figures.
Answer:
You Have to Find Answer Yourself
Step-by-step explanation:
By This - B+D+C = 130°-20°+E
Answer:
110 degrees
Step-by-step explanation:
when continuing line DC down to line AE, it creates a triangle with the intersection point at AE, C and E.
the angles in that triangle are
E (20 degrees)
the internal angle at C = 180 - 130 = 50 degrees
and the angle at the interception point at AE.
since CD is parallel to AB, that angle is equal to x.
the sum of all angles in a triangle is airways 180 degrees.
therefore this angle is
180 - 20 - 50 = 110 degrees = x
There are 175 lights on a tree. There are five more
red lights than green lights and three times as many
clear lights as red lights.
For red we could use the variable r and G for green, and c for clear.
Red is G+5
G is R-5
C is Rx3
This is like a guessing Game, you guess and check.
R=36
G=31
C=108
36+31+108=175
Mark Me Brainliest pls I lost 4 brain cells doing this TwT
Can someone help me with this math homework please!
9514 1404 393
Answer:
(a) y = -3/4x +36
Step-by-step explanation:
The slope of the rail is ...
m = rise/run = -9/12 = -3/4
The initial height of the rail is 36, so the slope-intercept equation for the rail is ...
y = mx +b . . . . . m = slope; b = initial value
y = -3/4x + 36
Answer:
(A) [tex]y=-\frac{3}{4}x+36[/tex]
Step-by-step explanation:
Here's what we know about the question:
- stairs start at a height of 36 inches
- stairs decreases 9 inches vertically for every 12 horizontal inches
Because the stairs decrease, the function will NOT be a positive function. Instead, it will be a negative function, so either (A) or (B).
The y-intercept, which is 36, is the same for both answer choices, so we need to find the correct slope to find the correct answer choice.
Slope is a fraction that is sometimes called rise over run (rise/run) to help write the correct slope. The rise is the vertical change and the run is the horizontal change.
In this question, our vertical change is -9 inches (it's negative because it decreases) and our horizontal change is 12 inches. Using the rise/run formula, we get a slope of -9/12. Simplified, it's -3/4.
So our answer is y = -3/4x + 36
Hope that helps (●'◡'●)
If m angle PQR = 141", find each measure.
Answer:
x=6
pqs=82
sqr=59
Step-by-step explanation:
13x + 4 + 10x - 1 = 141
23x + 3= 141
23x = 136
x = 136/23 = 6
~~~~~~~~~~~~~~~
pqs = 13x + 4 = 13(6) + 4 = 78+4 = 82
sqr = 10x - 1 = 10(6)-1 = 60 - 1 = 59
Answer:
x = 6
Angle PQS is 82
Angle SQR is 59
Step-by-step explanation:
13x + 4 + 10x - 1 = 141
Group like terms : 23x + 3 = 141
Subtract 3 from both sides to get 23x = 138
Divide both sides by 23 to get x = 6
Angle PQS: Plug 6 into x for 13x + 4 = 13 (6) + 4 = 82
Angle SQR: Plug 6 into x for 10x - 1 = 10 (6) -1 = 59
Which values of a and b in the exponential function y = a times b Superscript x would result in the following graph? On a coordinate plane, a curve approaches the x-axis in quadrant 3 and then decreases down through (0, negative 3) to quadrant 4. a. a = -3, b = 2 c. a = 3, b = 2 b. a = -1, b = 3 d. a = 2, b = -3 Please select the best answer from the choices provided A B C D
Answer:
[tex]a =-3[/tex] [tex]b =2[/tex]
Step-by-step explanation:
Given
[tex]y = ab^x[/tex]
[tex](x_1,y_1) = (0,-3)[/tex]
Required
Find a and b
Substitute [tex](x_1,y_1) = (0,-3)[/tex] for x and y in [tex]y = ab^x[/tex]
[tex]-3 = ab^0[/tex]
[tex]-3 = a * 1[/tex]
[tex]-3 = a[/tex]
Rewrite as:
[tex]a =-3[/tex]
The above implies that (a) is correct;
Hence:
[tex]a =-3[/tex] [tex]b =2[/tex]
So, the equation is:
[tex]y = -3(2)^x[/tex]
Answer: a=-3 b=2
Step-by-step explanation:
The function f(x) is shown on the graph.
What is f(0)?
• 12 only
• -2 and 3 only
• -2, -1, 1, and 2 only
• -2, -1, 1, 2 and 12
ASAP PLEASE !!!!!!!!
Multiply [tex]f(x)=\sqrt{x+10}[/tex] and [tex]g(x)=x+5[/tex]
Answer:
[tex]\sqrt{x+10}x+5\sqrt{x+10}[/tex]
Step-by-step explanation:
First, set up an equation:
[tex](\sqrt{x+10} )(x+5)[/tex]
Multiply [tex]\sqrt{x+10}[/tex] first by x, then 5.
[tex]\sqrt{x+10}x+5\sqrt{x+10}[/tex]
That's all
I hope this helps
how much balance we have to save to get Rs 120 interest on 3 years by 2% weight for Annum
Answer:
Principal, P = Rs. 2000
Step-by-step explanation:
Given the following data;
Simple interest (S.I) = Rs. 120Interest rate, R = 2%Time, T = 3 yearsTo find how much balance (principal) is to be saved, we would use the formula;
[tex] S.I = \frac {PRT}{100} [/tex]
Where;
S.I is the simple interest.P is the principal.R is the interest rate.T is the time measured in years.Making "P" the subject of formula, we have;
[tex] P = \frac {100S.I}{RT} [/tex]
Substituting the values into the formula, we have;
[tex] P = \frac {100 * 120}{2 * 3} [/tex]
[tex] P = \frac {12000}{6} [/tex]
Principal, P = Rs. 2000
Therefore, you'll have to save up to Rs. 2000.
NEED HELPP, which statements are true??????
Answer:
Choices 2 and 3 (READ ALL EXPLANATIONS)
Step-by-step explanation:
To find out the rate of changes for Bush A, you have to choose coordinate points from the graph that hit the line. Then after doing so, you have (1,12) (3,16) and (5,20). You then have to subtract both the x and y values from each other to get your rate of change. Resulting in 4/2, which when simplified is 2. From there you can start building your slope-intercept form equation. Now that you have your rate of change, you then have to find out the initial height of the bush before it started growing. Mathematically worded as the y-intercept. To find the y-intercept from a graph you look at the y axis and see which number hit the line from there. An approximate estimate would be 10. Your finished equation for Bush A should look like y=2x+10. The next equation you want to form is your Bush B one. However, the information you need is already provided to create your equation, y=2.5x+7.5. Now that you have both your equations for both bushes you can look at the statements below to see which answers are corrects based on your data. The first statement is incorrect because Bush A's rate of change is 2 and Bush B's is 2.5. Therefore Bush B's rate of change is bigger not vise versa. The second statement is correct because Bush B's initial value or y-intercept is 7.5 and Bush A's is 10. Therefore, Bush B's initial value is less than that of Bush A's. The third statement is also correct because after substituting the 7 from the 7 years into both equations because the x is the number of years the plant has grown from the original height, Bush A's result was 24 and Bush B's result was 25. Therefore Bush B would be 1 inch taller in that time frame.
in a shipment of 10,000 headlights, 5% are defective. what is the ratio of defective headlights to non-defective headlights
Answer:
19:1
Step-by-step explanation:
There are 10000 headlights. If 5% are defective, then 500 are defective. Since we took that 500 out, we get 9500 good headlights. The ratio is 9500:500 or 19:1
The ratio of defective headlights to non-defective headlights will be 19:1.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
There are 10000 headlights. If 5% are defective, then 500 are defective. Since we took that 500 out, we get 9500 good headlights.
The ratio will be calculated as below:-
Ratio = 9500:500
Ratio = 19:1
Therefore, the ratio of defective headlights to non-defective headlights will be 19:1.
To know more about percentages follow
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HELPP ASAPP
Match the numbers in standard notation with the corresponding numbers in scientific notation
8.64E9 = 8,640,000,000
8.64E14 = 864,000,000,000,000
8.64E11 = 864,000,000,000
8.64E13 = 86,400,000,000,000
Solve for: X=____ Y=____
Round to the nearest tenth.
X= 60°
Y=30°
X=22.6°
Y=67.4°
X=30°
Y=60°
X=67.4°
Y=22.6°
Answer:
D
Step-by-step explanation:
These diagrams can drive you crazy. The only way you can do this question is to ASSUME that the angle that looks like it is 90 really is 90. That is a very dangerous assumption.
Solution for y
cos(y) = adjacent / hypotenuse
adjacent = 12
hypotenuse = 13
Cos(y) = 12 / 13
Cos(y) = 0.92308
y = cos-1 (0.92308)
y = 22.6
Solution for x
x does not need trig to solve.
x = 180 - 90 - 22.6
x = 67. 4
So that's D
please help!!!!!!!!!!!
Sue Mitchell weighed 8 lb. 13 oz. when she was born. She now weighs 93 lb. 5
oz. How much has she gained since birth and what has been her average weight for
each year if she is 13 year old
Answer:
Weight gain = 84 lb 5 oz
Average weight gain = 6 lb 5 oz
Step-by-step explanation:
lb means pounds
16 oz = 1 pound
Convert the weight to pounds
Weight when she was born = 8 lb. 13 oz
= 8 pounds + 0.8125 pounds
= 8.8125 pounds
Present weight = 93 lb. 5
oz
= 93 pounds + 0.3125 pounds
= 93.3125 pounds
How much has she gained since birth
Weight gain = Present weight - Weight when she was born
= 93.3125 pounds - 8.8125 pounds
= 84.5 pounds
= 84 lb 5 oz
Weight gain = 84 lb 5 oz
what has been her average weight for each year if she is 13 year old
Average weight gain = Weight gain / 13
= 84.5 pounds / 13
= 6.5 pounds
= 6 lb 5 oz
Average weight gain = 6 lb 5 oz
If the area of a trapezoid below is 234 square units, what is the value of x?
Answer:
the formula for the area of a trapezoid is area =(top + bottom)/2 x height
using the given information we can solve
for x:
234 = (20+32)/2 X
234 = 52/2 X
234 = 26 X
X=234/26
X= 9 units
10. Find the mean, median of the following data.
5,3, 2, 6, 5, 2,5
a. 5,4
b. 6,8
c. 28,7
d. 4,5
Answer:
A
Step-by-step explanation:
You find the mean by adding all the values then dividing that sum by the amount of values
You find the median by putting the numbers in order from least to greatest and then find the middle number.
Katie had 30 stickers. Katie gave 2/3 of the stickers to her sister. Of the amount left, she gave 2/5 to her friend. How many stickers does Katie have left for herself
It took a skydiver 5 seconds to drop 400 feet. What is the rate (in feet per/second) of the skydiver's drop?
Answer:
katie has 6 stickers left
X + 1 by X is polymer or not, polymer means ,write its degrees?
i need helpppppp it’s urgentttttt!!!!
You are picking out an outfit. Which of the following options shows a closet with 24 different possible combinations of outfits? Select all that apply.
A) 6 shirts, 2 shorts, 3 hats
B) 12 shirts, 2 shorts, 2 hats
C) 3 shirts, 4 jeans, 2 hats
D) 6 shirts, 2 jeans, 2 hats
E) 12 shirts, 2 jeans, 1 hat
Answer:
C, D, E
Step-by-step explanation:
You just need to multiply the numbers together. Whichever choice is equal to 24, is your answer
So when you multiply for each one...
A is 36
B is 48
C is 24
D is 24
E is 24
So since C, D, E multiply to 24, they are the correct answers.
Add parentheses to the expression so that its value is 15:
3 × 4 + 5 - 2
Step-by-step explanation:
Technically this expression is 15 as is.
You could add the parenthesis around the 3x4 or the 5-2.
So your answer is either:
(3x4) + 5 - 2
or 3x4 + (5-2)
OR (3x4) + (5-2)
But in my opinion, you do not want to have too many sets of parenthesis, it crowds your equation too much.
Answer:
(3 × 4) + 5 - 2
Step-by-step explanation:
To do this problem, first you need to check to see what the original answer is.
3 × 4 + 5 - 2
12 + 5 - 2
16 - 2
14
-------------------
(3 × 4) + 5 - 2
12 + 5 - 2
17 - 2
15
The answer is:
(3 × 4) + 5 - 2
Hope this helped.
What is the answer to this question
Answer:
Step-by-step explanation:
a = 6
c = 6
b = 13
ac = 6 * 6 = 36
4 and 9 multiply to 36 and 4 and 9 add to 13
Which number line plots the integers –6, –2, and 5?
A number line going from negative 6 to positive 6. Points are at negative 6, negative 5, negative 2.
A number line going from negative 6 to positive 6. Points are at 2, 5, 6.
A number line going from negative 6 to positive 6. Points are at negative 5, 2, 6.
A number line going from negative 6 to positive 6. Points are at negative 6, negative 2, 5.
Answer:
Một trục số đi từ âm 6 đến dương 6. Các điểm ở âm 6, âm 2, 5.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Question 2 of 10
Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
A. None of these
B. What may be true
C. What may be false
D. What must be true
SUBMIT