Answers
Answer:
C. [tex]9\pi[/tex]
Step-by-step explanation:
We proceed to solve for [tex]x[/tex] by the Pythagorean Theorem:
[tex](x+1)^{2} = (x-1)^{2} + (2\cdot x - 4)^{2}[/tex] (1)
[tex]x^{2} + 2\cdot x + 1 = (x^{2}-2\cdot x + 1) + (4\cdot x^{2}-16\cdot x + 16)[/tex]
[tex]x^{2} + 2\cdot x + 1 = 5\cdot x^{2}-18\cdot x + 17[/tex]
[tex]4\cdot x^{2} -20\cdot x + 16 = 0[/tex]
[tex](2\cdot x)^{2} -10\cdot (2\cdot x) + 16 = 0[/tex]
[tex](2\cdot x -8)\cdot (2\cdot x -2) = 0[/tex]
There are two different solutions:
[tex]x_{1} = 4[/tex], [tex]x_{2} = 1[/tex]
A solution of [tex]x[/tex] is considered realistic when the length of every side of the triangle is a not negative number.
[tex]x_{1} = 4[/tex]
[tex]UV = 2\cdot (4) - 4[/tex]
[tex]UV = 4[/tex]
[tex]WU = 4 - 1[/tex]
[tex]WU = 3[/tex]
[tex]WV = 4 + 1[/tex]
[tex]WV = 5[/tex]
[tex]x_{2} = 1[/tex]
[tex]UV = 2\cdot (1) - 4[/tex]
[tex]UV = -2[/tex]
[tex]WU = 1 - 1[/tex]
[tex]WU = 0[/tex]
[tex]WV = 1 + 1[/tex]
[tex]WV = 2[/tex]
The only realistic set of solutions is for [tex]x = 4[/tex], and the radius of the circle is represented by the line segment [tex]WU[/tex]: [tex]r = 3[/tex]
And the area of the circle ([tex]A[/tex]) is calculated from the following formula:
[tex]A = \pi\cdot r^{2}[/tex]
[tex]A = \pi\cdot (9)[/tex]
[tex]A = 9\pi[/tex]
The correct answer is C.
Related Questions
Solve the following quadratic equation by using the Quadratic Formula: X²+ 2x - 3
Answers
Find the area of the sector
Answers
Find the area of the full circle:
Area = pi x r^2
Area = 3.14 x 17^2
Area = 907.46 square units
A full circle is 360 degrees. The sector is 120degrees.
Multiply the area of the circle by the sector degrees/ full circle degrees
907.46 x 120/360 = 302.486 square units round off as needed.
Answer:
289/3[tex]\pi[/tex] m² or 302.6400923... m²
Step-by-step explanation:
These type of questions are very simple, you just have to know how to approach them properly. I'll give you the general structure using this as an example for your understanding.
The general structure goes like this:
Find the area of the entire circleUsing the angle, find out how much of the circle is covered by the sector.Multiply answer from Step 2 from the area to figure out the area of the sector.Area of a circle is [tex]\pi r^{2}[/tex], so [tex]\pi[/tex]×17² = 289[tex]\pi[/tex] m²
The angle is 120° out of 360°, think of a sector as the percentage of the area of the circle.
120/360 = 1/3
1/3 × 289[tex]\pi[/tex] = 289/3[tex]\pi[/tex] m² or 302.6400923... m²
Triangle ABC ~ Triangle DEF. Measure of angle A = 20
degrees and measure of angle F = 65 degrees. AB=10, DE = 15, EF= 12.
Find measure of angles B, E, D and C and the length of BC.
Answers
Answer:
B=95°
E=95°
D=20°
C=65°
BC=7cm
Step-by-step explanation:
the triangles look like they are identical, just different in size only. Since DE= 15 and AB=10 that may mean that they have a 5cm difference making side BC= 7cm since EF= 12 minus 5 equals 7cm. Now for the other angles, a triangle no matter what,if we put all their angles together equal 180°. We already know angle A= 20 so the same applies to angle D. We also know that angle F=65 degrees, that makes angle C the same. The only thing that's left are angles B and E that can be found by adding our other angles. So if A+C(20+65)=85 then 180-85=95 degrees is angle B and since the triangles are identical the same goes to E.
In a competition, a prize is won every 2018 minutes. Work out an estimate for the number of prizes won in 1 year. You must show your working
Answers
Answer:
260
Step-by-step explanation:
Number of hours in one year = 365 x 24 x 60 = 525600
(365 days, 24 hours per day, 60 minutes per hour)
One prize is won every 2018 minutes so in 525600 minutes
525600 / 2018 = 260 prizes will be won (The answer is 260.46, which rounds to 260)
PS: Can I pls get brainliest? I need it to rank up
A school club visits a science museum. Student tickets cost $10 each.
Non-student tickets cost $15 each. The club paid $300 for the tickets.
Which equation below could model this situation? *
A. Y=300(15+10)
B. 300=10x + 15y
C. 25x=300
D. Y=300+10x
Answers
Which inequality explains why these three segments cannot be used to construct a triangle?
Answers
Answer:
Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side. Iliana cannot construct a triangle because the sum of the two smaller sides will be greater than the third side.
farmer joe used 2/13 bags of seeds on each acre of land. If there are 6 acre of land, how much seed did he use?
Answers
Answer:
12/13 bags
Step-by-step explanation:
2/13 * 6 = 12/13
6x - y= 16 and 3x + 2y + -12 Answer.
Answers
Answer:
x= 4/3
y= -8
if you ment 3x + 2y = -12 in the second problem
Step-by-step explanation:
A scalene triangle has the lengths 6, 11, and 12. Keyla uses the law of cosines to find the measure of the largest angle. Complete her work and find the measure of angle Y to the nearest degree.
Answers
Answer:
The maximum angle is 84.3 degree.
Step-by-step explanation:
Sides of a triangle is
a = 6 , b = 11, c = 12
The maximum angle is opposite to c.
So,
[tex]a =6, b =11, c = 12 \\\\cos C =\frac{a^2+b^2-c^2}{2 ab}\\\\cos C =\frac{36+121-144}{2\times 6\times 11}\\\\cos C = \frac{13}{132}\\\\cos C = 0.0985\\\\C =84.3^o[/tex]
Answer:
The person above got it wrong its 84
Step-by-step explanation:
got it wrong on edge
easy simple math
39.99 x 7.25
Answers
Answer:
289.92
Step-by-step explanation:
Multiply the numbers together
[tex]\longrightarrow{\green{289.9275}}[/tex] ✅
Step-by-step explanation:
[tex]39.99 \times 7.25 \\ \\ = 289.9275[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
Two 6-sided dice are rolled at the same time. What is the probability that a 4 is rolled on both dice? Give your answer as a fraction.
Answers
the first one has a probability of 1/6
the second one or 1/6
if you multiply them together you get 1/36
They were multiplied together since the two events depend on each other. If one does nit get a 4, then both of them will obviously not have a 4
Simplify........................
Answers
Answer:
[tex]\frac {x^{3}-4x^{2}-20x+32}{x^{3}+2x^{2}-4x-8}[/tex]
Step-by-step explanation:
make the denominator same
[tex]\frac{(x^{2}-4)(x-2)}{(x^{2}-4)(x+2) }-\frac{(2x+20)(x+2)}{(x^{2}-4)(x+2)}[/tex]
then expand
[tex]\frac {x^{3}-2x^{2}-4x+8}{x^{3}+2x^{2}-4x-8} - \frac {2x^{2}+24x+40}{x^{3}+2x^{2}-4x-8}[/tex]
join
[tex]\frac {x^{3}-4x^{2}-20x+32}{x^{3}+2x^{2}-4x-8}[/tex]
i think but not sure
Answer:
[tex] \frac{x - 2}{x + 2} - \frac{2x + 20}{ {x}^{2} - {2}^{2} } \\ \frac{x - 2}{x + 2} - \frac{2x + 20}{(x + 2)(x - 2)} \\ = \frac{ {(x - 2)}^{2} - (2x + 20)}{(x + 2)(x - 2)} \\ = \frac{ {x}^{2} - 4x + 4 - 2x - 20 }{(x - 2)(x + 2)} \\ = \frac{ {x}^{2} - 6x - 16 }{(x2)(x + 2)} \\ = \frac{(x - 8)(x + 2)}{(x + 2)(x - 2)} \\ = \frac{(x - 8)}{(x - 2)} [/tex]
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answers
Answer:
Step-by-step explanation:
Question 1 = 2002
2002 - 2000 = 2 (the years since 2000)
y = (275 x 2) + 50
y = 875
Question 2 = 1425 likes
2005 - 2000 = 5 (the years since 2000)
y = (275 x 5) + 50
y = 1425
Question 3 = 2018
Since y = 5000
5000 - 50(the extra likes) = 4950
4950 / 275 = 18 (the years since 2000)
2000 + 18 = 2018 (the year)
help me with this mathematics
Answers
Answer: B
Step-by-step explanation: 65/100 = 65%
B, 65
Explanation:
65:100 = 0.65
0.65 = 65%
Hope this helped :)
Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes Is true?
Answers
Answer:
They are congruent.
Step-by-step explanation:
You can tell because a string of rigid transformations could lay them directly on top of each other without any parts hanging off.
You can reflect shape 2, rotate it, then translate it up to lay them on top of each other.
Select the correct graph of the equation.
Answers
Answer:
A
Step-by-step explanation:
The -2 indicates that y would be -2; because A is the only option with that being true, we can eliminate all other potential options rather quickly.
I believe this is 3/5x-2 but please take pictures with all information in view so we can provide better answers!
Write and equation for a line that is parallel to the line 4y + 3x = 12
Answers
Answer:
y = -3/4 x + B
Step-by-step explanation:
B is the translation of the line across y-axis
Calculate the measure of angle D:
Answers
Answer:
The answer is 32
Step-by-step explanation:
A right triangle has a total of 180 degrees. As they give you 58 degrees and 90 degree, you just do 180 degrees - 58 degrees - 90 degrees.
Answer: 32
Step-by-step explanation:
Subtract the angle 58 and 90 since it is a right angle
Helpppppppppppppp meeeeeeeee
Answers
Step-by-step explanation:
Hey there!
From the given figure;
An exterior angle is 127°.
To find: value of"X"
Now;
x+127° = 180°. [Being linear pair]
or, X = 180° - 127°
or, X = 53°
Therefore, the value of "X" is 53°.
Hope it helps!
Answer:
53°
Step-by-step explanation:
the extended line(the base and the line that extends past the triangle) is 180°. With an extended line that is 180°, the inside angle must be 180° - the outside angle, and the outside angle must be 180° - the inside angle. if the angle on the outside is 127°, then the inside angle(x) should be 180° - 127° or 53°.
to verify: all the inside angles must equal to 180°
the angle on the top is 90°( when there is that square thing on an angle it means it is 90°) and the angle on the right is 53°, so the remaining angle is 180 - (90° + 53°) or 37°.
90° + 53° + 37° = 180 °
What is the slope given the two points?
(-3,12) & (4,5)
Answers
Answer:
-1
Step-by-step explanation:
(-3 , 12) & (4, 5)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{5 - 12}{4-[-3]}\\\\= \frac{-7}{4+3}\\\\=\frac{-7}{7}\\\\= -1[/tex]
Explanation:
Let, (-3,12) be (x1,y1) and (4,5) be (x2,y2)
We know that slope = (y2 - y1)/(x2 - x1)
So, slope of given two points = (5 - 12)/(4 - (-3))
= -7/(4+3)
= -7/7
= -1
Therefore, slope of given two points = -1
cuanto es 14° 15´ 12´ ´ X 2 ayuda por favor
Answers
Answer:
28° 30´ 24´ ´
Step-by-step explanation:
14° 15´ 12´ ´ x 2 = 28° 30´ 24´ ´
Answer:
nosee
Step-by-step explanation:
nada
Alice is given pocket money every week. She saves one-half of it, spends one-quarter of it on magazines and one-third of the remainder on sweets. She is left with 80 Gp in her purse.
Answers
Answer: in the beginning she has 1920 Gp.
Step-by-step explanation:
if someone answers this i won’t drop out
Answers
Answer:
d
Step-by-step explanation:
Will give brainliest!! Pls help
Directions: Simplify each term by factoring.
1. 3rs
2. 12xy
3. 5x^2
4. 36x^2
5. 25x^2
6. 30x^2
7. 5x^3
8. 24y^3
9. 9xy
10. 12x^4
Answers
Factoring means to break and make it shorter.
Answers:
1. [tex]3rs=3*r*s[/tex]
2. [tex]12xy=2*2*3*x*y[/tex]
3. [tex]5x^{2} =5*x*x[/tex]
4. [tex]36x^{2} =2*2*3*3*x*x[/tex]
5. [tex]25x^{2} =5*5*x*x[/tex]
6. [tex]30x^{2} =5*7*x*x[/tex]
7. [tex]5x^{3} =5*x*x*x[/tex]
8. [tex]24y^{3}= 2*2*2*3*y*y*y[/tex]
9. [tex]9xy=3*3*x*y[/tex]
10. [tex]12x^{4} =2*2*3*x*x*x*x[/tex]
hope this helps
A jar has one blue and 9 green marbles in it . What is the probability distribution of drawing a green marble?
Answers
Answer:
9/10
Step-by-step explanation:
one blue and 9 green = 10 marbles
P(green) = number of green / total
=9/10
what is the result of adding -2.9a t 6.8 and 4.4a - 7.3 if a=2 what is the value of the expression
Answers
Answer:
Step-by-step explanation:
2.5
please help find x!!
Answers
Answer:
X= 360- (180+35)
X= 145
Step-by-step explanation:
since angle at a point is same as angle in a circle =360°
And we've being given two values out of three that makes up the point. so we subtract the sum of the two values from the size of angle at a point
find a unknown length of the sides
Answers
Answer:
[tex]a = 3\sqrt{7}[/tex]
Step-by-step explanation:
Given
See attachment
Required
Determine (a)
To do this, we make use of Pythagoras theorem.
[tex]12^2 = a^2 + 9^2[/tex]
[tex]144 = a^2 + 81[/tex]
Collect like terms
[tex]a^2 = 144 -81[/tex]
[tex]a^2 = 63[/tex]
Take square roots
[tex]a = \sqrt{63}[/tex]
Expand
[tex]a = \sqrt{9*7}[/tex]
Split
[tex]a = \sqrt{9}*\sqrt{7}[/tex]
[tex]a = 3\sqrt{7}[/tex]
A bag contains red, white and black counters. The pie chart shows information about the counters in the bag. What fraction of the counters are red ? Give your answer in its simplest form.
Answers
Answer:
(120/360) *100% = 33 red counters
What is the correct value for n in the equation 12.5% of n = 350?
Answers
Answer:
What is 12.5 percent of 350? = 43.75.
Answer:
The correct value for n is 2800.
Step-by-step explanation:
We need to find the value of n. According to the given information, 12.5% of n is 350. Here the percentagle 12.5% must be converted to the equivalent 0.125.
Then the equation to be solved is 0.125n = 350, so that
350
n = --------- = 2800
0.125
The correct value for n is 2800.