Answer:
See text below or attached figure
Step-by-step explanation:
Given arcs
AC=70
CR=18
therefore AR = 88
RB=80
BE=130
therefor EA = 360-(70+18+80+130) = 360-298 = 62
angles will be denoted (1) for angle 1, etc.
We ASSUME
ARD is a straight line
PFRB is a straight line
FCE is a straight line
Using inscribed angle theorem, angles subtended by chords/arcs equal to half the arc central angle.
Therefore
(4)=80/2=40
(13)=130/2=65
(12)=62/2=31
(11)=70/2=35
(5) = (70+18)/2 = 44
Consider triangle AEG,
(7)=(13)+(11)=65+35=100 [exterior angle]
Consider triangle EGB,
(10)=180-100-31 = 49 [sum of angles of a triangle]
Consider triangle AEH,
(3) = 180-(4)-(13)-(11) = 180-40-65-35 = 40 [sum of angles of a triangle]
From cyclic quadrilateral ARBE,
ARB+AEB=180 =>
ARB=180-AEB=180-(35+49) = 96
By the intersecting secants theorem,
(2) = (130-18)/2 = 56 [secants FE, FB]
(1) = (130+62 - (18+70))/2 = 104/2 = 52 [secants PA,PB]
(8) = (130+62 -80)/2 = 112/2 = 56
ARD is straight line (see assumptions above)
(9) = 180-96 = 84 [sum of angles on a line]
ARP = (9) = 84 [vertically opposite angles]
Consider triangle ARP
(14) = 180-52-84 = 44
Consider tangent PA
(15) = 180-(44+40+65) = 31 [sum of angles of a triangle]
Consider triangle ABD
(6) = 180 - (40+44+56) = 40 [sum of angles of a triangle]
This completes the search for all sixteen angles, as shown in the diagram, or in the text above.
How do I find the formula?
Step-by-step explanation:
Volume of a cube = side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed. If a square has one side of 4 inches, the volume would be 4 inches times 4 inches times 4 inches, or 64 cubic inches.
So, given your question,
each side of the cube will be 3
because 3 × 3 × 3 = 27
Hope this helps.
A pack of 6 batteries of the same type costs £2.79. By caculating the price, per battery, determine if this is better value. You must show your working.
Answer:
£0.465. It is a better value.
Step-by-step explanation:
If a pack of 6 batteries costs £2.79, price of a battery can be calculated as shown;
6batteries = £2.79
1 battery = x
x = cost of a battery
6x = £2.79
x = £2.79/6
x = £0.465
Price per battery will be £0.465. This price is a better value since the price is lesser than the cost of the 6batteries (£2.79) in a pack.
Which function is represented by this graph?
Answer:
Option B.
Step-by-step explanation:
From the given graph it is clear that it is a V-shaped graph. It means, it is the graph of absolute function.
The vertex form of an absolute function is
[tex]y=a|x-h|+k[/tex]
where, a is a constant and (h,k) is the vertex.
From the given graph it is clear that the vertex is at (7,-3). It means h=7 and k=-3.
[tex]y=a|x-(7)|+(-3)[/tex]
[tex]y=a|x-7|-3[/tex] ...(1)
It passes through (4,0).
[tex]0=a|4-7|-3[/tex]
[tex]3=3a[/tex]
[tex]1=a[/tex]
Put this in (1).
[tex]y=1|x-7|-3[/tex]
[tex]y=|x-7|-3[/tex]
Therefore, the correct option is B.
what is the 8th term of this sequence 1, -1/2, 1/4, -1/8
Answer:
-1/128
Step-by-step explanation:
1,-1/2,1/4,-1/8,1/16,-1/32,1/64,-1/128
What is the slope of the line through (-9, 6) and (-6, -9)? A/ ⅕ B/ 5 C/ -5 D/ -⅕
Answer:
-5
Step-by-step explanation:
We can find the slope between two points by using
m = (y2-y1)/(x2-x1)
= ( -9-6)/(-6 - -9)
=(-9-6)/( -6+9)
-15/3
-5
Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 9, 6) and (x₂, y₂ ) = (- 6, - 9)
m = [tex]\frac{-9-6}{-6+9}[/tex] = [tex]\frac{-15}{3}[/tex] = - 5 → C
HELP ME PLEASEEEEEEEE
X Y
-2 11
-1 7
0 3
1 -1
2 -5
-2 = 16 times minus 2 plus 4y equals to 12
-1 = 16 times minus 1 plus 4y equals to12
0 = 16 times 0 plus 4y equals to 12
1 = 16 times 1 plus 4y equals to 12
2 = 16 times 2 plus 4y equals to 12
Therefore,
-2 = 16 * -2 + 4y = 12
-32 + 4y = 12
4y = 12 + 32
4y = 44
y = 44/4
y = 11
-1 = 16 * -1 + 4y = 12
-16 + 4y = 12
4y = 12 + 16
4y = 28
y = 28/4
y = 7
0 = 16 * 0 + 4y = 12
0 + 4y = 12
4y = 12 + 0
4y = 12
y = 12/4
y = 3
1 = 16 * 1 + 4y = 12
16 + 4y = 12
4y = 12 - 16
4y = -4
y = -4/4
y = -1
2 = 16 * 2 + 4y = 12
32 + 4y = 12
4y = 12 - 32
4y = -20
y = -20/4
y = -5
FAST before Mod's delete this. Plz help me share this link as I have no social media. Copy it to your clipboard fast Ctrl + C. ::(( Copy fast: gofundme. com /f /i039m-sorry-for-the-wrong-things-i-did ? utm_ source = customer & utm_medium = copy_link & utm_campaign = p_cf+ share- flow-1 Plz don't report. Plz :( =( =(
Answer:
then get social media
Step-by-step explanation:
which one of the following is a type of face found on a platonic solid. A,regular hexagon, B. regular octagon, C.regular nonagon, D. regular pentagon
PLEASE NEED OF AN ANSWER
Answer:
B. regular octagon
I hope this will help you
The cross sectional area of a square shaped tunnel is 25m², the volume of the tunnel is 575m³. How long is the tunnel?
Answer:
23 mSolution,
Let the length of tunnel be 'l'
Area=25 m^2
Volume of tunnel= cross sectional area* length
[tex] or \: 575 = 25 \times l \\ or \: l = \frac{575}{25} \\ l = 23 \: m[/tex]
Hope this helps..
Good luck on your assignment..
How many kilometers is it from the main gate to Manatee Springs? (Hint: To convert from
yards to kilometers, multiply by 0.0009144). Round answer to the nearest hundredth kilometer
Manatee Springs
Elephant
House
3,500 yds
- 200 yds
Tran Depot
2000
Bird Sanctuary
Main Gate
(SHOW WORK)
Answer:
6.04 km
Step-by-step explanation:
From the image attached, both triangles form are similar to each other because their corresponding angles are equal, therefore they are equiangular triangles. equiangular triangles have the same shape but different sizes and the ratio of their corresponding sides are equal.
Therefore since their corresponding sides are equal we can calculate the distance from the main gate to Manatee Springs. It is given by:
[tex]\frac{3500\ yards}{2000\ yards} = \frac{4200\ yards}{x}\\ x= \frac{4200\ yard*2000\ yards}{3500\ yards}=2400\ yards[/tex]
x = 2400 yards.
The distance from the main gate to Manatee Springs = x + 4200 yards = 2400 + 4200 = 6600 yards
The distance from the main gate to Manatee Springs = 6600 yards = (6600 * 0.0009144) km = 6.04 km
The distance from the main gate to Manatee Springs = 6.04 km
I Need the answer ASAP PLEASE HELPPPP What is 7/ 16 · 1 /2 ? A) 7/ 8 B) 7/ 32 C) 14/ 32 D) 7 /64
Answer:
B
Step-by-step explanation:
7/16 times 1/2 would be 7/32 because when you multiply fractions you multiply the top and the bottom like this
7 x 1
and 16 x 2
using this logic you can multiply both fractions to make
7/32
Answer:B) 7/ 32
alll you gotta do is multiply across and its already simplified
The sum of all digits in the numbers 44, 45 and 46 is 27 because (4+4)+(4+5)+(4+6)=27. Find the sum of digits in the first 25 counting numbers: 1, 2, 3, …, 25.
In other words....
1+2+3+4+5+6+7+8+9+1+0+1+1+1+2+1+3+1+4+1+5+1+6+1+7+1+8+1+9+2+0+2+1+2+2+2+3+2+4+2+5
Answer:
The sum of all digits in the first 25 counting numbers is 127
Hope this helps
(show all your working out)
Madeeha’s father won £149
He shared the money between his three children in the ratio 6:3:1
Madeeha was given the biggest share.
a) Work out how much money Madeeha was given.
b) She saved of her share.
How much did she save?
Answer:
She received £89.4
and she saved £67.05
Step-by-step explanation:
The complete question is as follows;
Madeeha’s father won £149.
He shared the £149 between his three children in the ratio 6:3:1. Madeeha was given the biggest share.
(a) Work out how much money Madeeha received.
(b) Madeeha saved 3/4 of her share.
Work out how much Madeeha saved.
Answer;
The total ratio is 6 + 3 + 1 = 10
Since madeeha was given the biggest share, that means she is given 6 out of 10 portions
So the amount she was given would be ;
6/10 * 149 = £89.4
Now we were told she saved 3/4
Amount saved would be 3/4 * 89.4 = £67.05
Jessica rode 38 miles on a bus. The ride took 48 minutes. What was the average speed of the bus?
Answer: 47.5 miles per hour
Step-by-step explanation:
Speed = distance / time
48 minutes = 0.8 hours
Speed = 38 / 0.8
= 47.5 miles per hour
ANSWER: 21.235 m/s
Step-by-step explanation:
Distance travelled: 38 miles, 61155.1 m(SI unit of speed or average speed is m/s so distance has to be in meters and time has to be in seconds)
Time taken:48 minutes, 48×60 seconds= 2880 seconds
Average speed= total distance by total time taken: 61155.1/ 2880= 21. 235 m/s
Briana is excited because she has just been hired by a family to babysit on Saturdays. She’s looking forward to earning some extra spending money! The family will pay her $12 per hour for a maximum of 8 hours. Brianna makes a table to show her earnings for different numbers of hours. Help her complete the table.
List the hours from 1 to 8
Multiply the hours by how much she is paid per hour ( $12)
X: 1, 2, 3, 4, 5, 6, 7, 8
y: 12, 24, 36, 48, 60, 72, 84, 96
Pls help ASAP! Given a polynomial f(x), if (x − 1) is a factor, what else must be true? f(0)= 1 f(1)=0 f(-1)=0 f(0)=-1
Answer:
f(1) = 0
Step-by-step explanation:
If you set x - 1 equal to 0 and solve, you get x = 1 when y is 0
Answer: x+1 plus the fator
Step-by-step explanation:
Solve the right triangle, ΔABC, for the missing side and angles to the nearest tenth given sides a = 13.2 and b = 17.7.
Answer:
Side c = 22.1
Angle A = 36.7°
Angle B = 53.2°
Angle C = 90.1°
Step-by-step explanation:
Triangle ABC is a right angle
Where given sides
a = 13.2
b = 17.7
We can find c using Pythagoras Theorem
Pythagoras Theorem for a right angle triangle=
c² = a² + b²
c = √(a² + b²)
c = √(13.2² + 17.7²)
c = 22.08008
≈To the nearest tenth = 22.1
We can solve for Angles A, B, C using Cosine rule
Angle A
a² = b² + c² - 2bc × Cos A
Cos A = b² + c² - a²/2bc
A = Arc cos ( b² + c² - a²/2bc)
A = Arc cos ( 17.7² + 22.1² - 13.2²/2 × 17.7 × 22.1)
A = 36.67563°
≈ To the nearest tenth = 36.7°
Angle B
b² = a² + c² - 2ac × Cos B
Cos B = a² + c² - b²/2ac
B = Arc cos (a² + c² - b²/2ac)
B = Arc cos(13.2² + 22.1² - 17.7²/ 2 × 13.2 ×22.1)
B = 53.21647°
≈Approximately to the nearest tenth = 53.2°
Angle C
c² = a² + b² - 2ab × Cos C
Cos C = a² + b² - c²/2ab
C = Arc cos ( a² + b² - c²/2ab)
C = Arc cos ( 13.2² + 17.7² - 22.1²/2 × 13.2 × 17.7)
C = 90.1079°
≈ to the nearest tenth = 90.1°
Graph the inequality y > |x + 1| – 1. Which point is NOT part of the solution? (–1, 2) (1, −1) (–1, 0) (1, 3)
Answer:
(1,-1)
Step-by-step explanation:
If you try plugging in the numbers for x in the equation y > Ix + 1I - 1, you'll find the answer.
Which is the correct equation for calculating the kinetic energy of an object? K times E = m times g times h. K times E = one half m v squared. K times E = one half a t squared. K times E = one quarter g squared.
Answer:
KE = 1/2mv²
Step-by-step explanation:
The answer above is the formula for calculating kinetic energy. It is wise to remember it.
Answer:
Here is the answer np! :)
Step-by-step explanation:
A car is traveling at a speed of 75 miles per hour. What is the car's speed in miles per minute? How many miles will the car travel in 20 minutes? Do not round your answers.
Answer:
1.25MilesPerMinute
Step-by-step explanation:
Please help with the right answer.
Find the domains of the following functions: y= 1/x-2
Answer:
x is all real numbers, where x ≠ 2
Step-by-step explanation:
Domain is the input of x-values that can work in a function. Since we can't have 0 in the denominator (undef error), we have to exclude x = 2, as it will make the denominator 0. However, every other x-value works.
Work out the sum of the interior angles of any quadrilateral.
Answer:
The sum of the interior angles is 360 degrees.
Step-by-step explanation:
Can someone help me with this question please.
Answer: The length of PQ is 37 KM
Step-by-step explanation:
(x+15) + 3(x+15)+ x=245
distribute
(x+15) + 3x+45+x
remove parenthesis
x + 15 + 3x + 45 + x
Add like terms
5x + 60 = 245
Subtract 60 from both sides
5x + 60 - 60 = 245 - 60
5x = 185
divide by 5
x = 37
<!> Brainliest is appreciated! <!>
Sean los ángulos a y B, donde la suma de la mitad de a mas la tercera parte de B es igual a 15. calcula el doble del cociente del seno de 3a y el coseno de 2B. Urgente pls a es alpha y B es beta por si acaso
Answer:
Supongo que tenemos dos ángulos A y B
"la mitad de A mas la tercera parte de B es igual a 15°" (también supongo que son grados)
A/2 + B/3 = 15°
A/2 = 15° - (B/3)
A = 30° - 2*(B/3)
Ahora queremos calcular:
2*sin(3*A)/cos(2*B)
pero podemos reemplazar A por lo que tenemos arriba:
2*sin(3*(30° - 2*(B/3)))/cos(2*B)
2*sin(90° - 2*B)/cos(2*B)
y como sabemos,
Sin( 90° - x) = Sin(90°)*cos(-x) + cos(90°)*sin(-x) = cos(-x) = cos(x)
entonces:
2*sin(90° - 2*B)/cos(2*B) = 2*cos(2*B)/cos(2*B) = 2*1 = 2.
Trig work i don’t understand. pls help
Answer: A
Step-by-step explanation:
So we know that to find the area of a triangle you have to multiply the base times the height and divide it by two or multiply it by 1/2.Looking the information given it say that theta is equal to 26 degrees and the length of a or the hypotenuse is 25 and b which in this case is the base is 32. So the information gives us the base but now we need to find the height.
To find H we need to apply trigonometry solve for h the height.
As we could see theta which is 26 degrees is opposite the height and we know the hypotenuse length. So using soh cah toh we have to know that the length of h is going to be using the sin formula opposite over hypotenuse.
[tex]sin(26)=\frac{h}{25}[/tex] solve for h by multiplying both sides by 25.
h= 25 sin(26)
h= 10.96 is being rounded to the nearest hundredth because that is essential
Now we know H is equal to 10.96 which is the Height so now we have all the information we need the height and the base.
Multiply 10.96 by 32 and divide it by 2.
10.96 * 32 = 350.72
350.72 /2 = 176.36
The best answer is A because that is the only best approximation to 175.35.
which fraction has a repeating decimal expansion
Answer:
Fractions whose reduced form have denominators with factors other than 2, 5 will have repeating decimal expansions.
Step-by-step explanation:
The decimal expansion will terminate only if the fraction can be written an some numerator over a denominator that is a power of 10. hope this helps you :)
What is the y-value in the solution to this system of linear equations?
4x + 5y = -12
-2x + 3y = -16. -4
-2
2
5
Answer:
I tried this and I found that the y-value here is -4
Answer:
-4/A
Step-by-step explanation:
Edge2020 Unit test prep
What type of triangle has these side lengths
Answer:
Option (C)
Step-by-step explanation:
Given sides of a triangle are 2, [tex]\sqrt{12}[/tex] and [tex]\sqrt{19}[/tex].
Option (A).
If the triangle is a right triangle.
By Pythagoras theorem,
(Longest side)² = (Leg 1)² + (Leg 2)²
[tex](\sqrt{19})^2=2^2+(\sqrt{12})^2[/tex]
19 = 4 + 12
19 = 16
Not true.
Therefore, its not a right triangle.
Option (B).
If it is a triangle following conditions will be followed.
1). a + b > c
2). b + c > a
3). a + c > b
For the given sides of the triangle,
1). 2 + √12 > √19 [True]
2). 2 + √19 > √12 [True]
3). √12 + √19 > 2 [True]
Therefore, the given measures of the sides will form a triangle.
Option (C)
By Pythagorean inequality theorem,
If c² = a² + b² → Right triangle
If c² > a² + b² → Obtuse triangle
If c² < a² + b² → Acute triangle
Since, (√19)² > 2² + (√12)² → 19 > 4 + 12
Therefore, the given triangle is an Obtuse triangle.
Option (D).
Not true. It's an obtuse triangle.
Please help ! Need answers. ASAP I’m not sure how to do them . Please give answers to both questions:)
Answer:
a= 30 b=-78
Step-by-step explanation:
Answer:
1) Option 1
2) Option 2
Step-by-step explanation:
1) 2df+3de
Where d = 10, e = -1 and f = 3
=> 2(10)(3) + 3(10)(-1)
=> 60 - 30
=> 30
2) -2ghi + 3hi
Where g = -5, h = -3 and i = 2
=> -2(-5)(-3)(2) + 3(-3)(2)
=> -60 - 18
=> -78