The proof of the given statements is shown below:
What is tangent to a circle?A line segment which touches a circle specified to only one point is called a tangent to that circle.
1. given
2. A line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency.
3. Since the tangent is perpendicular to radius i.e., EFC is right angle then,
angle EFC =90
4. Sum of interior angles of a triangle is 180°.
5. proved above: angle EFC= 90
6. FEC + ECF= 180-90=90
7. As proved above
FEC + ECF=90, its shows that angle FEC and ECF are complementary angle.
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The Math Campers are grouped into groups with 9 members each. Each group is asked to form a circle and they will be sitting on the ground. If the seating arrangement is circular, in how many possible ways can the 9 members be seated?
A. 40320
B. 362880
C. 5040
D. 720
Answer:
B. 362880
Step-by-step explanation:
! means permutation which means
arrangement of people or things in
sequence or
linear order
9! = 362880
9! = 9*8*7*6*5*4*3*2*1 = 362880
2xy - 3x2y2 + 2xy +5x2y2
3. A _ is a figure that extends endlessly in all directions.
Answer:
A plane is a flat surface that extends endlessly in all the directions.
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Veronica is running in a charity run. She raised d dollars for the charity
by asking people to sponsor her. On average, each person gave $28.
If Veronica had 12 people sponsor her, what was the total amount she
raised?
Answer:
$336
Step-by-step explanation:
On average each person gave $28 dollars, if 12 people sponsored her, what did she raise?how to find this is very simple, she raised d =(total amount of money raised) in dollars, average means we assume that with any amount of people one person gave 28 dollars each.
Our problem would read out to be d(total amount she raised) is equal to $28 times x(amount of people who sponsored her) or d = 28 * x
If 12 people sponsored her
original equation:
d = 28 * x
equation with x known(12 people)
d = 28 * 12
to solve all we do is multiply 28 times the amount of people who sponsored her, in this case, its 12.
d = 336
we know that if 12 people sponsor her d, or the total amount she raised, is equal to $336
please answer asap!! show work!
12. What is (f - g)(x)?
f(x) = 4x4 - 5x2 + 2
g(x) = x3 - 2x2 + x - 4
Answer:
[tex]4x^4-x^3-3x^2-x+6[/tex]
Step-by-step explanation:
1. [tex](f-g)(x)=(4x^4-5x^2+2)-(x^3-2x^2+x-4)[/tex]
2. [tex]4x^4-5x^2+2-x^3+2x^2-x+4[/tex]
3. Simplify = [tex]4x^4-x^3-3x^2-x+6[/tex]
1. DC↔ means “ _____ DC”
A. line DC
B. ray DC
C. line segment DC
D. angle DC
2. ST→ means “_____ ST”
A. line ST
B. ray ST
C. angle ST
D. line segment ST
7th grade math probability
Super easy
(Look at picture)
Answer:
2/6 chance of landing on 2 or 3
Step-by-step explanation:
3x-10=16+10
Solve.
This is easy.
Answer: X = 12
Step-by-step explanation:
find the difference between 0.1kg and 75kg
Answer:
25 gm
Step-by-step explanation:convert kg in gr
therefore
0.1 * 1000 = 100 gm
now take difference :-
100 - 75 = 25 gm
What is the inverse of the function below?
f(x) = 3^x
---
OA 1-1(x) = logg
.
B. -() = log, 3
c. 1-2(1) = 3log(7)
D. 12() = log(31)
Original: y = 3^x
---To find the inverse, switch the x and y, then solve for y.
Inverse: x = 3^y
---Take the log base 3 of both sides to get y by itself
Answer: [tex]log_{3}(x) = y[/tex]
[tex]y = log_{3}(x)[/tex]
Hope this helps!
All of the following equations are true except?
Give one solution for in each of the following statements.
25≡ 5
36≡ 8
50≡ 9
So
#1
25=5xx=25/5x=5#2
36=8xx=36/8x=9/2x=4.5#3
50=9xx=50/9x=5.55Answer:
25 = 5
x = 25 - 5
x = 20
38 = 8
x = 38 - 8
x = 30
50 = 9
x = 50 - 9
x = 41
Write a cosine function that has a midline of 2, an amplitude of 4 and a period of pi/2.
y = Acos(Bx) + D;
D = 4, A = 2. Now T = 2π/B = 5π/8, B = 2π/(5π/8) = 16/5
WE get y = 2cos(16/5x) + 4
Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.
f (x) = 2 x squared. G (x) = negative 2 x squared
a.
f opens downward; g opens upward; both pass through different y-intercepts
b.
both open downward; both pass through (0, 0)
c.
both open upward; both pass through different y-intercepts
d.
f opens upward; g opens downward; both pass through (0, 0)
The function f(x) opens upwards, while g(x) opens downwards, and both functions pass through (0, 0), so the correct option is d.
What are the similarities/differences observed?
Here we have the two functions:
[tex]f(x) = 2x^2[/tex]
[tex]g(x) = -2x^2[/tex]
Notice tat g(x) = -f(x), which means that g(x) is a reflection across the x-axis of f(x).
The graphs of these functions can be seen below, the one that opens upwards is f(x), the one that opens downwards is g(x).
Then we can conclude that the true statement is:
"f opens upward; g opens downward; both pass through (0, 0)"
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Yesterday the price of a can beans at five supermarkets was $2.02, $2.11, $1.99,$2.32, and $2.26, respectively but today each supermarket raised it's price by $0.10. what today's mean price of a can of beans at five supermarkets?
a.2.14
b.2.34
c. 2.24
d.2.04
Answer:
the answer is C
Step-by-step explanation:
add them all together with the 0.10C increase which gives you 11.2 then divide by the number of different beans which is 5 and it gives you 2.24
22 out of the 55 teachers in a
school staff meeting were first-year
teachers. What percentage of the
teachers in the meeting were first-
year teachers?
Answer:
40%
Step-by-step explanation:
Our fraction would be 22/55. You can divide and then multiply by 100 to get your percentage.
Gina pays $0.50 ecah time she plays a carnival game. The game is on a spinner with 12 equal sized sections labled 1 through 12. she wins a prize if the pointer lands 3,5 or 7. If gina spends $4 playing the game, predict the number of prizes she can expect to win
Answer:
Two
Step-by-step explanation:
3,5 or 7 out of possible 12 spins
3 / 12 of the time she will win
$ 4 is 8 spins
8 spins * 3/12 = 2 wins
ANSWER
2 prizes
Step-by-step explanation:
$4 ÷ $0.5 = 8
Total points on spinner = (1,2,3,4,5,6,7,8,9,10,11,12)
Required for winning = (3, 5, 7)
5+7 = 12
3/12
P(win) = 3/12 simplified is 1/4
(1/4) × (8) = 2
Therefore, the answer is two prizes
1
Select the correct answer.
If function g has the factors (x-7) and (x + 6), what are the zeros of function g?
OA.
-7 and 6
OB. -6 and 7
OC. 6 and 7
OD. -7 and-6
Reset
xt
The zeroes of the function g will be 7 and negative 6. Then the correct option is B.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
If function g has the factors (x-7) and (x + 6).
Then the zeros of function g will be
For the zeroes of the function, then put the factors equal to zero. Then we have
x - 7 = 0 and x + 6 = 0
x = 7 and x = -6
Then the zeroes of the function g will be 7 and negative 6. Then the correct option is B.
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Kevin invest $2,000 at 4.6% compounded continuously. How long will it take him to have $3,700
Answer:
t=In(37/20)/0.046
Step-by-step explanation:
p=2000
r=0.046
A=3700
t=?
3700=2000e^0.046t
switch sides
2000e^0.046t=3700
Divide both sides by 2000
$2000e^0.046t/2000=$3700/2000
Simplify
e^0.046=37/20
Apply exponent rules
0.046=37/20
Solve 0.046t = ln(37/20)
t=In(37/20)/0.046
Which figures demonstrate a single translation?
Select each correct answer.
Translation of a figure is the situation when a figure is moves from one place to another place. The size of the figure does not changes in translation. The figure does not rotate in the translation. As the option 3 (below the first option) and 4 demonstrate the single translation hence, option 3 and 4 is the correct option.
Given-Given option shows the different translation and rotation of the original figure. It has to be known about the translation before checking the correct option.
What is translation?Translation of a figure is the situation when a figure is moves from one place to another place. The size of the figure does not changes in translation. The figure does not rotate in the translation.
In option 1 the object flips to the opposite side of the figure figure. Thus the option 1 does not demonstrate the single translation.In option 2 (right to the first option) the figure flips to the opposite side of the original figure and then translate to other location. Thus the option 2 does not demonstrate the single translation.In option 3 (below the first option) the figure moves to southeast direction to its position. Thus the option 4 demonstrate the single translation. Therefore option 4 is the correct option.In option 4 the figure moves to right from its location. Thus the option 3 demonstrate the single translation. Therefore option 3 is the correct option.As the option 3 (below the first option) and 4 demonstrate the single translation hence, option 3 and 4 is the correct option.
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Anthony painted 2 triangles of the same size on the top corners of his house
for Sports Day. What is the total area of both triangles?
16 cm
16 cm
24 cm
Answer:
256cm
Step-by-step explanation:
I'm assuming 16 and 16 are the 2 legs of the triangle.
The equation to get the area of a triangle is b x h /2
16cm x 16cm / 2 = 128cm
128cm x 2 triangles = 256cm
*2.) Which trinomial is equivalent to 4(x - 5)^2– 3(x - 2)?
Answer:
4x² - 43x - 106
Step-by-step explanation:
4(x - 5)²– 3(x - 2)
4(x - 5)(x - 5) - 3 (x - 2)
distribute
4(x(x - 5) - 5(x - 5)) - 3 (x - 2)
4(x² - 5x - 5x - 25) - 3 (x - 2)
↓
combine like terms ↓
4(x² - 10x - 25) ((( ↓
distribute again ↓
4x² - 40x - 100 ↓
↓
distribute ↔ ↓
4x² - 40x - 100 - 3 (x - 2)
4x² - 40x - 100 - 3x + 6
add
4x² - 40x - 106 - 3x
combine
4x² - 43x - 106
A pair of shoes cost $92. What would be the total cost with 7% sales tax
Answer:
$98.44
Step-by-step explanation:
take $92 x .07 = $6.44 (tax amount)
$92+$6.44=$98.44
HELP ASAP PLEASE!! The Great Pyramid of Cheops is the largest pyramid in the world. It was built around 2500 B.C. by Khufu, or Cheops, a king of ancient Egypt. The pyramid has a square base of 230 meters on each side and a height of 147 meters. Find the volume of the pyramid if the slant height is 186.63 meters.
Answer:
138, 460 m²
Step-by-step explanation:
How To Find Volume of Pyramid With Slant Height? If 'x' is the base length, 's' is the slant height, and 'h' is the height of a regular pyramid, then they satisfy the equation (the Pythagoras theorem) (x/2)2 + h2 = s2.
The sides of a triangle are 77, 56, and 59. Use the Pythagorean Theorem to determine
if the triangle is right, acute, or obtuse.
the
The triangle is y because the square of the largest side
sum of the squares of the other two sides.
Step-by-step explanation:
59^2+56^2=77^2
3481+3136=5929
no not right triangle
im guessing its and acute triangle
i don't understand what else your trying to ask after that
Answer:
obtuse and greater than
Step-by-step explanation:
obtuse and greater than
Pls ingore all of the questions below, but help me with the attached image
What is the only number that has the same number of letters as it's meaning? ...
What number doesn't have its own Roman numeral? ...
What is the only even prime number? ...
What is the smallest perfect number? ...
What is our current numerical system based on? ...
Is Pi a rational or irrational number?
Answer:
w = 70
Step-by-step explanation:
I use the angle ABC method:
angle ABC + angle ACB + angle BAC = 180°
(w - 1)° + 73° + (w - 32)° = 180°
w = 70
HOPE THIS HELPS AND HAVE A NICE DAY <3
Nina used 2 litres of paint to paint a wall.
The wall was a rectangle 2 metres high and 4 metres wide.
How many litres of paint would she need to paint a rectangular wall which is
2.5 metres high and 8 metres wide?
Surface area of chili deer
Answer:
C. 314.2 cm²
Step-by-step explanation:
Surface area for cylinder
[tex]\text{SA} = 2 \pi r^2 + 2 \pi r h[/tex],
where r is radius and h is height.
[tex]2\pi r^2[/tex] comes from two times the area of the circle, [tex]2 \pi r h[/tex] is the area of the curved surface.
Given information:
r = 5 cm
h = 5 cm
Insert the values into the formula and evaluate
[tex]\text{SA} = 2 \pi r^2 + 2 \pi r h\\\text{SA} = 2 \pi (5)^2 + 2 \pi (5)(5)\\\text{SA} = 2 \pi (25) + 2 \pi (25)\\\text{SA} = 50 \pi+ 50\pi \\\text{SA} = 100\pi \approx 314.159\\\text{SA} = 314.2 \text{ cm}^2[/tex]
3x+4=25 what does x stand for
Answer:
X=7
Step-by-step explanation:
3x+4=25 (Subtract 4 on both sides)
3x=21 (Divide by 3 on both sides)
x=7
Answer: x is a variable and the number the variable is standing for is 7
Step-by-step explanation:
3x7=21 .. 21+4=25
34. What are the signs and symptoms of MERS?
Answer:
People with MERS may experience a fever, cough, or shortness of breath. They may also experience chess pain, fatigue, chills, loss of appetite, body aches, diarrhea, nausea, vomiting, congestion, sneezing, headaches, or a sore throat.
Step-by-step explanation: