Answer:
1-C; 2-D.
Step-by-step explanation:
0) the common formula is:
area=π*r²;
1) according to the formula above the area of the sector C. doubles (increases by a factor two);
2) according to the formula the area of the sector D. quadruples (increases by a factor four).
The circumference of a round mirror is 32 inches. What is the radius of the mirror?
Answer:
r=C/2pi
r= 32/2pi. pi=3.1415. 2pi= 2×3.1415 =6.2831
given that C= 32, therefore r=32/6.2831 =5.0930.
Help me pls I don't understand this pls help me! :I
A water tank measures 5 in. by 10 in. by 7 in. If each dimension of the tank were doubled, approximately how many more gallons can the larger tank hold? (Hint : There are 231 cubic inches in 1 gallon.)
A: The large tank holds about 2,450 gal more water than the small tank.
B: The large tank holds about 10 gal more water than the small tank.
C: The large tank holds about 22 gal more water than the small tank.
D: The large tank holds about 16 gal more water than the small tank.
Answer:
10
Step-by-step explanation:
you should go by this; 5x10x7=350 which can round up to two gallons. then you do 350 x 2 to the third power, which should be 350x8=2800. which 2800 rounds to 12 gallons, so then you do 12-2=10. So 10 would be the answer! Hope this helped!!A circle's diameter is 4 feet.
What is the circle's circumference (use 3.14 for pi and round to the Nearest tenth)?
PLS HELP
Answer:
13
Step-by-step explanation:
The formula for cirmference is
C= π2 * r
we're using 3.14 as pi and r = radius.
the radius is always half of the diameter.
So in this case since the diamter is 4, the radius is 2. let's substitute these numbers.
C= 3.14 *2*2 and there your answer is 12.56 which rounded to the nearest tenth is 13.
Hope this helps :)
HELP PLS I WILL MARK BRAINLIEST
Answer:
I believe the answer is 112.75 in2
Step-by-step explanation:
Friend is smart
Please help me i can’t figure it out
Answer:
51
Step-by-step explanation:
Always do parentheses first.
So 39-3=36
Then 36+6+3power of 2
36+6=42
42+3 power of 2
3 times 3 = 9
42+9=51
Answer:
51
Step-by-step explanation:
I got it right on the test
By visual inspection,determine the best fitting regression model for the scatter plot
Answer:
The answer is quadratic
Step-by-step explanation:
I just took the quiz and got this question correct, also it cant be linear because if it were linear, it would be more of a straight shape, but this is more of a u shape, if it were exponential, it would look more drawn out to the sides i believe, and if it were no pattern, there would just be dot points threwn at random spots. Therefore, the answer is Quadratic.
For each order. Determine weather is a solution to x = -5
Solutions:
(-5,1)
(3,-5)
(9,2)
(-5,4)
how do you graph y=4-4x
Answer:
Break it into 2 parts.
Explanation:
Y=4x
Firstly draw the graph of y=4x , then light it up the y-axis by 4 units.
Or you can do it by plotting points; say x=0, x=1, x=2 and so on.
Step-by-step explanation:
Find x #4 please reallt emergency
Answer:
Step-by-step explanation:
3
6. If the information given represents an arithmetic
sequence, find the 27th term.
a_1 = 49 and a_8 = 14
Since consecutive terms differ by a constant k in this sequence, we have
[tex]a_8 = a_7 + k[/tex]
[tex]a_8 = (a_6+k)+k = a_6+2k[/tex]
[tex]a_8 = (a_5+k)+2k=a_5+3k[/tex]
and so on down to
[tex]a_8 = a_1 + 7k[/tex]
Solve for k :
14 = 49 + 7k ⇒ -35 = 7k ⇒ k = -5
We then do the same as above but in the reverse direction:
[tex]a_9 = a_8+k[/tex]
[tex]a_{10} = a_9+k = a_8+2k[/tex]
[tex]a_{11} = a_{10}+k = a_8+3k[/tex]
and so on, up to
[tex]a_{27} = a_8 + 19k = \boxed{-81}[/tex]
Quadrilateral JKLM is inscribed in circle R.
68
What is m L?
Enter your answer in the box.
105
XK
•R
L
M
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
As we know, opposite sides of a cyclic quadrilateral add up to 180°, let's use this property to find Angle L
[tex]\qquad \tt \dashrightarrow \: \angle L + 68 = 180[/tex]
[tex]\qquad \tt \dashrightarrow \: \angle L = 180 - 68[/tex]
[tex]\qquad \tt \dashrightarrow \: \angle L = 112 \degree[/tex]
So, measure of Angle L is 112°
Look at the two stacks of coins. each stack contains the same type and number of coins. make a conjecture. how do the stacks compare? check all that apply. the two stacks are the same height. the area of a coin face in one stack is the same as the area of a coin face that lies in the same horizontal plane. the two stacks have equal volume.
The correct option is D they will have the same volume.
What is volume?
In math, volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.
They both have the same height, assuming that each coin has same volume, then how can coins in 1 stack have different volume than coins in another stack no matter how you stack them.
Like two cylinders with same base area and height have same volume. Like wise rectangle and parallelogram with same base and same perpendicular height having same area.
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Answer:
DDDDDDDDD is your Answer
Step-by-step explanation:
Hideki was given a rare coin 9 years ago. The value of the coin has increased $6 every year since it was given to him. It is now worth $76. Which equayion can Hideki use to find the value, v, of the coin after a years of owning it?
A. V=6a+22
B. V=6a+76
C. V=6a+130
D. V=9a+22
E. V=9a+130
The question is an illustration of a linear function, and the value, v, of the coin after a year of owning it is (b) V = 6a + 76
How to determine the equation?The given parameters are:
Initial value = 76Rate = 6A linear function is represented as:
y = mx + c
Where m represents the rate, and c represents the initial value
This means that:
m = 6 and c = 76
So, we have:
y = 6x + 76
In terms of a and V, we have:
V = 6a + 76
Hence, the value, v, of the coin after a year of owning it is (b) V = 6a + 76
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Evaluate the expression.
52−4⋅6+11
Enter your answer in the box.
Answer: 39
Step-by-step explanation: PEMDAS
Find the circumference of the circle
12m
Answer:
The answer would be 75.4 (rounded to nearest 10th)
Step-by-step explanation:
Step 1. Multiply the radius (12) by 2 to get 24.
Step 2. Do 24π
Step 3. Get the answer of 75.3982236862
Step 4. Round to 75.4
Hope this helps! :)
Answer:
C ≈ 75.4 m
Step-by-step explanation:
using the formula C = 2πr , then
C = 2π × 12 = 24π ≈ 75.4 m ( to 1 dec. place )
Which of the following could be the equation of the function below? on a coordinate plane, a curve crosses the y-axis at y = negative 3. it has a maximum at y = 1 and a minimum at y = negative 3. it goes through 1 cycle at pi. y = negative 2 cosine (4 (x pi)) minus 1 y = 2 cosine (x pi) 1 y = negative 2 cosine (2 (x pi)) minus 1 y = 2 cosine (4 (x pi)) 2
The equation of the function which is graphed on the right is specified by: Option C: y = -2cos(2(x + π)) -1
How to find the function which was used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
What are some properties of a cosine function?Suppose that we've got:
[tex]f(x) = a \cos (bx - c) + d[/tex]
Then, this function has:
Period = [tex]\dfrac{2\pi}{b}[/tex]Phase shift = [tex]\dfrac{c}{b}[/tex]Maximum value: a + dMinimum value: -a + dFor this case, we're given that:
The function crosses y-axis at y = -3The maximum value of the function is y = 1The minimum value of the funciton is y = -3It goes through 1 cycle at pi.All the options are of cosine function, so let the function be:
[tex]f(x) = a \cos (bx - c) + d[/tex]
Then, as per the given data about max and min. values, we get:
d+a=1
d-a = -3
Adding both equations,
2d = -2 => d = -1
Thus, -1+a = 1, and therefore a = 2
Since it goes through 1 cycle at pi, so its period = π
Thus, we get:
[tex]Period = \pi = 2\pi/b\\\\or\\\\b = 2[/tex]
Now since there is only third option which has d= -1, and b =2 so assuming at least one option was true, we get the needed function as described by the option C.
Thus, the equation of the function which is graphed on the right is specified by: Option C: y = -2cos(2(x + π)) -1
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Answer:
C) y = -2cos(2(x + π)) -1
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Simplify this equation...
(It would be option 1) x - 2/2
22 23
22 - 26
m27 +mZ8 = 180°
mZ3 +mZ5 = 90°
Answer:
i believe it would be 22-26 but i am not sure
find the value of x when 6-2x= 5x-9x+18
Answer:
x = 6
Step-by-step explanation:
6 - 2x = (5-9)x +18
6 - 2x = -4x +18
2x = 12
x = 6
[tex]\sqrt{25x^{2} } =-2x\sqrt{100x}[/tex]
I assume x is a real variable. Note that √(25x²) is a non-negative number for any real x.
Meanwhile, we observe that for -2x √(100x),
• it's only defined for x ≥ 0, and
• if x ≥ 0, then multiplying √(100x) by -2x makes the overall product non-positive, i.e. -2x √(100x) ≤ 0
In short, this eliminates any non-zero real solution, and we're left with x = 0.
We can arrive at the same result by working with the equation:
√(25x²) + 2x √(100x) = 0
5|x| + 20 x√x = 0
since √(x²) = |x| for all x.
Recall that |x| = x if x ≥ 0, and |x| = -x if x < 0.
• If x ≥ 0, the equation reduces to
5x + 20 x√x = 0
5x (1 + 4√x) = 0
5x = 0 or 1 + 4√x = 0
x = 0 or √x = -1/4
But √x ≥ 0 for x ≥ 0, so we throw out the second solution.
• If x < 0, the equation instead reduces to
-5x + 20 x√x = 0
-5x (1 - 4√x) = 0
-5x = 0 or 1 - 4√x = 0
x = 0 or √x = 1/4
x = 0 or x = 1/16
But we assumed x is negative, so we throw out both choices and get no solution for this case.
PLEASE ANSWER ASAP AND LMK HOW U GOT UR ANSWER ‼️
Answer:
π/4 radiansπ/4 radiansStep-by-step explanation:
The relationship between angle measures in degrees and angle measures in radians does not depend on the radius of the circle. It is always ...
180° = π radians
__
Then an angle of 45° will be ...
45° × (π radians)/(180°) = π/4 radians
This value is the same for a radius of 5 cm or of 1 cm.
_____
Additional comment
We have made the conversion from degrees to radians using a conversion factor that has radians in the numerator and degrees in the denominator. When we mutiply by this factor, the units of degrees cancel, leaving units of radians. We use a conversion factor that has the same angle value in numerator and denominator, so it doesn't change the angle we're multiplying. It only changes the units.
The same relation can be expressed as a proportion:
(π radians)/180° = (x radians)/(45°)
When you multiply this equation by 45° on both sides, you get the equation we used above.
Rani and Kajal are playing a card game using a standard 52 card deck.
Kajal will pick a card at random. If the card is a black card, she will win $5. If the card is a face card (jack, queen, or king), but not a black card, she will win $3. If she picks anything else, she will lose $10.
The image below shows a standard deck of playing cards.
What is Kajal's expected value of playing this game?
Answer:
not answered this question
Kajal's expected value of playing this game is -$1
Kajal's expected value of playing this gameThe given parameters are:
Picking a black ⇒ $5 (win)Picking a face card ⇒ $3 (win)Picking anything else ⇒ $10 (lose)There are 26 black cards in a standard 52 card decks.
So, we have:
P(Black) = 26/52
There are 6 face cards that are not black in a standard 52 card decks.
So, we have:
P(Face card and not black) = 6/52
There are 20 other cards not in the above categories.
So, we have:
P(Others) = 20/52
The expected value is then calculated as:
[tex]E(x) = \sum x * P(x)[/tex]
This gives
E(x) = 5 * 26/52 + 3 * 6/52 - 10 * 20/52
Evaluate the products
E(x) = 130/52 + 18/52 - 200/52
Evaluate the sum and difference
E(x) = (130 + 18 - 200)/52
This gives
E(x) = -52/52
Evaluate
E(x) = -1
Hence, Kajal's expected value of playing this game is -$1
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27/54 simplified to its simplest form need answer ASAP
Answer:
1/2
Step-by-step explanation:
Divide both the numerator and denominator
27/54 ÷ 27/27
Reduced fraction:
1/2
Therefore, 27/54 simplified to lowest terms is 1/2.
Answer:
27/54 =1/2
Step-by-step explanation:
27 and 54 are both multiples of 9, so 9 is a common divisordivisor.
Divide numerator and denominator by 91:
(27/9) / (54/9) = 3/6
Now 3 and 6 are both multiples of 3, so 3 is a common divisor
Divide numerator and denominator by 3:
(3/3) / (6/3) = 1/2
1 and 2 has no common divisors so 1/2 is the final answer
Choose the values of a and b that represent the factored form of w2 – 11w 18. w2 – 11w 18 = (w – a)(w – b) a = b =
The values of a and b in w^2 - 11w + 18 = (w - a)(w - b) is 2 and 9.
We have given the polynomial w^2 - 11w + 18
First to find the factor form and then
To determine the value of a and b
What is the PolynomialThe Polynomial is an expression that involves only the operations of addition, subtraction, and multiplication of variables.
The given the polynomial is w^2- 11w + 18
= w^2 - 9w - 2w + 18
= w(w - 9) -2(w - 9)
= (w - 2)(w - 9)
This implies that a=2 and b=9
Therefore, the values of a and b in w^2 - 11w + 18 = (w - a)(w - b) is 2 and 9
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Answer:
a=2 b=9
Step-by-step explanation:
A store offers a 30% discount on a coat that originally sold for $120. The coat still does not sell, so the store offers another 30% o the sale price. What is the difference between this price and the price of the coat had it been marked down 60% all at once?A. $5. 80 B. $7. 40C. C. $10. 8 D. No difference; the resulting prices are the same
Answer:
C. $10.80
Step-by-step explanation:
Lets solve for first 30% discount
120/ 10 =12 (divided by 10 to get 10% of the whole)
12= 10% of 120
36= 30 % of 120 (multiplied by 3 to get 30%)
120-36= 84
Lets solve for second 30% discount
84/10 =8.4 (divided by 10 to get 10% of the whole)
8.4= 10% of 84
25.2 = 30% of 84 (multiplied by 3 to get 30%)
84-25.2=58.80 (subtracted the discount from the total to get the sale price)
Let's solve for what it would cost had they done 60% to begin with
120/10 = 12 (divided by 10 to get 10% of the whole)
12= 10% of 120
72= 60% of 120 (multiplied by 6 to get 60%)
120-72 = 48 (subtracted the discount from the total to get the sale price)
Let's solve for the difference between the two
58.80-48= 10.80
What is the approximate area of the triangle?
A. 12.5 square units
B. 18 square units
C. 21.5 square units
D. 31 square units
The solution is Option C.
The area of the triangle is 21.5 square units
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the area of the triangle be A
Let the height of the triangle be H
The value of H = 7 units
Let the base of the triangle be B
The value of B = 6 units
Now , the area of the triangle is given by the equation
The area of the triangle = ( 1/2 ) x Length x Base
Substituting the values in the equation , we get
Area of Triangle = ( 1/2 ) x 7 x 6
Area of Triangle = 1/2 x 42
Area of Triangle = 42/2
Area of Triangle A = 21.5 square units
Therefore , the value of A is 21.5 units²
Hence , The area of the triangle is 21.5 square units
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25 points
Find Y. Assume that segments that appear to be tangent are tangent. Around to the nearest tenth if necessary.
Answer:
y ≈ 12.6
Step-by-step explanation:
the angle between a tangent and the radius of the circle at the point of contact is 90°
then the triangle with y as a leg is right.
using Pythagoras' identity in the right triangle.
y² + 39² = 41²
y² + 1521 = 1681 ( subtract 1521 from both sides )
y² = 160 ( take square root of both sides )
y = [tex]\sqrt{160}[/tex] ≈ 12.6 ( to the nearest tenth )
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS*URGENT*During halftime of a game, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 6 feet with an initial upward velocity of 72 feet per second. The T-shirt is caught 38 feet above the field.
How long will it take the T-shirt to reach its maximum height?
What is the maximum height?
What is the range of the function that models the height of the T-shirt over time?
Answer:
y = 38 + 72t - 16t^2
Step-by-step explanation:
So, solve for t when y=48.
The max height is of course, when t = 64/32 = 2.
calculate the equation of straight line passing through (5,-10) and making equal but opposite intercept.
The equation of the straight line passing through (5,-10) and making equal but opposite intercept is y = -4x + 10.
To solve the problem, we need to know the equation of a straight line
Equation of a straight line in slope intercept formThe equation of a straight line in slope intercept form is given by y = mx + c where
m = slope and c = y- intercept.Given that the straight line passes through the point (5, -10) and making equal but opposite intercept, its intercept is at (-5, 10)
The gradient of the lineWe need to find the gradient, m by making m subject of the formula in y.
So, m = (y - c)/x
With
x = 5, y = -10 and c = 10, we havem = (y - c)/x
m = (-10 - 10)/5
m = -20/5
m = -4
Substiting m and c into y, we have
y = mx + c
y = -4x + 10
So, the equation of the straight line passing through (5,-10) and making equal but opposite intercept is y = -4x + 10.
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Variable g is 8 more than variable w. variable g is also 4 less than w. which pair of equations best models the relationship between g and w? g = w − 8 g = w 4 w = 8g w = g − 4 g = w 8 g = w − 4 w = 8g w = g 4
A pair of equations best models the relationship between g and w are g = w + 8, and g = w - 4 option second is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as linear equation in one variable.
We have :
Variable g is 8 more than variable w, mathematically we can write it as:
g = w + 8 ....(1)
Also, variable g is also 4 less than variable w, mathematically we can write it as:
g = w - 4 ....(2)
The equation (1) and equation (2) are representing the system of linear equation in two variables.
So, we have framed two linear equation, that is:
g = w + 8 and
g = w - 4
Thus, a pair of equations best models the relationship between g and w are g = w + 8, and g = w - 4 option second is correct.
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Answer:
b
Step-by-step explanation: