Answers
Using cosine ratio from trigonometric ratio, the distance he needs to throw is 11.55ft
How far does he need to throw his bat star?To solve this problem, we need to use trigonometric ratio since from the triangle given, Batman and Joke makes a right-angle triangle with the house.
Since the house is 10ft high and the angle between Batman and Joke is 30°.
Using trigonometric ratio, we can apply cosine ratio to determine the distance in which he needs to throw the star.
cosθ = adjacent / hypothenuse
cos 30 = 10 / x
cross multiply both sides
x = 10 / cos 30
x = 11.55ft
He needs to throw the star a distance of 11.55ft
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Related Questions
Find the distance between A (6,-5) and B(-2,-20)
Answers
Answer:
17i
Step-by-step explanation:
d= (under radical sign) (x2-x1)^2 + (y2-y1)^2
plug in the numbers and simplify and youll get (again under the radical sign) (-8)^2 + (-15)^2
do the math again and youll get -289 under the radical. square root of 289 is 17 and you add the i next to it because it is negative and those numbers aren't real
Is y=8x-3 proportional or not proportional
Answers
Answer:
proportional
Step-by-step explanation:
look at the line
Answer:
I think its Proper
Step-by-step explanation:
In which quadrant of the coordinate plane is the point (−4,1) located
Answers
Answer:
Quadrant II
Step-by-step explanation:
Below will be a picture provided to show you which quadrants are in a coordinate grid.
To graph (-4, 1) we will start at the origin, go 4 units to the left and 1 unit up.
As you can see in the image, it will be plotted in quadrant 2.
Best of Luck!
Answer:
quadrant II or 2
Step-by-step explanation:
I'm not sure if your teacher wants in Roman Numerals or not.
in quadrant II/2 x is negative (on the left side of the y-axis) and y is positive (above the x-axis)
Justify each step in solving the equation 7(x+1)+11x=-2x-5 by writing a reason for each statement.
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3) we added the x’s (7x and 11x)
4) we moved -2x from the right side of the equation to the left side, as a maths rule its minus sign changed into a plus sign, and then we added 18x with 2x to get 20x.
5) we moved +7 to the left side of the equation and its plus sign became a minus sign, so +7 became -7, then -5 and -7 added, as a maths rule two negatives add each other, to become -12
Picture is attached, with question
Answers
Answer:
B. 50°
Step-by-step explanation:
∠KPN is a vertical angle with ∠MPL, the third angle in triangle MPL. Since vertical angles are congruent, the measure of ∠KPN will be the same as the measure of ∠MPL:
∠KPN = ∠MPL = 180° -60° -70°
∠KPN = 50°
JUST GIVE ME THE ANSWER !!!! PLS HELPPPP
Answers
Answer:
f(-7) = -177
Step-by-step explanation:
f(-7) = -4(-7)^2 + 19
f(-7) = -4(49) + 19
f(-7) = -196 + 19
f(-7) = -177
Let a and b stand for 2 rational numbers
If a is less than b what else must be true
Answers
In October 2010, the amount of money held by individuals and companies was $893.4 billion; checkable deposits owned by the same individuals and companies were $345.6 billion; money market funds were $1.9423 trillion; savings deposits were $989.4 billion; finally, time deposits were $243.8 billion.
What is the M1 for October 2010?
A.) $1.24 trillion or $1,239 billion
B.) $1.34 trillion or $$1,335 billion
C.) $2.84 trillion or $2,836 billion
C.) $1.14 trillion or $1,137 billion
Answers
Answer:
In October 2010, the amount of money held by individuals and companies was $893.4 billion; checkable deposits owned by the same individuals and companies were $345.6 billion; money market funds were $1.9423 trillion; savings deposits were $989.4 billion; finally, time deposits were $243.8 billion.
i need help with this I dont know the answer
Answers
Answer:
(angle 1+2) - (angle 2) = 54-28
Calculate 54-28.
Answer:
26 degrees
Step-by-step explanation:
The total angle ABD is equal to 54 degrees, and the measure of angle 2 which is in this total amount (54) is 28 degrees. To find the measure of angle 1, you must subtract 54 and 28, which is 26 degrees, the correct answer.
4/9 of students at a school are boys. If there are 2601 students at the school, how many are girls?
Answers
Answer:
1156
Step-by-step explanation:
First you get the answer you divide by 9 since it is the denominator and ultimately means how many "pieces" or parts the whole number or amount will be in. You divide by 9 and get 289. Now you have the 1/9 part of 2601. You now multiply this number by 4 to get the 4/9 of 2601. Whennyou multiply by four you get 1156. I hope this makes sense and that it helps you. Please mark brainliest if it did help. :)
Answer:
1445Step-by-step explanation:
4/9 of 2601 = 1156 are boys
----------------------------------
= 2601 - 1156
= 1445 are girls
or
= 5/9 of 2601
= 1445 are girls
Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he has 90 feet of fencing to go around it, what dimensions will give him the maximum area in the garden.
Answers
Answer:
long side, semicircle diameter: 180/(4+π) ft ≈ 25.2 ftshort side: 90/(4+π) ft ≈ 12.6 ftStep-by-step explanation:
Let the rectangle dimensions be x and y. Assume that x represents the "short" side, so it is also the diameter of the semicircle. Then the perimeter is ...
P = x + 2y + πx/2 = 90
The area is the area of the rectangle added to the area of the semicircle:
A = xy + (1/2)π(x/2)^2 = x(π/8x +y)
Solving the perimeter equation for y, we get
y = (90 -x -π/2x)/2
and the area equation becomes ,..
A = x(π/8x +45 -x/2 -π/4x)
A = x(45 -x(1/2 +π/8))
The graph of A(x) is a parabola opening downward with zeros at x=0 and x=45/(1/2+π/8) = 360/(4+π).
The vertex (maximum) of the area curve will be halfway between the zeros, at ...
x = (0 +360/(4+π))/2 = 180/(4+π)
The value of y is then ...
y = (90 -x(1 +π/2))/2 = (1/2)(90 -(180/(4+π))(2+π)/2) = (1/2)(90)(1 -(2+π)/(4+π))
y = 45(4+π-2-π)/(4+π) = 90/(4+π)
The rectangle dimensions are 90/4+π) by 180/(4+π), with the semicircle diameter equal to 180/(4+π).
__
That's about 25.2 ft by 12.6 ft with the semicircle attached to the long side.
_____
Please note that the overall dimensions of the garden are the same in both directions. It is effectively "square" with two corners rounded into quarter circles.
In 1980, a Domino's large pizza cost $4.99.
What would be the cost of that pizza in 2000?
What would be the cost in 2015?
What would you expect the pizza to cost in 1981?
Answers
Answer:
The pizza cost 5.04 in 2000
Step-by-step explanation:
Step One: set the price of the pizza in 1980 equal to the price in 2000
$4.99 ?
=
1980 2000
Step two: Divide 1980 by 2000
1980 / 2000 = 0.99
Step Three: Divide 4.99 by 0.99
Reason: You know that 1980/0.99= 2000 and what ever you do to the denominator you have to do to the numerator and vice versa.
4.99 / 0.99 = 5.0404040
Step Four: Answer
The pizza cost 5.04 in 2000
Keep doing this until you get all of the years (2015 and 1981) pizza prices
Cost of Dominos pizza.
As per the statement, the large pizza costs about $4.99 and the cost of this pizza in 2000 be x and the cost of the same domino pizza in the year 1981 is different from that in 2015.
The answer is that the pizza cost 5.04 in 2000.
The answer can be explained in steps where the 1st set of prices for the pizza in the year 1980 = to the price in 2000. Then the $4.99 value is the same for 2000 and 1981.The second step is to divide 1980 by 2000. Thus 1980 / 2000 = 0.99. In the third step, we get 4.99 by 0.99. This result is 5.04Hence the pizza cost about 5.04 in 2000sLearn more about Domino's large pizza.
brainly.com/question/19277081.
Select the correct answer.
Which inequality is represented by this number line?
Answers
Answer:
A
Step-by-step explanation:
Can anyone find the answer to this question
Answers
Answer:
C
Step-by-step explanation:
Each slope down in the graph represents a drink. so the first drink ended at 30 sec and the second one started at 60 sec so he waited 30 sec inbetween.
Use the information provided to write the standard form equation of each circle.
2) Center: (-7,8)
Radius: 7
A) (x – 8)2 + (y – 7)? =4
B) (x + 7) + (y - 8)² = 49
C) (x + 7)+(y – 8)2 = 2401
D) (x – 7)2 + (y – 8) = 49
Answers
Answer:
(x + 7)² + (y - 8)² = 49
Step-by-step explanation:
Circle Equation: (x - h)² + (y - k)² = r²
(h, k) is center
r is radius
Step 1: Define
h = -7
k = 8
r = 7
Step 2: Substitute
(x - -7)² + (y - 8)² = 7²
(x + 7)² + (y - 8)² = 49
Answer:
(x-(-7))+(y-8)=7^2
B
Step-by-step explanation:
6.Jerome scored a 88% on the last quiz. If there were 100 questions, how many did he answer correctly?
Answers
Answer:
Jerome answered 88 questions correctly
Step-by-step explanation:
88% is the equivalent of 88 questions out of 100 in this scenario, also meaning he answered 12%, or 12 questions wrong.
Answer:
Jerome answered 88 questions correctly.
Step-by-step explanation:
88x100/100=88 of the 100 questions he answered correctly.
What is the area of the triangle show above
Answers
Answer:
A = 64 units²
Step-by-step explanation:
A = 1/2bh
Step 1: Define
A = ?
b = 16 units
h = 8 units
Step 2: Substitute and Evaluate
A = 1/2(16 units)(8 units)
A = (8 units)(8 units)
A = 64 units²
[Calc 1] stuck on how to do this. I know the product and quotient rules, I think if someone can just explain (a) I would be able to do the rest
Answers
Part (a)
h(x) = 4*f(x) + 3*g(x)
h ' (x) = d/dx[ 4*f(x) + 3*g(x)]
h ' (x) = d/dx[ 4*f(x) ] + d/dx[ 3*g(x)] ... sum rule
h ' (x) = 4*d/dx[ f(x) ] + 3*d/dx[ g(x)] ... constant multiple rule
h ' (x) = 4*f ' (x) + 3*g ' (x)
h ' (2) = 4*f ' (2) + 3*g ' (2) ... plug in x = 2
h ' (2) = 4*(-2) + 3*(3) ... substitution
h ' (2) = 1
Answer: 1=======================================================
Part (b)
h(x) = f(x)*g(x)
h ' (x) = f ' (x)*g(x) + f(x)*g ' (x) ... product rule
h ' (2) = f ' (2)*g(2) + f(2)*g ' (2) ... plug in x = 2
h ' (2) = -2*5 + (-4)*3 ... substitution
h ' (2) = -22
Answer: -22=======================================================
Part (c)
h(x) = f(x)/g(x)
h(x) = [f ' (x)*g(x) - g ' (x)*f(x)]/[ (g(x))^2 ] ... quotient rule
h(2) = [f ' (2)*g(2) - g ' (2)*f(2)]/[ (g(2))^2 ] ... plug in x = 2
h(2) = [-2*5 - 3*(-4)]/[ (5)^2 ] ... substitution
h(2) = 2/25
Answer: 2/25=======================================================
Part (d)
k(x) = 1 + f(x) ... helps simplify the denominator
k(2) = 1 + f(2) ... plug in x = 2
k(2) = 1 + (-4) ... substitution
k(2) = -3
------
k(x) = 1 + f(x)
k ' (x) = 0 + f ' (x)
k ' (x) = f ' (x)
k ' (2) = f ' (2) ... plug in x = 2
k ' (2) = -2
------
h(x) = g(x)/(1 + f(x))
h(x) = g(x)/k(x)
h ' (x) = [g ' (x)*k(x) - k ' (x)*g(x)]/[ (k(x))^2 ] ... quotient rule
h ' (2) = [g ' (2)*k(2) - k ' (2)*g(2)]/[ (k(2))^2 ] ... plug in x = 2
h ' (2) = [3*(-3) - (-2)*5]/[ (-3)^2 ] ... substitution
h ' (2) = 1/9
Answer: 1/9Which of the following statements are true? Check all that apply.
The amplitude is 1/2
The graph is stretched vertically by a factor of 2.
The midline has the equation x = 0.
The graph is compressed horizontally by a factor of 1/2
The equation of the graph is y=1/2sine(2x)
Answers
Answer: 1,4 and 5
Step-by-step explanation:
Answer:
1 4 5
Step-by-step explanation:
just took it
2x^2+18x+28 factorise
Answers
(x+6)(x+3)=2x^2+......
what is the decimal equivalent for 4 5/9
Answers
Answer:
5/9 = 0.55555556
use the calculator next time.
Write an equation for the function graphed below
y= _____
Answers
Answer:
not sure what type of equations but as far as I can see Y is 1, look at the y axis the line crosses at the one (the x axis is also 1)
hope this helped a little
The product of the ages, in years of three (3) teenagers is 4590. None of them have the same age. What are the ages of the teenager?
UNDERSTANDING THE PROBLEM:
DEVISE A PLAN:
CARRY OUT THE PLAN:
REVISE THE SOLUTION:
Answers
Check: 15*17*18 = 4590 and all ages are distinct.
=====================================================
Explanation:
Let's say the three ages are x,y and z.
Since they are teenagers, this means x,y,z are values drawn from this set {13,14,15,16,17,18,19}
The number 4590 is even, so 2 is a factor. This means 2 is a factor of either x, y or z.
We see that 2 is a factor of 14,16 and 18. So it's possible that these are the x,y,z values we're after. But note how 5 is not a factor of any of these values, but it is a factor of 4590 (since the value ends in 0).
Furthermore, 3 is a factor of 4590 because the digits of 4590 add to a multiple of 3. We have 4+5+9+0 = 18 which is a multiple of 3.
The teenage years that are multiples of 3 are {15, 18}. Those two values either are even or have 3 as a factor or have 5 as a factor.
Let's see what we get when we multiply 15 and 18. So 15*18 = 270.
Divide 4590 over 270 to get 4590/270 = 17
Through luck we found the answer. Though usually with trial and error problems like this, it takes a bit more work.
So therefore the three ages are 15, 17, 18.
----------------------------------------------
Here's another approach:
Start with the set {13,14,15,16,17,18,19} which again is the set of all possible teen ages.
Divide 4590 over each item in that set
4590/13 = 353.077 approximately4590/14 = 327.857 approximately4590/15 = 3064590/16 = 286.8754590/17 = 2704590/18 = 2554590/19 = 241.579 approximatelyWe see that the denominators 15, 17, and 18 produce whole value results. Everything else leads to a non-whole decimal value. So we can eliminate 13, 14, 16, and 19.
The only thing left is 15,17,18 which are the three different ages.
The temperature at 6 am today was T. Yesterday
the temperature was X degrees less than today at
6 am. Write an expression for the temperature
yesterday at 6am in term of X.
Answers
Answer:yesterday’s was 50 decrease and today is 70 decrease
Step-by-step explanation:
If it was colder yesterday then it could be anything Anything u dear today. :)
ASAP NO WORK JUST ANSWER
Answers
Answer:
c
Step-by-step explanation:
Answer:
y=4x-3
Step-by-step explanation:
passes through point (6,21)
has a slope of 4
1. You buy 6 items for $25.60. About how much did you spend?
$75
$150
$145
$125
Answers
Answer:
About $150
The exact amount spent is $153.60 though
Step-by-step explanation:
Just multiply 25.60 x 6
Answer: 150.
Use long multiplication to evaluate.
153.6
Round 153.6.
three is not greater than five so the final product is
150.
b. Four divided by the difference between a number and seven.
Answers
Step-by-step explanation:
Let the number be x
x - 7/4
The expression of the statement, four divided by the difference between a number and seven is (x-7) /4
What is an Expression?An expression is a mathematical statement which consists of variables, constants and mathematical operators.
An expression has to be made for the statement:
Four divided by the difference between a number and seven.
Difference is the output of the mathematical operation, Subtraction
Let the number in the expression is x
Then the expression can be written as,
Difference between a number and seven = ( x -7)
Four is divided by the difference
The number which is divided is written after the number separated by a / sign.
(x-7) /4
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divide (2x³−5x²+7)÷(x−2)
Answers
Answer:
It would be 2x^2 - x -2 + 3/x-2.
(8x+35)(11x+23) answer of this
Answers
Answer:
Below
Step-by-step explanation:
Use FOIL to calculate:
First
Outer
Inner
Last
So rewrite the equation using FOIL
(8x X 11x) + (8x X 23) + (35 X 11x) + (35 X 23)
88[tex]x^{2}[/tex] + 184x + 385x + 805
reduce down to 88[tex]x^{2}[/tex] + 569x + 805
7/8-5/9 equals what?
Answers
Answer:
23/72 or .3194
Step-by-step explanation:
Answer:
0.31944444444
Step-by-step explanation:
