Answer:
(5, 8.66)
Step-by-step explanation:
Let x represent the x coordinate of the clock tip and y represent the y coordinate of the clock tip.
At 12:05 pm, the clock tip forms an angle of 60° with the x axis. Therefore:
θ = 60°
[tex]tan\theta=\frac{y}{x} \\\\tan60=\frac{y}{x} \\\\y=1.732x\\\\y-1.732x=0\ \ \ (1)[/tex]
Since the minute hand is 10 inches long, hence:
[tex]\sqrt{x^2+y^2}=10\\\\x^2+y^2=100\\\\substituting\ y=1.732x, gives\\\\x^2+(1.732x) ^2=100\\\\x^2+3x^2=100\\\\4x^2=100\\\\x^2=25\\\\x=5[/tex]
To find y, substitute x = 5:
y = 1.732(5) = 8.66
This means that the coordinate of the tip of the minute hand at: 12:05 p.M. is (5, 8.66)
Which table represents a linear function? PLSS HELP Giving brainliest.
Answer:
The first one I'm pretty sure.
Step-by-step explanation:
50 points
Help if you know.
Thanks.
Answer:
RhombusStep-by-step explanation:
Refer to attached
You can easily calculate that each of the sides have the length:
AB= BC = CD = AD = [tex]\sqrt{1^2+4^2} = \sqrt{17}[/tex]Parallel sides have equal slopes:
m = - 4 for AB and CDm = - 1/4 for AD and BCDiagonals are perpendicular as their slopes are negative reciprocal:
m = 1 for ACm = -1 for BDSo we see the quadrilateral ABCD has two pairs of parallel sides, all sides are equal and the diagonals are perpendicular.
This is the definition of the rhombus.
In the United States, 13 out of every 20 cans are recycled. What percent of cans are recycled? Write an equation to represent this situation.
I will give brainliest if someone helps me write my equation.
Answer:
65% of cans are recycled
x*0.65 could be the equation
James had $ 6500 in a bank account that paid 4% interest at the end of each year. How much money did Mr. James have in his account at the end of 1 year ?
$6700
$ 6760
$ 6750
$6775
Answer:
6760
Step-by-step explanation:
4% of 6500
= (6500 x 4) ÷ 100
= 26000 ÷ 100
= 260 $
6500 + 260 = 6760$
Find the volume of a pyramid with a square base, where the perimeter of the base is
17 cm and the height of the pyramid is 15 cm. Round your answer to the nearest
tenth of a cubic centimeter.
Answer:
90.3125 cm³
Step-by-step explanation:
Since the perimeter of the bottom square is 17, you can divide by four to find out what the lenght of each side is.
17/4=4.25 cm
We know the height of pyramid is 15 cm
The formula for the volume of a square pyramid is
V=a²(h/3)
V=a2(h/3)=4.252·15/3=90.3125 cm³
−2x+y=0, −7x+3y=2 adding
Answer:
X= -2, y=-4
Step-by-step explanation:
hard to explain it
12. The base angles of an isosceles triangle are represented by (5x + 10) and 50°. Find x.
Answer:
x = 8
Step-by-step explanation:
Base angles of isoceles triangle are equal
5x + 10 = 50
5x = 40
x = 8
need help again... asap
Answer:
9/41
Step-by-step explanation:
cos=adjacent/hypotenuse
adjacent=9
hypotenuse=41
Which equation for a line with a slope of -3 and a y intercept of 4? Multiple Choice Answer: y=-4+3, y= - 3/4x+4, y=-3x+4, y= - 4\3x-3. HElP QUICKLY
y=-3x+4
dedont be suspicoes
A MOP TO CLEAN CULO
c
c
c
c
c
Is -6 a solution for the equation 3(2x - 8)= -4(-6 +21)?
Answer:
YeS, it is a solution
Step-by-step explanation:
Here, we want to check if -6 is a solution to the question
What we have to do is to replace x by -6
If what we have on the left equals that on the right, then -6 is a solution
Thus, we have it that;
3(2(-6) -8)
= 3(-12-8)
= 3(-20) = -60
for the right hand side
-4 (15) = -60
This means both sides are equal and that -6 is a solution
Jennifer deposits $1,000 into an account that is compounded monthly for 4 years. The account earns 7% interest. What is the ending balance in the account at the end of the 4 years (assuming no new deposits or withdrawals)?
SHOW THE WORK PLEASE
Answer:
1000( 1 + 7/100)^4 = 1310.79601 which is 1311
Your friend Mel says he has an easier way to solve this problem. Here are the first steps in his method.
First, isolate all of the x-terms on the left side. This leaves a constant on the right that isn't equal to 0.
Factor the GCF out of the terms on the left side.
If there's a whole-number factor on the left side, divide both sides by that number. Notice that after you do this, one factor on the left is just x.
Apply Mel's steps to your equation in question 1. (5 points)
The original equation is 2x^2 +6x+4=24 ft.^2
Simplifying
2x2 + 6x + 4 = 24
Reorder the terms:
4 + 6x + 2x2 = 24
Solving
4 + 6x + 2x2 = 24
Solving for variable 'x'.
Reorder the terms:
4 + -24 + 6x + 2x2 = 24 + -24
Combine like terms: 4 + -24 = -20
-20 + 6x + 2x2 = 24 + -24
Combine like terms: 24 + -24 = 0
-20 + 6x + 2x2 = 0
Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 3x + x2) = 0
Factor a trinomial.
2((-5 + -1x)(2 + -1x)) = 0
Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:
Simplifying
-5 + -1x = 0
Solving
-5 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5
Combine like terms: 0 + 5 = 5
-1x = 5
Divide each side by '-1'.
x = -5
Simplifying
x = -5
Answer:
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:
-5 + -1x = 0
-5 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
-5 + 5 + -1x = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5
Combine like terms: 0 + 5 = 5
-1x = 5
x = -5
Step-by-step explanation:
Example :
3X+4 X=2
3(2)+4
6+4
10
1. 2X-5 X= 7
2. X2 - 15 X= 5
3. X/9 +6 X = 81
4. 8X -4. X = 13
Answer:
1) 9
2) -5
3) 15
4) 100
those are the answers
9514 1404 393
Answer:
91015100Step-by-step explanation:
As in the example, put the value where the variable is and do the arithmetic.
1. 2·7 -5 = 9
2. 5^2 -15 = 10
3. 81/9 +6 = 15
4. 8·13 -4 = 100
Your calculator can do the math.
Write the equation of a circle that has a diameter of 12 units if its center is at (4,7).
PLZ HELP ASAP! I will give you BRAINLIEST
9514 1404 393
Answer:
(x -4)^2 +(y -7)^2 = 36
Step-by-step explanation:
The equation of a circle with radius r and center at (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
When the diameter is 12, the radius is 6 (half the diameter). Then for your center point, the equation is ...
(x -4)^2 +(y -7)^2 = 36
3
Natalie bought 3/4 pound flour for baking. She used 2/3 of the flour to make cookies. How many pounds of flour did she use?
Answer:
it blurry
Step-by-step explanation:
Write the equation of the line parallel to y = 0 which passes through (-2, 4).
Answer:
y = 4
Step-by-step explanation:
please find the value of x :)
my teacher wasnt much help and I missed the lesson :/ so please help
Answer:
10°
Step-by-step explanation:
All angles on a straight line equal 180°.
Answer:
x=10 degrees
Step-by-step explanation:
Every straight line will always be equavilant to 180 degrees. So I added 92+78 which gave me 170. From there, I subtracted 180-170 which gave me 10 degrees. Hope this helps!
The graph of f(x) = 1/x has been transformed to create the graph of g(x) = a/x
What is the value of a?
2
-3
3
-2
Answer:
2/x
Step-by-step explanation:
The easy way:
take point (2,1) on graph g
subst the values into g(x)=a/x
1=a/2
a=2
thus -> 2/x
The value of a is 2 for the transformed function g(x) = a/x.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The value of a is calculated as,
Take point (2,1) on graph g and substitute the values into g(x)=a/x
1=a/2
a=2
Therefore, the value of a is 2 for the transformed function g(x) = a/x.
To know more about graphs follow
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the distance an asteroid travel is directly proportional to the amount of time it travels if an asteroid travels 112,000 miles in 2 hours how far will it travel in 24 hours
Answer:
1,344,000
Step-by-step explanation:
since 2 hours have gone by divide 112,000 by 2 you will get 56,000 meaning the asteroid is going 56,000 Miles Per Hour now Multiply 56,000(MPH) by 24 (Hours)
You're Answer: 1,344,000
!Help Please!
Find the volume of this cylinder
Answer:
V~1911
Step-by-step explanation:
7^2=49
3*49=147
147=1911
V~1911
What is x equal to in this problem?
Answer: x = 6
Step-by-step explanation:
All angles in a triangle = 180*
9x - 11 + 80 + 57 = 180
9x + 137 = 180
9x = 54
x = 6
Plug in to see if its correct
9 (6) - 11 + 80 + 57 = 180
54 + 126 = 180
180 = 180
Wayne is hanging a string of lights 45 feet long around the three sides of his patio, which is adjacent to his house. The length of his patio, the side along the house, is five feet longer than twice its width. Find the length and width of the patio.
Answer:
The length and width of the patio are 18¹/₃ feet and 6²/₃ feet respectively.
Step-by-step explanation:
Let L and W be the length and width of the patio respectively. Since the patio is a rectangle, its perimeter, P = 2(L + W). This perimeter equals the length of string of lights which is 45 ft.
Now, the length of his patio, the side along the house, is five feet longer than twice its width implies that L = 2W + 5.
Substituting L into P, we have
P = 2(L + W)
= 2(2W + 5 + W)
= 2(3W + 5)
= 6W + 5
Since P = 45 feet,
6W + 5 = 45
6W = 45 - 5
6W = 40
W = 40/6
W = 20/3 feet
W = 6²/₃ feet
Since L = 2W + 5, substituting W = 20/3 into L, we have
L = 2W + 5
= 2(20/3) + 5
= 40/3 + 5
taking the L.C.M, we have
= (40 + 15)/3
= 55/3 feet
= 18¹/₃ feet
So, the length and width of the patio are 18¹/₃ feet and 6²/₃ feet respectively.
Write the word sentence as an equation.
The sum of a number x and 4 equals 12.
An equation that represents this sentence is
Answer: x+4 = 12
Step-by-step explanation:
ITS A ANGLE QUESTON PLS HELP
This is a right angles triangle
(6x6)/2
18
Hope this helps :>From CambridgePlease give brainliestAnswer:
18 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 6 and h = 6 , then
A = [tex]\frac{1}{2}[/tex] × 6 × 6 = 3 × 6 = 18 cm²
1))Evaluate the expression for d = 3.
4d + 6 =
Answer:
18
Step-by-step explanation:
4d+6=
you substitute 3 for d
4(3)+6=
12+6=
18
Answer:
4 x 3 + 6 = 18
Step-by-step explanation:
4 x 3 = 12
12 + 6 = 18
4 points
4.) How could we determine who has the greater total change in the
amount of juice in their carton?
Felicia pours juice from a carton into a glass. Every time she fills the glass, the
amount of juice in the carton changes by -0.44 L. She fills her glass 2 times in
all. Bernadette has a different carton of juice that is the same size. Every time she
fills her glass, the amount of juice in her carton changes by -0.42 L. She fills her
glass 2 times in all. Who has
the greater total change in the amount of juice in
their carton?
A. 2 3/4 multiplied by (-0.44) and 2 2/3 multiplied by (-0.42)
B. 2 3/4 divided by -0.44 and 2 2/3 divided by -0.42
Answer:
A is the answer you sent on the question on carton
does anyone know how to solve for the range?
Answer:
{-3,0,2,5}
Step-by-step explanation:
range consists of all y-values from each ordered pair in the relation shown
Solving Logarithmic Equations
不
Identify the solution set of 3 In 4 = 2 In x.
o {6}
O {-8, 8}
o {8}
DONE
(8)
Answer:
Step-by-step explanation:
3ln(4) = 2ln(x)
ln(4³) = ln(x²)
4³ = x²
(2²)³ = x²
2⁶ = x²
x = ±√2⁶ = ±2³ = ±8
However, the argument of a logarithm must be positive, so x=8.
The solution set of the equation is {8, -8}, but we can discard the negative solution as it is not physically meaningful in this context. So, the final solution set is {8}. Option D is correct.
To solve the equation, we can use the logarithmic identity that states:
n * log(a) = log(aⁿ)
Using this identity, we can rewrite the equation as:
In(4³) = In(x²)
Simplifying both sides using the natural logarithm properties, we get:
In(64) = In(x²)
Taking the exponential of both sides, we have:
[tex]e^{In 64} = e^{In x^2}\\64 = x^2[/tex]
Taking the square root of both sides, we get:
x = ±8
However, we must check if either of these solutions makes the argument of the natural logarithm negative, which is not allowed. Since the argument of the natural logarithm is positive for both x = 8 and x = -8, both solutions are valid.
Therefore, the solution set of the equation is {8, -8}, but we can discard the negative solution as it is not physically meaningful in this context. So, the final solution set is {8}.
Learn more about logarithmic function here:
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Evaluate x-(-11) for x = 14.
Step-by-step explanation:
x-(-11)
= x+11
= 14+11
= 25
tom and Tamir applied to the same university. They looked up the average SAT score of students admitted to that university. Tom’s SAT score was 260 points above the average score. Tamir’s SAT score was 20 points below the average score. Which expression represents the difference in their scores? -❘260 - 20❘ ❘-20 - 260❘ ❘260 - 20❘ -❘260❘ - ❘20❘
Answer:
|260 -20|
Step-by-step explanation:
The difference between their scores is 240 which is always positive +