Answer:
To determine the ratio of the note B to middle C, we need to find the frequency of note B and then divide it by the frequency of middle C.
The frequency of note B is 493.9 Hz, and the frequency of middle C is 261.6 Hz.
Therefore, the ratio of the frequency of note B to middle C is:
493.9 / 261.6 = 1.8877
So the answer is (A) 1.8877
Find the solution to the set of equations.
2x + 1 = y
4x + 2 = y
Answer:
(-1/2. 0)
Step-by-step explanation:
Given
y = 2x + 1 [correct form of writing a linear equation!]y = 4x + 2Solving for x
Equate both values of y to find the value of x⇒ 2x + 1 = 4x + 2⇒ 2x = -1⇒ x = -1/2Solving for y
Plug the values of x into one of the equationsy = 4(-1/2) + 2y = -2 + 2 = 0Solution
(x, y)(-1/2. 0)[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required solution set is :
[tex]\qquad \sf \dashrightarrow \:( - \frac{1}{2} ,0)[/tex]
See the attachment for solution ~
The three sides of a triangle of lengths 4, 5, and 7. The triangle is obtuce
Answer:
Let's check this!
Obtuse triangle formula:
c² < b² + a²
Next fill in the formula:
7² < 5² + 4²
Then simplify:
49 < 25 + 16
Then add:
49 < 41
^^49 is not greater than 41 so therefore the triangle is not obtuse.
When the hypotenuse is bigger than the legs of the triangle it is an acute triangle.
Acute triangle formula:
c² > b² + a²
7² > 5² + 4²
49 > 25 + 16
49 > 41 ✔
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The three sides of a triangle of lengths 4, 5, and 7 are not obtuse triangles.
What is the obtuse triangle?The triangle is an obtuse triangle if the sum of the squares of the smaller sides is less than the square of the largest side.
The three sides of a triangle of lengths 4, 5, and 7.
An obtuse triangle is a triangle in which one of the interior angles is greater than 90°.
The sides of a triangle are not an obtuse triangle as determined in the fooling step given below.
Obtuse triangle formula:
c² < b² + a²
7² < 5² + 4²
49 < 25 + 16
49 < 41
Here; 49 is not greater than 41 so therefore the triangle is not obtuse.
Hence, the three sides of a triangle of lengths 4, 5, and 7 are not obtuse triangles.
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17. Kayden creates a linear function where x is the input, y, is the output, and
m and b are constants.
A. Which equation could represent Kayden's function?
y=1/x+ mb
y = mx + b
© x = my • by
.
B.
Which statement about the graph of Kayden's function is true for all
values of m and b?
~ The graph is increasing.
® The graph is decreasing.
© The graph goes through the origin.
The graph has a constant rate of change.
Answer:
see explanation
Step-by-step explanation:
A linear function has the form
y = mx + b ( m is the slope and b the y- intercept )
B
the graph has a constant rate of change , measured by the slope m of the linear function.
Solve for x -3/4x + 8=23
Traveling at a speed of 12 mph, Jen biked home in 20 minutes. What was Jim's speed
if he biked the same distance in 15 minutes?
The speed of Jim if he biked the same distance in 15 minutes is 16 mph
What is speed ?Speed is the distance covered at a particular time. Therefore,
speed = distance / time
The distance in the first journey can be calculated as follows:
speed = 12 mph
time = 20 minutes = 0.3333 hours
12 = x / 0.333
distance = 0.333 × 12 = 3.9996 miles
Therefore, the speed of Jim if he biked the same distance in 15 minutes can be calculated as follows:
15 minutes = 0.25 hours
speed = 3.9996 / 0.25
speed = 15.9984
speed = 16 mph
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Answer:
The speed of Jim if he biked the same distance faster than Jen. In 15 minutes is 16 mph is Jim’s speed
Step-by-step explanation:
Complete the table
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Answer:
Step-by-step explanation:
hours Cost
0 $15
1 $15 + 2.50 = $17.50
2 $15 + 2.50(2) = $15 + 5 = $20
3 $15 + 2.50(3)= $15 + 7.50 = $22.50
4. $15 + 2.50(4)= $15 + 10 = $25
Geena can rent an apartment for $850 per month or she can buy a house for $175,000 at 3.875% interest for 30 years. How much will each housing choice cost for one year?
A. Price of Renting:
B. Price of Buying:
Using simple interest, it is found that the prices are as follows:
A. $10,200.
B. $12,614.58.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount.r is the interest rate, as a decimal.Item a:
$850 for 12 months, hence the yearly cost is:
P = 850 x 12 = $10,200.
Item b:
The total cost is found using simple interest with A(0) = 175000, t = 30, r = 0.03875, hence:
A(t) = A(0)(1 + rt)
A(30) = 175000[1 + 0.03875(30)]
A(30) = 378437.5.
The yearly cost is given by:
378437.5/30 = $12,614.58.
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m(m − n)
for m = 3 and n = 1
Lol pla helllllllllp
Answer:
66x
Step-by-step explanation:
Rect = bh
Rect = 15 x 4x
Rect = 60x
Triangle = (bh) / 2
B = 7x - 4x
B = 3x
A = 15 - 11
A = 4
Tri = (4 x 3x) / 2
Tri = 12x / 2
Tri = 6x
All = Rect + Tri
All = 6x + 60x
All = 66x
(I promise it's right this time)
Answer:
66x
Step-by-step explanation:
Separate the shape into a rectangle and a triangle.
Dimension of the rectangle:
length = 15width = 4xDimension of the triangle:
base = (15 - 11) = 4height = (7x - 4x) = 3xArea of a rectangle = length × width
Area of a triangle = 1/2 × base × width
Total area = area of rectangle + area of triangle
= (15 × 4x) + (1/2 × 4 × 3x)
= 60x + 6x
= 66x
Is ABC~ DEF? If so, identify the similarity postulate or theorem that applies.
Answer:
a
Step-by-step explanation:
i hope it helps
*correct me if im wrong
2x+2y=6 3x-y=5 equivalent equation
Answer:
x = 2, y = 1
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}2x+2y=6\\ 3x-y=5\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Isolate\;x\;for\;2x+2y=6:x=3-y}[/tex]
[tex]\mathrm{Substitute\:}[/tex]
[tex]\begin{bmatrix}3\left(3-y\right)-y=5\end{bmatrix}[/tex]
[tex]\mathrm{Simplfy}[/tex]
[tex]\begin{bmatrix}9-4y=5\end{bmatrix}[/tex]
[tex]\mathrm{Isolate\;y\;for\;9-4y=5:y=1}[/tex]
[tex]\mathrm{For\:}x=3-y\;\mathrm{Substitute\:}y=1[/tex]
[tex]x=3-1[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=2[/tex]
[tex]\mathrm{The\:Answers\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=2,\:y=1[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Check Answer:
Since [tex]x =2 , y =1[/tex]
[tex]2(2)+2(1)[/tex]
[tex]4 + 2[/tex]
[tex]= 6[/tex]
True
[tex]3(2) - (1)[/tex]
[tex]6 -1[/tex]
[tex]5[/tex]
True
Hence, [tex]x = 2, y = 1[/tex]
~Lenvy~
Suppose that 16 inches of wire costs 48 cents at the same rate ,how many inches of wire can be bought for 39 cents?
will give brainliest!!!
Answer:
2 is the answer
i used pemdas/ order of operations
Step-by-step explanation:
Mary wants to buy a sewing machine, she can buy it for $315 cash, or on hire purchase for $25 down payment and 12 monthly instalments of $27. 50. How much more will Mary have to pay on hire purchase?
Answer:
She will pay $40 more.
Step-by-step explanation:
I used the equation y=27.50x + 25 to find this out and made x = 12 to represent how many months she is paying.
now putting x into the equation, y = 27.50(12) + 25
First i did the multiplication, 27.50 x 12 = $330.
Then I added 25 to 330 for the down payment, 330 + 25 = 355
I then did 355 - 315 to find out how much more you would pay,
355 - 315 = $40
Hope this helps!
Study the figure to answer the question.
Triangle A B C. The coordinates of the vertices of triangle A B C are A (0, 4), B (4, 0), and C (0, 0).
Which best describes the three-dimensional figure obtained from rotating the figure around the y-axis?
a triangular prism with a base length of 4 units
a cone with a radius of 2 units
a cylinder with a radius of 4 units
a cone with a radius of 4 units
Answer:
a cone with a radius of 4 units
Step-by-step explanation:
when rotating something, this involves a circle. so, the result will always be round and never edgy. therefrom the first option is wrong.
and we are rotating a triangle. the result will have a wide base and a pointed tip. so, the third option is wrong.
the rotation does not make the basic shape smaller. so, the second option is wrong.
yes, the fourth option is correct.
What is the next term of the geometric sequence? 40/27, 20/9, 10/3, ??
Answer:
3/1
Step-by-step explanation:
Ramer and knox began a partnership by investing $64,000 and $94,000, respectively. the partners agreed to share net income and loss by giving annual salary allowances of $52,000 to ramer and $41,600 to knox, 10% interest allowances on their investments, and any remaining balance shared equally. (enter all allowances as positive values. enter losses as negative values.) required: 1. determine each partner's share given a first-year net income of $102,800. 2. determine each partner's share given a first-year net loss of $20,800.
Each partner's share given a first-year net income of $102,800 is $-3,300.
Each partner's share given a first-year net loss of $20,800 is $-44,300.
What is each partner's share?Partner' share = net income / loss - interest - salary salary allowance
Interest = ($64000 x 10%) + ($94000x 10%) = $15,800
Salary = $52,000 + $41,600 = $93,600
Share of net income = [$102,800 - (15,800 + 93600)] / 2 = $-3,300
Share of net loss = [-20,800 - (15,800 + 93600)] / 2 = $-44,300
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Which value would make the inequality 4.5d > 31.5 true?
A. d=8
B. d=7
C. d=6
D. d=5
Answer:
d=8
Step-by-step explanation:
4.5(8)>31.5 works because 36>31.5
Please Help! Will Give Brainlest!
Answer:
y = 0
Step-by-step explanation:
Midline = the horizontal center line
The length of one leg of an isosceles right triangle is 3 ft. what is the perimeter of the triangle? 3 3 startroot 2 endroot ft 3 3 startroot 3 endroot ft 6 3 startroot 2 endroot ft 6 3 startroot 3 endroot ft
The perimeter of the isosceles right angled triangle whose one leg is of 3 ft is given by: Option C: 6 + 3√2 ft
It has two equal sides, and those two equal sides make 90 degrees (right angle) internally.
Referring to the figure, assuming:
Both equal sides are of length 'a' feetThe unequal side is of the length 'b' feet.Using the Pythagoras theorem, we get:
[tex]a^2 + a^2 = b^2\\\\a = b/\sqrt{2}[/tex]
It was given that length of one of the leg is of 3 ft. Leg of an isosceles triangle refers to one of its equal sides.
Thus, we got [tex]a = 3[/tex], and therefore, we have: [tex]a = b/\sqrt{2} \implies b = a\sqrt{2} = 3\sqrt{2}[/tex]
Thus, perimeter of the triangle as:
[tex]a + a + b = 2a + b = 6 +3\sqrt{2} \: \rm ft[/tex]
Thus, the perimeter of the isosceles right angled triangle whose one leg is of 3 ft is given by: Option C: 6 + 3√2 ft
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Answer:
C : 6 + 3√2 ft
Step-by-step explanation:
it is right
trust me
Describe how to use the formula C = StartFraction 5 Over 9 EndFraction (F minus 32) to find the temperature in degrees Celsius if the temperature is 86°F. What is the temperature in degrees Celsius?
WRITEN RESPONE
Answer:
30°C
Step-by-step explanation:
The Conversion Formula :-
F - 32 / 9 = C / 5F is given to be 86.
Substitution
86 - 32 / 9 = C / 554 / 9 = C / 5C = 6 x 5C = 30°CAnswer:
Sample Response: To find the celsius temperature, substitute 86 for F in the formula. Then, use the order of operations to simplify. Substract 32 from 86. Then multiply 5 9 by 54 to get 30°C.
Step-by-step explanation:
Find the measure of the missing angle
Answer:
g=118 degrees h=62 degrees
Step-by-step explanation:
So we can use some angle rules that I forget the name of to solve this.
Let's look at angle g first. We know that the opposite angle is 118 degrees. So that also means that g is going to be 118 degrees.
Since g is 118 degrees we can find h. The angle of a line is 180 degrees. This means that we can do 180-118 to find h. h=62 degrees.
We can do the same thing for k and m. Try doing what I did for g and h for those two. Comment if you need help.
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pls if you can pls include step by step explanation
Answer:
A. 0.125 foot per square feet
Step-by-step explanation:
When finding average rate of change, use the formula
ΔY/ΔX
The ΔY, or Y final - Y initial would be 1.5-1.0, which is equal to 0.5.
The ΔX, or X final - X initial would be 7-3, which is equal to 4.
Plug these values into the equation ΔY/ΔX to get 0.5/4.
This will give you 0.125.
Just number 1 please and explain
tanS = 5/12
tanR = 12/5
ur welcome norissa
Name the postulate that proves these two triangles congruent.
Answer:
the postulate that proves these two triangles congruent is AAA or angle angle angle.
Specific gravity will tell you a fraction of how much
object will be below the water while its floating. For
instance, ice has density of 0.92 g/ml so its specific gravity
0.92, what does 0.92 indicate?
The value 0.92 indicates the relative density of the ice.
Data;
Density = 0.92g/mlSpecific gravity = 0.92Specific GravitySpecific gravity of a substance is defined as the relative density of substance. This can be further said to be the ratio between the density of a substance to the density of the reference substance.
mathematically;
[tex]relative density = \frac{density of substance}{density of reference}[/tex]
The value 0.92 indicates the relative density of the ice.
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In the parallelogram shown, find the measure of ∠A.
Answer: 40 degrees
Step-by-step explanation:
center and the radius please!
Answer:
the center is (-2,4) and the raduis is 3
Step-by-step explanation:
For equations of circles, the center will be the inverse of the euation. for example. If the equation had (x+3)^2 and (x-4)^2 the center is (-3,4).
And for the raduis of a circle equation it is always r^2. Since the 9 is in place, 3^2 is just 3x3 = 9.
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In a regular polygon the line from the center to the mid-point of an outer side is a(n)
Answer:
The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides.
Step-by-step explanation:
Apothem In a regular polygon the line from the center to the mid-point of an outer side is a(n).
What is a cube?It is a polygon having six faces.
The volume of a cube is a side cube.
We have,
The apothem of a regular polygon is a line segment from the center to the midpoint of any one of its sides.
Thus,
The line from the center to the mid-point of an outer side is a(n) is Apothem.
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divide, need help again ppl, thanks!
Answers:
5.) [tex]\displaystyle \pm{1\frac{2}{3}}[/tex]
4.) [tex]\displaystyle 2[/tex]
3.) [tex]\displaystyle \pm{1\frac{2}{3}}[/tex]
2.) [tex]\displaystyle 2[/tex]
1.) [tex]\displaystyle \pm{2}[/tex]
Step-by-step explanations:
5.) [tex]\displaystyle \frac{\sqrt{75}}{\sqrt{27}} \hookrightarrow \sqrt{2\frac{7}{9}} \hookrightarrow \frac{\pm{5\sqrt{3}}}{\pm{3\sqrt{3}}} \\ \\ \boxed{\pm{1\frac{2}{3}}}[/tex]
4.) [tex]\displaystyle \frac{\sqrt[5]{96}}{\sqrt[5]{3}} \hookrightarrow \sqrt[5]{32} \hookrightarrow \frac{2\sqrt[5]{3}}{\sqrt[5]{3}} \\ \\ \boxed{2}[/tex]
3.) [tex]\displaystyle \frac{\sqrt{125}}{\sqrt{45}} \hookrightarrow \sqrt{2\frac{7}{9}} \hookrightarrow \frac{\pm{5\sqrt{5}}}{\pm{3\sqrt{5}}} \\ \\ \boxed{\pm{1\frac{2}{3}}}[/tex]
2.) [tex]\displaystyle \frac{\sqrt[3]{24}}{\sqrt[3]{3}} \hookrightarrow \sqrt[3]{8} \hookrightarrow \frac{2\sqrt[3]{3}}{\sqrt[3]{3}} \\ \\ \boxed{2}[/tex]
1.) [tex]\displaystyle \frac{\sqrt{8}}{\sqrt{2}} \hookrightarrow \sqrt{4} \hookrightarrow \frac{\pm{2\sqrt{2}}}{\pm{\sqrt{2}}} \\ \\ \boxed{\pm{2}}[/tex]
I am joyous to assist you at any time.