The dimensions of the canvas would be approximately 11 inches by 7 inches.
Explanation:To determine the dimensions of the canvas, we need to find the side lengths of the golden rectangle. A golden rectangle is a rectangle in which the length is approximately 1.618 times the width. The formula for the area of a rectangle is length multiplied by width. Given that the area of the canvas is 108 square inches, we can set up the equation: length x width = 108. Using the golden ratio, we can express the length in terms of the width as length = 1.618 x width.
Substituting this expression for length in the equation, we get (1.618 x width) x width = 108. Solving for the width, we find width ≈ 6.68 inches. Rounding this to the nearest inch, the width is 7 inches. Substituting this value back into the expression for length gives us length ≈ 11.31 inches, which rounds to 11 inches.
Therefore, the dimensions of the canvas are approximately 11 inches by 7 inches. The correct answer choice is a. 17 x 11.
Learn more about golden rectangle here:https://brainly.com/question/27298717
#SPJ2
Use the table to find the slope.
-2
2
1/2
-1/2
Based on the table of values, the slope of the points is equal to: B. 2.
In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
[tex]Slope(m)=\frac{y_2-y_1}{x_2-x_1}[/tex]
Based on the information provided, we can logically deduce that some of the points are as follows;
Points = (3, 3) and (4, 5)
By substituting the given data points (3, 3) and (4, 5) into the formula for the slope of a line, we have the following:
Slope (m) = (5 - 3)/(4 - 3)
Slope (m) = 2
In conclusion, we can logically deduce that the slope of the points is equal to 2 based on the table of values.
Complete Question:
Use the table to find the slope.
-2
2
1/2
-1/2
5+4q=6+3q
Solve for q.
Answer:
q=1
Step-by-step explanation:
5+4q=6+3q
subtract 3q on both sides
5+q=6
subtract 5 on both sides
q=1
BRANLIEST PLZ!!!!
Answer:
q=1
Step-by-step explanation:
5+4q=6+3q
-3q -3q
5+q=6
-5 -5
q=1
While driving to the store, your vehicle traveled 30 miles. While you we traveling, your vehicle traveled at an average speed of 15 miles per hour due to traffic. How long did it take you to get to the store? Calculating Time.
Whoever answers correctly gets marked brainliest :)
Answer:
2 hours
Step-by-step explanation:
30 miles/x hours = 15 miles/1 hour
30 = 15x
x = 2 hours
To find the time it took to get to the store, divide the distance traveled (30 miles) by the average speed (15 mph), which results in 2 hours. Thus, the trip took 2 hours.
To calculate the time it took to get to the store, we can use the formula time = distance ÷ speed. In this case, the vehicle traveled 30 miles at an average speed of 15 miles per hour. Therefore, the time can be calculated as follows:
Time = 30 miles ÷ 15 miles per hour = 2 hours.
So, it took 2 hours to get to the store.
is axis of symmetry and vertex the same thing?
Answer:
No, not exactly. But they do cross the same point
Step-by-step explanation:
Basically, the axis of symmetry is a line that runs through the vertex,
The vertex is a single point on the line,
They both mark the graphs turning point though!
In ΔDEF, d = 92 cm, e = 42 cm and ∠F=141°. Find the length of f, to the nearest centimeter.
Answer:
127.4
Step-by-step explanation:
a^2+b^2-2(ab)CosC
The side f will be 127.41 cm long.
What is cosine law?The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.
Given is triangle DEF, we need to find the length of the side f, if d = 92 cm, e = 42 cm and ∠F = 141°.
So, using the cosine law,
[tex]c^2=a^2+b^2-2ab\cdot \cos \left(\gamma \right)[/tex]
Therefore,
[tex]f=\sqrt{d^2+e^2-2de\cos 141_{\degrees}[/tex]
[tex]f=\sqrt{42^2+92^2-2\cdot \:42\cdot \:92\cos \left(141^{\circ \:}\right)}[/tex]
f = 127.41
Hence the side f will be 127.41 cm long.
Learn more about law of cosine click;
https://brainly.com/question/17289163
#SPJ3
Translate the given phrase into an algebraic expression and simplify if possible: the quotient of 12 and the product of 3 and 4.
Answer:
Expression: 12/(3*4)
Answer: 1
Step-by-step explanation:
[tex]\frac{12}{3*4} \\[/tex]
[tex]\frac{12}{12}=1[/tex]
Final answer:
The phrase 'the quotient of 12 and the product of 3 and 4' translates to the algebraic expression 12 ÷ (3 × 4), which simplifies to 1.
Explanation:
To translate the given phrase into an algebraic expression, we need to understand the terms used. The phrase is 'the quotient of 12 and the product of 3 and 4'. A 'quotient' is the result of division, and a 'product' is the result of multiplication. First, let's find the product of 3 and 4, which is 3 × 4. This equals 12. Now, we take the quotient of 12 by that product, which means we divide 12 by 12. So, the algebraic expression is 12 ÷ (3 × 4).
When we simplify this expression, since 3 × 4 equals 12, and 12 divided by 12 is 1, the expression simplifies to 1. Therefore, the simplified algebraic expression for the phrase 'the quotient of 12 and the product of 3 and 4' is 1.
64.08 Round to the nearest hundredth
Answer: 64.08
Step-by-step explanation:
Since the 8 is in the hundredth place and there's no thousandths place the number doesn't change leaving u with 64.08
I need help with this problem
Answer:
easy so first 190-15=175 175 lbs. is the light heavyweight class weight limit
Step-by-step explanation:
14 subtracted from a number, divided by 3, equals -8. Just write the equation if you want plzzzz
Huh, alright?
The equation would be (n - 14) / 3 = -8
Hope that helps! :)
What’s the answer????
Answer:
20
Step-by-step explanation:
Linda is throwing a party. She needs 3 liters of soda for every 12 guests. If there are 48 guests attending the party, how many liters of soda will she need?
Answer:She would need 144 liters of soda
Step-by-step explanation:
Answer:
12 liters
Step-by-step explanation:
Since she needs three liters for every 12 guests, and there are 48 guests, we should see how many times 12 goes into 48:
48/12 = 4
Therefore, you need to multiply the amount needed for 12 guests by four:
3 x 4 = 12
You need 12 liters.
PLEASE ANSWER Which of the following is not a step necessary to create a triangle from three given sides?
Draw the remaining sides of the triangle by connecting the endpoints of the segments with the intersection point of the circles.
Measure the final angle formed. Ensure it is greater than 90°.
Create a circle whose center is one of the endpoints of the segment. The length of the radius of the circle is one of the other given lengths.
Draw a segment with one of the given lengths.
Answer:
"Create a circle whose center is one of the endpoints of the segment. The length of the radius of the circle is one of the other given lengths." is not necessary to create a triangle
Step-by-step explanation:
Paula walked on the treadmill for 13 minutes. The machine told her she had a total of 858 strides. What was her rate in strides per minute?
A. 65 strides per minute
B.
66 strides per minute
C. 64 strides per minute
D. 67 strides per minute
Answer:
64
Step-by-step explanation:
832/13
The measure of central angle YCZ is 80 degrees.
What is the sum of the areas of the two shaded sectors?
O 187 units
O 367 units
O 451 units
O 81 units
800
Answer:36 units2
Step-by-step explanation:
Took the testc
The sum of the areas of the two shaded sectors is 36 π units²
What are sectors in a circle?A sector is said to be a part of a circle made of the arc of the circle along with its two radii.
Given that a circle, with central angle 80° and the radius is 9 units
So, area of a sector = θ/360° x π x radius², where θ = central angle
Since, both the sectors are vertically opposite to each other so will same areas,
Therefore, the area of the two shaded sectors,
= 2θ/360° x π x radius²
= 2·80/360 × π × 9²
= 4/9 × π × 81
= 36π
Hence, the sum of the areas of the two shaded sectors is 36 π units²
Learn more about sectors, click;
https://brainly.com/question/15591260
#SPJ7
The complete question is attached
Find m<1
Please please
Answer:
it should equal 68 degrees.
Step-by-step explanation:
if you are looking for the value of m<1, you would first need to find the value of the missing angle on the left triangle. the angles in triangles are equal to 180 degrees, so the equation would be 180 = 50 + 80 + x, and x = 50.
Then move to the middle triangle. The angle you solved for has an angle "connected" to it, its vertical pair, which also equals 50. Then you solve for the last angle, the angle on the right. 180 = 50 + 62 + x, and x = 68.
m<1 is equal to its vertical angle, which is the angle you just solved for. its value should be 68 degrees.
if that wasn't what you were looking for, sorry. hope this helped :)
A commuter airline files a new route between two cities that are 400
kilometers apart. One of the two cities is 200 kilometers from a third
city. The other one of the two cities is 300 kilometers from the third
city. Do the paths between the three cities form a right triangle?
Using the Pythagorean theorem, it is determined that the paths between the three cities, given their distances of 200 km, 300 km, and 400 km, do not form a right triangle because the sum of the squares of the shorter distances does not equal the square of the longest distance.
Explanation:To determine if the paths between the three cities form a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).
The equation is a² + b² = c².
According to the provided distances, one city is 200 kilometers (a) from a third city, and the other city is 300 kilometers (b) from the third city.
The two original cities are 400 kilometers (c) apart.
Plugging these numbers into the Pythagorean theorem:
Since a² + b² does not equal c² (130000 ≠ 160000), the paths do not form a right triangle.
FOR 100 POINTS!!
Consider the quadrilateral below. What is the measure of angle Z
A:24
B:58
C:68
D:112
Answer:
Option C
Step-by-step explanation:
If angle w is 112, angle x has to also be 112
so 112+112=224
all of the angles summed up has to 360, so you subtract 360-224
which equals 136
then divide by 2 and you get 68
Hopefully this makes sense
Answer:
The answer is C: 68
Step-by-step explanation:
The trapezoid has a total amount of 360 degrees.
W = 112 degrees.
W and X are congruent so X also equals 112
SO if you add them together, it is equal to 224.
Subtract from 360 and 136 is left.
Divide by 2 because there is Z and Y(2 angles left) which are also congruent.
This gives the angles measurements of 68 for both Z and Y
Write 5,482 in expanded form
Answer:
5000 + 400 + 80 + 2
What is the greatest common factor of 3x4, 15x3, and 21x??
Answer:
The GCF of 3x^4, 15x^3 and 21x is 3x^2
Step-by-step explanation:
3x^2(x^2), 3x^2(5x) , 3x^2(7)
Answer:
3
Step-by-step explanation:
3*4=12
15*3=45
21x= 7*3*x
Plz help me I will give you brainliest
The answer for this question is C
Answer:
I believe the answer is 12 hours long all year seen a diagram of the earths axis over all the year
Step-by-step explanation:
0.000000123 as múltiple of a power of 10
Answer:
answer is 1230
Step-by-step explanation:
0.000000123 since 10 is positive you go right 10 times i hope this is right
Num supermercado, 200g de queijo e 300g de presunto custam juntos R$ 9,00. Renan resolveu comprar 400g de queijo e 400g de presunto e pagou R$ 14,00. Qual o preço, em reais, do quilograma do presunto?
(A) 1,50 (B) 2,00 (C) 14,00 (D) 15,00 (E) 20,00
Suppose you invest $20,000 at the age of 40, and agree to start receiving
payments at the age of 50. At age 47, you decide you want to withdraw $7500
from your account. What is the IRS fee you will have to pay? Remember, the
IRS charges 10% if you withdraw before you are 59.5.
O
O
o
O
A. $750.00
B. $75.00
C. $500.00
D. $100.00
SURMIT
The amount of the IRS fee you will have to pay is A. $750.00.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
Percentage is usually denoted by the symbol '%'.
Given that,
Amount you invested at the age of 40 = $20,000
You will receive payments at the age of 50.
Amount withdrawn at the age of 47 = $7500
IRS charges 10% if you withdraw before you are 59.5.
Since your age is 47, you have to pay 10% IRS fees.
IRS fees = 10% of 7500
= 10/100 × 7500
= $750
Hence the IRS fee you will have to pay is A. $750.00.
Learn more about Percentage here :
https://brainly.com/question/3344817
#SPJ5
4(1 + 9x)
i need assistance!
Answer:
4+36x
Step-by-step explanation:
Use the distributive property to multiply the equation. 1 times 4 is 4. 9 times 4 is 36 and you must leave the x as a variable.
57:46
Which lists three living units of the human body in order from the simplest to the most complex level of organization?
Answer:
cells bacteria enzymes
Step-by-step explanation:
Melisa has recently inherited $15,000 that she wants to deposit into a savings account for 10 years. She has determined that her two best bets are an account that compounds annually at a rate of 3.95% and an account that compounds continuously at an annual
rate of 3.85%. How much interest could Melisa gain after 10 years if she chooses the 3.85% account?
A. $22,097.15
B. $22,044.21
C. $7,097.15
D. $7,044.21
E. None of them
She will gain $ 6885.4896 after 10 years if she chooses 3.85% account.
Step-by-step explanation:
Given,
Principle (P) = $ 15000
Time (T) = 10 years
Rate of interest (R) = 3.85%
To find the compound interest.
Formula
CI = [tex]P(1+\frac{R}{100} )^{T}-P[/tex]-P
Putting the values we get,
CI = [tex]15000(1+\frac{3.85}{100} )^{10}-15000[/tex]
= 21885.4896-15000
= 6885.4896
Hence,
She will gain $ 6885.4896.
Which trend line properly describes the data relationship in the scatter plot
Answer:
1st one
Step-by-step explanation: The line is the average of all the dots
Answer:
B
Step-by-step explanation:
Got it right
Any help appreciated
Answer:
2677
Step-by-step explanation:
Let's make this easier first of all:
a^2-y^3(a-y^2)y^2
a^2-y^5(a-y^2)
a^2-ay^5+y^7
(-2)^2-(-2)(3)^5+3^7
4-(-2*243)+2187
4-(-486)+2187
4+486+2187
490+2187
2677
Answer:
2677
Step-by-step explanation:
a² - y⁵(a - y)²
(-2)² - (3⁵)(-2 - 3²)
4 - (243)(-11)
2677
what is the value of x? round to the nearest hundredths place:
0.45(x + 1.6) + 5x = 18
Answer:
3.600
Step-by-step explanation:
0.25(x+1.6)+5x=18
Open the bracket first
0.25x+0.72+5x=18
Collect like terms
0.25x+5x=18-0.72
5.25x=18.72
Divide both sides by 5.25
x=3.566~3.600(nearest hundredth)
Answer:
x ≈ 3.2
Step-by-step explanation:
0.45(x + 1.6) + 5x = 18
45/100(x + 16/10) + 5x = 18
¹⁰⁾45x/100 + 720/1000 + ¹⁰⁰⁰⁾5x = ¹⁰⁰⁰⁾18
450x + 720 + 5000x = 18000
5450x = 18000 - 720
5450x = 17280
x = 17280/5450
x = 3.17
x ≈ 3.2
will give first person who answers this correctly Brainiest!!!!