Answer: 1/6
Step-by-step explanation:
3x = 18y
y = kx
where,
k = constant of proportionality
3x = 18y
Divide both side by 18
3x/18 = 18y/18
y = 1/6x
k = 1/6
hi guys could you please help me with this problem?
Answer:
7
Step-by-step explanation:
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write the three expressions that are equivalent ro 70/ -5.
Answer:
-50-4, -27×2, 54×-1
Step-by-step explanation:
Jessica can build a bookshelf in 4 hours. Sydney can build a bookshelf in 6 hr. How long will it take them if they build the bookshelf together?
Answer:
About 2.4 Hours
Step-by-step explanation:
1/4+1/6=1/h
12h(1/4+1/6)=12h(1/h)
3h+2h=12
5h=12
12/5=2.4
When working together, Jessica and Sydney can construct a bookshelf in 2.4 hours. This is based on their individual rates of work.
Explanation:This problem involves the concept of rates of work. We need to find out how long it will take for Jessica and Sydney to build a bookshelf together. Jessica builds one bookshelf in 4 hours, so her work rate is 1/4 bookshelves per hour. Sydney builds one bookshelf in 6 hours, hence her work rate is 1/6 bookshelves per hour.
When Jessica and Sydney work together, their work rates add together. So the combined work rate is 1/4 + 1/6 = 5/12 bookshelves per hour. Since they are building just one bookshelf, we can find the time it takes by dividing the number of bookshelves (1) by the work rate (5/12). Therefore, when working together, Jessica and Sydney can build a bookshelf in 12/5 or 2.4 hours.
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Two cylinders have the same size base, but one is twice as tall. Explain why the taller cylinder does not have double the surface area
Answer:
Because surface area has nothing to do with how tall it is
Step-by-step explanation:
Surface area involves the base shape of the object, if both cylinders have a base of the same size and shape, then the surface area of the face of that object will remain the same. how tall the cylinder is would affect volume however.
Please mark brainliest :)
Answer:
Sample response: The surface area of a cylinder is the sum of the areas of the two bases and the area of the lateral surface. If the height of the cylinder is doubled, the area of the lateral surface is doubled, but the areas of the bases remain the same.Step-by-step explanation:
an element with a mass of 540 grams decays by 17.9% per minute to the nearest tenth of a minute how long will it be until there are 90 grams of the element remainibg
Answer:
It'll take approximately 9.1 minutes
Step-by-step explanation:
The decay of this element can be modeled by the following expression:
m(t) = 540*(1 - 0.179)^t
Where m is the mass of the element in a given minute t. This expression comes from a compounded interest formula, with negative rate, since they will work in the same manner. Therefore to find how long until it reaches 90 g, we need to make m = 90 and solve for t.
90 = 540*(0.821)^t
(0.821)^t = 90 / 540
(0.821)^t = 1/6
ln(0.821^t) = ln(1/6)
t*ln(0.821) = ln(1) - ln(6)
t*ln(0.821) = - ln(6)
t = -ln(6)/ln(0.821) = 9.08452
It'll take approximately 9.1 minutes
Answer:the correct answer is 9
Step-by-step explanation:
Leon runs 1 .6miles 5 day a week how many miles does he run in total in one week
Use fraction operations to compare the regions of Canada in 5 different ways. Make sure that one comparison has 3 or more operations, one comparison involves 2 operations, and each of the four operations is used somewhere.
The fractions are Atlantic = 1/18
West = ¼
Territories = ⅓
Quebec = ⅙
Ontario = 1/9
Answer:
1/3,1/6,1/4
Step-by-step explanation:
atlantic and ontario do not compare
the others do
Willy has compounded monthly to invest his summer earnings of $4259 in the
Rock Solid Bank. The bank is offering 6%. Willy plans to use the money to go to
college in 5 years. How much will he have in 5 years?
We have been given that Willy has compounded monthly to invest his summer earnings of $4259 in the Rock Solid Bank. The bank is offering 6%. We are asked to find the amount of money will be after 5 years.
We will use compound interest formula to solve our given problem.
[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where,
A = Final amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year.
t = Time in years.
[tex]6\%=\frac{6}{100}=0.06[/tex]
Since interest is compounded monthly, so [tex]n=12[/tex] and [tex]P=4259[/tex].
[tex]A=\$4259(1+\frac{0.06}{12})^{12\cdot 5}[/tex]
[tex]A=\$4259(1+0.005)^{60}[/tex]
[tex]A=\$4259(1.005)^{60}[/tex]
[tex]A=\$4259(1.3488501525493161)[/tex]
[tex]A=\$5744.752799707\approx \$5744.75[/tex]
Therefore, Will will have approximately [tex]\$5744.75[/tex] in 5 years.
Enter the trigonometric equation you would use to solve for x in the following right triangle. Do not solve the equation.
Answer:
x = sine 70° / 8
Step-by-step explanation:
The triangular pyramid has identical equilateral triangles as its faces. Find the surface area of the pyramid.
Alternative Text
A. 113.4 ft2
B. 140.4 ft2
C. 226.8 ft2
D. 631.8 ft2
Answer:
B. 140.4 square feet.Step-by-step explanation:
If all faces are equilateral, and they are all congruent, that means the surface area of the pyramid is formed by 4 equal triangles, including the base.
We just need to find the area of one triangle and then multiply it by 4.
According to the image, the height of a triangle face is [tex]h=7.8 \ ft[/tex], and its base is [tex]b=9 \ ft[/tex]. So, the area is
[tex]A=\frac{1}{2} (b \times h)[/tex]
[tex]A=\frac{1}{2}(7.8 \times 9) =35.1 \ ft^{2}[/tex]
Then, the total surface area of the pyramid is
[tex]S=4(35.1)=140.4 \ ft^{2}[/tex]
Therefore, the right answer is B. 140.4 square feet.
Use the net as an aid to compute the surface area (rounded to the nearest integer) of the triangular pyramid with an equilateral triangle base.
A) 130 yd2
B) 150 yd2
C) 170 yd2
D) 190 yd2
BRAINLIEST ASAP Martha places a triangle at (5, 2) on a coordinate plane. If she wants to place a square 7 points away, what might be the coordinates of the square?
Answer:
the coordinates would be (12,2) Hope it helps :)
Step-by-step explanation:
its just that
Who knows the correct answer to this???
Answer:
A. y = 3x + 1
Step-by-step explanation:
Slope-intercept form y = mx + b
m = slope
b = y - intercept
For a normal distribution given a standard deviation of 3.8 in a mean of 54 what percent lies above 48
A 0.1690
B 0.0571
C 0.7660
D 0.9429
Answer:
choice D.) 0.9429
Step-by-step explanation:
Given a Normal data set
mean u = 54
standard deviation s = 3.8
we want P( X > 48)
Standardize this probability so we can use Z-scores.
P( X > 48) = P( (X - u)/s > (48 - 54)/3.8 ) = P(Z > -1.5789)
so I look for P ( Z > 1.5789) = 0.0571
so P(Z > -1.5789) = 1 - P(Z > 1.5789) = 1 - 0.0571 = 0.9429
Amanda delivers 56 meals in 4 hours. At this rate, how many meals can she deliver is 7 hours?
Answer:
98
Step-by-step explanation:
On average she delivers about 14 meals per hour
If you divide 56 by 4 you get 14 ^
Then if you multiply 14 by 7 you get 98
In the figure, AC = 15 ft, m∠ABC = 60°, m∠ADC = 45°, and m∠AEC = 30°. Find each of the following measures. Show your work or explain your reasoning.
Answer:
a) BC = 8.66 feet
b) AD = 21.2134 feet
c) EC = 25.9785 feet
Step-by-step explanation:
a)
To find the length of BC, we just need to use the tangent relation of the angle ABC, where the opposite side is the length of AC and the adjacent side is the length of BC:
tangent(60) = AC / BC
1.7321 = 15 / BC
BC = 15 / 1.7321 = 8.66 feet
b)
To find the length of AD, we just need to use the sine relation of the angle ADC, where the opposite side is the length of AC and the hypotenusa is the length of AD:
sine(45) = AC / AD
0.7071 = 15 / AD
AD = 15 / 0.7071 = 21.2134 feet
c)
Similarly to the procedure in letter a), to find the length of EC, we just need to use the tangent relation of the angle AEC, where the opposite side is the length of AC and the adjacent side is the length of EC:
tangent(30) = AC / EC
0.5774 = 15 / EC
EC = 15 / 0.5774 = 25.9785 feet
What is the best estimate of the lateral area of a cube with edges that are 2.1 inches long?
The best estimate of the lateral area of a cube with 2.1-inch edges is 17.64 square inches, calculated by squaring the edge length to find the area of one side (4.41 square inches) and then multiplying by four since there are four lateral faces.
The question asks for the best estimate of the lateral area of a cube with edges that are 2.1 inches long.
To calculate the lateral area of a cube, we need the formula for the lateral area, which is the sum of the areas of all the sides excluding the top and bottom faces. Since a cube has six faces, we have four lateral faces to consider.
The area of one face of a cube is obtained by squaring the length of one edge. In this case:
Area of one side = edge length × edge length = 2.1 inches × 2.1 inches = 4.41 square inches
Since there are four sides whose areas we need to count for the lateral area, we multiply the area of one side by four:
Lateral area = 4 × Area of one side = 4 × 4.41 square inches = 17.64 square inches
Therefore, the best estimate of the lateral area of the cube is 17.64 square inches.
Final answer:
The best estimate of the lateral area of a cube with 2.1-inch edges is approximately 17.64 square inches, calculated by squaring the edge length and multiplying by four since a cube has four lateral faces.
Explanation:
The goal is to estimate the lateral area of a cube with edges that are 2.1 inches long. The lateral area of a cube is the sum of the areas of all the sides of the cube, excluding the top and bottom faces. Since the cube has six faces and we only need the sides, we calculate for four faces.
Each face of a cube is a square, so to find the area of one face, we square the length of the edge:
Area of one side = Edge length × Edge length
Area of one side = 2.1 inches × 2.1 inches
Area of one side = 4.41 square inches
Since there are four sides whose area we are considering for the lateral area:
Lateral area = 4 × Area of one side
Lateral area = 4 × 4.41 square inches
Lateral area = 17.64 square inches
So, the best estimate of the lateral area of the cube is approximately 17.64 square inches.
Solve the equation using the distributive property and properties of equality. -5(a + 3) = -55 What is the value of a? a 8 b -14 c 14 d -8
Answer:
It's C. 8
I took the edge test.
Answer:
C. 8
Step-by-step explanation:
Edge 2021
What is the distance between the point (-25, 10) and the origin?
Answer:
35
Step-by-step explanation:
The origin is (0,0). To get to it from (-25,10) you would add 25 which would get you to (0,10,). Then you subtract 10 to get you to the origin. 10+25=35
Also this one pls help
Answer:
Option 3
Step-by-step explanation:
Answer:
From my understanding the answer is supposed to be 6.. but since that's not an option I think it's option 4.
Step-by-step explanation:
please help me and please help me do it in a way i could understand :) ty
Suppose you purchase a $500 bond with a 6.5% coupon. What is the periodic
interest rate of this bond?
O A. 6.5%
O B. 0.5%
O C. 3.25%
O D. 1.5%
Answer:
C. 3.25
Step-by-step explanation:
A was wrong I seen the real answer which was C
Need help ASAP! 35 points
Answer:
[tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]
Step-by-step explanation:
Since [tex]\sqrt[3]{x^5} = x^\frac{5}{3}[/tex], the solution is [tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]
Step-by-step explanation:
Step 1: Find the equivalent expression
[tex]\sqrt[3]{x^5y}[/tex]
[tex]\sqrt[3]{x^5} * \sqrt[3]{y}[/tex]
[tex]x^\frac{5}{3}*y^\frac{1}{3}[/tex]
[tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]
Answer: Option B
Solve for x and y in the given the 45° - 45° - 90° triangle shown above. When applicable, simplify all radicals and show your work.
Answer:
x = 5.6 i guess
Step-by-step explanation:
use cos 45 = x/8
maybe
Point O is on line RS. Find the
measure of angle SOP.
Solution:
Answer:
104°
Step-by-step explanation:
a straight line is 180°, so subtract angle ROP(76°) from it to get angle SOP
When preparing for Geometry class, Matt labeled a right triangle. Matt’s teacher told him that he made some mistakes. What is one mistake that matt made ?
Answer:
Vertices (or angles) are labeled with Capital letters
Step-by-step explanation:
Angles are labeled with Capital letters.
The sides themselves can be labeled with lowercase letters, but the vertices of the triangles must be labeled with Capital letters
When 240 sixth grade students were polled results showed that 96 students were dissatisfied with the music played at the school dance what percentage of sixth grade students does this represent
(use at least 2 strategies)
(Ratios and Proportional Relationships Percents)
Answer: 40%
Step-by-step explanation:
Total students= 240
Dissatisfied students= 96
To get the percentage of sixth grade students that were dissatisfied with the music played in the school, we divide 96 by 240 and multiply the result by 100. This can be written as:
= 96/240 × 100
= 0.4 × 100
= 40%
The percentage represented is 40%
a 20 in tall hexagonal pyramid has a regular hexagon base that can be divide into six equilateral triangles with side lengths of 12 in, as shown below find the area of the hexagon base rounded to the nearest hundredth
Answer:
c
Step-by-step explanation:
The area of hexagon base of hexagonal pyramid is option (A) 374.12 square inches.
What is a hexagonal pyramid?
A pyramid with a hexagonal base upon which are erected six isosceles triangular faces that meet at a point. All sides are equal, the angles between the sides are 120 degrees.
For the given situation,
The base of the hexagon, a = 12 in
The formula of the area of hexagon base is
[tex]A=\frac{3\sqrt{3}(a)^{2} }{2}[/tex]
On substituting the above values,
⇒ [tex]A=\frac{3\sqrt{3}(12)^{2} }{2}[/tex]
⇒ [tex]A=\frac{3\sqrt{3}(144 )}{2}[/tex]
⇒ [tex]A=374.12[/tex]
Hence we can conclude that the area of hexagon base of hexagonal pyramid is option (A) 374.12 square inches.
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6. The area of a rectangular painting is given by the trinomial x2 + 2x - 15. What are the possible (1 point)
dimensions of the painting? Use factoring,
Answer:
(x+5)(x-3) = x^2+2x-15
Step-by-step explanation:
since there is a -15 at the end and a +2x in the center, you want two factors of 15 which differ by 2. Those are 5 and 3. Now, you want one + and one -, so +5-3 = +2
Which of the following is a complex number?
Answer:
The correct answer is B.