The picture frames shown are both squares. The area of the smaller frame is 1/4 the area of the larger frame. Find the side length of the larger frame.
Answers
side of smaller frame =
[tex] \sqrt{9 } = 3in[/tex]
side of larger frame
[tex] = \sqrt{36} = 6in[/tex]
The side length of the larger frame will be 12 inches.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.
Given that the area of the smaller frame is 36 square inches and the area of the smaller frame is 1/4 times the area of the larger frame.
The area of the larger frame will be calculated as:-
1/ 4 x Area of larger frame = Area of the smaller frame
Area of the larger frame = 36 x 4
Area of the larger frame = 144 square inches
a² = 144
a = √144
a = 12 inches
Therefore, the length of the larger frame is 12 inches.
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Related Questions
what is the equation to (-3,1) and (0,-8)
Answers
Divide -9 by 3 to get -3 using the rise over run slope formula.
The equation is y = -8 + -3x because the -8 in the second set of coordinates is the y-intercept of the equation.
Hope this helps!
A class voted for either rollerblading, swimming, or biking as their favorite summer activity. If rollerblading got 4% percent of the vote and biking got 34% what percentage of the class voted for swimming?
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The variability at each feeder is 3.168. The difference between the median number of hummingbirds spotted per day at each feeder is approximately how many times the variability? a.4 b.5 c.2 d.2
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Answer:
no its 3
Step-by-step explanation:
7x+39≥53 AND 16x+15>31
Answers
Answer: x \> 2
Just look in the photo
I need to know the surface area of this shape
Answers
Front triangle area (A = (1/2)bh)
.. = (1/2)(16 m)*(25 m) = 200 m^2
Right side triangle
.. = (1/2)(22 m)*(24 m) = 264 m^2
Base (A = lw)
.. = (16 m)*(22 m) = 352 m^2
Total area
.. 2*front triangle +2*side triangle +base
.. = 2*200 m^2 +2*264 m^2 +352 m^2
.. = 1280 m^2
Please help! The choices for the first box is right/left, right, or left. The choices for the second box is up/down, up, or down..
Answers
Hope this helps! :)
Please help with this roblem
Answers
answer
2.5
1. Susan’s art class is 9 hours long. How long is her class in minutes?
2. Frank drinks 1 1/2 pints of milk a day. How much is this in cups? Write your answer as a whole number or a mixed number or a mixed number in simplest form.
3. A cook needs 4 cups of vegetable broth for a soup recipe. How much is this in pints.
4. Last month, a coral reef grew 9000 millimeters taller. How much did it grow in meters?
Answers
2. There is 0.5 pints = 1 cup, so three cups. :)
3. 4(2) = 8 pints.
4. 1,00 millimeters = 1 meter, so 9 meters.
Hope it helps! :)
Susan's art class is 540 minutes long. Frank drinks 3 cups of milk a day. The cook needs 2 pints of vegetable broth for their recipe. The coral reef grew 9 meters taller.
To solve these measurement conversion problems, we'll work through each one step by step:
Susan's art class is 9 hours long. Since there are 60 minutes in an hour, her class is 9 hours × 60 minutes/hour = 540 minutes long.To convert Frank's milk consumption from pints to cups, we use the fact that 1 pint is equal to 2 cups. So, 1 ¹/₂ pints is the same as 1.5 × 2 cups, which equals 3 cups.When converting the 4 cups of vegetable broth to pints, we remember that 2 cups is equivalent to 1 pint. Therefore, 4 cups is equal to 2 pints.The coral reef grew by 9000 millimeters. To find this growth in meters, we use the conversion that 1000 millimeters is equal to 1 meter. Therefore, it grew by 9000 mm × (1 m / 1000 mm) = 9 meters.How do you do this simultaneous equation?
Answers
-x - 5 = 2x + 4 Add x to both sides
- 5 = 3x + 4 Subtract 4 from both sides.
- 9 = 3x Divide by 3
x = -9 / 3
x = - 3
y = - x - 5
y = -(-3) - 5
y = - 2
So that point is where the two equations meet.
To see the graph of your question on the internet, go to
Wolframalpha.com
and put this string in the question space.
y = -x - 5; y = 2x + 4 Note the semi colon in the middle.
To the moderator: This is my own work. I'm using Wolfram to get the answer.
Select all of the angles that have the same measure as angle 1. Assume the lines are parallel.
Answers
Please help me!!!!!!!!!!!!!!!!
What is the constant of proportionality?
What would the equation look like?
Answers
In this case 7 would be your constant of proportionality
what is the comon denominator of 3/8 and 1/3 as fractions for both
Answers
its 12
unit price—- a long distance phone charge of $1.40 for 10 minutes, or $4.50 for 45 minutes —- show work^
Answers
To find the best long-distance phone charge, the unit prices for both options are calculated. The $1.40 charge for 10 minutes has a unit price of $0.14 per minute, while the $4.50 charge for 45 minutes is $0.10 per minute. Hence, the $4.50 option is better.
Explanation:To determine the better long-distance phone charge, we can calculate the unit price for each option by dividing the total cost by the number of minutes.
For the $1.40 charge for 10 minutes:Unit Price = Total Cost / Total Minutes
Unit Price = $1.40 / 10 minutes = $0.14 per minuteFor the $4.50 charge for 45 minutes:
Unit Price = Total Cost / Total Minutes
Unit Price = $4.50 / 45 minutes = $0.10 per minute
Comparing the two unit prices, the charge of $0.10 per minute for 45 minutes is the better option since the cost per minute is lower.
a recipe calls for 4 tsp of baking soda and 1 fl. oz. of vanilla. Which measurement is greater? Explain.
Answers
What is the value of fraction 1 over 3x2 + 5.2y when x = 3 and y = 2?
Answers
The value is 5/187 ≈ 0.0267379679
the length of a rectangle is 8 feet more than its width the area of the rectangle is 84 square feet find its length and width.
Answers
x²+8x=84
-84. -84
x²+8x-84=0
(x+14)(x-6)=0
x+14=0 x-6=0
x=-14 x=6
^reject the -14 because you can't have a negative measurement
The width is 6 feet and the length is 14 feet (6+8=14)
Answer:
breath = 6ft
length = 14ft
Step-by-step explanation:
Area of a rectangle = length x breath
Area = 84ft²
Since length is 8feet more than breath.
Let assume a breath is y.
i.e
breath = y
length = y + 8
Area = 84
84 = y * (y+8)
84 = y² + 8y
y² + 8y - 84 = 0
quadratic equation
y ( y - 6 ) + 14 ( y - 6 )
(y + 14 )( y - 6 )
So to find y
y + 14 = 0
y = -14
Or
y - 6 = 0
y = 6
We will you the positive value of y, because we can not have a negative value for measurements ( length or breath)
Therefore
breath = y
breath = 6ft
length = y + 8
length = 6 + 8 = 14ft
Big Reward! (Answer the right answer not just comment).
2(5x-4)=ax+b
Find a value for a and b so that the solution is
A. Has one solution
B. Has no solutions.
C. Infinite Solutions
Answers
B: Has no solution- a=10 b=5
C: Infinite solution- a=10 b=-8
Answer:
A. a = 0, b = 2
B. a = 10, b = 0
C. a = 10, b = -8
Step-by-step explanation:
2(5x-4)=ax+b
10x - 8 = ax + b
When a = 10, b = -8
This equation becomes true for all x. Hence infinite solutions.
When a = 10, b is not -8,
This equation has no solution.
One possible combination could be:
a = 10, b = 0
When a is not 10,
The two sides of the equation become two non parallel lines which will intersect at one point.
A combination could be:
a = 0, b = 2
How can you use the distributive property to find the product of 5 and 6723?
Answers
use the distributive property to rewrite 30d+18
Answers
30d+18 is also the same as 6(5d+3)
The table shows the fraction of a book karen read saturday and sunday.What fraction of her book did she read on these two days?
Answers
what is 81% as a fraction in its simplest form
Answers
If a cube shaped box has a volume of 1331 cubic inches how tall is the box.
Answers
Answer: Cube is 11 inches tall
Explanation:
Cube has all edges the same length . The volume of a cube is multiplying the length of any edge, height and width of the cube.
Volume of cube = length * width * height
We know that length = width = height = s
So, Volume of cube = s*s*s
= s³
In given question:
Volume of the cube = 1331 cu in.
s³ = 1331
take cube root both the side
s = ∛1331
s = ∛(11*11*11)
s = 11 inch
So, height of the cube = 11 inches
One jug of plant food treats an area of 135 square ft. How many jugs Would be needed to treat an area of 165 square yards (try writing equation)
Answers
To treat an area of 165 square yards, you would need 11 jugs of plant food.
Explanation:To find out how many jugs would be needed to treat an area of 165 square yards, we need to convert the area to square feet and then divide by the area treated by one jug of plant food.
1 square yard = 9 square feet, so 165 square yards = 165 × 9 = 1485 square feet.
Now, since one jug treats an area of 135 square feet, the number of jugs needed is 1485 ÷ 135 = 11 jugs.
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This circle graph shows the results of a survey that asked people to identify their favorite type of music.
What percent of people chose rock or country as their favorite type of music?
9%
35%
45%
55%
Answers
C. 45
45% of people chose country or rock music
27%+ 18% =45%
Miguel is driving his motor boat across the river. The speed of the boat in Still water is 14 mi/h. The river flows directly south at 2 mi/h. If Miguel heads directly west, what are the boats resultant speed and direction? Diagram is not drawn to scale.
Answers
The resultant speed of the boar is v, and its direction is θ degrees south of west.
Use the Pythagorean Theorem to calculate v.
v² = 14² + 2² = 200
v = √(200) = 14.1 mi/h
By definition,
tan θ = 2/14 = 0.1429
θ = tan⁻¹ 0.1429 = 8°
Answer: 14.1 mi/h; 8° south of west.
Gracie has 1/2 of a cantaloupe that she wants to divide. How many 1/12’s of a cantaloupe are there in 1/2 of a cantaloupe?
Answers
Divide bottoms or denominators
12 and 2
and you can get 6
how many decimal places are in the product of 185.9 and 0.35?? with diagram or work
Answers
A fabric store sells two types of ribbon. One customer buys 3 rolls of the satin ribbon and had a total of 120 yards of ribbon. Another customer buys 2 rolls of lace ribbon and 4 rolls of the satin ribbon and has a total of 160 yards of ribbon. How many yards are on one rolls and one roll of satin ribbon?
Answers
Since 3 rolls of the satin ribbon are 120 yards, [tex]3x=120[/tex]. We can solve the equation to get the yards in one satin ribbon roll like follows:
[tex]3x=120[/tex]
[tex]x= \frac{120}{3} [/tex]
[tex]x=40[/tex]
Now that we know the yards in one roll of satin ribbon, lets find the yards in the lace ribbon one:
Since 2 rolls of lace ribbon and 4 rolls of the satin ribbon are 160 yards, [tex]2x+4y=160[/tex]. But remember that we already know the value of [tex]x[/tex] is 40, so lets replace that in our equation and solve for [tex]y[/tex] to get the yards in one roll of lace ribbon:
[tex]2x+4y=160[/tex]
[tex]2(40)+4y=160[/tex]
[tex]80+4y=160[/tex]
[tex]4y=160-80[/tex]
[tex]4y=80[/tex]
[tex]y= \frac{80}{4} [/tex]
[tex]y=20[/tex]
We can conclude that there are 40 yards in the roll of satin ribbon, and 20 yards in the roll of lace ribbon.
Answer:
d.there are 20 yards on one roll of lace ribbon and 30 yards on a roll of satin
Step-by-step explanation:
What is the correct way to classify a triangle with angles that measure 20 , 40 and 120
Answers
Determine the circumference of a circle with a radius of 4 units.
16 units
8 units
32 units
4 units
Answers
Final answer:
The circumference of a circle with a radius of 4 units can be calculated using the formula C = 2πr, which equals approximately 25.13 units when using π as 3.14159.
Explanation:
To determine the circumference of a circle with a radius of 4 units, we need to use the circumference formula:
C = 2πr
Where C represents the circumference, π (pi) is approximately 3.14159, and r is the radius of the circle.
π is a special mathematical constant that represents the ratio of the circumference of any circle to its diameter, and for most practical calculations, it can be approximated as 3.14. Therefore, plugging the radius (4 units) into the formula we get:
C = 2 x 3.14159 x 4
C = 8 x 3.14159
C = 25.13272 units
We can round this answer to two decimal places for simplicity, obtaining:
C = 25.13 units
So, the circumference of a circle with a radius of 4 units is approximately 25.13 units.
The circumference of a circle with a radius of 4 units is approximately 25.12 units.
Explanation:The circumference of a circle can be found using the formula C = 2πr, where C is the circumference and r is the radius. In this case, the radius is given as 4 units, so we can substitute that value into the formula to find the circumference.
C = 2π(4) = 8π units.
Since π is approximately 3.14, we can approximate the circumference as:
C ≈ 8 x 3.14 = 25.12 units.
Therefore, the circumference of the circle with a radius of 4 units is approximately 25.12 units.