Final answer:
The side length of a square with the same perimeter as an equilateral triangle with side 7 cm is 5.25 cm.
Explanation:
To find the side length of a square with the same perimeter as an equilateral triangle with sides of 7 cm, first calculate the perimeter of the triangle, which is 7 cm x 3 = 21 cm. Since a square has four equal sides, divide the perimeter by 4 to get the side length of the square. Thus, the side length would be 21 cm ÷ 4 = 5.25 cm.
Thomas paid $5 for a multicolor file folders. There were 100 folders in the box .what was the cost of each folder?
The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 3 cm/s. when the length is 20 cm and the width is 10cm, how fast is the area of the rectangle increasing
write in graphing form please! A parabola that opens down with no stretch factor that has a vertex of (-6,5)
A restaurant charges an automatic gratuity of 18% on tables with more than 6 people. A party of 8 had a bill of p. Which expression can be used to find the total cost of the meal with the gratuity?
Answer: the answer is 1.18p
Step-by-step explanation:
It is trust me (;
The exchange rate is £1 = €1.12 how many £ would I get for €336
A right triangle has one angle that mesures 23. The adjacent leg measures 27.6 cm and the hypotenuse measures 30cm.
What is the approximate area of triangle? Round to the nearest tenth
Area of the triangle =1/2bh
A:68.7cm^2
B.161.7cm^2
c.381.3cm^2
D450.cm^2
Solve for x: −3 |x + 7| = −12
Sandy bought a soft drink for 2 dollars and 6 candy bars. she spent a total of 20 dollars. how much did each candy bar cost
A warehouse is packing materials to ship out to a customer. A small box has the dimensions of x inches, (x+ 2) inches and (2x) inches. Where x is the length in inches of width. A large box has the dimensions of (x+5) inches, (x + 7) inches and (3x) inches.
*Recall that Volume = (Length)(Width)(Height)
Part 1: Write an expression that represents the dimensions of the small box.
Part 2: Write an expression that represents the dimensions of the large box.
Part 3: What is the difference in the volumes of the two boxes? Show or explain or work.
1. The expression that represents the dimensions of the small box is (2x³ + 4x²).
2. The expression that represents the dimensions of the large box is (3x³ + 36x² + 105x).
3. The difference in the volumes of the two boxes is (x³ + 32x² + 105x)
What is the volume of the box?1.
Small box:
x inches,
(x+ 2) inches and
(2x) inches
Volume = length × width × height
= x × (x + 2) × (2x)
= (x² + 2x) × 2x
= 2x³ + 4x²
2.
Large box:
(x+5) inches,
(x + 7) inches and
(3x) inches.
Volume = length × width × height
= (x + 5) × (x + 7) × (3x)
= 3x³ + 36x² + 105x
4.
Difference in volume = Large box - Small box
= (3x³ + 36x² + 105x) - (2x³ + 4x²)
= 3x³ + 36x² + 105x - 2x³ - 4x²
= x³ + 32x² + 105x
Therefore, x³ + 32x² + 105x is the expression which represents the volume of the box.
Read more on volume of a box:
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PLEASE HELP!!! Will give brainliest!
Find the angular velocity of a wheel that makes 30 revolutions in 10 seconds.
1.5π rad/sec
3π rad/sec
6π rad/sec
The angular velocity of the wheel is 6π rad/sec.
What is angular velocity?Angular velocity is the speed at which the angle between two bodies changes as an item rotates or revolves around an axis.
In one revolution,
The angular velocity is 2π rad/sec.
In 30 revolutions,
The angular velocity is 2π x 30 rad/ 10sec.
The angular velocity is 60π rad/sec.
The SI unit of angular velocity is radians per second.
Hence, The wheel's angular velocity is 6 rad/sec.
To learn more about the angular velocity:
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Consider the equation 2x-3(2x-1)=3-4x. solve the equation for x. for each step, identity the property used to write an equivalent equation.
What is the square root of 53 rounded to the nearest hundreth
A rectangular prism has a length of 3/4 cubic inch and a width of 1/2 inch. The volume is 21/32 cubic inch. Find the height of the prism. Write your answer as a mixed number in simplest form.
Answer:
[tex]\texttt{Height of the prism}=1\frac{3}{4}[/tex]
Step-by-step explanation:
Volume of rectangular prism = Length x Width x Height
[tex]\texttt{Volume of rectangular prism =}\frac{21}{32}\\\\\texttt{Length =}\frac{3}{4}\\\\\texttt{Breadth =}\frac{1}{2}[/tex]
Substituting
[tex]\frac{21}{32}=\frac{3}{4}\times \frac{1}{2}\times h\\\\h=\frac{7}{4}=\frac{4+3}{4}=1\frac{3}{4}[/tex]
[tex]\texttt{Height of the prism}=1\frac{3}{4}[/tex]
Leena knits 10 rows in 12 min. At this pace, how long will it take her to knit the next 25 rows? Enter your answer in the box. min
A bouncing ball reaches a height of 27 feet at its first peak, 18 feet at its second peak, and 12 feet at its third peak. Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak.
Billie and Toni are driving from Chicago to Phoenix. The first day they drove 420 miles. They want to drive at 65 miles per hour for the rest of their trip. a. Write an algebraic expression to represent the situation. b. If they drive 8 hours a day for the next two days, how far have they traveled by the end of the third day?
A. We are given that they already drove 420 miles and an additional of 65 miles per hour. Therefore distance covered is:
d = 420 + 65 t
where d is distance and t is time
B. If they drove 8 hours per day for 2 days, then total time is t = 16 hours, hence:
d = 420 + 65 * 16
d = 1460 miles
Square tiles 9-inches on a side cover the floor of a rectangular room exactly. the border tiles are white and all other tiles are blue. the room measures 18 feet by 15 feet. how many tiles are white
Kevin picked 13 more apples than Andy. if Kevin picked 30 apples, how many did Andy pick ? Let A= the apples sandy picked
stella writes 1/7 of a page in 1/5 of a minute. how many minutes doesn’t it take her to write a full page?
It takes Stella 1.4 minutes to write a full page, calculated by setting up a proportion based on her rate of writing [tex]\frac{1}{7}[/tex] of a page in 1/5 of a minute.
Stella writes [tex]\frac{1}{7}[/tex] of a page in [tex]\frac{1}{5}[/tex] of a minute. To calculate how many minutes it takes her to write a full page, we can set up a proportion. Since 7/7 would make a full page, we'd need Stella to write seven times as much as she does in 1/5 of a minute. So, the math to find the time for a full page looks like this:
[tex]\frac{1}{7}[/tex] page : [tex]\frac{1}{5}[/tex] minute = 7/7 page : x minutes
Now multiply both sides by (1/5) minutes to isolate x:
[tex]\frac{1}{7}[/tex] / [tex]\frac{1}{5}[/tex] = 1/x
Cross multiply to solve for x:
[tex]\frac{1}{7}[/tex] * x = [tex]\frac{1}{5}[/tex]
x = [tex]\frac{1}{5}[/tex] / [tex]\frac{1}{7}[/tex]
x = [tex]\frac{1}{5}[/tex] * (7/1)
x = 7/5 minutes
x = 1.4 minutes
Therefore, it takes Stella 1.4 minutes to write a full page.
Find f(x) and g(x) so that the function can be described as y = f(g(x)).
y = eight divided by x squared + 2
Steven wants to buy a $500 bicycle. Steven has no money saved, but will be able to deposit $45 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $85 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike?
If EG=25 and point F is 2/5 of the way between E and G, find the value FG. The drawing is not to scale.
a. 12.5
b. 10
c. 20
d. 15
d. 7
What is the best approximation for the measure of angle ABC?
When matter changes state, what two things are always conserved?
In a change of state, mass and energy are the two things that are always conserved, in accordance with the law of conservation of matter and the first law of thermodynamics, respectively.
When matter changes state, the two things that are always conserved are mass and energy. This is explained by the law of conservation of matter, which states that the total mass of the products must equal the total mass of the reactants in a chemical reaction, and the law of conservation of energy, often referred to as the first law of thermodynamics.
In any given closed system, neither mass nor energy is created or destroyed, but can be transformed from one form to another. For example, when a substance burns, its matter is not lost but is instead transformed into other substances with the same total mass. Likewise, energy can be moved or transformed, but the total amount of energy remains constant. These principles apply to both living and non-living systems, keeping the total quantity of matter and energy fixed in the universe.
Se implicit differentiation to find an equation of the tangent line to the curve at the given point.7x2 + xy + 7y2 = 15, (1, 1) (ellipse)
One number is 4 less than a second number. twice the second number is 19 less than 5 times the first. find the two numbers.
What is 334.54 + 198 grams
What is the slope of this graph?
1) Which statement about 5y = 2x is true?
A) The equation represents a direction variation whose consent of variations is 5/2.
B) The equation represents a direct variation whose consent of variations is 2/5.
C) The equation does not represent a direction variation.
D) The equation does not represent a line through the origin.
2) What is the equation of the graph of y = |x| shifted 3 units up?
A) y = |x| – 3
B) y = |x| + 3
C) y = |x + 3|
D) y = |x – 3|
3) Two parallel lines form an inconsistent system of equations that has no solution.
True
or
False
Answer all and Show or Explain your answer :)