the sides of a rectangle are the ratio 2:5. (for every 2cm of the width, the length is 5cm) the perimeter of the rectangle is 70cm. what is the with of thr rectangle?
Ronnie, Mack, Kim, and Ada together stacked a total of 40 pizzas in a pan. Ronnie stacked 0.25 of the pizzas, Mack stacked 9 of the 40 pizzas, Kim stacked 35% of the pizzas, and Ada stacked the remaining pizzas. Who stacked the most pizzas?
Answer:
Kim stacked the most pizzas since she stacked 14 of them.
Step-by-step explanation:
If a ship sailed due south from Iceland to Antarctica, it would sail through an angel of rotation of about 140° around Earths center. Find this measure in radians. Then , using 3960 miles for earth radius, find how far the ship would travel.
To convert the angle in degrees to radians, multiply the angle by π and divide by 180. The ship would travel approximately 3081.23 miles.
Explanation:To find the measure in radians, we need to convert the given angle from degrees to radians. There are 2π radians in a full circle, which is equal to 360°. Therefore, to convert 140° to radians, we can use the formula: radians = (degrees × π) / 180. Substituting the given angle, we get: radians = (140 × π) / 180 = (7π / 9) radians.
Next, to find how far the ship would travel, we need to calculate the arc length. The formula for the arc length of a circle is: arc length = radius × angle in radians. Given that the radius of Earth is 3960 miles and the angle of rotation is (7π / 9) radians, we can calculate the arc length as follows: arc length = 3960 × (7π / 9) ≈ 3081.23 miles.
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Henry usually has about $300 in his account at any given time during the month. He limits his ATM visits to one per week and is interested in banking online options. Bank X and Bank Z have 5 ATMs within a 5 mile radius of Henry’s work and his new home. Which bank should he choose? a. Bank X b. Bank Y c. Bank Z d. Bank X and Z
At noon a tree cast a shadow that is 40' long the distance from the top of the tree to the 1st tip of the shadow is 60' what is the height of the tree round to the nearest 100th
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Susan is drawing a triangle. The first segment she draws is 6 centimeters in length, and the second segment is 8 centimeters long. The measure of the angle between those two segments is 80°. Which best describes the length of the third segment?
A) equal to 14 centimeters
B) less than 14 centimeters
C) greater than 14 centimeters
D) greater than or equal to 14 centimeters
Answer:
The answer is B) less than 14 centimeters
Step-by-step explanation:
mr.kiniston jogged how many miles
Bethany, Lauren, Amanda, and David all meet at a family reunion. They are comparing their ages. They have found that Lauren is 13 years older than Bethany and David is 11 years older than Amanda. They also found that the product of Bethany's and Lauren's ages is equal to twice Amanda's age. Also, if they subtract 20 years from both Bethany's and Lauren's age, the product is equal to David's age.
Determine the simple interest. the rate is an annual rate. Assume 360 days in a year. p= $460 r= 2.75% t= 3.25 years
The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct? Explain your reason by describing both forms.
Sample Response: Both are correct. Using either form will result in the same equation. The slope-intercept form uses slope and a point to find the y-intercept. Point-slope form uses the slope and a point to solve for y to generate the equation.
find the height of each pyramid hexagonal pyramid: volume 1320 ft cubed area of the base 120 ft squared
Answer:
oiuy
Step-by-step explanation:
2498
Suppose that x is normally distributed with a mean of 10 and a standard deviation of 3. find p(x ≤ 6). note: round your answer, if necessary, to two places after the decimal. please express your answer with two places after the decimal.
what is the area of a regular hexagon with a radius of 14 inches
The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object? 4.9 9.8 10.2 19.6
Final answer:
The acceleration due to gravity on Earth is approximately 9.80 m/s² and is symbolized as g, which represents a constant rate of acceleration for free-falling objects in the absence of air resistance.
Explanation:
The acceleration due to gravity is a constant that plays a fundamental role in physics, particularly when discussing free-fall motion. On Earth, the acceleration due to gravity of a falling object, when air resistance is negligible, is approximately 9.80 m/s². This value, denoted by the symbol g, is used to calculate various parameters in the kinematic equations of motion for an object subject only to the force of gravity.
write the expression in complete factored form q^2(p+1)+3(p+1)
How much longer is a 1 inch button that 3/8 inch button
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total 21499
. The variable costs will be $12
per book. The publisher will sell the finished product to bookstores at a price of 22.75
per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
URGENT algebra 2 B
Write an equation that expresses the grips weight of an aircraft as a function of its landing speed !
Joint-Serve Prosthetics spends 43% of its total expenses for payroll. It increased its total expenses when it spent $250,000 for robotic assemblers. This changed the allocation for payroll to 38% of total expenses. What were its total expenses after purchasing the robotic assemblers? Hint: First find the total expense before the purchase of robotic assemblers.
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Write the trinomial as a square of a binomial or as an expression opposite to a square of a binomial:
a. 4cd –25c^2–0.16d^2
b. –0.49x^2–1.4xy –y^2
The value of equation A = - ( 5c - 0.4d )²
The value of equation B = - ( 0.7x + y )²
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be represented as A
Now , the value of A is
A = 4cd - 25c² - 0.16d² be equation (1)
On simplifying the equation , we get
A = - ( 25c² - 4cd + 0.16d² )
On factorizing the equation , we get
A = - ( 5c - 0.4d )²
Therefore , the value of A is - ( 5c - 0.4d )²
Let the second equation be represented as B
Now , the value of B is
B = -0.49x² - 1.4xy - y² be equation (1)
On simplifying the equation , we get
B = - ( 0.49x² + 1.4xy + y² )
On factorizing the equation , we get
B = - ( 0.7x + y )²
Therefore , the value of B is - ( 0.7x + y )²
Hence , the equations are solved
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2 1/4 was subtracted twice from a number; then 1/8 was subtracted three times and 2/3 was subtracted twice. The resulting number is 3 11/24 . Find the number
Answer:
9 2/3
Step-by-step explanation:
A circle has a circumference of 361π. What is the diameter of the circle?
The formula to find circumference of circle is given by
[tex] C = 2\pi r [/tex]
Where r is radius of circle and pi =3.14
We are given Circumference here as 361π
Plugging the value in the formula :
[tex] 361\pi = 2\pi r [/tex]
r=361/2 = 180.5
radius of circle is 180.5.
We know that Diameter is double of radius.
So diameter = 2*180.5 = 361
Answer : diameter of circle is 361.
A scatter plot is shown. Data points are located at 1 and 9, 3 and 5, 5 and 6, 4 and 4, 2 and 7, and 6 and 4. A line of best fit crosses the y-axis at 10 and passes through the point 6 and 4. How many hours will Sherwin most likely sleep if he consumes 9 cups of coffee? 1, because y = −x + 10 2, because y = −x + 10 9, because y = −x + 10 10, because y = −x + 10
Answer:
if he consume 9 cups of coffee, Sherwin will most likely sleep 1 hour.
1, because y = -x + 10
What is the volume of the cone show your work
25 if answered please help
Find the area of a sector with a central angle of 2pi/15 and a radius of 18.8 m
Answer:
74.02 square meters.
Step-by-step explanation:
We are asked to find the area of sector of circle, whose central angle is [tex]\frac{2\pi}{15}[/tex].
We will use area of sector formula to solve our given problem.
[tex]\text{Area of sector}=\frac{\theta}{2\pi}\times \pi r^2[/tex], where, r represents radius of circle.
Upon substituting our given values in above formula, we will get:
[tex]\text{Area of sector}=\frac{\frac{2\pi}{15}}{2\pi}\times \pi (18.8)^2[/tex]
Using fraction rule [tex]\frac{\frac{a}{b}}{c}=\frac{a}{bc}[/tex], we will get:
[tex]\text{Area of sector}=\frac{2\pi}{15\times 2\pi}\times \pi (18.8)^2[/tex]
[tex]\text{Area of sector}=\frac{1}{15}\times \pi \times 353.44[/tex]
[tex]\text{Area of sector}=23.5626666\times \pi[/tex]
[tex]\text{Area of sector}=74.0243004\approx 74.02[/tex]
Therefore, the area of given sector of circle is 74.02 square meters.
There are 19.6.grams of protein in 4 ounces of cashews. About how many gram of protein are in one ounce of cashews?
Final answer:
To find the protein content in one ounce of cashews, divide 19.6 grams by 4 ounces, resulting in approximately 4.9 grams of protein per ounce.
Explanation:
To find out how many grams of protein are in one ounce of cashews, we need to divide the total amount of protein by the number of ounces. Given that there are 19.6 grams of protein in 4 ounces of cashews, we can calculate the amount of protein in one ounce by performing the following calculation:
Amount of protein in one ounce = Total grams of protein / Number of ounces
Amount of protein in one ounce = 19.6 grams / 4 ounces
Amount of protein in one ounce = 4.9 grams
Therefore, there are approximately 4.9 grams of protein in one ounce of cashews.
what is the circumternence
Assuming that a sample (n = 504) has a sample standard deviation of 2.26, what is the upper bound of a 95% confidence interval if the sample mean is 2.96?
The upper bound of a 95% confidence interval if the sample mean is 2.96 is 3.16.and this can be determined by using the formula of standard error and margin of error.
Given :
Assuming that a sample (n = 504) has a sample standard deviation of 2.26.95% confidence interval.The sample mean is 2.96.First, evaluate the standard error by using the below formula:
[tex]\rm SE = \dfrac{\sigma}{\sqrt{n} }[/tex]
Now, put the values of n and [tex]\sigma[/tex] in the above equation in order to determine the standard error.
[tex]\rm SE = \dfrac{2.26}{\sqrt{506} }[/tex]
SE = 0.10
In order to determine the margin of error multiplies the standard error by 2.
ME = 0.1 [tex]\times[/tex] 2
ME = 0.20
Now, add the margin of error and the sample mean in order to evaluate the upper bound.
= 2.96 + 0.20b
= 3.16
The upper bound of a 95% confidence interval if the sample mean is 2.96 is 3.16.
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