Answer:
The answer is 192.78 inches
Step-by-step explanation:
An oval is formed by a rectangle with semicircles at each end. We can visualize this easily.
The length of the rectangle is 54 inches.
The width of the rectangle is 27 inches.
The perimeter of rectangle is = [tex]2(L+W)[/tex]
= [tex]2(54+27)[/tex]
= 162 inches
And because there are two semicircles, we can combine them to form a circle. So, perimeter of a circle is called a circumference.
The width of the rectangle forms the diameter, so its half will be the radius.
r = [tex]\frac{27}{2}=13.5[/tex]
The circumference is given by : [tex]2\pi r[/tex]
= [tex]2\times3.14\times13.5=84.78[/tex] inches
Now as the described oval shape is a complete figure without lines inside, we will subtract the width of both sides of the rectangle from the complete perimeter.
The complete perimeter is = [tex]162+84.78=246.78[/tex] inches
The inner edge perimeter will be = [tex]246.68-2(27)[/tex] = 192.78 inches
HURRY PLZ!!!!!!!!!!!The cafeteria uses rectangular trays with a raised edge around them. The area of the flat surface of each tray is 228 and its length is 19 inches. What is the perimeter of the tray, where the raised edge is? To find the width, use the formula , where w represents the width, A represents the area and l represents the length. To determine the perimeter, use the formula , where P represents the perimeter, l represents the length, and w represents the width
Answer:
62 inches
Step-by-step explanation:
plz mark brainliest
ASAP pleaseeeeee!!!!!!
Triangle cde maps to triangle lmn with the transformation (x,y) —> (x+3,y-2) —> (2/3x, 2/3y)
Of cd =9 what is lm?
The value of LM = 6.
Let's break down the given transformations for each point:
1. Original point: [tex]\( (x, y) \)[/tex]
2. First transformation: [tex]\( (x+3, y-2) \)[/tex]
3. Second transformation: [tex]\( \left(\frac{2}{3}(x+3)[/tex], [tex]\frac{2}{3}(y-2)\right) \)[/tex]
Now, if CD = 9 in the original triangle, LM can be found using the scale factor of [tex]\( \frac{2}{3} \)[/tex], as the second transformation involves scaling by [tex]\( \frac{2}{3} \)[/tex].
[tex]\[ LM = \frac{2}{3} \times CD \]\\LM = \frac{2}{3} \times 9 \]\\LM = 6 \][/tex]
Therefore, LM = 6.
William invested $7000 in an account that earns 4.5% interest, compounded annually. The formula for compound interest is A(t) = P(1 + i)t. How much did William have in the account after 3 years? A. $21,340.38 B. $7988.16 C. $7094.93 D. $7945
Answer:
7988.16
Step-by-step explanation:
This is a matter of plugging in numbers.
P = 7000 (starting value)
l = 0.045 (rate)
t = 3 (number of years)
A(t) = 7000(1 + 0.045)^3
A(t) = 7000(1.045)^3
After three years, William will have 7988.16
The amount in William's account after 3 years with compound interest will be $7,988.16. Hence the correct option is B.
The compounded interest formula is:
A(t) = P(1 + i)^t
where P is the principal amount ($7000), i is the interest rate (4.5% or 0.045), and t is the time in years (3).
Calculate the total amount:
A(3) = 7000(1 + 0.045)^3
A(3) = 7000(1.045)^3
A(3) = 7000 * 1.144976125
A(3) = $7,988.16
Eight times the sum of a number and one is -8
what is greater 3 x 1/10 plus 4 x 1/100 plus 8x 1/1000 greater than one and two tenths
3*0.1 + 4*0.01 + 8*0.001 ? 1.2
Multiply:
0.3 + 0.04 + 0.008 ? 1.2
0.348 < 1.2
One and two tenths is larger
Can someone help me find the volume
how many cube shaped boxes with 12-inch edges can fit into a box that is 4 feet tall 4 feet long and 5 feet wide
A-20
B-27
C-68
D-80
Dimensions of bigger box = 4ft x 4ft x 5ft
or, 48 in x 48 in x 60 in (Because 1 ft = 12 inch)
We know that, volume of a cuboid is:
V = length x breadth x height
Volumeo f big box = 48 x 48 x 60
= 138240 cubic inch.
Edge length of cube shape box = 12 inch
For cube, volume = edge^3
Volume of cube = (12)^3
= 1728 cubic inch
Number of cube shaped box that can fit into big box = Volume of big box / Volume of cube shaped box
= 138240 / 1728
= 80
Hence, correct answer is D-80.
turn 0.43,0.50 into a median
20 points
Help please........................
Point Q is located at (-4, 6) Point R is located at (8, 6) What is the distance from point Q to point R?
The distance from point Q to point R is 12 units.
The given coordinates are Q(-4, 6) and R(8, 6).
We need to find what is the distance from point Q to point R.
What is the formula to find the distance between two points?The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.
Now, using the distance formula, we get
Distance=√(8+4)²+(6-6)²
=√144=12 units
Hence, the distance from point Q to point R is 12 units.
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Read the complete problem before answering. Teresa bought 2 1/2 gallons of chocolate milk at the dairy farm. Chocolate milk cost $4.50 a gallon. How much did Teresa spend on the milk? A student solved the problem this way. gallons 2 1/2 = 2.5 gallons Let n represent the amount Teresa spent on the milk. n = 2.5 × $4.50 n = $11.25 Teresa spent $11.25. Use a similar strategy to solve this problem. Pedro bought 1 1/4 lb of red sand and 5 1/2 lb of brown sand to refill his sand box. Both types of sand cost $4.60 a pound. How much did Pedro spend on the sand?
how do I solve for x?
you spin a spinner the has 8 equal sized sections numbered. one to eight. Find P( 1 or 2 )
The probability of spinning a 1 or 2 on a spinner with eight equally sized sections can be calculated using the formula for probability, resulting in a probability of 0.25.
Explanation:The question asks to find the probability of spinning a 1 or 2 on a spinner with eight equally sized sections, each numbered from 1 to 8. The problem is a straightforward application of the concept of probability in mathematics, which can be calculated by the formula P(E) = Number of favourable outcomes / Total number of outcomes.
In this case, the number of favourable outcomes (spinning a 1 or 2) is 2, and the total number of outcomes is the total number of sections on the spinner, which is 8. Therefore, the probability P(1 or 2) is computed as 2 / 8 = 0.25.
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The graph below displays the wrist circumferences and heights of six students in Alyssa’s classroom.
Is the height of these students a function of their wrist circumference?
A(Yes because as wrist circumference increases height also increases
B(Yes because a line can be fit to these data to predict other pairings.
C(No because the height of 151 cm is paired with two wrist circumferences.
D(No because the wrist circumference of 16 cm is paired with two heights.
Answer:
Option D(No because the wrist circumference of 16 cm is paired with two heights.
Step-by-step explanation:
In the given graph we have set of points representing the wrist circumferences and heights of six students in Alyssa’s classroom.
x axis represents the wrist circumference while y axis represent the height.
Any relation is called a function if for one value of x we have only one value of y. If the graph passes the vertical line test that is if a vertical line drawn touches the graph at only one point then the graph is called a function.In the given graph for x value x=16 there are two y values 162 and 165.So the graph is not a function.
Among all the options Option D(No because the wrist circumference of 16 cm is paired with two heights.) is the right answer.
PLEASE HURRY, I NEED THE ANSWERS!!
1. The surface area of a box is 627in, what is the surface area if it is scaled by a factor of ten? (Show work)
2. The volume of the box is 720in, what is the volume of the box if it is scaled by 1/10? (Show work)
I dont know how to set it up. #20 solving equations with variables on both sides.
The next step in the solution for which equation could use the distributive property?
A. 4(t-6)=3t+9
B. 4•(t•6)=3t+9
C. 4t-6+3t=9
D. 4•t•1/4=3t+9
Ebony wants to leave an 18% tip for a $19.82 restaurant bill. The tax is 6.25%, which is added to the bill before the tip.
Ebony will pay a total of $24.85 for her meal after adding a 6.25% tax to the original price of $19.82 and then calculating an 18% tip on the resulting amount, which includes the tax.
The student, Ebony, needs to calculate the total cost of a restaurant bill which involves adding tax and a tip. The cost of her meal is $19.82, with a 6.25% tax to be added before calculating an 18% tip.
First, determine the sales tax amount by converting the percent to a decimal:
0.0625 × $19.82 = $1.24.
Add the sales tax to the meal's original cost to find the total before tip:
$19.82 + $1.24 = $21.06.
Next, calculate the tip amount by converting 18% to a decimal and multiplying by the post-tax total:
0.18 × $21.06 = $3.79.
To find the final amount Ebony will pay including the tax and tip, add the tip to the post-tax total:
$21.06 + $3.79 = $24.85.
Ebony will pay $24.85 at the restaurant's register, using either cash or a credit card, to cover her $19.82 meal with tax and tip.
please help solve 13 + m = 10
m = _____
A boat traveling upstream goes 84 kilometers in 7 hours. If the return trip takes only 3 hours, what is the speed (in kilometers per hour) of the boat still in water?
For questions 1 and two find the volume of the given prism. Round to the nearest tenth if necessary.
The volume of the rectangular and triangular prisms are 269.3 cubic centimeters and 1756.3 cubic yards respectively
How to calculate the volume of the prism?The formula for calculating the volume of a prism is given as;
V = lwh
l is the length
w is the width
h is the height
1) The volume of the prism is expressed as;
V = 12.1 * 5.3 * 4.2
V = 269.3 cubic centimeters
2) Volume of the triangular based prism = BH
Base area = 1/2(13)(13)sin60
Base area = 84.5(0.8660)
Base area = 73.177 square yard
Height H = 24 yards
Volume of the prism = 24 * 73.177
Volume of the prism = 1756.3 cubic yards
Hence the volume of the rectangular and triangular prisms are 269.3 cubic centimeters and 1756.3 cubic yards respectively
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You ran 4 miles. Rob ran half as far as you. Tim ran half as far as rob. Nicole ran half as far as tim. Write an expression for how far Nicole ran
Final answer:
Nicole ran 0.5 miles. The expression for Nicole's running distance, starting from your 4 miles run, is (4 / 2^3) or 4 / 8, which simplifies to 0.5 miles.
Explanation:
Expression for Nicole's Running Distance
The expression to find out how far Nicole ran is based on a sequence of halving distances starting from the original distance you ran. You ran 4 miles. Rob ran half as far as you, so Rob ran 4 miles / 2 = 2 miles. Tim ran half as far as Rob, therefore Tim ran 2 miles / 2 = 1 mile. Finally, Nicole ran half as far as Tim. Hence, Nicole ran 1 mile / 2, which is equal to 0.5 miles.
In a form of an expression, the distance Nicole ran can be represented as:
(4 / 2) / 2) / 2
Or simplified to:
(4 / 2^3)
Or,
4 / 8 = 0.5 miles
Jason ran 325 meters farther than Kim.Kim ran 4.2 kilometers.How many meters did Jason run?Estimate to check your answer
Stevens family traveled 240 miles in 4 hours. What was there average speed in miles per hour?
Answer:
60mph
Step-by-step explanation:
divide 240 by 4 it's easy that's
how I solve these types of questions so keep that in mind.
use the graph of f(x)to find the solutions to the equation f(x)=0.
what are all the properties of a square
A square is a quadrilateral defined by its properties of equal sides and right angles.
A square is a quadrilateral with four equal sides and four right angles.
Its properties include:
All sides are equal in length
All angles are right angles
The diagonals are equal in length and bisect each other at right angles
find the missing measure in each triangle with the given angle measure ? 45° , 35°,x°
Answer:
X=100
Step-by-step explanation:
kathleen rolled a number cube that has sides labeled 1 to 6. What is the probability that she rolled a 2 or a 4
write as a numerical expression subtract 50 from the sum of 6 and 4 to the tenth power
The numerical expression for 'subtract 50 from the sum of 6 and 4 to the tenth power' is written as[tex](6 + 4^{10}) - 50,[/tex] following the order of operations.
To write the statement "subtract 50 from the sum of 6 and 4 to the tenth power" as a numerical expression, you would first calculate 4 to the tenth power, then add 6 to this result, and finally subtract 50 from the total sum.
The expression would look like this:
[tex](6 + 4^{10) - 50[/tex]
It's important to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Here, you calculate the exponent before adding 6 and then subtract 50 from the result.