Answer:
13.6 is the correct answer
Step-by-step explanation:
got it right on the test
Final answer:
To find the perimeter of the given quadrilateral, calculate the distance between each pair of consecutive points using the distance formula and sum these distances. The perimeter is the sum of √17 + √20 + 3 + 2 which is 13.59 units.
Explanation:
The question you've asked involves finding the perimeter of a four-sided figure, known as a quadrilateral, with vertices R, S, T, and U located at (-1, 3), (-2, 7), (2, 5), and (-1, 5) respectively. To find the perimeter of this shape, we need to calculate the distance between each pair of consecutive vertices and sum these distances up.
Firstly, use the distance formula – d = √((x2 - x1)² + (y2 - y1)²) – to calculate the length of each side:
RS = √((-2 - (-1))² + (7 - 3)²) = √(1 + 16) = √17=4.12
ST = √((2 - (-2))² + (5 - 7)²) = √(16 + 4) = √20 = 4.47
TU = √((-1 - 2)² + (5 - 5)²) = √(9 + 0) = 3
UR = √((-1 - (-1))² + (3 - 5)²) = √(0 + 4) = 2
Finally, sum these distances to find the perimeter: √17 + √20 + 3 + 2 which comes out to be 13.59 units. The exact perimeter involves square roots since we're dealing with irrational distances.
Question 7 Unsaved A couch cost $825. If the state has a 10% sale's tax. What was the price of the couch before taxes?
Question 7 options:
$785
$750
$735
$700
The equation can be framed as follows:
Before tax cost *(1+tax rate) = Final cost
Given tax rate = 10% = 0.1
Final cost = $825
Before tax cost *(1+0.1) = 825
Before tax cost * 1.1 = 825
Before tax cost = 825/1.1
Before tax cost = $750
Price of the couch before taxes = $750
ASAP pleaseeeeee!!!!!!
kathleen rolled a number cube that has sides labeled 1 to 6. What is the probability that she rolled a 2 or a 4
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.
find the missing measure in each triangle with the given angle measure ? 45° , 35°,x°
Answer:
X=100
Step-by-step explanation:
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
turn 0.43,0.50 into a median
20 points
Traci plans to conduct a coin-flipping experiment to see if the probability of landing on "heads" or "tails" is close to the theoretical probability of 1 2 . Which experiment is likely to yield a result FARTHEST from the theoretical probability?
Traci's coin-flipping experiment is more likely to yield results farthest from the theoretical probability of 1/2 if she conducts the experiment with only a few flips, due to the law of large numbers.
Traci wants to investigate the probability of landing on heads using a coin-flipping experiment. To find the result furthest from the theoretical probability, Traci should plan an experiment with fewer flips. The law of large numbers implies that as the number of trials increases, the experimental probability will converge closer to the theoretical probability. Hence, if Traci flips the coin only a few times, there's a greater chance that the experimental results will diverge significantly from the expected outcome of 50% heads and 50% tails. On the other hand, flipping the coin many times, such as in Pearson's experiment with 24,000 flips, is likely to yield a result very close to the theoretical probability. This is because individual variations have less impact on the overall outcome as the sample size increases.
Each question mark represents a missing exponent. Find the missing value of the exponent needed to make the equations true.
(6^3)^?=1
Please explain how you got your answer. Thanks!
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 answer for number 32
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
how do I solve for x?
Eight times the sum of a number and one is -8
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?
the product of 3/4 and a number s is 3/5
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
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
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?
Help me solving those seven equation please 12x-9=8x-37 , 11x=8x-6, -x-29=13+2x ,2(4x+7)=2x-4 ,2x+15=43-5x ,-14+3(x+10)=7(2x+4)+x , and 8(x+3=12x-4
please help solve 13 + m = 10
m = _____
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.
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
Bob can cut through a log in 3 minutes. How long will it take him to cut a 25foot log into 5 foot sections?
Time required to cut a [tex]25[/tex] foot log into [tex]5[/tex] sections is equal to [tex]12[/tex] minutes as per given condition.
What is time?" Time is defined as the duration required to complete something. It is a measurable period with some definite or indefinite action."
According to the question,
Time required to cut a log [tex]=3[/tex] minutes
Length of a given log [tex]=25[/tex] foot
Length of each section to be cut [tex]= 5[/tex] foot
Number of section cut from given log [tex]= \frac{25}{5}[/tex]
[tex]=5[/tex] logs
As shown in the diagram,
Number of log Bob has to cut to get [tex]5[/tex] logs [tex]= 4[/tex]
Time required to get [tex]5[/tex] logs [tex]= 3\times 4[/tex]
[tex]= 12[/tex] minutes
Hence, time required to cut a [tex]25[/tex] foot log into [tex]5[/tex] sections is equal to [tex]12[/tex] minutes as per given condition.
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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.
a pair of sunglasses is on sale for $26. The origanal price of the sunglasses was $40 what percent of the original prive is the sales price
The sales price is 35%.
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.
The store sale 85% off only today. Ella planned to buy these skates anyway, and so she bought them immediately.
If she paid $18.00. How much money did she save?
use the graph of f(x)to find the solutions to the equation f(x)=0.