the diagonal of a rectangle is 25 in. the width is 15 inches. what is the area of the rectangle?
Answers
Answer:
300
Step-by-step explanation:
The area of the rectangle can be calculated as follows
15√ 25^2 - 15^2
= 15√625-225
= 15√400
= 15 × 20
= 300
Hence the area of the rectangle is 300
Related Questions
In an equilateral triangle, all side lengths are equal and all angle measures are equal. Sketch an equilateral triangle. What are the measures of its angles??
Answers
Answer:
every angle equals 60°
Step-by-step explanation:
the sum of angles of any triangle is 180 so the equilateral triangle have all angles equal so 180 ÷ 3 = 60
a line goes through (-1, -1) and (3,-2) write its equation in point slope form
Answers
Answer:
y + 1 = -1/4 (x+1)
y + 1 = - \(\frac{1}{4}\) (x+1)
Step-by-step explanation:
hunter can replace an engine by himself in 20 hours. with the help of jordan they can both replace it in 6 hours, how long does it take for jordan to replace it on his own ? round to the nearest hundred
Answers
Mr Hunter can replace an engine in 20 hours
Let the time taken for Jordan to replace an engine be represented by k
The both of them can replace the engine in 6 hours
The formula for work rate is
\(Rate=\frac{Volume\text{ }}{Time}\)Since they are replacing an engine, let the volume be represented by 1
The rate at which Mr Hunter can replace an engine alone is
\(Rate=\frac{1}{20}\)The rate at which Jordan can replace an engine alone is
\(Rate=\frac{1}{k}\)The rate at which both of them can replace an engine is
\(Rate=\frac{1}{6}\)Total work rate is
\(\frac{1}{20}+\frac{1}{k}=\frac{1}{6}\)Solve to find k,
\(\begin{gathered} Collect\text{ like terms} \\ \frac{1}{k}=\frac{1}{6}-\frac{1}{20} \\ \frac{1}{k}=\frac{10-3}{60}=\frac{7}{60} \\ \frac{1}{k}=\frac{7}{60} \\ k=\frac{60}{7} \\ k=8.571428571\text{ hours} \\ k=8.6\text{ hours (1 decimal place)} \end{gathered}\)Hence, it will take Jordan 8.6 hours (1 decimal place) to replace an engine alone.
Peri earned $55 for 5 dog walks. If Peri earned $22, how many times did she walk her neighbor's dog?
Answers
Answer:
2
Step-by-step explanation:
55÷5=11
22÷11=2
Compare and contrast the relative frequency for the whole table in part B with the two-way frequency table given in the activity introduction. What trends or generalizations can you identify from the data in the tables?
Answers
The way to convert counts into relative frequencies in a Two Way Relative Frequency Table is to divide the count by the total number of items
What is a Frequency Table?
This refers to the depiction of the number of times in which an event occurs in the form of a table.
Hence, when a two-way frequency table is used, it shows the visual representation of the possible relationship between different sets of data.
Please note that your question is incomplete as you did not provide the frequency table needed and also the trends and generalizations to find, so a general overview was given.
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Answer:
The relative frequency table shows a trend that a majority of people prefer coffee over tea: the ratio in the total row for coffee is 0.65 and just 0.35 for tea. Similarly, more people are night owls than early birds: the total column for night owl is 0.6, but the early bird column is only 0.4.
A professor samples 9 random TCC students and record their commute times. She finds that the average commute time of the 9 students is 14.27 minutes with a standard deviation of 4.31 minutes. She also finds that the commute times look like they come from a normal distribution.
Find a 80% confidence interval for the mean commute time of all TCC students.
( ) Round to three decimal places. ( )
Answers
The 80% confidence interval for the mean commute time of all TCC students is given as follows:
(12.263, 16.277).
What is a t-distribution confidence interval?The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the following rule:
\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)
In which the variables of the equation are presented as follows:
\(\overline{x}\) is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 80% confidence interval, with 9 - 1 = 8 df, is t = 1.3968.
The parameters are given as follows:
\(\overline{x} = 14.27, s = 4.31, n = 9\)
Hence the lower bound of the interval is of:
14.27 - 1.3968 x 4.31/sqrt(9) = 12.263.
The upper bound of the interval is of:
14.27 + 1.3968 x 4.31/sqrt(9) = 16.277.
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7.45 times _____ =74.5
Answers
Answer:
The answer is 10
Here are a few pairs of positive numbers whose sum is 34. (3 pts)
a. Find the product of each pair of numbers.
First
Number
1
4
8
14
Second
Number
33
30
26
20
b. Which pair of numbers that have a sum of 34 will produce the largest possible
product? What is that product?
Answers
Answer: 280
Step-by-step explanation:
The products of each pair of numbers are:
1 x 33 = 33
4 x 30 = 120
8 x 26 = 208
14 x 20 = 280
b. To find the pair of numbers that will produce the largest possible product, we need to look for the pair with the closest product to 340 (the square of 17, which is the average of the two numbers).
The pair of numbers with the closest product to 340 is 14 and 20, whose product is 280. Therefore, the pair of numbers that will produce the largest possible product is 14 and 20, and the product is 280.
The interior angles of a polygon are in A.P. If the smallest angle is 100 o
and the common difference is 4 o
, find the number of sides ?
Answers
The polygon has 21 sides whose interior angle are in Arithmetic Progression (A.P.)
The interior angles of a polygon are in an arithmetic progression (A.P) if the difference between any two consecutive angles is constant. To find the number of sides in a polygon given its smallest angle and the common difference of its interior angles, we can use the formula:
n = (180° - smallest angle) / common difference + 1, where n is the number of sides in the polygon.
In this case, the smallest angle is 100° and the common difference is 4°, so the number of sides can be calculated as follows:
n = (180° - 100°) / 4° + 1 = (80°) / 4° + 1 = 20 + 1 = 21.
Therefore, the polygon has 21 sides. It is important to note that a polygon with 21 sides is called an icosikaihenagon, which is a highly unusual and exotic shape, as most polygons have a smaller number of sides.
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two hundred twelve thousandths as a decimal?
Answers
Answer:
0.212
I hope this helps!
Answer:
.212 hope that helps
11 players are going to practice in the batting cage. how many different orders are possible
Answers
Answer:
Step-by-step explanation:
My thousands digit is 4
- My hundreds digit is 4 less than the digit in the thousands place
- The sum of my tens digit and ones digit is 7
- My tens digit is 3 more than my ones digit
- The digits in the thousands period have a sum of 10
- My first digit is half the digit that immediately follows it.
Answers
The values In wxyz are mathematically given as
W=4
y=5
X=0
What is the values In XYZ?My one's digit and my tens digit together make up a total of seven.My one digit has three more digits than my tens digit does.
Let the equation for the number be: wxyz.
Digits at tens place = yz Diglt at ones place = zGenerally, the equation for is mathematically given as
z+y=7 ......1
y=2+3 .......2
solving further
z+3+z-7
2z 7-3
z=2
Putting the value of z Within the second equation:
y=z+3 y=2+3
y=5
1. The digit in the thousands place of my number is 4, and
2. The digit in the hundreds place is four fewer than the digit in the thousands place.
W=4
X=w-4
x=4-4
X=0
In conclusion, the values In wxyz are
W=4
y=5
X=0
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two interior angles of a trapezium sum up to 250 degrees If the remaining angles are equal find the value
Answers
9514 1404 393
Answer:
each is 55°
Step-by-step explanation:
The sum of angles in a trapezium is 360°, so the sum of the remaining two angles is 360° -250° = 110°. Each of those two equal angles will be ...
110°/2 = 55°
Someone help please !!!
Answers
Answer:
The answer is M = (C-5)/4
Solve for v
-9/8=v-1/2
Answers
Answer:asdasdas
Step-by-step explanation:
sadassadsa
According to the National Retail Federation, the average shopper will spend $1,007.24 during the holiday shopping season. What is the null and alternate hypothesis
Answers
Based on the amount predicted to be spent, the hypotheses will be:
Null Hypothesis = $1,007.24Alternate Hypothesis ≠ $1,007.24The Null Hypothesis is the one that confirms the prediction so in this case it will be that the average shopper will indeed spend $1,007.24.
The Alternate Hypothesis theorizes that the event being predicted will not happen so in this case that would mean that the shopper would not spend $1,007.24.
In conclusion, the null hypothesis confirms and the alternate denies.
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If one root of the equation
Answers
Answer:
Where is the question...
Fred did 600 J of work in 60 seconds. Calculate his power.
O
A. 600 W
B. 100 N
C. 500 N
OD. 10 W
Answers
Answer:
To calculate Fred's power, we can use the formula:
Power = Work / Time
Given that Fred did 600 J of work in 60 seconds, we can substitute the values into the formula:
Power = 600 J / 60 s
Power = 10 W
Therefore, the correct answer is:
D. 10 W
Step-by-step explanation:
Answer:
Power = Work/Time
Power = 600 J/60 s = 10 W
Therefore, the answer is D. 10 W.
Step-by-step explanation:
Moritz is creating a wooden ramp with the given dimensions. The ramp will not need a bottom face. Excluding the bottom face, the surface area is 60 ft2. A net of a rectangular prism. The rectangular base has a height of 4 feet and length of 6 feet. The triangular sides have a base of 4 feet and height of 3 feet. A rectangular side has a base of 6 feet and height of 3 feet. Another rectangular side has a base of 6 feet and height of 5 feet. Wood costs $1.40 per square foot. How much will Moritz pay for 60 ft2 of wood? To calculate the cost, 1.40 and 60. He will need to pay for the wood.
Answers
To calculate the cost, multiply 1.40 and 60. He will need $84 to pay for the wood.
What is surface area?The Square Pyramid is known to have a Surface Area.
The surface area of a solid is known to be the measurement of the full space or area that is filled or taken by the surface of any given object.
Note that in the scenario above, To calculate the cost, one has to multiply 1.40 and 60 to get the amount and He will need $84 to pay for the wood.
see the other part of the question below
Wood costs $1.40 per square foot. How much will Moritz pay for 60 ft2 of wood?
To calculate the cost, _________ 1.40 and 60.
He will need _____ to pay for the wood.
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A party store recorded recent balloon sales. green 20 blue 17 pink 12 purple 19 orange 7 What is the experimental probability that the next balloon sold will be green? Write your answer as a fraction or whole number.
Answers
The experimental probability of the next balloon sold being green is 4/15.
Probability is a crucial concept in the field of mathematics that is used to measure the likelihood of an event happening.
According to the information given, the number of green balloons sold is 20, and the total number of balloons sold is the sum of all the colors, which is:
20 + 17 + 12 + 19 + 7 = 75
Now we can use these numbers to calculate the experimental probability of a green balloon being sold:
Experimental probability of a green balloon being sold = Number of green balloons sold / Total number of balloons sold
Experimental probability of a green balloon being sold = 20 / 75
Experimental probability of a green balloon being sold = 4/15
This means that if we randomly select a balloon from the store, the likelihood of it being green is 4 out of 15 or approximately 0.27 or 27%.
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Answer:
4/15
Step-by-step explanation:
1. Prove ~ (Pvq) <=> (~P^~9).
Algebra of propositional variables
2. P^ q = q^q
P v q = q v p
show that both are commutative
Answers
Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
How to explain the commutative property.It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property
From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.
In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.
Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
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Factor: 96q^2-54r^2+312
Answers
Rewrite 312 as 52×6
Rewrite -54 as 9×6
Rewrite 96 as 16×6
16.6q^2+9.6r^2+52.6
factor out common term 6
=6(16q^2-9r^2+52)
Seventy percent of the children went on the excursion. If 27 stayed at school, how many went?
Answers
By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.
We are given that,
No. of children who stayed at school is 27,
Also, 70% of the children went on an excursion.
Suppose, the total number of children in percentage is 100%
Out of which 70% went on an excursion
Thus, the children who stayed at school is 100% - 70% = 30%
By using the Unitary method, we can find out the number of 70% of children.
If 30% of the children are 27
Then 70% of the children are = 27 × 100
30
= 63
∴ the total no. of children in the school = 27 + 63
= 90
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Please answer asap
Please
Please
Answers
Step-by-step explanation:
Standard form:
y = ax² + bx + cVertex form:
y = (x - h)² + kIdentity used:
(a ± b)² = a² ± 2ab + b²6 - 7)
Standard to vertex form conversion by completing the square
y = x² - 3x + 16
= x² - 2*1*3/2 + (3/2)² - (3/2)² + 16
= (x - 3/2)² - 9/4 + 16 =
= (x - 1.5)² + 13.75
8 - 9)
Same as above
y = x² - 2x + 3
= x² - 2*1*x + 1² - 1² + 3
= (x - 1)² + 2
10 - 12)
Vertex to standard for conversion by opening parenthesis and simplification
y = (x - 11)² + 15
= x² - 22x + 121 + 15
= x² - 22x + 136
13-15)
Same as above
y = (x - 4)² + 11
= x² - 8x + 16 + 11
= x² = 8x + 27
Based on the information in the two-way table, what is the probability that a person
selected at random both bikes and runs?
Round your answer to the nearest tenth of a percent.
Answers
Answer:
Step-by-step explanation:
What is the answer pls help
Answers
Answer: 1 m is 9 there are 7 m so 7X9 =63
Step-by-step explanation:
Answer:
the answer would be 9
expination:
because 63 divide by 7 would be 9
Fill in the blanks and explain the pattern.
4.25, 4.5,__,__,__,5.5,__,6.0
Answers
Answer:
4.25, 4.5, 4.75, 5.00, 5.25, 5.5, 5.75, 6.00
Step-by-step explanation:
it is an arithmetic sequence with common difference 0.25
I will mark Brainy just help!!!!
Answers
Answer:
D
Step-by-step explanation:
A bank account gathers compound interest at a rate of 5% each year.
Another bank account gathers the same amount of money in interest by the end of each year, but gathers compound interest each month.
If Haleema puts £3700 into the account which gathers interest each month, how much money would be in her account after 2 years and 11 months?
Give your answer in pounds to the nearest 1 p.
Answers
Haleema would have approximately £3947.46 in her account after 2 years and 11 months, considering the monthly compounding interest of 5%.
To calculate the amount of money in Haleema's account after 2 years and 11 months, we need to consider the monthly compounding interest on the account.
The interest rate is given as 5% per year, which means the monthly interest rate is (5%/12) = 0.4167%.
Let's calculate the final amount using the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, P = £3700, r = 0.004167, n = 12 (monthly compounding), and t = 2.917 (2 years and 11 months).
Plugging these values into the formula, we get:
A = £3700(1 + 0.004167/12)^(12*2.917)
A ≈ £3947.46
The amount of money in Haleema's account after 2 years and 11 months would be approximately £3947.46.
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Hi Means What 62+789
Answers
62 + 789
= 851
it means that if you have 62 sticks and add 789 sticks, your total number of sticks is 851 sticks.