The Pythagorean theorem states that the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
The approximate length of the diagonal is 12 inches.
What is Pythagorean theorem?The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
We have,
Height = 10 inches
Width = 7 inches
Height and width can be considered as the other two sides.
Now,
The diagonal length can be considered as the hypotenuse.
Now,
Diagonal² = 10² + 7²
Diagonal² = 100 + 49
Diagonal² = 149
Diagonal = √149
Diagonal = 12.206 inches
The approximate diagonal length will be 12 inches.
Thus the approximate length of the diagonal is 12 inches.
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A sporting goods company can ship 6 football's in each carton. How many cartons
are needed to ship 75 football's?
What’s the ratio for 34in to 14ft
Margo used the equation y=-4x-1 to graph a line. She graphed the point (-1, 0), Does (-1, 0) lie on the line? If not, what mistake did Margo make?
Find the perimeter and area of each figure
The boiling point (at atmospheric pressure) of Ammonia is -28 1/10°F and of Propylene is -53 9/10°F. What is the difference in their boiling points?
-82°F
26°F
25 4/5°F
-81 4/5°F
Answer:
yeah I got it right
Step-by-step explanation:
How do I solve this?
Molly works at an electronics store. Her last customer purchased a DVD player for $67.65 and five DVDs for $57.93, including taxes. If the customer paid her with two $100 bills, how much change should she give him?
A popular chain of superstore makes 30.479×10730.479×107 dollars in profit each year. One of its store makes 210.2×104210.2×104 in profit each year.
How many times greater is the profit made by the chain than by one of its store?
Enter your answer, using scientific notation, in the boxes.
Final answer:
To find how many times greater the chain's profit is than one store's, divide the chain's profit by the store's profit. After dividing the coefficients (30.479/210.2) and subtracting the exponents (7-4), we find that the chain's profit is 145 times greater than that of one store, which is 1.45 × 10² in scientific notation.
Explanation:
To determine how many times greater the profit made by the chain is than by one of its store, we need to divide the total profit of the chain by the profit of one store. Both profits are given in scientific notation as follows:
Chain's annual profit: 30.479 × 107 dollars
One store's annual profit: 210.2 × 104 dollars
To perform the division, we divide the coefficients and subtract the exponents:
(30.479 × 107) / (210.2 × 104) = (30.479 / 210.2) × 10(7 - 4)
Calculating the division of coefficients and exponents separately:
Coefficients: 30.479 / 210.2 ≈ 0.145
Exponents: 103, since 7 - 4 = 3
The result is:
0.145 × 103, which is the same as 1.45 × 102 in scientific notation after adjusting the decimal point one place to the right. Therefore, the chain's profit is 145 times greater than the profit of one store.
A system of equations is graphed on the coordinate plane.
2y = 3x − 1
4y = 6x − 2
Select the number of solutions for the system of equations from the drop-down menu.
A. no solution
B. one solution
C. infinitely many solutions
Write the standard form of the line that contains a slope of -3/8 and passes through the point (5, -4). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
Answer: [tex]3x+8y+17=0[/tex]
Step-by-step explanation:
We know that the equation of a line passing through a point (a,b) ans has slope 'm' is given by :-
[tex](y-b)=m(x-b)[/tex]
Given : Slope : [tex]m=\dfrac{-3}{8}[/tex]
Point = (5, -4)
Then, the equation of a line passing through a point (5, -4) ans has slope [tex]\dfrac{-3}{8}[/tex] is given by :-
[tex](y-(-4))=\dfrac{-3}{8}(x-5)\\\\\Rightarrow\ 8(y+4)=-3(x-5)\\\\\Rightarrow\ 8y+32=-3x+15\\\\\Rightarrow\ 3x+8y+32-15\\\\\Rightarrow\ 3x+8y+17=0\ \ [\text{In standard form}][/tex]
Therefore, the standard form of the line that contains a slope of [tex]\dfrac{-3}{8}[/tex] and passes through the point (5, -4):
[tex]3x+8y+17=0[/tex]
Systems of equations word promblems. I need help answering this questions >. < Tysm. Please explain it also.
3)Flying to kampala with a tailwind a plane averaged 158 km/h. on the return trip the plane only averaged 112 km/h while flying back into the same wind. find the speed of the wind and the speed of the plane in still air
the sum of two numbers 18 and their difference is 4. what are the two numbers?
The values of a and b in the expression given are 11 and 7 respectively
Let the numbers be : a and b
The sum of the numbers equals 18 :
a + b = 18 - - - (1)The difference of the numbers equal 4 :
a - b = 4 - - - (2)From (1):
a = 18 - b - - - (3)Substitute the value of a in (3) into (2)
18 - b - b = 4
Collect like terms
18 - 2b = 4
-2b = 4 - 18
-2b = - 14
b = 14 / 2
b = 7
From (3)
a = 18 - 7 = 11Therefore, the values of a and b are 11 and 7 respectively
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Which statement and explanation about the product of a 3-digit number and a 2-digit number is correct?
A. The product always has 4 digits. The least 3-digit number is 100, and the least 2-digit number is 10. The product of 100 and 10 has 4 digits, so any product of a 3-digit and a 2-digit number must have 4 digits.
B. The greatest number of digits in the product is 6. The greatest 3-digit number is 999, and the greatest 2-digit number is 99. The product of 3 digits and 2 digits equals 6 digits, so no product of a 3-digit and a 2-digit number can have more digits.
C. The product always has 5 digits. The greatest 3-digit number is 999, and the greatest 2-digit number is 99. The product of 999 and 99 has 5 digits, so any product of a 3-digit and a 2-digit number must have 5 digits.
D. The greatest number of digits in the product is 5. The greatest 3-digit number is 999, and the greatest 2-digit number is 99. The product of 999 and 99 has 5 digits, so no product of a 3-digit and a 2-digit number can have more digits.
The correct statement is :
D. The greatest number of digits in the product is 5. The greatest 3-digit number is 999, and the greatest 2-digit number is 99. The product of 999 and 99 has 5 digits, so no product of a 3-digit and a 2-digit number can have more digits.
The smallest 2 digits is 10, and the smallest 3 digits is 100
Their product is:
[tex]10 \times 100 = 1000[/tex] i.e. 4 digits
The greatest 2 digits is 99, and the greatest 3 digits is 999
Their product is:
[tex]99 \times 999 = 98901[/tex] i.e. 5 digits
This means that;
No product of the digits can have more than 5 digits
And, no product can have less than 4 digits
Hence, (d) is correct
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What are the steps to the problem 4,3021 - 835.6?
The final result is 3466.5.
To solve the subtraction problem 4,302.1 - 835.6, follow these steps:
Align the Numbers: Line up the numbers by their decimal points.The final answer is, 3466.5.
Carmen measured a house and made a scale drawing. The scale of the drawing was 9 millimeters = 1 meter. What is the drawing's scale factor? Write it as a fraction.
Ten years from now Sam will be twice as old as she was three years ago.How old is she now?
Answer:
is ther any information about how old he will be in ten years from now
Step-by-step explanation:
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Sam's current age is 16 years old based on the provided condition.
Ten years from now, Sam will be twice as old as she was three years ago. Let's represent Sam's current age as x. According to the given condition:
Age after ten years = x + 10
Age three years ago = x - 3
Given that the age after ten years will be twice the age three years ago:
x + 10 = 2(x - 3)
Solving for x:
x + 10 = 2x - 6
x = 16
Therefore, Sam is currently 16 years old.
a number between 67 and 113 that is a multiple of 3, 6 and 9
how do i graph –73x+2
Mrs. Gonzalez buys a total of 32 crayons for her classroom. Each pack contains 8 crayons. How many packs of crayons does Mrs. Gonzalez buy ?
what is an rational number
True or False ?
A line represented by the equation x= 1/2 is parallel to x-axis?
A linear equation has more than one y intercept.what can you conclude about the graph of the equation?
Choose an equation that represents the line passing through the point (2, -4) with a slope of 1/2.
2.365 x 12.4 ASAP
can you please show work like this how you got it
To perform the multiplication 2.365 x 12.4, you need to multiply each digit of the numbers, remembering to keep track of decimal places, and then add all the partial results together. This gives a final result of 29.326.
Explanation:To solve the multiplication problem 2.365 x 12.4, you use the standard multiplication method, which involves multiplying each digit of the multipliers. Follow the steps below:
Multiply 5 (from 2.365) by each digit in 12.4: 5x4=20, 5x2=10, 5x1=5. Write this number, 11820, under the problem and mark the decimal.Multiply 6 (from 2.365) by each digit in 12.4, but shift one place to the left. Do the same for 3 and 2 in 2.365, shifting each time to the left.Add all the resulting numbers up, making sure your decimal places align correctly (2 places in this problem).The final result of the multiplication 2.365 x 12.4 is 29.326.
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Which of the following inequalities match the statemennine is more than a number
9 < n
9 ≥ n
9 ≤ n
9 > n
Answer:
9 > n
Step-by-step explanation:
think of this <ess it kinnda looks like it says less so > means the greater than symbol
Hopes This Helps :) please make me brainless just one time
Below is last month's business income statement for Korey's Comics. Using the information provided in the statement, determine net income for Korey's Comics last month. Korey?s Comics Monthly Business Income Statement Revenue Sales: $6,825 Returns: $215 Net Sales: Cost of Goods Sold Beginning Inventory: $780 Purchases: $1,795 Goods Available for Sale: Ending Inventory: $795 Total Cost of Goods Sold: Gross Profit:: Operating Expenses Wages: $1,460 Rent: $650 Utilities: $185 Advertising: $90 Taxes: $125 Total Operating Expenses: Net Income: a. $2,320 b. $2,510 c. $4,830 d. $6,610
Based on the information given the net income is $2320.
Net income
Using this formula
Net Income = Gross Profit - Operating Expenses
Where:
Net Sales = Revenue - Returns
Net sales=$6,825 -$215
Net sales=$6610
Cost of goods sold= Beginning Inventory + Purchase - Ending Inventory
Cost of goods sold =$780 + $1,795 - $795
Cost of goods sold=$1780
Gross Profit = Net Sales - Cost of goods sold
Gross profit =$6610 - $1780
Gross profit=$4830
Operating Expenses:
Wages $1,460
Rent $650
Utilities $185
Advert $90
Tax $125
Total Operating Expenses $2,510
Let plug in the formula
Net income=$4,830 - $2510
Net income=$2320
Inconclusion the net income is $2320.
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The graph below represents one function and the table represent s a diffrent function how are the functions similar?
Simplify. 46√+26√−6√
6√6
5√18
5√6
6√18
Answer:
46√+26√−6√ It Is 5√-6
Answer:
The answer is: [tex]5\sqrt{6}[/tex]
good luck!
Eder needs 6 cookies and 2 brownies for every 4 plates he makes for a bake sale.
How many cookies and brownies would Eder need for 10 plates?
why is the square root of 32 irrational