The statement "the square of the longest side is equal to the sum of the squares of the two shorter sides" is true for a right-angled triangle.
(a) 5 cm, 12 cm and 13 cm
The statement is represented as:
[tex]\mathbf{13^2 = 12^2 + 5^2}[/tex]
[tex]\mathbf{169= 144 + 25}[/tex]
[tex]\mathbf{169= 169}[/tex]
Hence, the statement is true for triangle (A)
(b) 4 cm, 5 cm and 7 cm
The statement is represented as:
[tex]\mathbf{7^2 = 5^2 + 4^2}[/tex]
[tex]\mathbf{49 = 25 + 16}[/tex]
[tex]\mathbf{49 = 41}[/tex]
Hence, the statement is not true for triangle (B)
(c) 3 cm, 4 cm and 5 cm
The statement is represented as:
[tex]\mathbf{5^2 = 4^2 + 3^2}[/tex]
[tex]\mathbf{25 = 16 + 9}[/tex]
[tex]\mathbf{25 = 25}[/tex]
Hence, the statement is true for triangle (C)
(d) 9 cm, 12 cm and 15 cm
The statement is represented as:
[tex]\mathbf{15^2 = 12^2 + 9^2}[/tex]
[tex]\mathbf{225 = 144 + 81}[/tex]
[tex]\mathbf{225 = 225}[/tex]
Hence, the statement is true for triangle (D)
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12/16•4/3 divided by 5/6
Answer: 1.2
Step-by-step explanation:
12/16 = 0.75
0.75 X 4/3 = 1
1/ (5/6) = 1.2
Answer:
I believe it is 1.2
Step-by-step explanation:
12/16x4/3
12x4=48
16x3=48
48/48=1
1 divided by 5/6=1.2
hope this helps :)
The figure shows how the yard lines on a football field are numbered. The goal lines are labeled G. A referee was standing on a certain yard line as the first quarter ended. He walked 41
3
4
yards to a yard line with the same number as the one he had just left. How far was the referee from the nearest goal line? Express your answer as a simplified mixed number.
The referee was BLANK yards away from the goal line before moving.
YOU WILL DO YOU GOOD LUCK
Step-by-step explanation:
PLEASE HELP ILL MARK BRAINLIEST
Find the zeros of the function write as ordered pairs
Answer:
Step-by-step explanation:
You can do nothing more than just write the ordered pairs.
(1,0)
(-1.5,0)
(-3.75,0)
An engine runs for 5.8 hours. How many seconds did it run?
Answer: 20880 seconds.
Step-by-step explanation:
Which function is the inverse of the function f(x) = 4x2 + 10, if the domain of f(x) is x 2 0?
Step-by-step explanation:
inverse = √((x-10)/4)
that is the answer
Answer:
Step-by-step explanation:
Answer the question below, and then fill in the blanks if necessary.
Can the distributive property be used to rewrite
3 x (8 + 4) ?
Yes
No
If yes, fill in the blanks below.
3 x (8 + 4) - (0 * D + xD
X 5
?
Answer:
yes
Step-by-step explanation:
3(8+4)
(3×8)+(3×4)
24+12
36
Find the values of a and b.
Step-by-step explanation:
Substitute x=0x=0 to get a3+b2=−56a3+b2=−56 and x=−1x=−1 to get a2+b=−12a2+b=−12 and solve them to get a=−7,b=3
Translate this sentence into an equation.
70 is the product of Han's savings and 5.
Use the variable h to represent Han's savings.
Please explain step by step how to solve. Thank you
By doing cross multiply, you'll get
6(p-1) = 8(p+10)
Expand
6p-6 = 8p+80
Arrange
-80-6 = 8p-6p
-86 = 2p
Divide by 2 to find p
-43 = p
Answer:
p =
Step-by-step explanation:
First, we can start by cross multiplying.
p−1p+10=86
(p−1)*(6)=8*(p+10)
6p−6=8p+80
After some simplification, we get:
−2p=86
Then we find out that p = -43
If we put it in, and then simplify that, we will get 8/6
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for real numbers x and y what is the largest possible value of 5 - (x-y)^2
Answer:
5−x²+2xy−y²
Step-by-step explanation:
5 - (x-y)²
Rewrite
(x−y)² as (x−y)(x−y) so
5−((x−y)(x−y))
Expand (x−y)(x−y) using the FOIL Method
Apply the distributive property.
5−(x(x−y)−y(x−y))
Apply the distributive property
5−(x⋅x+x(−y)−y(x−y))
Apply the distributive property
5−(x⋅x+x(−y)−yx−y(−y))
Simplify and combine like terms
Simplify each term
5−(x²−xy−yx+y²)
Subtract yx from −xy
5−(x²−2xy+y²)
Apply the distributive property
5−x²−(−2xy)−y²
Multiply −2 by −1
5−x²+2xy−y²
Solve for in terms of A and w. A=w
Answer:
Step-by-step explanation:
Given A = w:
w in terms of A is w = A, and
A in terms of w is A = w
the 10th term of an arithmetic sequence is 57 and the seventh term is 447 find the common difference and the first term
Answer:
232
Step-by-step explanation:
Mary found a pair of boots that cost $60 sales tax is 7% what is the total price Mary will pay for the boots?
Answer:
2 Hola cómo estás mi amigo
Answer:
sale price SP= cost + sales tax
SP= 60 + 7% of 60
SP= 60+4.2
SP= $64.2
The formula for force is F = ma. Solve
for mass, m.
Answer:
Divide By Acceleration
Step-by-step explanation:
F = ma
F/a= m/a
step 1: find the factors of ac that add up to b. ac=6(−10)=−60 b=−11 the factors of −60 that add up to −11 are and . step 2: rewrite the trinomial with the x-term expanded, using the two factors from step 1. 6x2−11x−10 (6x2− )+( −10) step 3: group the first two and second two terms together, find the gcf and factor again. (2x−5)+ (2x−5
Answer:
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=6⋅−10=−60 and whose sum is b=−11
.
6x2+4x−15x−10
Factor out the greatest common factor from each group.
2x(3x+2)−5(3x+2)
Factor the polynomial by factoring out the greatest common factor, 3x+2
.
(3x+2)(2x−5)
How to write 9 and 15 thousandths in decimals
Answer:
0.915
Step-by-step explanation:
Order these numbers from least to greatest:
4[tex]\pi[/tex] , v18, 14, 9
Answer:
18,14,9
Step-by-step explanation:
enjoy
Margo borrows $1100, agreeing to pay it back with 6% annual interest after 6 months. How much interest will she pay?
Answer:
I'm guessing you mean 1% annual interest per month, so she would have to pay 11 dollars each month meaning she will pay 66 dollars in interest.
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Simplify The following completely:
[tex]\sqrt{48}[/tex]
Answer:
4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
HELPPP THIS IS SO HARD Keegan and Jeff did some research and found that there are approximately 7,492,000,000,000,000,000 grains of sand on Earth. Jeff says that it is about 7 × 10(15) grains of sand. Keegan says that this is about 7 × 10(18) grains of sand.
Guys please add the step by step so they dont know im cheating
Answer:
Keegan is correct.
Step-by-step explanation:
Keegan is correct.
Put a decimal point after the first digit which is 7. Count decimal places there are after the 7, this will be your power of 10. There are 18 decimal places after the 7. This means the answer would be 7 x 10^18.
Basically, Keegan is right
when you present 7,492,000,000,000,000,000 in standard form, it is indeed, 7×10¹⁸, the reason Jeff is wrong is because he only counted Os and not the numbers 492 which Keegan rounded to Os. Ok, to simply this 7×10¹⁵ equals 7 000 000 000 000 000, and 7×10¹⁸ is 7 000 000 000 000 000 000 while is closer to thee original answer than Jeff's response.
Please mark BRAINLIEST if you're satisfied with this explanations.
What is the value of x in the equation x - y = 30, when y = 15?
-
04
O 8
O 80
O 200
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Equation: }[/tex]
[tex]\rm{x - y = 30}[/tex]
[tex]\large\text{Solving: }[/tex]
[tex]\rm{x - y = 30}[/tex]
[tex]\rm{\rightarrow x - 15 = 30}[/tex]
[tex]\large\text{Add \boxed{15} to both sides:}[/tex]
[tex]\rm{x - 15 + 15 = 30 + 15}[/tex]
[tex]\large\text{Simplify it:}[/tex]
[tex]\rm{x = 30 + 15}[/tex]
[tex]\rm{x = 45}[/tex]
[tex]\large\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf x \frak{ = 45}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Not yet answered Tharu bought a refrigerator and paid Rs. 40,000 as a down payment. On delivery, she paid another Rs. 80,000 and owed 60% of the purchased price. What was the price of the refrigerator?
Rs. 250000 was the price of the refrigerator.
Let x represent the price of the refrigerator.
Since she made a Rs. 40,000 down payment. On delivery paid another Rs. 80,000 and owed 60% of the purchased price. Hence:
Total Money paid = 100% - 60% = 40% of purchased price
40000 + 60000 = 40% of x
100000 = 0.4x
x = Rs. 250000
Hence, Rs. 250000 was the price of the refrigerator.
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Assume this is a partial list of financial highlights from a Best Buy annual report (dollars in millions):
Net sales
2020 - $40,580
2019 - $35,475
Earnings before taxes
2020 - $2,291
2019 - $1,313
Net earnings
2020 - $1,378
2019 - $921
Find horizontal analysis and vertical analysis.
Value of Horizontal Analysis:
⇒ Net sales = 14.4%
⇒ Earnings before taxes = 74.4%
⇒ Net earnings = 49.6%
Value of Vertical Analysis;
⇒ Net sales = 100%
⇒ Earnings before taxes = 5.6%
⇒ Net earnings = 3.4%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Now, We can find as;
Horizontal Analysis:
Here, Calculate the dollar change by subtracting the previous year's figure from the current year's figure for each item:
Net sales = $40,580 million - $35,475 million
= $5,105 million increase
Earnings before taxes = $2,291 million - $1,313 million
= $978 million increase
Net earnings = $1,378 million - $921 million
= $457 million increase
Hence, Calculate the percentage change by dividing the dollar change by the previous year's figure and multiplying by 100 as;
Net sales = ($5,105 million / $35,475 million) x 100
= 14.4% increase
Earnings before taxes = ($978 million / $1,313 million) x 100
= 74.4% increase
Net earnings = ($457 million / $921 million) x 100
= 49.6% increase
And, Vertical Analysis:
Calculate the percentage of each item in relation to the net sales by dividing each item by the net sales and multiplying by 100:
Net sales = $40,580 million / $40,580 million x 100
= 100%
Earnings before taxes = $2,291 million / $40,580 million x 100
= 5.6%
Net earnings = $1,378 million / $40,580 million x 100
= 3.4%
Thus, Value of Horizontal Analysis:
⇒ Net sales = 14.4%
⇒ Earnings before taxes = 74.4%
⇒ Net earnings = 49.6%
Value of Vertical Analysis;
⇒ Net sales = 100%
⇒ Earnings before taxes = 5.6%
⇒ Net earnings = 3.4%
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Someone help plz tyyyy!
Answer:
When y=7,9 the answer is yes when it = -10,-8 the answer is no.
Step-by-step explanation:
Simple substitution gets us the resulting values. for y=7 we get [tex]15\geq 15[/tex] which is true. For y=9 we get [tex]19\geq 15[/tex] which is also true. For the other values we get a negative number which is not a solution.
20 points fast plzz!!! Bob fenced in his backyard. The perimeter of the yard is 22 feet, and the length of his yard is 5 feet. Use the perimeter formula to find the width of the rectangular yard in inches: P = 2L + 2W.
6 in.
12 in.
72 in.
144 in.
Answer:
The width of the rectangular yard is 72 inches
Step-by-step explanation:
Let
L -----> the length of the yard
W ----> the width of the yard
we know that
The perimeter is equal to
we have
substitute in the formula and solve for W
Divide by 2 both sides
Subtract 5 both sides
Convert feet to inches
Remember that
1 ft= 12 in
Step-by-step explanation:
The width of the rectangle is 6 feet or 72 inches if the perimeter of the yard is 22 feet, and the length of his yard is 5 feet.
What is rectangle?It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.
Perimeter of the rectangle :
P = 2L + 2W
L = 5 feet
22 = 2(5) + 2W
After calculating:
W = 6 feet
1 feet = 12 inches
6 feet = 72 inches
Thus, the width of the rectangle is 6 feet or 72 inches if the perimeter of the yard is 22 feet, and the length of his yard is 5 feet.
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A vendor who sold bread at farmers' markets counted the number of leftover loaves at the
end of each day.
Day
Loaves of leftover bread
Leftover loaves
Tuesday
22
Wednesday 24
Thursday
20
Friday
22
Saturday
27
According to the table, what was the rate of change between Wednesday and Thursday?
Answer:
Step-by-step explanation:
4 loaves
Answer:
- 4
Step-by-step explanation:
Given:
Wednesday = day 3 = 24 loavesThursday = day 4 = 20 loavesRate of change:
Difference in the number of loaves / difference in the number of days(20 - 24)/(4 - 3) =- 4/1 = - 4What is the y-intercept for the equation 4x+2y=6?
Answer:
The y intercept is 3
(0,3)
Step-by-step explanation:
4x+2y=6
To find the y intercept, set x =0 and solve for y
4(0) +2y = 6
0+2y = 6
Divide by 2
2y/2 = 6/2
y =3
The y intercept is 3
(0,3)
What is the value of b?
b
B+42
B-20
Answer:
i think its 62
Step-by-step explanation:
that's my best guess I'm so sorry if its wrong I tried
simplify the expression
90 + 4B - 2B - 7B
Simplify the expression
90 + 4B - 2B - 7B
Already in like terms, therefore
90+2B-7B
90-5B
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Sun company has studied the collection pattern of sales for the past year and management has developed the following collection schedule:
55 percent in the month of sale with a 1 percent discount
30 percent in the month of sale
15 percent in the second month following the sale
Actual sales for past six months are:
January $200,100
February 220,450
March 300,700
April 251,200
May 275,890
June 180,460
Expected sales for the next six months are:
July $175,800
August 194,500
September 186,300
October 210,750
November 349,000
December 375,900
A) Determine the expected cash receipts by the month for July through September
B) Determine the expected cash discounts by month for July through September
C) Determine the expected ending balance of accounts receivable by the month of July through September
A) The determination of the expected cash receipts from July to September is as follows:
July Aug. Sept.
Expected Sales $175,800 $194,500 $186,300
Cash (55%) 96,690 106,975 102,465
1% discount 967 1,070 1,025
Net cash sales 95,723 105,905 101,440
30% month 1 52,740 58,350 55,890
15% month 2 27,069 26,370 29,175
Total cash receipts $175,532 $190,625 $186,505
B) The determination of the expected cash discounts from July to September is as follows:
July Aug. Sept.
Expected Sales $175,800 $194,500 $186,300
Cash (55%) 96,690 106,975 102,465
1% Cash Discounts $967 $1,070 $1,025
C) The determination of the expected ending balance of accounts receivable from July to September is as follows:
July Aug. Sept.
Expected Sales $175,800 $194,500 $186,300
Ending balance of
Accounts Receivable $26,370 $29,175 $ 27,945
= 15% of July, August, and September Sales
Data and Calculations:
July Aug. Sept. Oct. Nov. Dec.
Expected
Sales $175,800 $194,500 $186,300 $210,750 $349,000 $375,900
Cash (55%) 96,690 106,975 102,465 115,913 191,950 206,745
1% discount 967 1,070 1,025 1,159 1,920 2,067
Net cash sales 95,723 105,905 101,440 114,754 190,030 204,678
30% month 1 52,740 58,350 55,890 63,225 104,700 112,770
15% month 2 27,069 26,370 29,175 27,945 31,613 52,350
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