In JKL, J = 7.9 inches, K = 2 inches and L =9.8 inches. Find the measure of K to the nearest degree
Answer:
4
Step-by-step explanation:
Delta math
The measure of K to the nearest degree is 4°.
What is the laws of cosines?The law of cosines, commonly referred to as the cosine rule or the cosine formula, in trigonometry essentially connects the length of the triangle to the cosines of one of its angles. It claims that we can determine the length of the third side of a triangle if we know the length of the first two sides and the angle between them.
Given ΔJKL,
j = 7.9 inches, k = 2 inches, l = 9.8 inches
to find the measure of angle K,
we can calculate the angle by cosine law,
cosK = (j² + l² - k²)/(2.j.l)
cosK = (7.9² + 9.8² - 2²)/(2*7.9*9.8)
cosK = 154.45/154.81
K = cos⁻¹(0.99748)
K = 4.067⁰ ≈ 4°
Hence angle K is 4°.
Learn more about the laws of cosines;
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36+54 as a product please help i do not have any idead of hat this is
Answer:
90
Step-by-step explanation:
Select ALL the statements that are true.
a
The radius of a circle is two times larger than the diameter.
b
The diameter of a circle is two times larger than the radius.
c
The diameter is half the radius of a circle.
d
The radius is half the diameter of a circle.
Answer:
a b d are true statement ..............
each marble bag sold by Yoko's Marble Company contains 5 yellow marbles for every 6 red marbles. If a bag has 42 red marbles, how many yellow marbles does it contain?
sorta need answer asap
PLS HELP I TRIED GETTNIG BETTER PHOTOS THIS TIME
Answer:
ADD MORE POINTS THEN WE CAN TALK HUN
Step-by-step explanation:
Answer: )*39082[938[928
2- Mert 423 sayfalık kitabın 7
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9
sini okumuş. Oku-madığı kac sofa kalmıştır?
Leon constructed a point P that divides the directed segment from A to B in the ratio 2 to 1. Chelsea
constructed a point that divides the directed segment from B to A In the ratio 1 to 2. How are points P
and Q related? Explain.
Points P and Q are (select) whpoint P is (select) vl of the distance from A to B.Point Q is
(select) of the distance from B to A. The means the points lie (select) location along the line
segment.
Answer:
The answer is below
Step-by-step explanation:
Leon constructed a point P that divides the directed segment from A to B in the ratio 2 to 1. Chelsea constructed a point Q that divides the directed segment from B to A in the ratio 1 to 2. How are points P and Q related? Explain.
Points P and Q are...
A.) two units apart. B.) the same point. C.) one unit apart.
Point P is ___ of the distance from A to B. [ A.) 2/3 B.) 1/2. C.) 1/3. ]
Point Q is of the distance from B to A. [ A.)1/3 B.). 1/2 C.)2/3. ]
The means the points lielocation along the line segment.
[ A.) At the same B.)At a different
Solution:
Since point P is divides the segment from A to B in the ratio 2 to 1 therefore:
P = 2/3 of the distance from A to B.
Since point Q is divides the segment from B to A in the ratio 1 to 2, therefore:
Q = 1/3 of the distance from B to A
2/3 of the distance from A to B = 1/3 of the distance from B to A
Therefore point P and point Q lie along the same line segment from A to B (or B to A) and the points P and Q are at the same point,
Presented below are the financial statements for the Amphlett Corporation, as of year-end 2012 and 2013.
AMPHLETT CORPORATION
Consolidated Balance Sheets
As of Year-End ($ thousands) 2013 2012
Assets
Current
Cash $18,000 $108,000
Marketable securities 240,000 -
Accounts receivable (net) 708,000 528,000
Inventory 720,000 738,000
Total current assets 1,686,000 1,374,000
Noncurrent
Long-term investments 372,000 468,000
Property & equipment 2,160,000 1,320,000
Less: Accumulated depreciation (600,000) (600,000)
Property & equipment (net) 1,560,000 720,000
Intangibles (net) 114,000 126,000
Total noncurrent assets 2,046,000 1,314,000
Total assets $3,732,000 $2,688,000
Liabilities & Shareholders' Equity
Accounts payable $1,080,000 $1,020,000
Short-term bank debt 228,000 -
Total liabilities 1,308,000 1,020,000
Shareholders' equity
Common stock, $10 par value 930,000 810,000
Additional paid-in-capital 456,000 360,000
Retained earnings 1,038,000 498,000
Total shareholders' equity 2,424,000 1,668,000
Total liabilities & shareholders' equity $3,732,000 $2,688,000
AMPHLETT CORPORATION
Consolidated Income Statement
For Year Ended ($ thousands)
2013
2012
Revenues
$1,716,000
$1,440,000
Less: Cost of goods sold
600,000
504,000
Gross margin
1,116,000
936,000
Less: Selling, general & administrative expenses
180,000
144,000
Operating income
936,000
792,000
Gain on sale of investments
84,000
-
Net income before taxes
1,020,000
792,000
Less: Income taxes
60,000
13,200
Net income after taxes
$960,000
$778,800
The footnotes to the Amphlett Corporation's financial statements revealed the following additional information:
Property and equipment costing $540 million was sold for its book value of $240 million.
Long-term investments were sold for $180 million, which included a gain of $84 million.
Required
Using the above financial data for the Amphlett Corporation, prepare the firm's statement of cash flow for 2013 using the indirect method.
Use a negative sign with answers to indicate a decrease in cash.
Amphlett Corporation
Statement of Cash Flows
For Year Ended 2013
(in thousands)
Cash flow From Operations BLANK
Net Income $Answer
Add:
Depression Expense Answer
Amortization expense Answer
Less:
Gain on Sale of Investments Answer
Accounts receivable (net) Answer
Inventory Answer
Accountable Payable Answer
Cash Flow From Operations Answer
Cash Flow for Investing BLANK
Marketable securities Answer
Long-term investments Answer
Purchase of property and equipment Answer
Sale of Property and Equipment Answer
Cash Flow for Investing Answer
Cash From Financing BLANK
Short-term bank debt Answer
Common stock + additional paid in capital Answer
Dividends Paid Answer
Cash From Financing Answer
Decrease in Cash Answer
Cash, beginning of year Answer
Cash, end of year $Answer
Answer:
For Year Ended 2013
(in thousands)
Cash flow From Operations BLANK
Net Income 792,000
Add:
Depression Expense 300,000
Amortization expense 12,000
Less:
Gain on Sale of Investments
Accounts receivable (net) -180,000
Inventory 18,000
Accountable Payable Answer 60,000
Cash Flow From Operations 1,002,000
Cash Flow for Investing
Marketable securities -240,000
Long-term investments 96,000
Purchase of property and equipment -1,380,000
Sale of Property and Equipment 280,000
Cash Flow for Investing -1,244,000
Cash From Financing
Short-term bank debt 228,000
Common stock + additional paid in capital 96,000
Dividends Paid 8,000
Cash From Financing 332,000
Decrease in Cash 90,000
Cash, beginning of year 18,000
Cash, end of year 108,000
108,000
0
Step-by-step explanation:
Assets
Current
Cash $18,000 $108,000
Marketable securities 240,000
Accounts receivable (net) 708,000 528,000
Inventory 720,000 738,000
Total current assets 1,686,000 1,374,000
Noncurrent
Long-term investments 372,000 468,000
Property & equipment 2,160,000 1,320,000
Less: Accumulated depreciation -600,000 -600,000
Property & equipment (net) 1,560,000 720,000
Intangibles (net) 114,000 126,000
Total noncurrent assets 2,046,000 1,314,000
Total assets $3,732,000 $2,688,000
Liabilities & Shareholders' Equity
Accounts payable $1,080,000 $1,020,000
Short-term bank debt 228,000
Total liabilities 1,308,000 1,020,000
Shareholders' equity
Common stock, $10 par value 930,000 810,000
Additional paid-in-capital 456,000 360,000
Retained earnings 1,038,000 498,000
Total shareholders' equity 2,424,000 1,668,000
Total liabilities & shareholders' equity $3,732,000 $2,688,000
AMPHLETT CORPORATION
Consolidated Income Statement
For Year Ended ($ thousands) 2013 2012
Revenues $1,716,000 $1,440,000
Less: Cost of goods sold 600,000 504,000
Gross margin 1,116,000 936,000
Less: Selling, general & administrative expenses 180,000 144,000
Operating income 936,000 792,000
Gain on sale of investments 84,000
Net income before taxes 852,000 792,000
Less: Income taxes 60,000 13,200
Net income after taxes $792,000 $778,800
For Year Ended 2013
(in thousands)
Cash flow From Operations BLANK
Net Income 792,000
Add:
Depression Expense 300,000
Amortization expense 12,000
Less:
Gain on Sale of Investments
Accounts receivable (net) -180,000
Inventory 18,000
Accountable Payable Answer 60,000
Cash Flow From Operations 1,002,000
Cash Flow for Investing
Marketable securities -240,000
Long-term investments 96,000
Purchase of property and equipment -1,380,000
Sale of Property and Equipment 280,000
Cash Flow for Investing -1,244,000
Cash From Financing
Short-term bank debt 228,000
Common stock + additional paid in capital 96,000
Dividends Paid 8,000
Cash From Financing 332,000
Decrease in Cash 90,000
Cash, beginning of year 18,000
Cash, end of year 108,000
108,000
0
what is the complement of 3/8?
Which of these graphs represents the inequality x <10
Answer:
There are no graphs, but the graph should look lyke this:
An open circle on the point "10"
And from the 10, the arrow should be going left, towards the negatives, or smaller numbers than the ten
A company claims that their new bottle holds 25% more laundry soap. If their original container held 42 fluid ounces of soap, how much does the new container hold?
The new container holds ___ fluid ounces.
HELP PLEASE. <3.
Answer:
52,5
It holds 10.5 more laundry soap
Mr. Robles has two kinds of fruit in his basket. The ratio of
apples to oranges in the basket is 3:4.
If there are 9 apples, how many pieces of fruit are in his basket?
A. 21
B. 8
C. 38
D. 12
A. 21
I just took my exam and got it right.
A boa is 3 meters long. A python is 197 centimeters long. Which snake is longer? + O boa O python How much longer cm
Answer:
the boa is longer by 103 cm
Step-by-step explanation:
3 m = 300 cm
300 - 197 = 103
Answer:
the boa...
Step-by-step explanation:
convert meters to centimeters then compare the numbers.
What is the degree of ADB
1.112°
2.86°
3.65°
4.68°
Answer:
I think it’s 1
Step-by-step explanation:
Because it’s a right triangle and it’s equal to 90° So
and 2,3,4 is less than 90 so
Решите уравнение: а) 6x = 18;
б) –3x = 15; в) 7x = -63;
г) 5x - 3 = 12; д) — 4х + 1 = 13; е) -x+ 9 = 16.
Answer:
6x=18
x=18/6
x=3.
-3x=15
x=15/-3
x=-5
7x=-63
x=-63/7
x=-9
5x-3=12
5x=12+3
5x=15
x=15/5
x=3
-4x+1=13
-4x=13-1
-4x=12
x=12/-4
x=-3
-x+9=16
-x=16-9
-x=7
x=7/-1
x=-7
triple u, then raise the result to the 5th power
Answer:
243u⁵
Step-by-step explanation:
you need to put it in brackets then expand
(3u)⁵ = 243u⁵
Answer:
243u^5.
Step-by-step explanation:
Triple u = 3u.
Taking to power 5
= (3u)^5
= 243u^5.
10-4+9/3=9 true or false
Answer:
False
Step-by-step explanation:
Because 10 - 4 = -6
Not 3
Answer:
true
Step-by-step explanation:
first you do the division
10-4+9/3
10-4+3
then you do addition or subtraction in left-to-right order
6+3
9
so it's true
Please help me 10 points reward
Answer:
Step-by-step explanation:
I re wrote the question so its easier to understand. You should now be able to solve this problem using simple math.
3² + (3×8) ÷ 2 - (2×5)
work it out in steps, using the acronym PEMDAS <3
Help me pls! this is due tonite . I'm doing a ged practice test and I just have a few questions I haven't answered
When 36x⁴ + 12x⁸ is divided by 12x⁴ the result is:
A) 3+12x8
B)3+x⁴
C)3x+x²
Answer:
Step-by-step explanation:
36x⁴ /12x⁴ + 12x⁸ / 12x⁴
3x+x²
Anna worked out at a gym for 2 hours.
Her workout included stretching for 21
minutes, jogging for 45 minutes, and
lifting weights for the remaining amount
of time. What percentage of Anna's
workout was spent lifting weights?
Answer:
! not sure if correct !
Step-by-step explanation:
54% of anna's workout was lifting weight
Answer:
45%
Step-by-step explanation:
21+45=66=1 hour 6 mins
2 hours=120 min
120-66=54
(54/120)x100=45 45%
what is 99 time 6
[tex]99 \times 6[/tex]
Answer:
594
Step-by-step explanation:
i have to do a number graph using fractions I dont know how
Answer:
What kind of graph?
Use the Distributive Property to determine which of the following statements is equivalent to 5(2a – 3b).
7a – 8b
10a – 15b
5ab
10a – 3b
Answer:
Step-by-step explanation:
10a-15b
Jollys scores for the first 3 quarters of the school year were 82, 94, and 88. ahe wants to get an average of 90 for this year. What must her 4th quarter score be?
Answer:
96
Step-by-step explanation:
You add the scores, add 96, divide by 4 and you get 90.
Find the perimeter of the following shape please I’ll give Brainly
Answer:
33 is the p
Step-by-step explanation:
Answer:
the perimiter of the shape is 36in
Which statements are true? Check all that apply.
-EH is parallel to FG.
-EF is perpendicular to EH.
-HG is neither parallel nor perpendicular to FG.
-Quadrilateral EFGH is a rectangle because it is a
parallelogram with four right angles.
-Quadrilateral EFGH is a trapezoid because it has
exactly one pair of parallel opposite sides.
THE ANSWER IS THE 2ND ND 3RD ONE
Answer:
D- Did you already answer it at the bottom?
Also, in order for someone to answer this, we would need an image showing the different line-thingys. (I forget what they are called)
Step-by-step explanation:
Answer:
B, C
Step-by-step explanation:Just did it on edg
help plz I don't know the answer plz really answer it
Answer:
She needs to run 1/2 mile on Saturday.
Step-by-step explanation:
Hope this helps!!
an exterminator charge $80 to visit a home and $35 to spray each room. Of the total bill was $394, how many rooms were sprayed?
Answer:
The answer is $8.97 per room
Step-by-step explanation:
394-80=314
314 divided by 35=
$8.97
A certain department store keeps track of an age and an annual income of customers who have its credit card. From a sample of 820 of such customers the following descriptive statistics had been obtained: the average age was 41 years with the standard deviation of 16 years and the average annual income was $37,290 with the standard deviation of $2,850. The correlation between the age the annual income was found to be 0.34. Answer the following questions. (Round your answers to 2 places after the decimal point).
Calculate the value of a slope.
a) 309.23 $ per year of age
b) 60.56 $ per year of age
c) 192.43$ per year of age
d) None of the above
Answer: b) $60.56 per year of age
Step-by-step explanation: If the scatterplot of two variables shows a line and the correlation between them is strong, we can calculate a regression line.
Regression line is a line graph that best fits the data. Like any other line, its formula is given by
y = mx + b
with
m being the slope
b the y-intercept
The slope of the line, correlation and standard deviations of the two variables have the following relationship:
[tex]m=r\frac{S_{y}}{S_{x}}[/tex]
where
r is correlation
[tex]S_{y}[/tex] is standard deviation for the y data
[tex]S_{x}[/tex] is standard deviation for the x data
For our problem:
r = 0.34
[tex]S_{y}=[/tex] 2850
[tex]S_{x}=[/tex] 16
Calculating
[tex]m=0.34(\frac{2850}{16})[/tex]
m = 60.56
Slope for the regression line of annual income per year of age is 60.56.