Two side lengths of a triangle are 30.9 inches and 42.0 inches. the sides meet at a 19degree angle. What is the area of the triangle?
Step-by-step explanation:
A=hbb
=42· 0 x30.9
=648.9
Express the distance 4,300,000 meters using scientific notation in meters, and then in millimeters.
Answer: 4.3 × 10^6 meters, and 4.3 × 10^9 millimeters.
Explanation: In order to find the scientific notation of a large number, you want to move the decimal point to the left until you only have one digit to the left of the number, then you can count the spaces you have moved, and this will make the power of 10 that you'll add to the end. This seems a little confusing, but let's look at it through the example.
Step 1) Move the decimal point to the left until there's only one digit to the left of the decimal:
4,300,000 turns into 4.300000
Step 2) Count the number of digits you've moved.
Above, we moved 6 spaces to the left.
Step 3) Add the decimal to the front, and then 10^the number of spaces you moved
4.3 (from step one) × 10^6 (from step two)
= 4.3 × 10^6
It works the same way for the millimeter question, just convert meters into millimeters before you start the problem, and then solve it using the steps above! I hope this helped you :)
The scientific notation in meters and millimeters are
- 4.3 x [tex]10^{6}[/tex] meters
- 4.3 x [tex]10^{9}[/tex] millimeters
What is scientific notation?It is a way of writing very large or very small numbers where a number between 1 and 10 is multiplied by a power of 10.
Example:
310,000,000 can be written in scientific notation as 3.1 ✕ 10^8.
We have,
Distance = 4,300,000 meters
1 meter = 1000 millimeters
So,
4,300,000 meters = 4,300,000,000 millimeters
We can write 4,300,000 in scientific notation as:
= 4.3 x [tex]10^{6}[/tex] meters
We can write 4,300,000,000 millimeters in scientific notation as:
= 4.3 x [tex]10^{9}[/tex] millimeters
Thus the scientific notation in meters and millimeters are
- 4.3 x [tex]10^{6}[/tex] meters
- 4.3 x [tex]10^{9}[/tex] millimeters
Learn more about scientific notations here:
https://brainly.com/question/18073768
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A line that includes the points (k, 0) and (3,-2) has a slope of -2. What is the value of k?
k =
Submit
9514 1404 393
Answer:
k = 2
Step-by-step explanation:
The slope formula gives the slope between two points:
m = (y2 -y1)/(x2 -x1)
-2 = (-2 -0)/(3 -k)
Multiplying by (3 -k) gives ...
-2(3 -k) = -2
3 -k = 1
k = 3 -1 = 2
The value of k is 2.
solve the attached question.
NO spam!
Step by step explanation needed!
Step-by-step explanation:
hi I need help please, you can help me?
Hi! ❤️ Pls help here thanksThe figure shows two parallel lines cut by a transversal.
What is the value of x?
x =
Answer:
x = 33
Step-by-step explanation:
Note that there are two parallel lines cut by a transversal (given).
The two angles given are corresponding angles, meaning that there measurements will be the same. Set the equation:
124 = 4x - 8
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, add 8 to both sides of the equation:
124 = 4x - 8
124 (+8) = 4x - 8 (+8)
124 + 8 = 4x
132 = 4x
Next, divide 4 from both sides of the equation:
(132)/4 = (4x)/4
x = 132/4
x = 33
33 is your answer.
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if a+b=6 and ab=9 find the value of a3+b2
What is the maximum increase in sales that can be sustained assuming no new equity is issued
Answer:
Example 1 is 25%
Example 2 is 3.5%
Example 3 could be $10,464.41 See attached.
Step-by-step explanation:
Example 1
An increase of sales to $9,500 is an increase of:
Sales increase = ($9,500 - 7,600) / $7,600
Sales increase = .25, or 25%
Assuming costs and assets increase proportionally, the pro forma financial statements will look like this:
Pro forma income statement Pro forma balance sheet
Sales $ 9,500.00 Assets $ 23,875.00 Debt $ 7,000.00
Example 2.
Return on equity (ROE) is a measure of financial performance calculated by dividing net income by shareholders' equity. Because shareholders' equity is equal to a company’s assets minus its debt, ROE is considered the return on net assets. ROE is considered a gauge of a corporation's profitability and how efficient it is in generating profits.
Example below given on 2nd example is 60% payout ratio type question with constant debt equity ratio.
Return on equity 34008 / 90400 = 0.37619469
A / S = $ 34,008 / $ 90,400 = 37.6%
L / S = $ 9,040 / $ 90,400 = 10%
Change in Sales or ΔSales = $ a - $ 90.400 = $ b
EFN = (.376 x $ b) - (.10 x $ b ) - ((profit margin x $ a) x (1 - .dividend payout ratio))
Formula EFn = 0 = full subtraction of EFN
Example 3 - Calculation of the EFN:
Total Assets last year = $ 6.5 Million
Total Sales last year = $ 21.0 Million
Total Current Liabilities last year = $ 2.1 Million
Profit Margin = 4% of sales
Forecasted Sales = $ 24.5 Million
Dividend Payout Ratio or d = 60%
A / S = $ 6.5 / $ 21.0 = 31%
L / S = $ 2.1 / $ 21.0 = 10%
Change in Sales or ΔSales = $ 24.5 - $ 21.0 = $ 3.5
EFN = (.31 x $ 3.5) - (.10 x $ 3.5) - ((.04 x $ 24.5) x (1 - .60))
EFN = $ 1.085 - $ .35 - ($ .98 x .40)
EFN = $ .735 - $ .392
EFN = $ .343
What is 9,403.053 rounded to the nearest hundredth
Answer:
9,403,100
Step-by-step explanation:
just round it to the nearest 100
In the function y-1 = (4x)² + 7, what effect does the number 4 have on
the graph, as compared to the graph of y = x^2?
A. It stretches the graph vertically by a factor of 4.
B. It shrinks the graph vertically to 1/4 the original height.
C. It stretches the graph horizontally by a factor of 4.
D. It shrinks the graph horizontally to 1/4 the original width.
Answer:
D. It shrinks the graph horizontally to 1/4 the original width.
Step-by-step explanation:
f(px): |p|>1 horizontal compression (x,y) -> (x/p , y)
determine the domain and range of the function F= {(2,1),(30,-7),(34,1),(54,0)
Answer:
Domain = 2,30,34,54
Range = 1,-7,1,0
Step-by-step explanation:
Domain = x input
Range = y output
Your function is f(x) = y.
What is 49.4x20.62 rounded to the hundredths
Answer:
1018.600 I think SORRY IF I'M WRONG!!!
Step-by-step explanation:
Answer:
1018.620 and u r correct my guy
Please help me!!
The formula to find the kinetic energy of an object measured in joules,E, is E=1/2mv2, where m represents the mass of the object in kilograms and v represents the velocity (or speed) of the object in meters per second. What is the equation to find m in terms of E and v ?
Thank you very much!!
Answer:
E=1/2mv2, v/10./17
Step-by-step explanation:
i need brainlest <3janelle earns $9 an hour and works 25 hours per week. 26% of her pay goes towards taxes. she is hoping to buy her first car 8 months from now for $3,200. Write a smart goal for janelle so she will know how much money to set aside each month in order to reach her goal.
Answer:
25
Step-by-step explanation:
Miya plans to visit her sister over the summer. On a map, her house is 2 inches from her sister’s house. If the map uses a scale of 1 inch = 18 miles, how many total actual miles would Miya travel on her trip to and back from her sister’s house?
HELP FAST HELP FAST THIS IS DUE
Answer:
72 miles
Step-by-step explanation:
18x2x2
In a trial, an expert witness uses the conservation of momentum to demonstrate which initial velocities would give the final states that occurred in the accident. Can using the conservation of momentum be justified in this case? Yes, because momentum is conserved in all collisions. No, momentum is only conserved in elastic collisions which this is not. No, energy is always conserved, but momentum is only sometimes conserved. Yes, because momentum is conserved in inelastic collisions which all car accidents are.
Answer:
Yes, because momentum is conserved in all inelastic collisions which all car accidents are
Step-by-step explanation:
What is law of conservation of momentum?
It states that In a equilibrium the initial momentum is equal to to the final momentum of the body
Or
[tex]\\ \sf\longmapsto \Delta P=P[/tex]
Answer:
• Yes, because momentum is conserved in all collisions.
Step-by-step explanation:
→ Elastic collision, inelastic collision and perfectly inelastic collision, linear momentum is conserved assuming no external forces acting on the system.
In elastic collision
[tex] \dashrightarrow \: { \tt{m _{1}u _{1} + m _{2} u_{2} = m_{1}v_{1} + m_{2}v_{2}}} \\ [/tex]
In inelastic collision
[tex] \dashrightarrow \: { \tt{m_{1}u_{1} + m_{2}u_{2} = (m_{1} + m_{2})v}}[/tex]
Determine the value of x.
A)
[tex]8 \sqrt{3} [/tex]
B) 4/
[tex] \sqrt{3} [/tex]
C) 4
D
[tex] 4\sqrt{3} [/tex]
Find the measure of the missing angles.
Sabrina bought cookies and brownies for her party. She bought a total of 20 items. The cookies cost $1.50 each and the brownies cost $1 each. The total amount that she spent was $22.50. Write two equations to represent the situation. Use x for cookies and y for brownies.
Solve the equations and determine how many cookies and brownies she bought. Write the answer as an ordered pair. (x,y)
Answer:
Equation 1 is:
Step-by-step explanation:
Solve this equation to determine the number of solutions 3(2 + 4) - 2 = 2(2x + 5) - 2 Plsss help its do today and I leave for school in 20 minutes I have one more question after this!
Answer:
duh
Step-by-step explanation:
12−x2y if x=−7 and y=2
Answer:
the answer is 16 im pretty sure
need help with this please
Answer: plug 32 in for m
Step-by-step explanation:
Find the LCM for 5,9
Answer:
45 :)
Step-by-step explanation:
Solve using elimination.
8x − 7y = –5
–x + 4y = –15
Answer:
Therefore, the values of "x" and "y" are -1000/312 and -115/39 respectively.
Step-by-step explanation:
★ Solution :-[tex] \sf \leadsto 8x - 7y = -5 - - - (i)[/tex]
[tex] \sf \leadsto -x + 4y = -15 - - - (ii)[/tex]
By first equation,
[tex] \sf \leadsto 8x - 7y = -5[/tex]
[tex] \sf \leadsto 8x = -5 + 7y[/tex]
[tex] \sf \leadsto x = \dfrac{-5 + 7y}{8} [/tex]
Now, we can find the original value of y.
[tex] \sf \leadsto -x + 4y = -15[/tex]
[tex] \sf \leadsto \bigg( \dfrac{-5 + 7y}{8} \bigg) + 4y = -15[/tex]
[tex] \sf \leadsto \dfrac{-5 + 7y}{8} + 4y = -15[/tex]
[tex] \sf \leadsto \dfrac{-5 + 7y + 32y}{8} = -15[/tex]
[tex] \sf \leadsto \dfrac{-5 + 39y}{8} = -15[/tex]
[tex] \sf \leadsto -5 + 39y = -15(8)[/tex]
[tex] \sf \leadsto -5 + 39y = -120[/tex]
[tex] \sf \leadsto 39y = -120 + 5[/tex]
[tex] \sf \leadsto 39y = - 115[/tex]
[tex] \sf \leadsto y = \dfrac{ - 115}{39} [/tex]
Now, we can find the original value of x.
[tex] \sf \leadsto 8x - 7y = -5[/tex]
[tex] \sf \leadsto 8x -7 \bigg( \dfrac{ - 115}{39} \bigg) = -5[/tex]
[tex] \sf \leadsto 8x + \dfrac{805}{39} = -5[/tex]
[tex] \sf \leadsto \dfrac{312x + 805}{39} = -5[/tex]
[tex] \sf \leadsto 312x + 805 = -5(39)[/tex]
[tex] \sf \leadsto 312x + 805 = -195[/tex]
[tex] \sf \leadsto 312x = -195 - 805[/tex]
[tex] \sf \leadsto 312x = -1000[/tex]
[tex] \sf \leadsto x = \dfrac{-1000}{312} [/tex]
[tex]\textsf {\underline{Answer-}}\\[/tex]
Therefore, the values of x and y are -1000/312 and -115/39 respectively.
pls help asap!!!!!!!!
Answer: 41
Step-by-step explanation:
The horizontal line beneath the angle created is always 180 degrees. Because you are given two equations for each angle created, simply write: 180= (3x-3) +(x+19). This gives you 4x+16=180, of which you subtract 16 to 180 which gives you 164. Finally, divide both sides by 4: 4x/4=164/4 and you will get 41. Hopefully I was of aid to you.
Leon and Thomas have the same number of cherries. Leon eats 5 of his cherries and has 12 cherries left. Thomas eats 9 of his cherries. How many cherries does Thomas have left?
Please help ! Anyone know the answer?
Answer: a
Step-by-step explanation:
9) What 2 numbers have a total of 28 and a difference of 6?
Answer:
Sum: 17 + 11 = 28
Difference: 17 - 11 = 6
Step-by-step explanation:
The sum of x and y is 28. In other words, x plus y equals 28 and can be written as equation A:
x + y = 28
The difference between x and y is 6. In other words, x minus y equals 6 and can be written as equation B:
x - y = 6
Now solve equation B for x to get the revised equation B:
x - y = 6
x = 6 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 28
6 + y + y = 28
6 + 2y = 28
2y = 22
y = 11
Now we know y is 11. Which means that we can substitute y for 11 in equation A and solve for x:
x + y = 28
x + 11 = 28
X = 17
Summary: The sum of two numbers is 28 and their difference is 6. What are the two numbers? Answer: 17 and 11 as proven here:
Sum: 17 + 11 = 28
Difference: 17 - 11 = 6
Answer:
17 +11 = 28
hope this helps
Use the given property of equality to complete the statement. Reflexive Property of Equality b + 5 + 12 =
Answer:
b=-17
Step-by-step explanation:
1) add common terms aka 5 and 12, which is 17
b+17=0
2) move seventeen to the other side by doing the opposite opperation of addition which is subtraction
b=-17
PLEASE HELP WILL MARK BRAINLIEST!!TY!!
Answer:AB = 5/2 and CD = 2/-5, perpendicperpendicular
Step-by-step explanation:
0+5 = 5
2+2=4
1+2=3
8-5=3
In ΔPQR, r = 640 inches, q = 310 inches and ∠Q=30°. Find all possible values of ∠R, to the nearest degree.
Answer:
No Possible Triangles
Step-by-step explanation:
sinA/a = sinB/b
From the reference sheet (reciprocal version).
sinR/640 = sin30/310
Plug in values.
sinR= (640 (sin30))/ 310≈1.0322581
Evaluate.
R=sin −1 (1.0322581)=ERROR
Sine cannot be greater than 1.