Answer:
Arranging from longest (at top) to shortest (at bottom)
DF
EF
DE
Step-by-step explanation:
We need to place the sides of triangle DE, DF and EF from longest to shortest.
The triangle has longest side that is opposite to the largest angle
We know two angles < E= 61° , <F= 59° we need to find <D
Sum of angles of triangle = 180°
So, 61°+59°+<D=180°
120°+<D=180°
<D=180°-120°
<D=60°
So, the largest angle is <E= 61°
The longest side must be opposite to <E so, the side is DF
The second largest angle is <D=60° so, second side will be EF
The smallest angle is <F=59° so, third (shortest) side will be DE
Arranging from longest (at top) to shortest (at bottom)
DF
EF
DE
Expand and simplify 6(2x - 3) -2 (2x + 1)
Answer:
8x-20
Step-by-step explanation:
help no good at maths
Need help will mark brainliest
Answer:
x=18
Step-by-step explanation:
Add up all the angles and then equal them to 180
6x+3x+x=180 Simplify!
10x=180
x=18
Find the midpoint of the line segment joining the points (9,2) and (-3,-2)
Answer:
(3,0)
Step-by-step explanation:
The midpoint formula is as follows:
[tex]( (x1+x2) /2, (y1 + y2) /2 )[/tex]
x1 would be 9, x2 would be -3, y1 would be 2, y2 would be -2. When plugged in, you should get 6/2, and 0/2 for y. When simplified, x would be 3 and y would be 0. This means that the midpoint of the line segment is (3,0)
If –y + 2x^2 – x = -5y^3 then find dy / dx in terms of x and y.
Answer:
dy/dx = [tex]\frac{4x-1}{1-15y^{2} }[/tex]
Step-by-step explanation:
-y + 2x²- x = -5y³
2x² - x = y - 5y³
4x - 1 = dy/dx - 15y².dy/dx
dy/dx(1 - 15y²) = 4x - 1
dy/dx = [tex]\frac{4x-1}{1-15y^{2} }[/tex]
Graham has enough fencing to enclose a rectangular garden with a perimeter of 140 feet. If the width of his garden is 20 feet less than the length, what is the width of the garden?
Answer:
Width = 25 feet
Step-by-step explanation:
Perimeter of a rectangle = 2L + 2W
W = L - 20
P = 140
Hence,
140 = 2L + 2(L - 20)
140 = 2L + 2L - 40
Collect like terms
140 + 40 = 4L
180 = 4L
L = 180/40
L = 45 feet
Length = 45 feet
Width = L - 20 feet
=( 45 - 20) feet
= 25 feet
can someone convert that to point slope form and tell me the steps?
Find the rate of change
(Pls help!)
Answer: 11.5
Step-by-step explanation:
It’s delta y over delta x so you would take any two combination of coordinates and subtract and divide. I used 57.50-23 over 5-2... this gets you 34.5 over 3. This is also equal to 11.5 :)
It takes Taylor hour to make of a batch of cookies. About how long will it take him to make 8 batches?
A.
1.1 hours
B.
3.6 hours
C.
5.4 hours
D.
7.2 hours
Answer:
7.2 I think, closest to 8 hours?
g(x) = 9(2x2 + 6
)
Determine g(1)
Answer:
g(1) = 72
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
g(x) = 9(2x² + 6)
g(1) is x = 1
Step 2: Solve
Substitute: g(1) = 9(2(1)² + 6)Evaluate: g(1) = 9(2(1) + 6)Multiply: g(1) = 9(2 + 6)Add: g(1) = 9(8)Multiply: g(1) = 72find x (11x-1) (20x-3) 151
Answer:
x=5 I think
Step-by-step explanation:
just search it up online
If a = -9 and b = 4, what is the value of a + b ?
A. -5
B. 5
C. -13
D. 13
Answer:
A. -5
Step-by-step explanation:
-9 + 4 = -5
hope this helps
Nathan writes an essay with a total of 583 words. Every line of his essay has 11 words.
How many lines long is Nathan's essay?
Answer:
53 lines
Step-by-step explanation:
You would divide 583 by 11, and that would get you your final answer of 53 lines.
Answer:
53 lines
Step-by-step explanation:
11 words → 1 line
583 words → (1/11 x 583) lines = 53 lines
Find the square root of 36 by prime factorisation
method
Answer:
36
2×18
2×9×2
2×2×3×3
6²
=> square root of 36 =6
Mr. Johnson has a piece of pipe 5 1/3 feet long. He decides to cut it into 3 equal pieces to use in making a railing for his porch. How long should he cut each piece?
HURRY!!! WILL GIVE ALOT OF POINT AND BRAINLIEST
Answer:
1.78
Step-by-step explanation:
7 is repeating but i rounded to the tenths its this. also, i just divided it by three because he cuts into three parts.
Charlie graphs the equation y= –12x+2 .
Select all statements about Charlie's graph that are true.
The graph is a straight line.
The line does not pass through the origin.
The line passes through the point (0, –2) .
The slope of the line is 12 .
The y-intercept of the line is 2.
Answer:
The graph is a straight line.
The line does not pass through the origin.
The y-intercept of the line is 2.
Step-by-step explanation:
I know that it's a straight line because the equation is written in this format; y=mx+b (this is a linear equation meaning that it must be a straight line). In that equation, m is our slope and b is our y-intercept with this information. I know that the y-intercept is 2 since this equation is this y= –12x+2 (the 2 replaced the b which is our y-intercept). The line does not pass through the origin because its y-intercept is 2 which means it's impossible for the line to pass through the origin. (I hope this makes sense)
Hope this helped you
What is 2/5 + + 2/5 + 2/5
(2/5 times 3)
Ty
Answer:
6/5 or 1 1/5
Step-by-step explanation:
2/5 + 2/5 + 2/5 = 6/5 or 1 1/5
This is the same as multiplying 3 x 2/5 = 6/5 or 1 1/5
Answer:
6/5 or 1 1/5
Step-by-step explanation:
2/5 + 2/5 + 2/5 = 6/5 or 1 1/5
This is the same as multiplying 3 x 2/5 = 6/5 or 1 1/5
Step-by-step explanation:
3. Formulate 900 lbs of a 35% CP ration using Soybean Meal (46% CP) and Oats (12% CP). How many pounds of soybean meal will be used? How many pounds of oats will be used?
Answer:
The amount of Soyabean = 608.82 pounds.
The amount of Oats = 900-608.82 = 291.18 pounds.
Step-by-step explanation:
Given that the Soybean Meal has 46% CP and Oats has 12% CP.
The total amount of ration is 900 lbs of 35% CP.
Let x pounds of Soyabean has been used, so,
the amount of Oats = 900-x lbs.
The CP amount in 900 lbs mixture will be equal to the sum of CP amounts in x lbs Soyabean and 900-x lbs Oats, i.e
35% of 900 = 46% of x + 12% of (900-x)
[tex]\Rightarrow \frac{35}{100}\times 900=\frac{46}{100}\times x+\frac{12}{100}\times (900-x)[/tex]
[tex]\Rightarrow 35\times 900 = 46x + 12\times 900 - 12 x[/tex]
[tex]\Rightarrow 34x= 900(35-12)[/tex]
[tex]\Rightarrow x = (900\times 23)/34[/tex]
[tex]\Rightarrow x = 608.82[/tex] lbs.
So, the amount of Soyabean = 608.82 pounds.
The amount of Oats = 900-608.82 = 291.18 pounds.
Help please! Explain it to me. And give an idea to create
Answer:
You could design a solar panel.
Step-by-step explanation:
Nature uses sunlight to grow and provide food for animals, but it only uses what it needs. And it forms a function. So by designing a solar panel, you imitate the way nature works. Solar panels only soak in sunlight for energy when it needs it, which is a function that provides electricity.
(What the question is asking is that you design a product in which some of the aspects listed would be imitated)
What is the range of the function on the graph?
Answer:
The range is greater than or equal to -3
Step-by-step explanation:
The range is y.
At y = -6, x doesn't have values.
At y = -3, x stops; therefore, y is greater or equal to -3.
At y = 2, x has values.
What value of x makes the equation true?
6x+8=3x-19
A. x = 3
B. x = -3
C. x = -9
D. x = -11/3
Correct answer will get brainiest!
Answer:
C
Step-by-step explanation:
Given
6x + 8 = 3x - 19 ( subtract 3x from both sides )
3x + 8 = - 19 ( subtract 8 from both sides )
3x = - 27 ( divide both sides by 3 )
x = - 9 → C
Guys plz help me answer this question!!!
Awnser:
1/2 as m, and -3 as b
Step-by-step explanation:
To find the equation of any line, you use the formula: mx+b=y, where m is the slope, y is the y coordinate, b is the y intercept, and x is the x coordinate. However, it only asks for b and m.
You'll need to first find 2 points.
I chose: (6,0) and (0,-3).
The formula to find the slope is: y2-y1/x2-x1.
0-(-3)/6-0
0+3/6
3/6
1/2
Now we need to find the y intercept. However, the graph already tells you what it is. The y intercept always has to have 0 as x.
So the awnser is 1/2 as m, and -3 as b.
A new one-year membership at RecPlex costs $160. A registration fee of $28 is paid up front, and the rest is paid monthly. How much do new members pay each month? Write an equation for this..
Answer:
The first month new members have to pay 188 dollars for the membership.
The equation is 160x+28=y
x stands for the number of months and y stands for the total cost.
For the first month (membership starts) the total cost is 188$. For the second month the total money paid would be 348$. For the third month the total money paid would be 508$. And so on you can use the equation to solve for more months. Just substitute x for the number of months you are solving for.
can you writ the answe in a sheet on paper
Step-by-step explanation:
Make t the subject of the formula (5÷ t) -2 = s
__________________________________________________________
all the questions is on my page there is more 4
Find the length of C using the Pythagorean theorem
Answer:
14^2+48^2=2500 sqrt2500= 50 c=50
Step-by-step explanation:
The length of c using the Pythagorean theorem is 50 units.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle is ABC which is right angle triangle
AB=c
BC=14 and AC=48
We have to find the value of c
By Pythagoras theorem, in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
AB²=AC²+BC²
c²=48²+14²
c²=2304+196
c²=2500
Take square root on both sides
c=√2500
c=50
Hence, the length of c using the Pythagorean theorem is 50 units.
To learn more on trigonometry click:
https://brainly.com/question/25122835
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a spinner with 10 equally sized slices has 2 red slices, 4 blue slices, and yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red slice.
(Write your answer as a fraction in simplest form).
Since there are 10 total slices and 2 are red the probability of the dial stopping on a red slice is 2/10. But in simplest form 1/5.
The probability that the dial stops on a red slice is 1/5 or 20%.
What is Probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
In order to better grasp probability, let's look at a straightforward example. Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.
Given:
number of total slices = 10
Red slices = 2
Blue slices= 4
Yellow slices= 10- 6 = 4
Now, probability that the dial stops on a red slice
=2/10
=1/5
=1/5 x 100
=20%
Hence, the probability that the dial stops on a red slice is 1/5 or 20%..
Learn more about probability here:
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Shopping spree. Greg is shopping in a large urban depart-
ment store with many floors. He enters the store on the
middle floor from a skyway, and he goes directly to the
credit department. After making sure his credit is good, he
goes up three floors to the housewares department. Then
he goes down five floors to the sporting goods department.
Next, he goes up six floors to the media department. Finally,
he
goes
down ten floors to the main entrance to the store on
the first floor at ground level and leaves to go to another store.
How many floors does this department store have if it has no
basement?
Answer:
12 floors
Step-by-step explanation:
middle +3 floors= +3 .
+3 - 5 = -2.
-2 + 6= +4.
+4 - 10 = 6 x 2 = answer 12
to clarify the plus or minus mean how many floors he is above or below the middle floor
Sumiko and Jandella ran the bleachers together today at Poly High School. Sumiko runs these same bleachers every 6 days and Jandella runs them every 16 days. The soonest they will see each other again is in days.
Answer:
48 days
Step-by-step explanation:
Given that :
Sumiko runs bleachers every 6 days
Jandella runs bleachera every 16 days
The soonest they will see each other again is in days can be obtained by getting the lowest common multiple of 6 and 16
Multiples of
6 : 6, 12, 18, 24, 30, 36, 42, 48, 54,...
16 : 16, 32, 48, 64,...
Lowest common multiple of 6 and 16 = 48
Hence, the soonest they'll see each other again is in 48 days
Mai earns $7 per hour mowing her neighbors' lawns. She also earned $14 for hauling away bags of recyclables for some neighbors.
Answer:
Step-by-step explanation:
7x + 14 = 8.4x
14 = 1.4x
x = 10 hours
Each works 10 hours. Their total is 84 dollars each.
WILL MARK BRAINLEST, PLEASE HELP !!!
Answer:
rate of change = first derivative= g'(x)=-2x+6
plug -3 to 5 into that g'(x) equation, it will be your answer
Step-by-step explanation:
9514 1404 393
Answer:
4
Step-by-step explanation:
The average rate of change of f(x) on the interval [a, b] is computed from ...
m = (f(b) -f(a))/(b -a)
On the interval [-3, 5] the average rate of change is ...
m = (f(5) -f(3))/(5 -(-3)) = ((-5^2 +6·5 +12) -(-(-3)^2 +6(-3) +12))/8
= (-25 +30 +12 +9 +18 -12)/8 = 32/8
m = 4
The average rate of change on the interval is 4.
__
Alternate solution
The first derivative of the function is ...
f'(x) = -2x +6
The average rate of change of a parabolic function on an interval is the rated of change at the midpoint of the interval. Here, the midpoint is x=(5+(-3))/2 = 1, so the average rate of change is ...
f'(1) = -2(1) +6 = 4
What is the equation of the exponential function that passes through (0,10) and (3,80) ?
A. y= 80(20)^x
B. y=10(2)^2
C. y=2x+10
D. y=3x+8
Answer: B
Step-by-step explanation: